diff --git a/.agents/notes/implemented/feature/2026-08-05-durable-web-schedule.md b/.agents/notes/implemented/feature/2026-08-05-durable-web-schedule.md
index cbbd1950c3..31a06a4790 100644
--- a/.agents/notes/implemented/feature/2026-08-05-durable-web-schedule.md
+++ b/.agents/notes/implemented/feature/2026-08-05-durable-web-schedule.md
@@ -56,7 +56,7 @@ Schedule owns a numeric five-field parser rather than exposing Croner's language
 
 The frequency proof enumerates the complete 400-year Gregorian date cycle and combines it with exact times-of-day. It checks same-day neighbors, cross-midnight neighbors, and the cycle seam, rejecting any nominal interval below five minutes without maintaining a quota or sampling a shorter window.
 
-The exact production dependency is `croner@10.0.1`, an MIT-licensed ESM package with no transitive dependencies. Schedule gives it hidden seconds=`0` and year=`1-9999`, constructs it paused without a callback, and retains timer, gate, admission, and persistence ownership. The adapter rejects gap-normalized candidates, chooses the first instant in an overlap, and requires strict forward/backward cursor movement. JavaScript constructors remap years 0–99, so an owned local-calendar walker handles that lower range and its transition before safe-year searches delegate to Croner. Live create and due handling use current Croner and ICU; replay only checks canonical rule/zone shapes, whole-minute four-digit UTC instants, and `currentScheduledAt <= occurrenceAt <= acceptedAt < nextScheduledAt`, so tzdata changes never invalidate a committed history.
+The exact production dependency is `croner@10.0.1`, an MIT-licensed ESM package with no transitive dependencies. Schedule gives it hidden seconds=`0` and year=`1-9999`, constructs it paused without a callback, and retains timer, gate, admission, and persistence ownership. The adapter rejects gap-normalized candidates, chooses the first instant in an overlap, and requires strict forward/backward cursor movement. JavaScript constructors remap years 0–99, so an owned local-calendar walker handles that lower range and its transition before safe-year searches delegate to Croner. Live create and due handling, including the pre-append package invariant, use current Croner and ICU; replay only checks canonical rule/zone shapes, whole-minute four-digit UTC instants, and `currentScheduledAt <= occurrenceAt <= acceptedAt < nextScheduledAt`, so tzdata changes never invalidate a committed history.
 
 ### Persistence checkpoint and initialization recovery
 
diff --git a/.agents/notes/implemented/feature/2026-08-05-durable-web-schedule.zh.md b/.agents/notes/implemented/feature/2026-08-05-durable-web-schedule.zh.md
index 5c866af86a..73709865f2 100644
--- a/.agents/notes/implemented/feature/2026-08-05-durable-web-schedule.zh.md
+++ b/.agents/notes/implemented/feature/2026-08-05-durable-web-schedule.zh.md
@@ -56,7 +56,7 @@ Schedule 拥有自己的数值五字段 parser，而不开放 Croner 语言。
 
 频率证明会枚举完整的 400 年 Gregorian 日期周期，并与精确的一日内时刻组合。它会检查同日相邻时点、跨午夜相邻时点与周期首尾衔接处的相邻时点，拒绝任何短于 5 分钟的名义间隔；整个过程既不维护配额，也不对更短窗口采样。
 
-生产环境精确锁定的依赖是 `croner@10.0.1`：这是一个采用 MIT 许可证、不含传递依赖的 ESM 包。Schedule 为其提供隐藏的 seconds=`0` 与 year=`1-9999`，以 paused 状态且不带 callback 构造；timer、门控、准入与持久化仍由 Schedule 拥有。适配器会拒绝由夏令时空档规范化产生的候选值，在重叠时段选择第一个时刻，并要求正向与反向 cursor 严格移动。JavaScript 构造器会重映射 0–99 年，因此 Schedule 自有的本地日历搜索会处理这一低年份范围及其向安全年份的过渡；只有安全年份搜索才会委托给 Croner。live create 与到期处理使用当前 Croner 和 ICU；回放只检查规范化的规则／时区 shape、整分钟且年份为四位数的 UTC 时点，以及 `currentScheduledAt <= occurrenceAt <= acceptedAt < nextScheduledAt`，因此 tzdata 变化绝不会使已提交的 history 失效。
+生产环境精确锁定的依赖是 `croner@10.0.1`：这是一个采用 MIT 许可证、不含传递依赖的 ESM 包。Schedule 为其提供隐藏的 seconds=`0` 与 year=`1-9999`，以 paused 状态且不带 callback 构造；timer、门控、准入与持久化仍由 Schedule 拥有。适配器会拒绝由夏令时空档规范化产生的候选值，在重叠时段选择第一个时刻，并要求正向与反向 cursor 严格移动。JavaScript 构造器会重映射 0–99 年，因此 Schedule 自有的本地日历搜索会处理这一低年份范围及其向安全年份的过渡；只有安全年份搜索才会委托给 Croner。live create 与到期处理（包括 append 前的 package invariant）使用当前 Croner 和 ICU；回放只检查规范化的规则／时区 shape、整分钟且年份为四位数的 UTC 时点，以及 `currentScheduledAt <= occurrenceAt <= acceptedAt < nextScheduledAt`，因此 tzdata 变化绝不会使已提交的 history 失效。
 
 ### Persistence checkpoint 与初始化恢复
 
diff --git a/apps/web/tests/smoke-real.e2e.ts b/apps/web/tests/smoke-real.e2e.ts
index f32daebfe4..8d9fc8576c 100644
--- a/apps/web/tests/smoke-real.e2e.ts
+++ b/apps/web/tests/smoke-real.e2e.ts
@@ -27,6 +27,9 @@ import { afterAll, beforeAll, describe, expect, it, onTestFailed } from 'vitest'
 import { REPO_ROOT, connectFreshWorkspace, newEnglishPage, probeFreePort, requireDist, saveFailureShot } from './support.ts'
 
 const DEVELOPMENT_PROMPT = fileURLToPath(new URL('./snapshots/web-runtime-context/development-prompt.expected.md', import.meta.url))
+const WEB_TIME_ZONE = 'UTC'
+const SCHEDULE_OVERLAY = fileURLToPath(new URL('../../../examples/web-schedule/cordis.yml', import.meta.url))
+const REAL_SCHEDULE_PROMPT = 'REAL_MODEL_SCHEDULE_PROBE'
 
 function waitForReadyLine(child: ChildProcess): Promise<string> {
   return new Promise((resolveReady, reject) => {
@@ -69,7 +72,7 @@ async function rpc<T>(baseUrl: string, method: string, payload: unknown): Promis
 }
 
 interface HistoryPage {
-  events: { event: { type: string; data: unknown } }[]
+  events: { event: { type: string; data: unknown }; view?: unknown }[]
   hasMore: boolean
 }
 
@@ -99,8 +102,8 @@ function hasAssistantMarker(page: HistoryPage, marker: string): boolean {
   })
 }
 
-async function history(baseUrl: string, sessionId: string): Promise<HistoryPage> {
-  return rpc<HistoryPage>(baseUrl, 'session.history', { sessionId, maxMessages: 10 })
+async function history(baseUrl: string, sessionId: string, maxMessages = 10): Promise<HistoryPage> {
+  return rpc<HistoryPage>(baseUrl, 'session.history', { sessionId, maxMessages })
 }
 
 async function waitForProviderTitle(baseUrl: string, sessionId: string): Promise<string> {
@@ -241,11 +244,14 @@ describe('dsh web keyless CLI smoke', () => {
     )
     try {
       const baseUrl = await waitForReadyLine(child)
-      const created = await rpc<{ sessionId: string }>(baseUrl, 'session.create', {})
+      const created = await rpc<{ sessionId: string }>(baseUrl, 'session.create', {
+        timeZone: WEB_TIME_ZONE,
+      })
       await rpc<{ accepted: true }>(baseUrl, 'session.prompt', {
         sessionId: created.sessionId,
         mode: 'queue',
         content: [{ type: 'text', text: 'go' }],
+        clientTimeZone: WEB_TIME_ZONE,
       })
       const capturedRequests = await Promise.race([
         providerRequests,
@@ -353,11 +359,14 @@ describe('dsh web keyless CLI smoke', () => {
     )
     try {
       const baseUrl = await waitForReadyLine(child)
-      const created = await rpc<{ sessionId: string }>(baseUrl, 'session.create', {})
+      const created = await rpc<{ sessionId: string }>(baseUrl, 'session.create', {
+        timeZone: WEB_TIME_ZONE,
+      })
       await rpc<{ accepted: true }>(baseUrl, 'session.prompt', {
         sessionId: created.sessionId,
         mode: 'queue',
         content: [{ type: 'text', text: promptMarker }],
+        clientTimeZone: WEB_TIME_ZONE,
       })
       let page: HistoryPage | undefined
       await expect.poll(async () => {
@@ -437,11 +446,14 @@ describe('dsh web keyless CLI smoke', () => {
     )
     try {
       const baseUrl = await waitForReadyLine(child)
-      const created = await rpc<{ sessionId: string }>(baseUrl, 'session.create', {})
+      const created = await rpc<{ sessionId: string }>(baseUrl, 'session.create', {
+        timeZone: WEB_TIME_ZONE,
+      })
       await rpc<{ accepted: true }>(baseUrl, 'session.prompt', {
         sessionId: created.sessionId,
         mode: 'queue',
         content: [{ type: 'text', text: 'go' }],
+        clientTimeZone: WEB_TIME_ZONE,
       })
       const captured = await Promise.race([
         providerRequest,
@@ -465,6 +477,85 @@ describe('dsh web keyless CLI smoke', () => {
   })
 })
 
+describe.skipIf(!process.env.DEEPSEEK_API_KEY)('web Schedule smoke (real model)', () => {
+  it('creates and dispatches a reminder with durable tool and receipt evidence', async () => {
+    requireDist()
+    const sessionsDir = mkdtempSync(join(tmpdir(), 'dsh-web-schedule-real-'))
+    const tsxLoader = pathToFileURL(createRequire(join(REPO_ROOT, 'package.json')).resolve('tsx')).href
+    const child = spawn(
+      process.execPath,
+      [
+        '--import', tsxLoader, join(REPO_ROOT, 'apps/cli/src/bin.ts'),
+        'web', '--port', '0', '--patch', SCHEDULE_OVERLAY,
+      ],
+      {
+        cwd: sessionsDir,
+        env: {
+          ...process.env,
+          DSH_HOME: join(sessionsDir, '.dsh'),
+          DSH_AGENTS_HOME: join(sessionsDir, '.agents'),
+          TSX_TSCONFIG_PATH: join(REPO_ROOT, 'tsconfig.json'),
+        },
+        stdio: ['ignore', 'pipe', 'pipe'],
+      },
+    )
+    try {
+      const baseUrl = (await waitForReadyLine(child)).replace('0.0.0.0', '127.0.0.1')
+      const created = await rpc<{ sessionId: string }>(baseUrl, 'session.create', {
+        timeZone: WEB_TIME_ZONE,
+      })
+      await rpc<{ accepted: true }>(baseUrl, 'session.prompt', {
+        sessionId: created.sessionId,
+        mode: 'queue',
+        content: [{
+          type: 'text',
+          text: `Call schedule_create now with exactly {"prompt":"${REAL_SCHEDULE_PROMPT}","after_seconds":1}. Do not answer without using the tool.`,
+        }],
+        clientTimeZone: WEB_TIME_ZONE,
+      })
+
+      await expect.poll(async () => {
+        const page = await history(baseUrl, created.sessionId, 50)
+        const call = page.events.find(({ event }) =>
+          event.type === 'tool/call' && isRecord(event.data) && event.data.name === 'schedule_create')
+        const callId = isRecord(call?.event.data) ? call.event.data.callId : undefined
+        if (typeof callId !== 'string') return false
+        const result = page.events.find(({ event }) => {
+          if (event.type !== 'tool/result' || !isRecord(event.data) || !isRecord(event.data.message)) return false
+          const source = event.data.message.source
+          return isRecord(source) && source.callId === callId
+        })
+        const create = page.events.find(({ event }) => {
+          if (event.type !== 'schedule/change' || !isRecord(event.data)
+            || event.data.operation !== 'create' || !isRecord(event.data.schedule)) return false
+          return event.data.schedule.prompt === REAL_SCHEDULE_PROMPT
+        })
+        const schedule = isRecord(create?.event.data) && isRecord(create.event.data.schedule)
+          ? create.event.data.schedule
+          : undefined
+        const scheduleId = schedule?.id
+        if (typeof scheduleId !== 'string' || result === undefined
+          || !JSON.stringify(result.event.data).includes(scheduleId)) return false
+        const dispatch = page.events.find(({ event }) =>
+          event.type === 'schedule/change' && isRecord(event.data)
+          && event.data.operation === 'dispatch' && event.data.id === scheduleId)
+        if (dispatch === undefined || !isRecord(dispatch.view) || !isRecord(dispatch.view.view)) return false
+        return dispatch.view.for === 'event'
+          && dispatch.view.view.scheduleId === scheduleId
+          && dispatch.view.view.prompt === REAL_SCHEDULE_PROMPT
+      }, { timeout: 240_000, interval: 1_000 }).toBe(true)
+    } finally {
+      const closed = child.exitCode === null
+        ? new Promise<void>((resolveClose) => { child.once('close', () => { resolveClose() }) })
+        : Promise.resolve()
+      if (child.exitCode === null) child.kill('SIGTERM')
+      await Promise.race([closed, new Promise(resolve => setTimeout(resolve, 10_000).unref())])
+      if (child.exitCode === null) child.kill('SIGKILL')
+      rmSync(sessionsDir, { recursive: true, force: true })
+    }
+  }, 300_000)
+})
+
 describe.skipIf(!process.env.DEEPSEEK_API_KEY || notReady.length > 0)('web smoke (real host, real key, W5)', () => {
   let child: ChildProcess
   let sessionsDir: string
diff --git a/packages/schedule/tool-schedule/README.md b/packages/schedule/tool-schedule/README.md
index a3a2364e14..b41a90e22f 100644
--- a/packages/schedule/tool-schedule/README.md
+++ b/packages/schedule/tool-schedule/README.md
@@ -34,7 +34,7 @@ The public cron language has exactly five numeric fields: minute, hour, day of m
 
 Schedule proves the nominal local interval against the complete 400-year Gregorian cycle, including cross-midnight and cycle-seam neighbors, and rejects any rule that can recur in under five minutes. It canonicalizes the explicit zone through `Intl`; `UTC` and IANA Area/Location names or links are accepted, while local defaults, abbreviations, and numeric offsets are not.
 
-The private `croner@10.0.1` adapter runs paused without a callback or timer. It supplies hidden seconds=`0` and year=`1-9999`, filters daylight-saving gap normalization, chooses the first instant in an overlap, and strictly advances forward and backward cursors. Because JavaScript constructors remap years 0–99, an owned local-calendar search covers that lower range and its transition before the adapter delegates safe years to Croner. Create chooses the first match strictly after admission. A late wake retains the persisted target as its baseline, selects the latest newer current match at or before the shared `acceptedAt`, and finds the first future match. Replay validates only canonical structure, whole-minute UTC values, and monotonic dispatch relations; it never asks current Croner, ICU, or the frequency proof to re-decide a historical occurrence.
+The private `croner@10.0.1` adapter runs paused without a callback or timer. It supplies hidden seconds=`0` and year=`1-9999`, filters daylight-saving gap normalization, chooses the first instant in an overlap, and strictly advances forward and backward cursors. Because JavaScript constructors remap years 0–99, an owned local-calendar search covers that lower range and its transition before the adapter delegates safe years to Croner. Create chooses the first match strictly after admission. A late wake retains the persisted target as its baseline, selects the latest newer current match at or before the shared `acceptedAt`, and finds the first future match. The package invariant applies the same current calendar validation only to new live create and dispatch appends. Replay validates only canonical structure, whole-minute UTC values, and monotonic dispatch relations; it never asks current Croner, ICU, or the frequency proof to re-decide a historical occurrence.
 
 ## Management tools
 
diff --git a/packages/schedule/tool-schedule/README.zh.md b/packages/schedule/tool-schedule/README.zh.md
index 4290bbc3ef..5afd36e73b 100644
--- a/packages/schedule/tool-schedule/README.zh.md
+++ b/packages/schedule/tool-schedule/README.zh.md
@@ -34,7 +34,7 @@ Web Host 会在创建 Session 时以及每次提交提示词时校验并规范
 
 Schedule 会针对完整的 400 年 Gregorian 历法周期证明名义本地间隔，其中包括跨午夜相邻时点与周期首尾衔接处的相邻时点；任何可能以不足 5 分钟的间隔重复发生的规则都会被拒绝。它通过 `Intl` 规范化显式时区；接受 `UTC`、IANA Area/Location 名称或链接，不接受本地默认值、缩写或数值偏移。
 
-私有 `croner@10.0.1` 适配器以 paused 状态运行，不创建 callback 或 timer。它补入隐藏的 seconds=`0` 与 year=`1-9999`，过滤由夏令时空档规范化产生的候选值，在重叠时段选择第一个时刻，并严格推进正向与反向 cursor。由于 JavaScript 构造器会重映射 0–99 年，Schedule 自有的本地日历搜索会覆盖这一低年份范围及其向安全年份的过渡；只有进入安全年份后，适配器才会将搜索委托给 Croner。create 选择严格晚于 admission 的第一个 match。延迟唤醒以持久目标为 baseline，选择比 baseline 更新且不晚于共享 `acceptedAt` 的最新 current match，并找到第一个未来 match。回放只校验规范化结构、整分钟的 UTC 值与单调 dispatch 关系；绝不会让当前 Croner、ICU 或频率证明重新裁定历史 occurrence。
+私有 `croner@10.0.1` 适配器以 paused 状态运行，不创建 callback 或 timer。它补入隐藏的 seconds=`0` 与 year=`1-9999`，过滤由夏令时空档规范化产生的候选值，在重叠时段选择第一个时刻，并严格推进正向与反向 cursor。由于 JavaScript 构造器会重映射 0–99 年，Schedule 自有的本地日历搜索会覆盖这一低年份范围及其向安全年份的过渡；只有进入安全年份后，适配器才会将搜索委托给 Croner。create 选择严格晚于 admission 的第一个 match。延迟唤醒以持久目标为 baseline，选择比 baseline 更新且不晚于共享 `acceptedAt` 的最新 current match，并找到第一个未来 match。package invariant 只对新发生的 live create 与 dispatch append 应用同一套当前日历验证。回放只校验规范化结构、整分钟的 UTC 值与单调 dispatch 关系；绝不会让当前 Croner、ICU 或频率证明重新裁定历史 occurrence。
 
 ## 管理工具
 
diff --git a/packages/schedule/tool-schedule/src/domain.ts b/packages/schedule/tool-schedule/src/domain.ts
index b0b0a78ac0..c8b6402ed7 100644
--- a/packages/schedule/tool-schedule/src/domain.ts
+++ b/packages/schedule/tool-schedule/src/domain.ts
@@ -510,7 +510,7 @@ function parseCronField(raw: string, spec: CronFieldSpec): ParsedCronField {
     const canonical = step.value === 1 ? '*' : `*/${step.canonical}`
     return Object.freeze({
       canonical,
-      values: cronValues(cronRange(spec.min, spec.max, step.value), spec, canonical === '*'),
+      values: cronValues(cronRange(spec.min, spec.max, step.value), spec, true),
     })
   }
 
@@ -704,6 +704,7 @@ function isCanonicalCronCandidate(
   timeZone: string,
   epoch: number,
 ): boolean {
+  /* v8 ignore next 4 -- pinned Croner emits finite in-range whole-minute candidates for this expression. */
   if (!Number.isSafeInteger(epoch)
     || epoch < MIN_FOUR_DIGIT_YEAR_MS
     || epoch > MAX_FOUR_DIGIT_YEAR_MS
@@ -789,7 +790,6 @@ function nextCronInstant(rule: ParsedCronRule, timeZone: string, after: number):
   if (new Date(after).getUTCFullYear() <= CRONER_LOW_YEAR_CUTOFF) {
     const lower = ownedLowYearCronInstant(rule, timeZone, after, 1)
     if (lower !== undefined) return lower
-    cursor = Math.max(cursor, Date.parse('0109-12-31T23:59:59.999Z'))
   }
   const evaluator = cronEvaluator(rule, timeZone)
   const formatter = cronLocalFormatter(timeZone)
@@ -872,6 +872,26 @@ function previousCronInstant(
   return latestCronInstantThrough(rule, timeZone, baseline, acceptedAt)
 }
 
+/** Validate one newly appended Cron record against the current parser, ICU, and calendar adapter. */
+function validateLiveCronRecord(record: CronScheduleRecord): void {
+  try {
+    const rule = parseCronRule(record.cron)
+    const timeZone = canonicalizeTimeZone(record.timeZone)
+    if (timeZone !== record.timeZone) {
+      throw new ScheduleLogError('live cron timeZone must use its current canonical IANA name')
+    }
+    const target = Date.parse(record.scheduledAt)
+    if (nextCronInstant(rule, timeZone, target - 60_000) !== target) {
+      throw new ScheduleLogError('live cron scheduledAt must match its rule in the current time-zone data')
+    }
+  } catch (error: unknown) {
+    if (error instanceof ScheduleLogError) throw error
+    /* v8 ignore next -- current parser and adapter failures are Error subclasses. */
+    const detail = error instanceof Error ? error.message : String(error)
+    throw new ScheduleLogError(`live cron record is invalid: ${detail}`)
+  }
+}
+
 /** Decode the exact v1 after record shape. */
 function decodeAfterRecord(value: unknown): AfterScheduleRecord {
   if (!isRecord(value) || !hasExactKeys(value, ['id', 'kind', 'prompt', 'afterSeconds', 'scheduledAt'])) {
@@ -1270,6 +1290,33 @@ export function foldScheduleEvents(
   })
 }
 
+/**
+ * Validate a newly appended Cron fact with current calendar data without revalidating replay history.
+ * @param events - Complete exact-session log before the candidate append.
+ * @param value - Candidate `schedule/change` payload.
+ * @param seedLength - Inherited prefix length excluded from child ownership.
+ */
+export function validateLiveScheduleChange(
+  events: readonly SessionEvent[],
+  value: unknown,
+  seedLength = 0,
+): void {
+  const change = decodeScheduleChange(value)
+  if (change.operation === 'create') {
+    if (change.schedule.kind === 'cron') validateLiveCronRecord(change.schedule)
+    return
+  }
+  if (change.operation !== 'dispatch' || !('acceptedAt' in change) || !('occurrenceAt' in change)) return
+  const record = foldScheduleEvents(events, seedLength).active.find(candidate => candidate.id === change.id)
+  /* v8 ignore next -- the preceding candidate fold requires calendar fields to target an active Cron record. */
+  if (record?.kind !== 'cron') return
+  const expected = resolveCronOccurrence(record, Date.parse(change.acceptedAt))
+  const nextScheduledAt = 'nextScheduledAt' in change ? change.nextScheduledAt : undefined
+  if (change.occurrenceAt !== expected.occurrenceAt || nextScheduledAt !== expected.nextScheduledAt) {
+    throw new ScheduleLogError('live cron dispatch must match the current calendar decision')
+  }
+}
+
 /**
  * Allocate the next readable id without reusing any prior session-local id.
  * @param folded - Fold containing every previously created id.
diff --git a/packages/schedule/tool-schedule/src/invariant.ts b/packages/schedule/tool-schedule/src/invariant.ts
index 2e7af53e1b..fae38ec647 100644
--- a/packages/schedule/tool-schedule/src/invariant.ts
+++ b/packages/schedule/tool-schedule/src/invariant.ts
@@ -6,7 +6,7 @@
 import type { Context } from 'cordis'
 import type { Session, SessionEvent } from '@deepseek-ai/dsh-session'
 import type { InvariantFailure, InvariantInstaller } from '@deepseek-ai/dsh-invariants'
-import { foldScheduleEvents, ScheduleLogError } from './domain.ts'
+import { foldScheduleEvents, ScheduleLogError, validateLiveScheduleChange } from './domain.ts'
 
 const PACKAGE_NAME = '@deepseek-ai/dsh-tool-schedule'
 
@@ -15,17 +15,22 @@ export const name = 'tool-schedule-invariant'
 /** Service required before reserving this package's invariant ownership. */
 export const inject = ['invariants']
 
-/** Validate a complete exact-session stream under its fork suffix policy. */
-function validate(events: readonly SessionEvent[], seedLength: number, fail: InvariantFailure): void {
+/** Convert an owned Schedule validation failure into the invariant service's failure channel. */
+function report(run: () => void, fail: InvariantFailure): void {
   try {
-    foldScheduleEvents(events, seedLength)
+    run()
   } catch (error: unknown) {
-    /* v8 ignore next -- foldScheduleEvents normalizes every rejected stream to ScheduleLogError. */
+    /* v8 ignore next -- owned Schedule validators normalize failures to ScheduleLogError. */
     if (!(error instanceof ScheduleLogError)) throw error
     fail(error.message)
   }
 }
 
+/** Validate a complete exact-session stream under its fork suffix policy. */
+function validate(events: readonly SessionEvent[], seedLength: number, fail: InvariantFailure): void {
+  report(() => { foldScheduleEvents(events, seedLength) }, fail)
+}
+
 /* jscpd:ignore-start -- package companions share replay and dispatch plumbing */
 /** Install replay and pre-append validation for the owned event stream. */
 const install: InvariantInstaller = Object.assign((ctx: Context, fail: InvariantFailure) => {
@@ -40,6 +45,9 @@ const install: InvariantInstaller = Object.assign((ctx: Context, fail: Invariant
     const [session, event] = args as [Session, SessionEvent]
     if (event.type !== 'schedule/change') return
     validate([...session.events, event], session.header.seedLength ?? 0, fail)
+    report(() => {
+      validateLiveScheduleChange(session.events, event.data, session.header.seedLength ?? 0)
+    }, fail)
   }, { global: true })
 }, { inject: ['sessions'] })
 /* jscpd:ignore-end */
diff --git a/packages/schedule/tool-schedule/tests/cron.spec.ts b/packages/schedule/tool-schedule/tests/cron.spec.ts
index 98491ae831..bfd7dee4ce 100644
--- a/packages/schedule/tool-schedule/tests/cron.spec.ts
+++ b/packages/schedule/tool-schedule/tests/cron.spec.ts
@@ -48,6 +48,7 @@ describe('restricted cron grammar and frequency proof', () => {
     ['5-20/05 1-3 * * *', '5-20/5 1-3 * * *'],
     ['05 01 01,15 01,12 *', '5 1 1,15 1,12 *'],
     ['0 0 * * 7', '0 0 * * 7'],
+    ['0 9 * * */7', '0 9 * * */7'],
   ])('canonicalizes %s', (input, canonical) => {
     expect(canonicalizeCronExpression(input)).toBe(canonical)
   })
@@ -181,6 +182,13 @@ describe('Croner calendar adapter', () => {
       occurrenceAt: yearOne.scheduledAt,
       nextScheduledAt: '0001-01-03T00:00:00.000Z',
     })
+    expect(createCronScheduleRecord(
+      ScheduleId('schedule-low-year-positive-offset-seam'),
+      'positive offset seam',
+      '0 0 1 1 *',
+      'Etc/GMT-14',
+      Date.parse('0108-12-31T23:59:59.999Z'),
+    ).scheduledAt).toBe('0109-12-31T10:00:00.000Z')
   })
 
   it('skips a DST gap and chooses the first instant in an overlap', () => {
diff --git a/packages/schedule/tool-schedule/tests/invariant.spec.ts b/packages/schedule/tool-schedule/tests/invariant.spec.ts
index 505aa88845..fab523e617 100644
--- a/packages/schedule/tool-schedule/tests/invariant.spec.ts
+++ b/packages/schedule/tool-schedule/tests/invariant.spec.ts
@@ -4,7 +4,7 @@ import InvariantService, { InvariantError } from '@deepseek-ai/dsh-invariants'
 import SessionStore, { SessionId } from '@deepseek-ai/dsh-session'
 import type { SessionEvent } from '@deepseek-ai/dsh-session'
 import * as scheduleInvariant from '../src/invariant.ts'
-import { ScheduleId } from '../src/domain.ts'
+import { createCronScheduleRecord, resolveCronOccurrence, ScheduleId } from '../src/domain.ts'
 import type { ScheduleChange } from '../src/types.ts'
 
 function event(data: unknown, seq: number): SessionEvent {
@@ -53,6 +53,100 @@ describe('Schedule package invariant', () => {
     await ctx.fiber.dispose()
   })
 
+  it('validates live Cron records and dispatches with current calendar data', async () => {
+    const { ctx } = await harness()
+    const session = ctx.sessions.create(SessionId('schedule-live-cron-invariant'))
+    expect(() => session.append('schedule/change', {
+      version: 1,
+      operation: 'create',
+      schedule: {
+        id: ScheduleId('schedule-invalid-live-cron'),
+        kind: 'cron',
+        prompt: 'invalid current target',
+        cron: '0 9 * * *',
+        timeZone: 'UTC',
+        scheduledAt: '2026-08-06T12:00:00.000Z',
+      },
+    })).toThrow(InvariantError)
+    expect(() => session.append('schedule/change', {
+      version: 1,
+      operation: 'create',
+      schedule: {
+        id: ScheduleId('schedule-alias-live-cron'),
+        kind: 'cron',
+        prompt: 'noncanonical zone',
+        cron: '0 9 * * *',
+        timeZone: 'US/Eastern',
+        scheduledAt: '2026-08-06T13:00:00.000Z',
+      },
+    })).toThrow(InvariantError)
+    expect(() => session.append('schedule/change', {
+      version: 1,
+      operation: 'create',
+      schedule: {
+        id: ScheduleId('schedule-fast-live-cron'),
+        kind: 'cron',
+        prompt: 'too frequent',
+        cron: '* * * * *',
+        timeZone: 'UTC',
+        scheduledAt: '2026-08-06T12:00:00.000Z',
+      },
+    })).toThrow(InvariantError)
+
+    const record = createCronScheduleRecord(
+      ScheduleId('schedule-valid-live-cron'),
+      'valid current target',
+      '0 9 * * *',
+      'UTC',
+      Date.parse('2026-08-06T08:00:00.000Z'),
+    )
+    session.append('schedule/change', { version: 1, operation: 'create', schedule: record })
+    const acceptedAt = '2026-08-07T12:00:00.000Z'
+    const expected = resolveCronOccurrence(record, Date.parse(acceptedAt))
+    expect(() => session.append('schedule/change', {
+      version: 1,
+      operation: 'dispatch',
+      id: record.id,
+      occurrenceAt: record.scheduledAt,
+      acceptedAt,
+      nextScheduledAt: expected.nextScheduledAt,
+    })).toThrow(InvariantError)
+    expect(session.events).toHaveLength(1)
+    session.append('schedule/change', {
+      version: 1,
+      operation: 'dispatch',
+      id: record.id,
+      occurrenceAt: expected.occurrenceAt,
+      acceptedAt,
+      nextScheduledAt: expected.nextScheduledAt,
+    })
+    expect(session.events).toHaveLength(2)
+    await ctx.fiber.dispose()
+  })
+
+  it('keeps existing Cron replay structural across time-zone data changes', async () => {
+    const ctx = new Context()
+    await ctx.plugin(SessionStore)
+    await ctx.plugin(InvariantService)
+    ctx.sessions.create(SessionId('schedule-historical-cron-invariant'), {
+      seed: [event({
+        version: 1,
+        operation: 'create',
+        schedule: {
+          id: 'schedule-historical-cron',
+          kind: 'cron',
+          prompt: 'historical target',
+          cron: '0 9 * * *',
+          timeZone: 'UTC',
+          scheduledAt: '2026-08-06T12:00:00.000Z',
+        },
+      }, 0)],
+    })
+    const fiber = await ctx.plugin(scheduleInvariant)
+    await fiber.dispose()
+    await ctx.fiber.dispose()
+  })
+
   it('rejects a malformed existing owned stream during companion setup', async () => {
     const ctx = new Context()
     await ctx.plugin(SessionStore)