[codex] Add run liveness continuations (#4083)

## Thinking Path

> - Paperclip orchestrates AI agents for zero-human companies.
> - Heartbeat runs are the control-plane record of each agent execution
window.
> - Long-running local agents can exhaust context or stop while still
holding useful next-step state.
> - Operators need that stop reason, next action, and continuation path
to be durable and visible.
> - This pull request adds run liveness metadata, continuation
summaries, and UI surfaces for issue run ledgers.
> - The benefit is that interrupted or long-running work can resume with
clearer context instead of losing the agent's last useful handoff.

## What Changed

- Added heartbeat-run liveness fields, continuation attempt tracking,
and an idempotent `0058` migration.
- Added server services and tests for run liveness, continuation
summaries, stop metadata, and activity backfill.
- Wired local and HTTP adapters to surface continuation/liveness context
through shared adapter utilities.
- Added shared constants, validators, and heartbeat types for liveness
continuation state.
- Added issue-detail UI surfaces for continuation handoffs and the run
ledger, with component tests.
- Updated agent runtime docs, heartbeat protocol docs, prompt guidance,
onboarding assets, and skills instructions to explain continuation
behavior.
- Addressed Greptile feedback by scoping document evidence by run,
excluding system continuation-summary documents from liveness evidence,
importing shared liveness types, surfacing hidden ledger run counts,
documenting bounded retry behavior, and moving run-ledger liveness
backfill off the request path.

## Verification

- `pnpm exec vitest run packages/adapter-utils/src/server-utils.test.ts
server/src/__tests__/run-continuations.test.ts
server/src/__tests__/run-liveness.test.ts
server/src/__tests__/activity-service.test.ts
server/src/__tests__/documents-service.test.ts
server/src/__tests__/issue-continuation-summary.test.ts
server/src/services/heartbeat-stop-metadata.test.ts
ui/src/components/IssueRunLedger.test.tsx
ui/src/components/IssueContinuationHandoff.test.tsx
ui/src/components/IssueDocumentsSection.test.tsx`
- `pnpm --filter @paperclipai/db build`
- `pnpm exec vitest run server/src/__tests__/activity-service.test.ts
ui/src/components/IssueRunLedger.test.tsx`
- `pnpm --filter @paperclipai/ui typecheck`
- `pnpm --filter @paperclipai/server typecheck`
- `pnpm exec vitest run server/src/__tests__/activity-service.test.ts
server/src/__tests__/run-continuations.test.ts
ui/src/components/IssueRunLedger.test.tsx`
- `pnpm exec vitest run
server/src/__tests__/heartbeat-process-recovery.test.ts -t "treats a
plan document update"`
- `pnpm exec vitest run server/src/__tests__/activity-service.test.ts
server/src/__tests__/heartbeat-process-recovery.test.ts -t "activity
service|treats a plan document update"`
- Remote PR checks on head `e53b1a1d`: `verify`, `e2e`, `policy`, and
Snyk all passed.
- Confirmed `public-gh/master` is an ancestor of this branch after
fetching `public-gh master`.
- Confirmed `pnpm-lock.yaml` is not included in the branch diff.
- Confirmed migration `0058_wealthy_starbolt.sql` is ordered after
`0057` and uses `IF NOT EXISTS` guards for repeat application.
- Greptile inline review threads are resolved.

## Risks

- Medium risk: this touches heartbeat execution, liveness recovery,
activity rendering, issue routes, shared contracts, docs, and UI.
- Migration risk is mitigated by additive columns/indexes and idempotent
guards.
- Run-ledger liveness backfill is now asynchronous, so the first ledger
response can briefly show historical missing liveness until the
background backfill completes.
- UI screenshot coverage is not included in this packaging pass;
validation is currently through focused component tests.

> For core feature work, check [`ROADMAP.md`](ROADMAP.md) first and
discuss it in `#dev` before opening the PR. Feature PRs that overlap
with planned core work may need to be redirected — check the roadmap
first. See `CONTRIBUTING.md`.

## Model Used

- OpenAI Codex, GPT-5.4, local tool-use coding agent with terminal, git,
GitHub connector, GitHub CLI, and Paperclip API access.

## Checklist

- [x] I have included a thinking path that traces from project context
to this change
- [x] I have specified the model used (with version and capability
details)
- [x] I have checked ROADMAP.md and confirmed this PR does not duplicate
planned core work
- [x] I have run tests locally and they pass
- [x] I have added or updated tests where applicable
- [x] If this change affects the UI, I have included before/after
screenshots
- [x] I have updated relevant documentation to reflect my changes
- [x] I have considered and documented any risks above
- [x] I will address all Greptile and reviewer comments before
requesting merge

Screenshot note: no before/after screenshots were captured in this PR
packaging pass; the UI changes are covered by focused component tests
listed above.

---------

Co-authored-by: Paperclip <noreply@paperclip.ing>

packages/shared/src/constants.ts

@@ -141,6 +141,16 @@ export type IssueOriginKind = (typeof ISSUE_ORIGIN_KINDS)[number];
 export const ISSUE_RELATION_TYPES = ["blocks"] as const;
 export type IssueRelationType = (typeof ISSUE_RELATION_TYPES)[number];
 
+export const ISSUE_CONTINUATION_SUMMARY_DOCUMENT_KEY = "continuation-summary" as const;
+export const SYSTEM_ISSUE_DOCUMENT_KEYS = [ISSUE_CONTINUATION_SUMMARY_DOCUMENT_KEY] as const;
+export type SystemIssueDocumentKey = (typeof SYSTEM_ISSUE_DOCUMENT_KEYS)[number];
+
+const SYSTEM_ISSUE_DOCUMENT_KEY_SET = new Set<string>(SYSTEM_ISSUE_DOCUMENT_KEYS);
+
+export function isSystemIssueDocumentKey(key: string): key is SystemIssueDocumentKey {
+  return SYSTEM_ISSUE_DOCUMENT_KEY_SET.has(key);
+}
+
 export const ISSUE_EXECUTION_POLICY_MODES = ["normal", "auto"] as const;
 export type IssueExecutionPolicyMode = (typeof ISSUE_EXECUTION_POLICY_MODES)[number];
 
@@ -343,6 +353,17 @@ export const HEARTBEAT_RUN_STATUSES = [
 ] as const;
 export type HeartbeatRunStatus = (typeof HEARTBEAT_RUN_STATUSES)[number];
 
+export const RUN_LIVENESS_STATES = [
+  "completed",
+  "advanced",
+  "plan_only",
+  "empty_response",
+  "blocked",
+  "failed",
+  "needs_followup",
+] as const;
+export type RunLivenessState = (typeof RUN_LIVENESS_STATES)[number];
+
 export const LIVE_EVENT_TYPES = [
   "heartbeat.run.queued",
   "heartbeat.run.status",

packages/shared/src/index.ts

@@ -16,6 +16,9 @@ export {
   ISSUE_PRIORITIES,
   ISSUE_ORIGIN_KINDS,
   ISSUE_RELATION_TYPES,
+  ISSUE_CONTINUATION_SUMMARY_DOCUMENT_KEY,
+  SYSTEM_ISSUE_DOCUMENT_KEYS,
+  isSystemIssueDocumentKey,
   ISSUE_EXECUTION_POLICY_MODES,
   ISSUE_EXECUTION_STAGE_TYPES,
   ISSUE_EXECUTION_STATE_STATUSES,
@@ -49,6 +52,7 @@ export {
   BUDGET_INCIDENT_RESOLUTION_ACTIONS,
   HEARTBEAT_INVOCATION_SOURCES,
   HEARTBEAT_RUN_STATUSES,
+  RUN_LIVENESS_STATES,
   WAKEUP_TRIGGER_DETAILS,
   WAKEUP_REQUEST_STATUSES,
   LIVE_EVENT_TYPES,
@@ -93,6 +97,7 @@ export {
   type IssuePriority,
   type IssueOriginKind,
   type IssueRelationType,
+  type SystemIssueDocumentKey,
   type IssueExecutionPolicyMode,
   type IssueExecutionStageType,
   type IssueExecutionStateStatus,
@@ -125,6 +130,7 @@ export {
   type BudgetIncidentResolutionAction,
   type HeartbeatInvocationSource,
   type HeartbeatRunStatus,
+  type RunLivenessState,
   type WakeupTriggerDetail,
   type WakeupRequestStatus,
   type LiveEventType,
@@ -494,6 +500,7 @@ export {
   type UpdateProjectWorkspace,
   projectExecutionWorkspacePolicySchema,
   createIssueSchema,
+  createChildIssueSchema,
   createIssueLabelSchema,
   updateIssueSchema,
   issueExecutionPolicySchema,
@@ -521,6 +528,7 @@ export {
   upsertIssueDocumentSchema,
   restoreIssueDocumentRevisionSchema,
   type CreateIssue,
+  type CreateChildIssue,
   type CreateIssueLabel,
   type UpdateIssue,
   type CheckoutIssue,

packages/shared/src/types/heartbeat.ts

@@ -3,6 +3,7 @@ import type {
   AgentStatus,
   HeartbeatInvocationSource,
   HeartbeatRunStatus,
+  RunLivenessState,
   WakeupTriggerDetail,
   WakeupRequestStatus,
 } from "../constants.js";
@@ -38,6 +39,11 @@ export interface HeartbeatRun {
   processStartedAt: Date | null;
   retryOfRunId: string | null;
   processLossRetryCount: number;
+  livenessState: RunLivenessState | null;
+  livenessReason: string | null;
+  continuationAttempt: number;
+  lastUsefulActionAt: Date | null;
+  nextAction: string | null;
   contextSnapshot: Record<string, unknown> | null;
   createdAt: Date;
   updatedAt: Date;

packages/shared/src/validators/index.ts

@@ -134,6 +134,7 @@ export {
 
 export {
   createIssueSchema,
+  createChildIssueSchema,
   createIssueLabelSchema,
   updateIssueSchema,
   issueExecutionPolicySchema,
@@ -148,6 +149,7 @@ export {
   upsertIssueDocumentSchema,
   restoreIssueDocumentRevisionSchema,
   type CreateIssue,
+  type CreateChildIssue,
   type CreateIssueLabel,
   type UpdateIssue,
   type IssueExecutionWorkspaceSettings,

packages/shared/src/validators/issue.ts

@@ -138,6 +138,18 @@ export const createIssueSchema = z.object({
 
 export type CreateIssue = z.infer<typeof createIssueSchema>;
 
+export const createChildIssueSchema = createIssueSchema
+  .omit({
+    parentId: true,
+    inheritExecutionWorkspaceFromIssueId: true,
+  })
+  .extend({
+    acceptanceCriteria: z.array(z.string().trim().min(1).max(500)).max(20).optional(),
+    blockParentUntilDone: z.boolean().optional().default(false),
+  });
+
+export type CreateChildIssue = z.infer<typeof createChildIssueSchema>;
+
 export const createIssueLabelSchema = z.object({
   name: z.string().trim().min(1).max(48),
   color: z.string().regex(/^#(?:[0-9a-fA-F]{6})$/, "Color must be a 6-digit hex value"),