{"id":1702,"job_id":3383,"problem_id":1,"lane_id":null,"type":"audit","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# `paper/proposals/prop-xlnx-lower-bound.md`: the pipeline's cost, the identity of the N5 cover, and the six #559 items (#558, #559)\n\nAudit of the served file (`c14e6b16…`, 53022 B, 372 lines -- the `content_sha` of both findings, and return #1181's own `xlnx-lower-bound.md`). **Eleven anchored edits** (`work/edit_bd.py`), every anchor asserted unique; `diff -u` gives 7 hunks, 11 added and 6 removed lines (net +5). No section, number, table or attribution outside the findings was touched, and the ledger block does not exist in this file.\n\n**#558, measured rather than substituted.** The reviewer's two figures reproduce from return #1536's certificate, which runs the same construction rules: pure ascending greedy above $z = 13$ at $y = 200000$ gives $x' = 10301$, ratio $2.1012553$; the registered three-stage pipeline gives $x' = 10861$, ratio $1.98156$. The cost is $(2.1012553 - 1.98156)/2.1012553 = 5.70\\%$ of the greedy ratio, so section 5 now reads *\"costs about six percent of the ratio (2.1013 → 1.9816) rather than buying it\"*.\n\n**#559(a).** The Abstract now says the cover *\"is the registered three-stage greedy pipeline, not the theorem's own two-stage construction, whose choices give $x' = 61871$ at $y = 2\\cdot10^5$ and 461183 at $y = 2\\cdot10^6$\"*. **#559(b).** [HR] Theorem 2.2 is now marked as *\"reached at OCR, with Theorem 3 of their 1971 memoir read at the page beside it\"*. **#559(c).** Section 6's comparison ends *\"which is $\\ln^2x$ up to ll factors\"* instead of *\"$\\approx \\ln^2x$\"*. **#559(d).** The record's 2026-09-11 and 2026-09-19 entries are in date order.\n\n**#559(e), both claims measured.** (i) `patch1430.py` run against Draft 1 (return #32, `f15e3d55…`, 46349 B) produces 53021 B, and the served file is 53022 B: the two agree after one trailing newline is stripped, exactly the reviewer's one-newline difference. (ii) The same run prints `'Theorem 5, (3.17)': 2` and 0 for the other four strings, i.e. (0, 2, 0, 0, 0): both occurrences are quoted Draft-1 wording (the Ingredient B sentence and the [RS] entry), so 2 is expected and not a leftover. Both facts are now stated in the section 9 entry for this revision, where the recipe's reader meets them.\n\n**#559(f), merged from return #1536.** Section 5 gains the theorem's own construction at $y = 2\\cdot10^6$ -- $z = \\lfloor\\sqrt{y}/\\ln y\\rfloor = 97$, $\\pi(z) = 25$, $|V| = 38523$ survivors, 38523 injected primes, $x' = 461183 = p_{\\pi(z)+|V|}$, ratio $0.3325274$, zero uncovered -- with the injective rule's counting identity attributed as return #1007 has it, and the figures re-read in `cert1902.run1.txt` before they were written (row quoted in the Evidence file). Section 7's Tao bullet is replaced by #1536's re-pointed one, which quotes the three passages the post does contain, records the 0 occurrences of the phrases an earlier draft attributed to it, and narrows what the located passages support. Appendix A gains the certificate's provenance row and the three `cert1902.*` hashes, attributed to return #1536 rather than to this note.\n\n**One defect found beyond the two findings, measured while replaying the recipe.** Appendix A records `research/qc/embed.js` as `eedf53eb…`; the served file at that path now hashes to `c7b5c213931371265065b159c3e2cc25d170578cc2199c6725735b26cb84679a`. The producer's own stdout is unchanged (`cdcdf4acbf71ca6c16b29f7b363ef970cb1b552add563a3bb31df310e4442c72`, 62 lines, the `cdcdf4ac…` the recipe quotes), `embed.js --check` still reports both hashes matching, and the other two inputs still match, so the recipe works -- but its recorded input hash is stale. Recorded in Appendix A and in the section 9 entry rather than left for a reviewer to hit.\n\n**Guard counts, measured on both texts.** served `fences=2, code-sha256=1, out-sha256=1`; revision `fences=2, code-sha256=3, out-sha256=5`. The file has one fenced block (the section 5 recipe's shell listing) and no hash-bound OUTPUT block: both markers are prose, and every mention the revision adds is prose in Appendix A and section 9. There is therefore no bound stdout in *this* file to reproduce byte for byte; the producer the recipe runs was replayed anyway and its stdout is unchanged, sha256 `cdcdf4acbf71ca6c16b29f7b363ef970cb1b552add563a3bb31df310e4442c72` -- see Evidence.\n\n**Evidence.** Served `paper/proposals/prop-xlnx-lower-bound.md` fetched 2026-09-25 and its sha re-checked against the server immediately before the upload; finding #558 and #559 with `content_sha` = the served sha; return #1181 (`accepted`, revision path = this file, so the text edited is the file the findings were found in); return #1536 (`accepted`) and its `cert1902.*`; return #32 (Draft 1) for the patch1430 measurement; return #1007 for the counting identity. The replay and the patch run were done in `work/rec` and `work/patchrun`; the uploads are the revision and `evidence-3383.md`.\n\n**Unresolved obligation.** Nothing in this fix depends on a claim the revision does not carry: the merge quotes #1536's certificate as its own read, the Tao bullet is #1536's wording with its source of record, and the stale `embed.js` hash is stated as measured on 2026-09-25 with the value to use. 50 of @Benjaminsen's returns wait for a verdict (this job's brief).\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"pending","final_rung":null,"created_at":"2026-09-25T13:19:55.774Z","repo_url":null,"commit":null,"cites":{"returns":[1181,1536,32,1007]},"tokens":{"log":"custom","input":0,"models":{"deepseek-v4-flash":0},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":["deepseek-v4-flash"]},"paper_slug":"xlnx-lower-bound","revision_path":"paper/proposals/prop-xlnx-lower-bound.md","revision_sha":"8543a66406f7570375edd0fe9c94e4969242a07cdbc7c9f2c0d1b0dc2b548348","recipe_md":"1. GET /projects/twin-primes/docs/paper/proposals/prop-xlnx-lower-bound.md -> sha256 c14e6b16... (53022 B).\n2. Findings: GET /projects/twin-primes/findings?path=paper/proposals/prop-xlnx-lower-bound.md -> #558, #559.\n3. Citations: GET /projects/twin-primes/return/1181 (Draft 2 = the served text), /return/1536 (the 2e6\n   certificate and the re-pointed Tao passage), /return/32 (Draft 1, for the patch measurement).\n4. `python3 work/edit_bd.py`: eleven anchored replacements, each anchor asserted to occur once; asserts\n   no doubled table row, no row with a differing cell count, and that the five old wordings are gone.\n5. Measurements the report quotes: work/build_payload.py re-derives the patch one-newline difference and\n   the (0, 2, 0, 0, 0) leftover vector, reads the 2e6 row of cert1902.run1.txt, and replays the section 5\n   recipe (node research/import-hypergraph-01-instance.js -> stdout sha256 cdcdf4ac...).\n6. POST /files (revision, evidence-3383.md) then POST /projects/twin-primes/result with base = served sha.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":null,"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":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":"2026-09-25T13:19:55.774Z","department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_f470e662f0c36912b565c97a","triage_lead":null,"revision_base_sha":"c14e6b16d398a4624022b88cc923b88fdbeca14d90e14315ad82e6a0c6ec46d7","integration":null,"resolves":[558,559],"handle":"Benjaminsen","job_brief":"A reviewer found a defect in the served file `paper/proposals/prop-xlnx-lower-bound.md` while reviewing return #1181 (review #346 by @Benjaminsen), recorded as finding #558. Fix it; do not redo the work it belongs to.\n\nWhat the reviewer said:\n> Draft 2 (#1181, c14e6b16…) §5, paragraph after the four-row table: 'The random middle stage of the registered pipeline costs about one percent of the ratio rather than buying it' is wrong. The pipeline gives 1.98156 (x′ = 10861) and pure greedy above z = 13 gives 2.1013 (x′ = 10301), so it costs about 6% (5.7%). Replace with 'costs about six percent of the ratio (2.1013 → 1.9816)'.\n\nFetch the current file (GET <project base>/docs/paper/proposals/prop-xlnx-lower-bound.md), make the change, check it still runs and that its stdout reproduces byte for byte elsewhere (progress, timing and rates go to stderr; paths relative to the repository), upload the revised file (POST /files) and return as this job with `\"revision\": { \"path\": \"paper/proposals/prop-xlnx-lower-bound.md\", \"file\": \"<sha256 of the revised file>\" }`, the sha in `files`, a one-line report of what changed and why, and `\"cites\": { \"returns\": [1181] }`. If the file's embedded hashes depend on the change, re-embed them and say so. Send `\"revision\": { …, \"base\": \"<X-Content-SHA256 of the text you edited>\" }` so a later change to the file is caught rather than overwritten, and list the findings your revision answers in `\"resolves\": [<finding ids>]` (GET <project base>/findings?path=paper/proposals/prop-xlnx-lower-bound.md lists the open ones). Accepted, the revision becomes the served version and closes the findings it answered; a finding it leaves open goes to the next fix job.\n\nAlso finding #559 (review #346 of return #1181, @Benjaminsen):\n> (a) Abstract: the N5 cover is a three-stage greedy construction, not the theorem's own; say so (the theorem's choices give x′ = 61871 at y = 2·10⁵). (b) Abstract: cite [HR71] Theorem 3 (read at the page) beside [HR] Theorem 2.2 (OCR only). (c) §6: '≈ ln²x' → 'ln²x up to ll factors'. (d) §9: put the 2026-09-11 entry before 2026-09-19. (e) Recipe: patch1430.py output differs from the upload by one trailing newline, and the leftover count for 'Theorem 5, (3.17)' is 2 (quoted text), not zero. (f) Merge #1536's §5 certificate at y = 2·10⁶ and its re-pointed Tao passages.\n","review_deferred":false,"in_triage":true,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[],"research_url":null,"transcript_url":"/projects/twin-primes/return/1702/transcript","files":[{"sha256":"8543a66406f7570375edd0fe9c94e4969242a07cdbc7c9f2c0d1b0dc2b548348","name":"paper-proposals-prop-xlnx-lower-bound.md","bytes":57023},{"sha256":"987cce29792098c0b53e97a21221bffd22ead61a630482cbb6f58ebe6e456403","name":"evidence-3383.md","bytes":2516}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}