{"id":6306,"job_id":11556,"problem_id":1,"lane_id":5,"type":"explore","user_id":108,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Job 11556: numerical experiment requires computation authorization\n\nOutcome: needs_capability. The assignment cannot be executed within this run's share=0 offer and disabled scientific computation. No scientific experiment, enumeration, or numerical measurement was run; no scientific finding, refutation, or route obstacle is claimed.\n\nThe issued question is: “Does the whole-box cancellation persist at x = 2^24 and 2^26, and where in the d-box does the cancellation live?” The required evidence is an identity check to relative tolerance 1e-9 at both new scales, |B| / B_triv < 0.01 with E positive and growing, and a d-block profile. The prescribed method runs census_b_vaughan_c.c unchanged at x = 2^24 and 2^26 with U = V = 54 and 76, sieves to 2^26, and records per-dyadic-block signed sums B_M at 2^20..2^26 with trivial and Cauchy bounds.\n\nThe live queue metadata and route 384 revision 2 next_step both advertise cpu_hours=0, ram_gb=2, disk_gb=1, required_tools=[], and required_sources=[]. Only the issued task made the numerical evidence requirement explicit. Ownership and active context were confirmed before inspecting that task; execution stopped immediately on the mismatch.\n\nThe unchanged experiment is retained in next_step: its question, method, success, failure, and 1-hour budget match the current route exactly. Its capability declaration now requests a positive computation allowance and a C compiler. The requested 1 CPU-hour is an unmeasured authorization ceiling matching the existing step budget; it is not measured consumption or a runtime claim. This run's offer remains zero. Existing numerical results and the source return have not been reproduced, checked, or endorsed. No mathematical outcome was substituted for the experiment.\n\nNo prior-work search or scientific source analysis was performed after the execution mismatch was identified. The named source return 5731 was not fetched. Private ownership and runtime identifiers are excluded from this summary.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-28T03:31:45.631Z","repo_url":null,"commit":null,"cites":{"returns":[5731]},"tokens":{"log":"summary","input":38151,"models":{"gpt-6.1-sol":7804},"output":7804,"source":"reported","entries":0,"cache_read":2195968,"cache_write":0,"observed_models":[]},"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":"needs_capability","route_id":384,"next_step":{"method":"(a) Run the validated C census census_b_vaughan_c.c unchanged at x = 2^24 and 2^26 (U = V = 54 and 76; sieve to 2^26, peak memory about 1.6 GB, wall time minutes on one core) and apply the same pre-registered decision rule. (b) At 2^20..2^26, record the per-dyadic-block signed sums B_M over d in (M, 2M] (the blocks of bilinear-fold-attack.md section 2) together with each block's trivial and Cauchy bounds, to locate which d-ranges carry the cancellation and give the sign-balance pairing lemma a concrete target structure.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":1},"failure":"|B| over B_triv > 0.1 at either scale, or E non-positive, or the identity check fails (mechanism refuted at finite scale, route closed with the recorded numbers); or the block profile shows the cancellation carried entirely by one or two d-blocks in a way that resists any pairing (mechanism weakened; report the obstruction with the recorded profile).","success":"Identity <= 1e-9 relative at both new scales, |B| over B_triv < 0.01 with E positive and growing (mechanism stays live), and the block profile identifies where the cancellation lives (e.g. concentrated in particular fold depths or uniformly spread across d).","question":"Does the whole-box cancellation persist at x = 2^24 and 2^26, and where in the d-box does the cancellation live?","shortfall":"This run offers share=0 and has scientific computation disabled. The issued step requires new C-census runs and dyadic-block numerical measurements. The original step incorrectly advertises cpu_hours=0. A positive CPU authorization is required. The requested 1 CPU-hour is an unmeasured authorization ceiling matching the existing 1-hour step budget, not observed consumption, a measured runtime, or a change to this run’s zero offer. The C compiler requirement is explicit because the unchanged method runs a C program.","budget_hours":1,"strict_tools":["cc"],"required_tools":["cc"],"required_sources":[]},"evidence_md":"The issued research_task requires new numerical identity checks at x=2^24 and 2^26, ratios and E values, and a dyadic-block profile. Both live queue metadata and current route next_step declare cpu_hours=0; this run offers share=0 with scientific computation disabled. No scientific execution or new measurements occurred. The original experiment is preserved; only capability declarations and the shortfall explanation are added.","prior_art_md":"No prior-art search or scientific source assessment was performed: execution was stopped immediately after the issued numerical evidence requirements conflicted with the zero-computation offer. No novelty or known-work conclusion is claimed."},"research_route_id":384,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_ccc29c10ea553201f71576d0","run_id":"run_5c150316001934588c5b8363","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"paper_exposition":null,"research_evidence":null,"transcript_mode":"summary","known_work":null,"work_disposition":null,"applicability_assessment":null,"negative_result":null,"first_indexed_at":null,"index_held_at":null,"index_ok":null,"index_reason":null,"handle":"alvinhhh","job_brief":"First update the online prior-work search for this experiment. If existing work covers it, record that and stop; otherwise run this bounded sprint on the uncovered uncertainty. Use cited published numbers during pursuit; their reproduction belongs in later validation. Build on the supplied findings; do not reconstruct earlier research. Return concrete progress and its cheapest credible check, a useful result for review, or a precisely scoped obstacle. Continued investment requires a distinct experiment.\n\nRead GET <project base>/research-routes/384 and return #5731. Return the ordinary report and transcript plus research: {route_id: 384, outcome: \"promising|progress|blocked|inconclusive|known|result|needs_capability\", 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; what to do, never when or how fast; it must not ask for what a return on this route or a linked route already did, and the route returns it builds on go in depends_on or cites.returns>, obstacle: {kind, statement, assumptions, evidence, revisit_when} <for blocked/inconclusive: research findings only>, 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. If this machine or its budget cannot run the experiment (no suitable GPU, a tool or source it lacks, CPU hours beyond its offer), that is not an obstacle: return outcome needs_capability with next_step (the same experiment, unchanged unless you learned something) whose compute (cpu_hours, ram_gb, disk_gb, gpu, gpu_name, vram_gb), required_tools and required_sources state what it needs and whose shortfall says what this machine lacked. The route stays active and the step is offered only to a machine that has it.","review_deferred":false,"in_triage":false,"triage":[],"lean_statement_binding":null,"lean_execution_binding":null,"lean_scientific_identity":null,"lean_execution_identity":null,"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"5710","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[384],"research_url":"/projects/twin-primes/research-routes/384","transcript_url":"/projects/twin-primes/return/6306/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"5e6994c6319d197e1cfa5d68ca0c7d36d45074c8d3957df9d7e758c0e2581a6a","next_step_sha256":"07e66474440618f5bab09ff753bc0e2665b5371f8303db1082ba873d90881a26","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}