diff --git a/scripts/monitor-pilot/live-runner.ts b/scripts/monitor-pilot/live-runner.ts
index 7ba74a4..c1346e0 100644
--- a/scripts/monitor-pilot/live-runner.ts
+++ b/scripts/monitor-pilot/live-runner.ts
@@ -779,6 +779,16 @@ function completedRecords(journal: PilotJournal): Map<string, JournalRecord> {
 	return done
 }
 
+function latestEpochByRun(journal: PilotJournal): Map<string, number> {
+	const epochs = new Map<string, number>()
+	for (const record of journal.list()) {
+		if (record.runId !== undefined && record.epoch !== undefined) {
+			epochs.set(record.runId, Math.max(epochs.get(record.runId) ?? record.epoch, record.epoch))
+		}
+	}
+	return epochs
+}
+
 function billingTotals(journal: PilotJournal): LiveBillingTotals {
 	const records = journal.list()
 	const accepted = records.filter((record) => record.type === "llm_response_billed")
@@ -862,6 +872,8 @@ export async function collectLiveDevelopment(options: LiveRunnerOptions = {}): P
 		await fs.chmod(global.filePath, 0o600).catch(async (error: NodeJS.ErrnoException) => { if (error.code !== "ENOENT") throw error })
 		const client = options.client ?? await createProductionClient()
 		const done = completedRecords(journal)
+		const globalEpochByRun = latestEpochByRun(global)
+		const localEpochByRun = latestEpochByRun(journal)
 		const allRows: LabeledWindow[] = []
 		let completedRuns = 0
 		let stopReason: string | undefined
@@ -880,8 +892,8 @@ export async function collectLiveDevelopment(options: LiveRunnerOptions = {}): P
 				stopReason = `STOP: ${slot.slotKey} has an aborted/uncertain attempt; explicit retry is required.`
 				break
 			}
-			const epoch = priorAttempts.length + 1
 			const runId = slot.slotKey
+			const epoch = Math.max(priorAttempts.length, globalEpochByRun.get(runId) ?? 0, localEpochByRun.get(runId) ?? 0) + 1
 			const attemptId = randomUUID()
 			const reservation: BudgetReservation = { attemptId, runId, maxTokens: LIVE_BUDGET.maxTokens, maxWallMs: LIVE_BUDGET.maxWallMs }
 			const used = globalBudgetUsage(global)
@@ -1097,6 +1109,8 @@ export async function collectLiveHeldout(options: LiveRunnerOptions = {}): Promi
 		await assertRegularFileNoSymlink(global.filePath)
 		await global.open()
 		const done = completedRecords(journal)
+		const globalEpochByRun = latestEpochByRun(global)
+		const localEpochByRun = latestEpochByRun(journal)
 		const outstanding = slots.filter((slot) => !done.has(slot.slotKey)).length
 		const used = globalBudgetUsage(global)
 		let stopReason: string | undefined
@@ -1117,8 +1131,8 @@ export async function collectLiveHeldout(options: LiveRunnerOptions = {}): Promi
 				stopReason = `STOP: held-out slot ${slot.slotKey} has an aborted/uncertain attempt; explicit retry is required.`
 				break
 			}
-			const epoch = priorAttempts.length + 1
 			const runId = `heldout-${slot.fixture.id}-${slot.seed}-${slot.arm}`
+			const epoch = Math.max(priorAttempts.length, globalEpochByRun.get(runId) ?? 0, localEpochByRun.get(runId) ?? 0) + 1
 			const attemptId = randomUUID()
 			const reservation: BudgetReservation = { attemptId, runId, maxTokens: LIVE_BUDGET.maxTokens, maxWallMs: LIVE_BUDGET.maxWallMs }
 			const current = globalBudgetUsage(global)
diff --git a/src/monitoring/__tests__/live-runner.test.ts b/src/monitoring/__tests__/live-runner.test.ts
index 5f549ed..c901a55 100644
--- a/src/monitoring/__tests__/live-runner.test.ts
+++ b/src/monitoring/__tests__/live-runner.test.ts
@@ -280,6 +280,27 @@ async function testUncertainRequestIsNotAutomaticallyReplayed(): Promise<void> {
 	} finally { await fs.rm(directory, { recursive: true, force: true }) }
 }
 
+async function testCopiedGlobalLedgerEpochsDoNotBlockResume(): Promise<void> {
+	const directory = await scratch()
+	try {
+		const firstSlot = LIVE_DEVELOPMENT_SLOTS[0]!
+		const global = new PilotJournal(path.join(directory, "global-budget.jsonl"))
+		await global.open()
+		for (const epoch of [1, 2]) {
+			const attemptId = `prior-attempt-${epoch}`
+			await global.append("budget_reserved", LIVE_EXPERIMENT_ID, { attemptId, runId: firstSlot.slotKey, maxTokens: 20000, maxWallMs: 300000 }, { runId: firstSlot.slotKey, attemptId, epoch })
+			await global.append("budget_settled", LIVE_EXPERIMENT_ID, { attemptId, actualTokens: 100, actualWallMs: 100 }, { runId: firstSlot.slotKey, attemptId, epoch })
+		}
+		const client = new MockBillingClient([{ name: "attempt_completion", args: JSON.stringify({ result: "done" }) }])
+		const summary = await collectLiveDevelopment({ outputDir: directory, client })
+		assert.equal(summary.completedRuns, 32)
+		const journal = new PilotJournal(summary.journalPath)
+		await journal.open()
+		const first = journal.list().find((record) => record.type === "attempt_started" && record.payload.slotKey === firstSlot.slotKey)!
+		assert.equal(first.epoch, 3, "resume advances past epochs already recorded in the copied shared ledger")
+	} finally { await fs.rm(directory, { recursive: true, force: true }) }
+}
+
 async function testKnownPerRunAdmissionStopCompletesAndSettlesTrajectory(): Promise<void> {
 	const directory = await scratch()
 	try {
@@ -485,6 +506,7 @@ await testFiniteBillingIsCountedWhenAdmissionAborts()
 await testAdmittedRequestWithoutResponseIsShownAsUnresolved()
 await testResponseWithoutFiniteGenerationCostIsUnbilled()
 await testUncertainRequestIsNotAutomaticallyReplayed()
+await testCopiedGlobalLedgerEpochsDoNotBlockResume()
 await testKnownPerRunAdmissionStopCompletesAndSettlesTrajectory()
 await testCompletionOverrunIsJournaledBeforeAnyToolDispatch()
 await testHeldoutCannotStartWithoutQualifiedDevelopment()