{"as_of":"2026-08-20T08:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3fbab8dc2202d9ee4684aa25afa23ccf72dadc40c3632df0acf5148f55b3f43d","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-20T06:33:59.587034+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T20:15:17.961156Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-20T19:48:57.529478Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2410.07432","last_updated":"2025-02-08T02:12:58Z","snapshot_observed_at":"2026-08-16T13:10:55.985876Z","submitted_at":"2024-10-09T21:01:52Z","title":"Can Transformers Reason Logically? A Study in SAT Solving","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.07432","snapshot_observed_at":"2026-08-15T20:15:17.961156Z","title":"Can transformers reason logically? a study in sat solving.arXiv preprint arXiv:2410.07432,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.13775","last_updated":"2026-05-25T19:08:50Z","snapshot_observed_at":"2026-08-16T15:55:27.615593Z","submitted_at":"2025-05-19T23:29:23Z","title":"Beyond Semantics: The Unreasonable Effectiveness of Reasonless Intermediate Tokens","version":4},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-15T20:15:17.961156Z"},"links":{"cited_paper":"/paper/2410.07432","citing_paper":"/paper/2505.13775"},"observation_digest":"sha256:a593b8654236e2a22dd15ad0746f577d837bb74245818126700999dbc3491793","observation_id":"9642fde4-d1e7-4ad4-8e1d-667bdd51b85c","resolution":{"observed_at":"2026-08-15T20:15:17.961156Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.07432","last_updated":"2025-02-08T02:12:58Z","snapshot_observed_at":"2026-08-16T13:10:55.985876Z","submitted_at":"2024-10-09T21:01:52Z","title":"Can Transformers Reason Logically? A Study in SAT Solving","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.07432","snapshot_observed_at":"2026-08-04T22:25:54.886714Z","title":"Can transformers reason logically? a study in sat solving.arXiv preprint arXiv:2410.07432, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.07339","last_updated":"2025-09-09T02:31:16Z","snapshot_observed_at":"2026-08-15T11:11:22.996816Z","submitted_at":"2025-09-09T02:31:16Z","title":"Performative Thinking? The Brittle Correlation Between CoT Length and Problem Complexity","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T22:25:54.886714Z"},"links":{"cited_paper":"/paper/2410.07432","citing_paper":"/paper/2509.07339"},"observation_digest":"sha256:f33a725f816ef72f5454891a2359e1b91e011ffbb4b8c8588411cadc63ad92a8","observation_id":"e3b1388f-abec-4dc1-a0e9-041a8a33707c","resolution":{"observed_at":"2026-08-04T22:25:54.886714Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.07432","last_updated":"2025-02-08T02:12:58Z","snapshot_observed_at":"2026-08-16T13:10:55.985876Z","submitted_at":"2024-10-09T21:01:52Z","title":"Can Transformers Reason Logically? A Study in SAT Solving","version":2},"cited_work":{"arxiv_id":"2410.07432","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.07432","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2410.07432 , year =","venue":null,"work_id":"9fa1c34d-5f96-4e78-88ea-d0695269e6b4","year":2024},"citing_paper":{"arxiv_id":"2511.02521","last_updated":"2026-06-25T18:44:49Z","snapshot_observed_at":"2026-08-14T23:36:27.864177Z","submitted_at":"2025-11-04T12:16:37Z","title":"Large Lemma Miners: Can LLMs do Induction Proofs for Hardware?","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-18T01:34:03.866227Z"},"links":{"cited_paper":"/paper/2410.07432","citing_paper":"/paper/2511.02521"},"observation_digest":"sha256:bb3d72f3da8dbe8f6a1fcf40d15c99e1451f49b4c307f85d1a51c75dd7459b42","observation_id":"347777dc-0c4a-4b5f-95f4-7adf63136b6e","resolution":{"observed_at":"2026-05-18T01:35:36.411709Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.07432","last_updated":"2025-02-08T02:12:58Z","snapshot_observed_at":"2026-08-16T13:10:55.985876Z","submitted_at":"2024-10-09T21:01:52Z","title":"Can Transformers Reason Logically? A Study in SAT Solving","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.07432","snapshot_observed_at":"2026-08-04T00:14:48.444790Z","title":"Can transformers reason logically? A study in SAT solving,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.02521","last_updated":"2026-06-25T18:44:49Z","snapshot_observed_at":"2026-08-14T23:36:27.864177Z","submitted_at":"2025-11-04T12:16:37Z","title":"Large Lemma Miners: Can LLMs do Induction Proofs for Hardware?","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T00:14:48.444790Z"},"links":{"cited_paper":"/paper/2410.07432","citing_paper":"/paper/2511.02521"},"observation_digest":"sha256:8df48159646b2928b281aca3c24625469a40e70f720ed775d5cd02aacf719f14","observation_id":"ff9bc30a-36d5-4f76-8d0a-986dd6ab0294","resolution":{"observed_at":"2026-08-04T00:14:48.444790Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.07432","last_updated":"2025-02-08T02:12:58Z","snapshot_observed_at":"2026-08-16T13:10:55.985876Z","submitted_at":"2024-10-09T21:01:52Z","title":"Can Transformers Reason Logically? A Study in SAT Solving","version":2},"cited_work":{"arxiv_id":"2410.07432","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.07432","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2410.07432 , year =","venue":null,"work_id":"9fa1c34d-5f96-4e78-88ea-d0695269e6b4","year":2024},"citing_paper":{"arxiv_id":"2605.16632","last_updated":"2026-05-15T21:03:42Z","snapshot_observed_at":"2026-08-16T07:20:16.139894Z","submitted_at":"2026-05-15T21:03:42Z","title":"Learning How to Cube","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-05-20T19:44:48.690098Z"},"links":{"cited_paper":"/paper/2410.07432","citing_paper":"/paper/2605.16632"},"observation_digest":"sha256:076655f9886872c4df410fb719f48fc2678876175b2bbe28a4f7619510366ff2","observation_id":"5498a3ae-a0cf-4eb4-b0e9-af652491191c","resolution":{"observed_at":"2026-05-20T19:48:57.531154Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2410.07432/citation-record","integrity":"/paper/2410.07432/integrity","json":"/paper/2410.07432/citation-record.json","paper":"/paper/2410.07432"},"outbound":[],"paper":{"arxiv_id":"2410.07432","last_updated":"2025-02-08T02:12:58Z","latest_version":2,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-16T13:10:55.985876Z","submitted_at":"2024-10-09T21:01:52Z","title":"Can Transformers Reason Logically? A Study in SAT Solving"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2410.07432."}