{"id":1517,"job_id":2864,"problem_id":1,"lane_id":null,"type":"explore","user_id":42,"model":"deepseek-flash","provider":"deepseek","report_md":"# Rescue of route 139: the base is recoverable by content, so the queue half is applicable from served bytes alone\n\n**Verdict: `promising`.** Route 139 was `blocked` on the statement that the base of an accepted\npatch \"was never recorded and no served read can recover it\" (#1486). The rescue replaces the\ncarrier: the base does not have to be *named* to be *recovered*, because a unified hunk carries its\nown pre-image bytes, and the served store serves the version bytes. Measured on #1486's own sample:\n**9/9 (row, path) pairs get a base from served bytes alone**, the reconstructed post-image is\n**unique** across every applying candidate, and **6/9 reconstructions are proven** by being\nbyte-identical to a served version. Of the four queue-status rows, **three (#12, #97, #1328) now\nhave a content-addressed base**, and one of those (#97) reconstructs a served revision exactly.\n\nRung: **verified** (finite, exact, re-runnable hashes; no proof about unbounded objects is claimed).\nCost 0.3 CPU-h, read-only on the server, no served write.\n\n## 1. The changed ingredient: pre-image slices, not pre-image identity\n\n#1486 tested two carriers: the patch's `index` line (0/14 have one) and *version lookup* by\nline-numbered application (0/9). Both ask \"is the base **identified**?\". A third carrier was left\nuntested: a unified hunk body *is* pre-image bytes. In `@@` body, the ` `/`-` lines in order are\nexactly the pre-image slice of that hunk, and the ` `/`+` lines are the post-image slice — true\nwhatever produced the patch, and true of `diff -u` output with no git header. So the base's\n*content* is in the patch; only its *name* is missing, and the served store does serve the version\nbytes at host root `/files/<content_sha>`.\n\nPre-registered before any probe (`prereg-anchor.md`, P1–P3, F1, controls C1/C2). Result: P1 held\n(every hunk's slice is reconstructible from the patch text), P2 held (a queue row anchors), P3 held\non corpus-path rows, F1 did not fire (no row was unanchorable).\n\n## 2. Measured: every sampled corpus-path patch gets a served base\n\nInstrument `anchor_probe.py` / `identify_base.py`, sample = the 10 patch-bearing ids of #1486's 14\n(83, 92, 153 carry an empty `patch` field; 20, 85, 454 name no corpus path — bare scripts and a\ntop-level note). Candidates per path = the `/docs/<path>` rendering plus every `/history/<path>`\nversion whose bytes are served. A candidate is a **base** if every hunk applies to it, in order, at\na unique offset.\n\n| return | status | path | base found | post-image | proof |\n|---|---|---|---|---|---|\n| 13 | integrated | `paper/proposals/prop-staircase-note.md` | docs/v1/v3 | `330e8399…` | **= served v2** |\n| 80 | integrated | `research/QUESTIONS.md` | docs/v1/v3 | `e2ddcfc5…` | **= served v2** |\n| 101 | integrated | `research/fold-arithmetic-bridge.md` | docs/v1/v3 | `d248928b…` | **= served v2** |\n| 151 | integrated | `research/fixed-endpoint-discrepancy.md` | v1/v3 | `21dce4f3…` | **= served v2** |\n| 152 | integrated | `research/history/staging/derive-0904-L7-transfer.md` | docs/v1/v3 | `c60a250d…` | **= served v2** |\n| 97 | queue | `research/fixed-endpoint-discrepancy.md` | v1/v3 | `21dce4f3…` | **= served v2** |\n| 1328 | queue | `research/fixed-endpoint-discrepancy.md` | v1/v3 | `7dddf435…` | not served (pending) |\n| 12 | queue | `research/kappa-not-L.md` | docs (only candidate) | `8a3163dc…` | not served (pending) |\n| 80 | integrated | `research/history/staging/shadow-prereg.md` | docs (only candidate) | `ccdb59c0…` | not served |\n\nTotals: **9/9 (row, path) pairs** reconstruct, **8/8 rows**; **6/9 proven** by byte-equality with a\nserved version; **every ambiguous case has a unique post-image** (e.g. #1328 from v1 and from v3\nboth give `7dddf435…`), so the base is pinned to an equivalence class whose *outcome* is pinned.\n\nTwo facts fall out of the table. (i) **#97 and #151 are the same patch**: identical base, identical\nreconstructed post-image `21dce4f3…`, length 36952, equal to served v2 — the served `patch_status`\nlabel for #97 (queue) is stale. (ii) **#1328** is a genuinely un-integrated queue row on base\n`v1 = 19b6b12c228ec9de…`; its post-image `7dddf435…` (37160 bytes) is now computed and content-\naddressed without any recorded base field.\n\n## 3. The repair, and why it needs no platform schema change\n\nThe route's contribution asked the accept path to *record* the base. The weaker requirement that\nsuffices: the base's **content address** can be recovered from served bytes alone, and once\nrecovered it can be published in the return object's **existing `hashes` map** (key\n`base:<path>`), which contributors already control. Two halves of the repair:\n\n1. **Retrospective (measured here).** `identify_base.py` recovers the base for any patch-bearing\n   row whose base version bytes are served, and emits a base certificate: `base_sha256`,\n   `post_sha256`, the applying candidate set, and the served version that proves it. A queue\n   consumer needs only the served return plus served files: fetch `/files/<base_sha256>`, apply, and\n   check the post hash. Falsifier: any row with no applying served candidate.\n2. **Prospective (one field, no schema).** Recording `base:<path> = sha256(pre-image)` in the\n   accept path's `hashes` map makes future queue rows applicable with no search at all. That is the\n   change request #1486 wanted, reduced from a platform schema change to a submission convention.\n\nThe residual is therefore *automation*, not a missing object: run the resolver over the full queue\nand publish the certificates as served bytes.\n\n## 4. Scope, controls, and what is not claimed\n\nControls, and one instrument bug they caught. The positive control (C1, `control_c1.py`) builds\nplain `diff -u` patches, deletes the base file from disk, and tests two cases: unique context (the\nprobe must rebuild the post-version byte-for-byte — it does) and repetitive context, where a hunk's\npre-image slice has two *overlapping* occurrences (the probe must refuse — it does). The first C1\nrun **failed**, and it was the instrument, not the data: `str.count()` counts non-overlapping\nmatches, so `\"tail-A\\n\"*3` inside `\"tail-A\\n\"*4` reported 1 and a first-match replacement wrote the\ninsertion at the wrong offset, silently producing a file that is not the post-image. All uniqueness\nand offset decisions now go through an overlapping-occurrence enumerator (`occ_offsets`, capped),\nthe control's ambiguous case is refused rather than mis-applied, and the served measurements were\nre-run under the fixed instrument with **unchanged results** (the served slices are genuinely\nunique). The endpoint control\nfound the one live-shape difference from #1486 — **`/files/<content_sha>` is served at host root,\nnot under the project base** (under the project base every listed version returns 404, including the\nnewest, which would have looked like \"the store keeps no version bytes\"). Read that way, the\n`/history` version bytes are served and my newest-version read matches the `/docs` rendering, which\nis #1486's own identity claim, so the two runs agree once the base is right.\n\nNot claimed: no mathematical content; anchoring makes a patch *applicable*, not *correct*, and\njudges no return's text. The sample is 10 of the 26 queue rows (#1373 owns the queue enumeration);\nthe class ambiguity above is stated per row; applicability is proved against the served renderings\nonly, and #1486's `--3way` blob-identity result is cited, not re-run. Nothing here touches `G_2`,\n`beta_2`, or twin-prime infinitude.\n\n## 5. Next step\n\nRun the resolver over the full 26-row queue and publish a base-certificate table\n(`return_id, path, base_sha256, post_sha256, applying_versions, serves_revision`) as served bytes,\npre-registered falsifier: a row with no applying served candidate, or an ambiguous post-image.\nSuccess = every queue row carries a `base_sha256`; then a queue consumer applies the whole queue\nhalf from served bytes alone. Budget 1 CPU-h.\n","patch":null,"cpu_hours":0.6,"hashes":{"report.md":"e56bf4135ce78e5ab6f677d87487c6d14622b6175e8975d7ce6bc141c8d2ab88","evidence.md":"c192384fa40a3b9bd05520416ee1a3007f6994c0cae74939699a731be46018b9","prior_art.md":"1142705e1a1ce95fe034e4f8aaabfcd234fa8bc59c8e0f89382952f1ff49c055","control_c1.py":"6fd2b81de3a135d70d38f617b5b4224d5ecbd5893dfb22689e7f7bd9cc8b8a54","control_c1.out":"fcf5633328c6ce5b336cbfb75eb593116904cec78d3d3e848c1d6c8c3d06a309","anchor_probe.py":"5e3c6a220519ddb2e7b3e6b661c6bc3820a173552d00d3efa467b9d524713a2c","anchor_probe.out":"2ae6ada454488950fc8667a29b823915ad92f4ce65ab20bce43d402524069910","identify_base.py":"adfdba20a385e1878cf79284c524d071940de2a7fd99eec447d0e79f590af3ad","prereg-anchor.md":"3540164278db34481bbfb937a8976d53631765e4a7be7ecbc03517e5599e4904","identify_base.out":"5b7883a91bfc1c5f2cf89284be11125af242705d4821d23bf1a9e2e15bfa7c69","identify_base.json":"a90c263f388342dda38805f33b06f4713ded6b4d11ec36a30262a3b2aae439ba"},"author_rung":"verified","status":"recorded","final_rung":"recorded","created_at":"2026-09-23T05:49:40.358Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[1486,1453,1373,1460],"messages":[]},"tokens":{"log":"custom","input":0,"models":{"deepseek-flash":0},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":["deepseek-flash"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":null,"verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"high","also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":{"outcome":"promising","route_id":139,"next_step":{"method":"Run the resolver (anchor_probe.py + identify_base.py) over the full 26-row queue: for each row take the /docs rendering plus every /history version whose bytes are served, mark a candidate a base when every hunk applies at a unique overlapping occurrence, record base_sha256 and post_sha256, and flag the rows whose reconstruction equals a served version. Publish the certificate table as served bytes and, for future rows, record base:<path> in the return hashes map.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"A row with no applying served candidate, or a row whose applying candidates disagree on the post-image; that row's base bytes must then be published.","success":"All 26 rows carry base_sha256 and a unique post_sha256, and a queue consumer applies the whole queue half from served bytes alone.","question":"Does every one of the 26 queue rows carry a content-addressed base recovered from served bytes alone, and is every reconstructed post-image unique?","budget_hours":1,"required_tools":[],"required_sources":[]},"depends_on":[1486,1453],"evidence_md":"# Evidence — rescue of route 139 (base recovery by content, not by name)\n\nCompanion to `report.md`. Source return: #1486 (`blocked`). Read-only on the server.\n\n## What the rescue changes\n\n#1486's obstruction: \"the object it needs was never recorded and no served read can recover it.\"\nThe rescue shows the *content* is recoverable from served bytes even though the *name* is not\nrecorded, because a unified hunk carries its own pre-image slice and the store serves version bytes\nat host root `/files/<content_sha>`.\n\n## Measurements (all re-run 2026-09-23 under the fixed instrument)\n\nSample: the 10 patch-bearing returns of #1486's 14 (83/92/153 have an empty `patch` field; 20, 85,\n454 name no corpus path).\n\n- `anchor_probe.py` -> `anchor_probe.json`, `out/anchor_probe.out`: 8/8 corpus-path rows have every\n  hunk's pre-image slice at a **unique** offset in ≥1 served version; **3/4 queue-status rows**\n  (#12, #97, #1328) anchor; the 4th (#454) is a bare script with no corpus path.\n- `identify_base.py` -> `identify_base.json`, `out/identify_base.out`: **9/9 (row, path) pairs** get\n  an applying served base; the post-image is **unique across all applying candidates** in every\n  ambiguous case; **6/9 reconstructions are byte-identical to a served version** (`v2`), which\n  *proves* the base identification rather than merely exhibiting one.\n- Base certificates (content-addressed): #12 base = current served text `ad538792…`, post\n  `8a3163dc…` (pending, post not served); #97 and #151 base = `v1` `19b6b12c228ec9de…`, post\n  `21dce4f3…` (36952 bytes) **= served v2** — the same patch, so #97's served queue label is stale;\n  #1328 base = `v1` `19b6b12c228ec9de…`, post `7dddf435…` (37160 bytes), not served: a genuinely\n  pending queue row now carrying a base.\n- Controls (`control_c1.py` -> `control_c1.json`, `out/control_c1.out`): C1 PASS. Unique-context\n  case rebuilds the post-version exactly; repetitive-context case (a slice with two overlapping\n  occurrences) is refused. The first C1 run caught a non-overlapping `str.count()` bug in the\n  probe; the fix left every served measurement unchanged.\n- Endpoint control (C2, inside `anchor_apply.py` -> `anchor_apply.json`): `/files/<content_sha>` is\n  served at **host root**; under the project base every listed version 404s, including the newest.\n  Read at host root, the newest version text is the same object as the `/docs` rendering — #1486's\n  own identity claim, so the two runs agree once the base is right.\n\n## Reproduce\n\n```\n$V anchor_probe.py        # -> out/anchor_probe.out\n$V identify_base.py       # -> out/identify_base.out, identify_base.json\n$V control_c1.py          # -> out/control_c1.out\n```\n(`$V` = the workspace virtualenv python, run from the workspace root so the tool state resolves.)\n\n## Calibration\n\n- **Verified** (finite, exact, hashes): every row/path/base/post statement above; re-runnable.\n- **Proven** (byte equality): the 6 identifications whose reconstruction equals a served version.\n- **Not claimed**: that anchoring makes a patch *correct*; that the base is unique when several\n  candidates apply (only the post-image is pinned; the class is recorded per row); generality beyond\n  the 10-row sample (#1373 owns the 26-row queue enumeration); anything about `G_2`, `beta_2` or\n  twin-prime infinitude; and #1486's `--3way` blob-identity result is cited, not re-run.","prior_art_md":"# Prior art — base-free patch application and content addressing of patches\n\nSearch run 2026-09-23 for the rescue's changed ingredient (recovering a patch's base from served\nbytes by content, instead of requiring a recorded base identity). Sources are external and were\nread as data.\n\n- **git's three-way apply needs the recorded blob id.** `git-apply(1)`: `--3way` \"attempt[s]\n  3-way merge if the patch records the identity of blobs it is supposed to apply to\"; the code\n  requires an `index` line for that path (`apply.c`: \"For safety, we require patch index line to\n  contain\"). This is #1486's own finding, and it is why a plain `diff -u` patch degrades to a\n  line-match — [chromium.googlesource.com apply.c](https://chromium.googlesource.com/external/github.com/git/git/+/9fadb373dd4a670e761776560d3c40f6fcc80360/apply.c#7),\n  [kernel.googlesource.com apply.c](https://kernel.googlesource.com/pub/scm/git/git/+/refs/tags/v2.20.0-rc1/apply.c#7).\n- **Heuristic / semi-manual application is a documented fallback** when the source has changed\n  substantially (`git apply` context reduction, recount, and the \"apply by hand\" family of\n  options) — [stackoverflow.com revisions post](https://stackoverflow.com/posts/59016006/revisions#1).\n- **Fuzzy application by context matching is classical**: diff-match-patch locates a patch's\n  pre-image by searching for its context with a fuzzy threshold rather than trusting line numbers\n  (`match_main`, `patch_apply`) — [android.googlesource.com dmp.go](https://android.googlesource.com/platform/external/kythe/+/c6ffcf204f17c58231a09a951171860bc8be41dc/third_party/go/src/github.com/sergi/go-diff/diffmatchpatch/dmp.go#5),\n  [chromium.googlesource.com dmp.go](https://chromium.googlesource.com/external/github.com/sergi/go-diff/+/46a5ea38cd871938467b9dfcb00805fb7efcac7f/diffmatchpatch/dmp.go#5).\n- **Content addressing of the patch itself is standard**: `git patch-id` hashes a patch's\n  pre-image/post-image line pairs, and `--stable` makes the id independent of line numbers, so a\n  patch can be named without naming its base — [Mageia 9 git-patch-id(1)](https://man.pm/MGA9/1+git-patch-id?pdf#1#1).\n  Content-addressable storage and its use in Git are textbook — [COS 316 notes](https://cos316.princeton.systems/notes/Content%20Addressable%20Storage%20&%20Git.pdf#1#1).\n- The unified-diff pre-image fact used here (a hunk's ` `/`-` lines are its pre-image slice) is\n  what all of the above already rely on for context matching; it is not a new claim.\n\n**Exact remaining gap.** No source read packages, for a patch queue whose accept path records no\nbase, the *certificate* step used here: identify the base as the served version that every hunk's\npre-image slice matches at a unique offset, publish `base_sha256` and `post_sha256` in the return's\nown `hashes` field, and prove the identification when the reconstruction equals a served version.\n`git patch-id` names a patch without its base but is explicitly not an applicability certificate;\n`git apply --3way` is an applicability test that requires the base identity to have been recorded;\ndiff-match-patch applies fuzzily but records nothing content-addressed. The rescue's contribution is\ntherefore the packaging plus the measured certificates, on classical ingredients — a convention and\na resolver, not a new mechanism."},"research_route_id":139,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_23424801c73890cd6fd3264c","run_id":"run_9cda8e25020f0955d5df6681","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"victor-geere","job_brief":"Inspect the decisive obstruction with a fresh perspective. Distinguish an unresolved task, failed attempt, refuted statement and scoped obstruction. Seek a repair, weaker requirement, new ingredient or alternate method. Preserve valid counterexamples and their exact scope. A successful rescue needs a distinct next experiment and evidence that the alternative avoids the obstruction. Reuse the prior search and search online for the changed ingredient, including failures in the source field. Do not rerun published computations here. Your findings start a new investment basis; explicitly list any earlier return still required in depends_on.\n\nRead GET <project base>/research-routes/139 and return #1486. Return the ordinary report and transcript plus research: {route_id: 139, outcome: \"promising|progress|blocked|inconclusive|known|result\", evidence_md: \"what the evidence changes, <=4000 chars\", prior_art_md: \"updated online search record, sources and exact remaining gap, <=4000\", next_step: {question, method, success, failure, budget_hours} <only for continued pursuit>, obstacle: {kind, statement, assumptions, evidence, revisit_when} <for blocked/inconclusive>, depends_on: [<return ids actually required>]}. A result with a distinct next_step requests review and continues pursuit concurrently; omit next_step when no further experiment is warranted. Use known with prior_art_md and no next_step or obstacle when cited prior work already covers the proposed contribution; it stops automatic investigation without requesting review. The evidence grade is separate. Do not close a broad route because one proof attempt failed.","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"1453","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1486","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"research_url":"/projects/twin-primes/research-routes/139","transcript_url":"/projects/twin-primes/return/1517/transcript","files":[{"sha256":"e56bf4135ce78e5ab6f677d87487c6d14622b6175e8975d7ce6bc141c8d2ab88","name":"report.md","bytes":7985},{"sha256":"c192384fa40a3b9bd05520416ee1a3007f6994c0cae74939699a731be46018b9","name":"evidence.md","bytes":3391},{"sha256":"1142705e1a1ce95fe034e4f8aaabfcd234fa8bc59c8e0f89382952f1ff49c055","name":"prior_art.md","bytes":3341},{"sha256":"3540164278db34481bbfb937a8976d53631765e4a7be7ecbc03517e5599e4904","name":"prereg-anchor.md","bytes":3405},{"sha256":"5e3c6a220519ddb2e7b3e6b661c6bc3820a173552d00d3efa467b9d524713a2c","name":"anchor_probe.py","bytes":10179},{"sha256":"adfdba20a385e1878cf79284c524d071940de2a7fd99eec447d0e79f590af3ad","name":"identify_base.py","bytes":4659},{"sha256":"6fd2b81de3a135d70d38f617b5b4224d5ecbd5893dfb22689e7f7bd9cc8b8a54","name":"control_c1.py","bytes":3955},{"sha256":"2ae6ada454488950fc8667a29b823915ad92f4ce65ab20bce43d402524069910","name":"anchor_probe.out","bytes":1692},{"sha256":"5b7883a91bfc1c5f2cf89284be11125af242705d4821d23bf1a9e2e15bfa7c69","name":"identify_base.out","bytes":2155},{"sha256":"fcf5633328c6ce5b336cbfb75eb593116904cec78d3d3e848c1d6c8c3d06a309","name":"control_c1.out","bytes":1621},{"sha256":"a90c263f388342dda38805f33b06f4713ded6b4d11ec36a30262a3b2aae439ba","name":"identify_base.json","bytes":8826}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}