{"as_of":"2026-08-19T22:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c61c879a513e5b7a118842351eccd88ad0257d2bcdfa01bce3dbf5a724158284","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":75,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":75,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":75,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":75,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T06:05:42.358300Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":14,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2310.10631","last_updated":"2024-03-15T19:14:39Z","snapshot_observed_at":"2026-08-16T13:51:18.629241Z","submitted_at":"2023-10-16T17:54:07Z","title":"Llemma: An Open Language Model For Mathematics","version":3},"reference_index":123,"source":"arxiv_source","source_observed_at":"2026-05-19T08:17:46.055279Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2310.10631"},"observation_digest":"sha256:e6f0069b2d5956180203be7db2adc7dc2e26bead3e416b4770c53aa70dac43e5","observation_id":"505305b5-ae8e-4bf4-a3e9-e3646b1a573a","resolution":{"observed_at":"2026-05-19T08:17:46.525872Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2410.07985","last_updated":"2024-12-24T04:04:30Z","snapshot_observed_at":"2026-08-16T19:47:24.627230Z","submitted_at":"2024-10-10T14:39:33Z","title":"Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Models","version":3},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-05-15T09:09:14.884516Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2410.07985"},"observation_digest":"sha256:f0514c27cbdecde09b8c35b33fb76e99dff4e2f50dbe3aaa003e76222f1dcbad","observation_id":"718c13df-d833-4de6-92f7-37674a21ecbe","resolution":{"observed_at":"2026-05-15T09:09:15.036018Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2411.18104","last_updated":"2026-05-13T18:33:16Z","snapshot_observed_at":"2026-08-08T03:07:50.153026Z","submitted_at":"2024-11-27T07:32:56Z","title":"Training and Evaluating Language Models with Template-based Data Generation","version":6},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-23T17:02:06.199875Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2411.18104"},"observation_digest":"sha256:6773410257e6bb5fa98d36bf3a1f8540fd4fa02691aa6a0e248a1baf0d334736","observation_id":"442c2295-87ba-4c65-84d8-07043cbd818f","resolution":{"observed_at":"2026-05-23T17:03:12.466134Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-11T10:51:29.934999Z","title":"ProofNet: Autoformalizing and formally proving undergraduate-level mathematics.arXiv preprint arXiv:2302.12433, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.16075","last_updated":"2024-12-20T17:19:24Z","snapshot_observed_at":"2026-08-19T21:45:02.859666Z","submitted_at":"2024-12-20T17:19:24Z","title":"Formal Mathematical Reasoning: A New Frontier in AI","version":1},"reference_index":114,"source":"pdf_text","source_observed_at":"2026-08-11T10:51:29.934999Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2412.16075"},"observation_digest":"sha256:3258c1463bb457caf38f06368a83a78985dfced25951f53a035731499f7dfc73","observation_id":"45669c9f-a56b-405c-a613-6860612a9805","resolution":{"observed_at":"2026-08-11T10:51:29.934999Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-09T17:36:09.710677Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.00855","last_updated":"2025-02-02T17:00:22Z","snapshot_observed_at":"2026-08-13T11:40:38.215143Z","submitted_at":"2025-02-02T17:00:22Z","title":"Psychometric-Based Evaluation for Theorem Proving with Large Language Models","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-09T17:36:09.710677Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2502.00855"},"observation_digest":"sha256:fbde49e802acb0050c63fa7077b7b7ddad01411166ce226880c1be61b91bb9ad","observation_id":"47a8011d-b6bd-46a0-a65c-0c78c83290c4","resolution":{"observed_at":"2026-08-09T17:36:09.710677Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-09T05:12:15.623991Z","title":"Eprint: arXiv:2302.12433","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.03321","last_updated":"2025-02-19T06:52:46Z","snapshot_observed_at":"2026-08-15T18:29:58.168008Z","submitted_at":"2025-02-05T16:21:10Z","title":"Simplifying Formal Proof-Generating Models with ChatGPT and Basic Searching Techniques","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T05:12:15.623991Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2502.03321"},"observation_digest":"sha256:7129d668f5f5a762fda927af6b91e9daa0929ec1e73050365a876511a2a9b68f","observation_id":"b00c2208-8242-4de9-a384-1467e9832cb7","resolution":{"observed_at":"2026-08-09T05:12:15.623991Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-08T12:07:04.972386Z","title":"Zhangir Azerbayev, Bartosz Piotrowski, Hailey Schoelkopf, Edward W Ayers, Dragomir Radev, and Jeremy Avigad","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.07640","last_updated":"2025-04-19T13:53:05Z","snapshot_observed_at":"2026-08-19T20:10:21.442760Z","submitted_at":"2025-02-11T15:27:35Z","title":"Goedel-Prover: A Frontier Model for Open-Source Automated Theorem Proving","version":3},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-08T12:07:04.972386Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2502.07640"},"observation_digest":"sha256:dd84de4c010dac36c330f4a286077f13ce025a80606c60c48873ab208b820535","observation_id":"785d309f-94e7-47cb-9726-b6e577b96e02","resolution":{"observed_at":"2026-08-08T12:07:04.972386Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-08T11:01:03.289452Z","title":"W., Radev, D., and Avigad, J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2502.10454","last_updated":"2025-08-22T07:58:49Z","snapshot_observed_at":"2026-08-15T23:19:36.389489Z","submitted_at":"2025-02-12T02:01:10Z","title":"One Example Shown, Many Concepts Known! Counterexample-Driven Conceptual Reasoning in Mathematical LLMs","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-08T11:01:03.289452Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2502.10454"},"observation_digest":"sha256:40151711f0a37ce54dabd7715699c08e2c0256128c51d3a09c08335fdaa1acb1","observation_id":"00608376-ea73-4102-9d9a-9842a2692699","resolution":{"observed_at":"2026-08-08T11:01:03.289452Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2504.05605","last_updated":"2025-04-08T01:36:16Z","snapshot_observed_at":"2026-08-16T09:10:12.752541Z","submitted_at":"2025-04-08T01:36:16Z","title":"ShadowCoT: Cognitive Hijacking for Stealthy Reasoning Backdoors in LLMs","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-22T21:11:46.405944Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2504.05605"},"observation_digest":"sha256:f83c660da6e7dba93f67958ad6ba6330a0b38cd2a2d2f80e34705a1748332473","observation_id":"1015db07-a932-42d8-a25f-d84aeea88d86","resolution":{"observed_at":"2026-05-22T21:12:08.370994Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-16T06:05:42.358300Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2504.19188","last_updated":"2025-04-27T10:35:05Z","snapshot_observed_at":"2026-08-18T04:14:24.488538Z","submitted_at":"2025-04-27T10:35:05Z","title":"Hierarchical Attention Generates Better Proofs","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-16T06:05:42.358300Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2504.19188"},"observation_digest":"sha256:dc2a4991436f9453d5dd8c6b6d178e7938f7c18ef952682256fe19ff6240d8b6","observation_id":"aaf153b5-b0af-41a2-885a-f8f2f9993865","resolution":{"observed_at":"2026-08-16T06:05:42.358300Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-16T05:24:24.001350Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2504.20771","last_updated":"2025-05-19T03:55:13Z","snapshot_observed_at":"2026-08-19T02:03:01.058892Z","submitted_at":"2025-04-29T13:52:47Z","title":"Computational Reasoning of Large Language Models","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T05:24:24.001350Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2504.20771"},"observation_digest":"sha256:7707d3aba4051abf0ccb26b732bf3ba53398813eef96137fa3a6328aa889b347","observation_id":"8168e342-b4cb-4fde-85c5-0d208ab88d1c","resolution":{"observed_at":"2026-08-16T05:24:24.001350Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-16T00:04:38.304499Z","title":"Azerbayev, B","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.03171","last_updated":"2025-05-06T04:32:17Z","snapshot_observed_at":"2026-08-18T21:04:01.915215Z","submitted_at":"2025-05-06T04:32:17Z","title":"CombiBench: Benchmarking LLM Capability for Combinatorial Mathematics","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-16T00:04:38.304499Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2505.03171"},"observation_digest":"sha256:f8a6e3f34123154022d8aba67885f2226dd8938730589a96f37a0fb02e4db7c7","observation_id":"e36eddec-9d3c-4c99-a0a1-a35ae194a975","resolution":{"observed_at":"2026-08-16T00:04:38.304499Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-15T23:31:49.513185Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.04528","last_updated":"2025-05-07T16:02:14Z","snapshot_observed_at":"2026-08-16T10:48:53.131063Z","submitted_at":"2025-05-07T16:02:14Z","title":"Beyond Theorem Proving: Formulation, Framework and Benchmark for Formal Problem-Solving","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-15T23:31:49.513185Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2505.04528"},"observation_digest":"sha256:5ef0387e789aac0b9b5ea4eaad101b0dcb83803a093f3ea10dcec38f02d5c25e","observation_id":"8f53478e-5860-4b6b-a0cc-4fd0b800e124","resolution":{"observed_at":"2026-08-15T23:31:49.513185Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-15T21:05:24.923362Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.10962","last_updated":"2025-05-16T07:56:03Z","snapshot_observed_at":"2026-08-18T15:13:33.527444Z","submitted_at":"2025-05-16T07:56:03Z","title":"MPS-Prover: Advancing Stepwise Theorem Proving by Multi-Perspective Search and Data Curation","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-15T21:05:24.923362Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2505.10962"},"observation_digest":"sha256:f9141945edb61ba1bb9deb8789e3a9015f44ec8078967a65b5f28a935c4678c7","observation_id":"8ee0febc-78f8-44c0-b95f-8abf7098d923","resolution":{"observed_at":"2026-08-15T21:05:24.923362Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-15T20:50:26.181660Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.12031","last_updated":"2025-05-17T14:47:36Z","snapshot_observed_at":"2026-08-19T15:38:20.338234Z","submitted_at":"2025-05-17T14:47:36Z","title":"LLM-based Automated Theorem Proving Hinges on Scalable Synthetic Data Generation","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-15T20:50:26.181660Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2505.12031"},"observation_digest":"sha256:ed2cdb20a6f989a131d8d351a7b0e7882b0d1d8139ebc479887c52b61db15178","observation_id":"d78ca01f-2926-413d-aee1-6b3694773d49","resolution":{"observed_at":"2026-08-15T20:50:26.181660Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-15T20:18:02.398648Z","title":"arXiv preprint arXiv:2302.12433 (2023)","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.13406","last_updated":"2025-05-19T17:41:29Z","snapshot_observed_at":"2026-08-19T12:33:40.751685Z","submitted_at":"2025-05-19T17:41:29Z","title":"AutoMathKG: The automated mathematical knowledge graph based on LLM and vector database","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T20:18:02.398648Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2505.13406"},"observation_digest":"sha256:7f3c09fc413613a102e80d8d3e8a82ec70b09211c117cc3c251b4c0aabaf7e14","observation_id":"527bf5d5-be95-4e49-ba34-cf10f478f006","resolution":{"observed_at":"2026-08-15T20:18:02.398648Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-07T15:17:01.922174Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.15740","last_updated":"2025-05-21T16:45:43Z","snapshot_observed_at":"2026-08-15T02:28:24.130508Z","submitted_at":"2025-05-21T16:45:43Z","title":"HybridProver: Augmenting Theorem Proving with LLM-Driven Proof Synthesis and Refinement","version":1},"reference_index":2016,"source":"pdf_text","source_observed_at":"2026-08-07T15:17:01.922174Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2505.15740"},"observation_digest":"sha256:3944faae29849833ca468e976cda9c42f7e15b8cb0a77edc375d9627766166fd","observation_id":"4f783768-4771-4891-9dfa-c08a1bbcd382","resolution":{"observed_at":"2026-08-07T15:17:01.922174Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-07T14:34:05.837700Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.18492","last_updated":"2026-06-30T15:33:33Z","snapshot_observed_at":"2026-08-13T18:45:46.181688Z","submitted_at":"2025-05-24T03:52:25Z","title":"Formally Solving Answer-Construction Problems in Lean","version":6},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T14:34:05.837700Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2505.18492"},"observation_digest":"sha256:911b7c697c9d52fe4400760871d165893c83d280e83ce8e577c8eefece389aba","observation_id":"f61334ad-1f89-43a8-9dd2-8a3e5480f573","resolution":{"observed_at":"2026-08-07T14:34:05.837700Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-07T13:48:54.550078Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.20869","last_updated":"2025-05-27T08:21:07Z","snapshot_observed_at":"2026-08-17T14:20:10.521789Z","submitted_at":"2025-05-27T08:21:07Z","title":"Step-Wise Formal Verification for LLM-Based Mathematical Problem Solving","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T13:48:54.550078Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2505.20869"},"observation_digest":"sha256:434fefd1c9e035212683c017bc66ad565deca1070cc28f1a9f85debd3b04f2cd","observation_id":"c0947fc5-13f6-4487-8db6-ca1b2aa638b7","resolution":{"observed_at":"2026-08-07T13:48:54.550078Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-07T06:08:21.997740Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics.arXiv preprint arXiv:2302.12433, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.06034","last_updated":"2025-06-06T12:33:12Z","snapshot_observed_at":"2026-08-17T15:04:03.680821Z","submitted_at":"2025-06-06T12:33:12Z","title":"MATP-BENCH: Can MLLM Be a Good Automated Theorem Prover for Multimodal Problems?","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T06:08:21.997740Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2506.06034"},"observation_digest":"sha256:b5554a1b171467683471b2cbfd85ea8a839456274b758337195849fbd44b5415","observation_id":"167569e3-65a8-40a0-b5f9-7fca7b9d3718","resolution":{"observed_at":"2026-08-07T06:08:21.997740Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-07T05:50:36.632581Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics.arXiv preprint arXiv:2302.12433, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.07047","last_updated":"2025-06-08T09:04:14Z","snapshot_observed_at":"2026-08-14T00:18:26.324410Z","submitted_at":"2025-06-08T09:04:14Z","title":"Mathesis: Towards Formal Theorem Proving from Natural Languages","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T05:50:36.632581Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2506.07047"},"observation_digest":"sha256:b703f84dcd0ed63349a27e2acf82a89b3b5d1845e6ce90c9eea6c2e9f37926de","observation_id":"de8f74a5-a6cb-4e09-8046-353793a8efe0","resolution":{"observed_at":"2026-08-07T05:50:36.632581Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-07T04:09:13.253257Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.11487","last_updated":"2025-06-13T06:25:59Z","snapshot_observed_at":"2026-08-17T00:21:27.027558Z","submitted_at":"2025-06-13T06:25:59Z","title":"Reviving DSP for Advanced Theorem Proving in the Era of Reasoning Models","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T04:09:13.253257Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2506.11487"},"observation_digest":"sha256:7e7f1d5806db72d64d7ce41f29a13f378375bd5e0bca205b296cecd3abd6b153","observation_id":"ca364fd8-6023-491f-96ff-494d8f5e3c79","resolution":{"observed_at":"2026-08-07T04:09:13.253257Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-06T19:14:14.461330Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.06181","last_updated":"2025-07-08T17:03:39Z","snapshot_observed_at":"2026-08-07T16:09:15.554628Z","submitted_at":"2025-07-08T17:03:39Z","title":"CriticLean: Critic-Guided Reinforcement Learning for Mathematical Formalization","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T19:14:14.461330Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2507.06181"},"observation_digest":"sha256:95bbbddd849b39ff109bd7024e0a185581e00898e9eb10908284a3ee4e5d6dc0","observation_id":"7a125172-cd4c-4a71-8703-6ede6b8b917a","resolution":{"observed_at":"2026-08-06T19:14:14.461330Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-06T18:47:45.404849Z","title":"W., Radev, D., and Avigad, J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.07399","last_updated":"2025-08-22T13:20:21Z","snapshot_observed_at":"2026-08-12T18:20:12.930070Z","submitted_at":"2025-07-10T03:34:58Z","title":"Generalized Tree Edit Distance (GTED): A Faithful Evaluation Metric for Statement Autoformalization","version":2},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-06T18:47:45.404849Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2507.07399"},"observation_digest":"sha256:01ae701d62a1511b35b29c1a3e097836a663811846ea6838a3b91f82285111cf","observation_id":"f058d9bc-074c-46de-b35f-3bb7affe95c7","resolution":{"observed_at":"2026-08-06T18:47:45.404849Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-06T18:18:43.564912Z","title":"Azerbayev, B","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.08649","last_updated":"2025-07-11T14:53:14Z","snapshot_observed_at":"2026-08-16T20:58:22.109156Z","submitted_at":"2025-07-11T14:53:14Z","title":"Leanabell-Prover-V2: Verifier-integrated Reasoning for Formal Theorem Proving via Reinforcement Learning","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T18:18:43.564912Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2507.08649"},"observation_digest":"sha256:bec6fa8c40e7d7f30b756b3cc3ca70710aa5fb4b8397f6b7e5a4e8a6fbafd560","observation_id":"20a324a9-e495-41d1-af9d-95e4181b2047","resolution":{"observed_at":"2026-08-06T18:18:43.564912Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-06T17:53:42.240964Z","title":"Ayers, Dragomir Radev, and Jeremy Avigad","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.09662","last_updated":"2025-07-13T14:51:59Z","snapshot_observed_at":"2026-08-15T08:55:38.744613Z","submitted_at":"2025-07-13T14:51:59Z","title":"Towards Concise and Adaptive Thinking in Large Reasoning Models: A Survey","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-06T17:53:42.240964Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2507.09662"},"observation_digest":"sha256:f15ba432861f3b91bc59d2c65356aad3bbe5e25362a2aa8189d675d2be5e88ad","observation_id":"c77ad4c0-4c76-47b7-8cf7-155dceb2d64e","resolution":{"observed_at":"2026-08-06T17:53:42.240964Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-06T15:54:10.269306Z","title":"W., Radev, D., and Avigad, J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.14722","last_updated":"2025-07-19T18:50:07Z","snapshot_observed_at":"2026-08-14T08:43:39.375183Z","submitted_at":"2025-07-19T18:50:07Z","title":"LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T15:54:10.269306Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2507.14722"},"observation_digest":"sha256:60e42cc5962253dd5db05975ca51ef4436f68a2749153dad303dd7c09a646f10","observation_id":"9f6d5954-708c-4528-97a4-74582312b642","resolution":{"observed_at":"2026-08-06T15:54:10.269306Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T22:28:12.093656Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathemat- ics (2023).arXiv preprint arXiv:2302.12433,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.06926","last_updated":"2025-08-09T10:41:03Z","snapshot_observed_at":"2026-08-07T22:01:10.155708Z","submitted_at":"2025-08-09T10:41:03Z","title":"Integrating Rules and Semantics for LLM-Based C-to-Rust Translation","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-05T22:28:12.093656Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2508.06926"},"observation_digest":"sha256:f64fba27693d65bf1795d9ac3a98aff4d61d4036018527a90cb39ea39a49de86","observation_id":"4849e996-5b2f-4b78-a509-c8750efbd137","resolution":{"observed_at":"2026-08-05T22:28:12.093656Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-15T16:59:23.285622Z","title":"Ayers, Dragomir Radev, and Jeremy Avigad","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.18587","last_updated":"2025-08-26T01:39:50Z","snapshot_observed_at":"2026-08-19T15:01:27.818736Z","submitted_at":"2025-08-26T01:39:50Z","title":"A Case Study on the Effectiveness of LLMs in Verification with Proof Assistants","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T16:59:23.285622Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2508.18587"},"observation_digest":"sha256:1df6bb5e82d9010e05c1dc52f9b8802ad8e5174732684dcbb06a536bbee3ade3","observation_id":"2a7524ff-db9c-490c-be93-b9d1d6c7c7c2","resolution":{"observed_at":"2026-08-15T16:59:23.285622Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T16:11:23.114520Z","title":"Ayers, Dragomir Radev, and Jeremy Avigad","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.18914","last_updated":"2025-08-26T10:38:18Z","snapshot_observed_at":"2026-08-19T22:17:50.095528Z","submitted_at":"2025-08-26T10:38:18Z","title":"FormaRL: Enhancing Autoformalization with no Labeled Data","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-05T16:11:23.114520Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2508.18914"},"observation_digest":"sha256:b406ae40a8fa11d046d98b402eb4ef8f6bfd9365dcc87b220623e77716c50a58","observation_id":"ccbf8285-d16a-4d7d-86bc-2d72467a8620","resolution":{"observed_at":"2026-08-05T16:11:23.114520Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2510.01346","last_updated":"2025-10-10T20:12:14Z","snapshot_observed_at":"2026-08-17T15:33:47.953572Z","submitted_at":"2025-10-01T18:21:13Z","title":"Aristotle: IMO-level Automated Theorem Proving","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-15T08:51:37.827144Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2510.01346"},"observation_digest":"sha256:b35e333ef001dcde412e8f607c95b4afabb71f141c4c13f9df0d4f93ccd29b19","observation_id":"f09b4c52-500b-45f3-a96a-fdfeb8069d4b","resolution":{"observed_at":"2026-05-15T08:51:37.940465Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-04T11:31:37.255771Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2510.04520","last_updated":"2026-07-02T09:05:29Z","snapshot_observed_at":"2026-08-17T01:38:39.465410Z","submitted_at":"2025-10-06T06:25:11Z","title":"Aria: An Agent For Retrieval and Iterative Auto-Formalization via Dependency Graph","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-04T11:31:37.255771Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2510.04520"},"observation_digest":"sha256:a590d20f4bf793aea026f3a16412e6f2ed34575aa2a3b585cc68bec0cb64f9f8","observation_id":"28c565c2-494b-4e27-8029-b3bd55c2f78c","resolution":{"observed_at":"2026-08-04T11:31:37.255771Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2601.13209","last_updated":"2026-05-02T15:26:09Z","snapshot_observed_at":"2026-08-14T08:20:39.835875Z","submitted_at":"2026-01-19T16:38:18Z","title":"AI for Mathematics: Progress, Challenges, and Prospects","version":5},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-16T13:24:57.923863Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2601.13209"},"observation_digest":"sha256:d7d91f0b91d5dc7dd2260d96826f2ea21165e02f0bc4c07ccaea9be973eaf824","observation_id":"61b86cae-7164-4a44-a111-d2605e449b81","resolution":{"observed_at":"2026-05-16T13:27:55.674338Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2602.18843","last_updated":"2026-05-03T19:35:12Z","snapshot_observed_at":"2026-08-16T08:11:14.406303Z","submitted_at":"2026-02-21T14:14:35Z","title":"ABD: Default Exception Abduction in Finite First Order Worlds","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-15T20:19:46.938860Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2602.18843"},"observation_digest":"sha256:74606ba43989679f339bd3f079a841353905f25228ed2c8edf6c865634fbc3f0","observation_id":"cd73dbb4-c1d8-4fb2-aad1-80873fa55e70","resolution":{"observed_at":"2026-05-15T20:20:17.431648Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2604.02709","last_updated":"2026-04-15T09:12:39Z","snapshot_observed_at":"2026-08-11T06:13:28.183495Z","submitted_at":"2026-04-03T04:06:39Z","title":"Evaluating the Formal Reasoning Capabilities of Large Language Models through Chomsky Hierarchy","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-13T19:51:08.304741Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2604.02709"},"observation_digest":"sha256:7efa95cb5737e3ceee712f8968d825b89d468e2ec49207d0895bacc71b995ef9","observation_id":"4c7ddc1a-a23e-4421-9b95-adb1537969fb","resolution":{"observed_at":"2026-05-13T19:53:11.728406Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2604.06401","last_updated":"2026-04-07T19:33:54Z","snapshot_observed_at":"2026-08-16T11:54:42.619654Z","submitted_at":"2026-04-07T19:33:54Z","title":"ProofSketcher: Hybrid LLM + Lightweight Proof Checker for Reliable Math/Logic Reasoning","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-10T18:38:34.138545Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2604.06401"},"observation_digest":"sha256:06802a2b324f4c3647f25484a19121478657b6ed470dac4b88add98522a1d6cc","observation_id":"973d8b3d-808f-4268-a2b6-721b360e04f8","resolution":{"observed_at":"2026-05-11T00:15:51.756733Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2604.06802","last_updated":"2026-06-23T06:45:36Z","snapshot_observed_at":"2026-08-15T01:52:40.673836Z","submitted_at":"2026-04-08T08:16:37Z","title":"Riemann-Bench: A Benchmark for Moonshot Mathematics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T18:02:42.607682Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2604.06802"},"observation_digest":"sha256:ac6e0df1c067a9b43ff16c1d58e8539c822ec1ea9c0510fc06efa321745efbf7","observation_id":"35be59f7-adb3-4ab8-a1ae-37fe4df8f64c","resolution":{"observed_at":"2026-05-11T05:36:00.792022Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2604.23135","last_updated":"2026-05-17T15:51:14Z","snapshot_observed_at":"2026-08-19T01:08:12.950919Z","submitted_at":"2026-04-25T04:26:19Z","title":"Characterizing Paraphrase-Induced Failures in Lean 4 Autoformalization","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-08T08:33:34.423179Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2604.23135"},"observation_digest":"sha256:557e85dd8689baede1141746e68aa9dd940f152e9d971671e74fa766c629c3fd","observation_id":"9dbb5f39-5b4c-4b44-90b3-dcdd7d36df2d","resolution":{"observed_at":"2026-05-11T20:36:08.437200Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2604.23135","last_updated":"2026-05-17T15:51:14Z","snapshot_observed_at":"2026-08-19T01:08:12.950919Z","submitted_at":"2026-04-25T04:26:19Z","title":"Characterizing Paraphrase-Induced Failures in Lean 4 Autoformalization","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-21T00:49:58.959331Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2604.23135"},"observation_digest":"sha256:ebb339b79c44548a2ffacbf7c3b02c9929f97051c01a0d3e28c3cc5f3e01bd9a","observation_id":"77a77581-8149-4f46-8972-51512a88c449","resolution":{"observed_at":"2026-05-21T00:53:53.725775Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2604.23712","last_updated":"2026-04-28T04:48:08Z","snapshot_observed_at":"2026-08-12T12:42:16.562052Z","submitted_at":"2026-04-26T13:54:28Z","title":"OptProver: Bridging Olympiad and Optimization through Continual Training in Formal Theorem Proving","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-08T06:33:29.860024Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2604.23712"},"observation_digest":"sha256:c3a3ff684f5282e97acf087719861e6d1a8718ccd3e40c19ebafef0f7c375a09","observation_id":"3ca993fc-af3e-4fcd-8a0f-af71d593cd75","resolution":{"observed_at":"2026-05-11T21:11:16.429344Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2604.25155","last_updated":"2026-04-28T02:57:20Z","snapshot_observed_at":"2026-08-15T05:28:31.083449Z","submitted_at":"2026-04-28T02:57:20Z","title":"Rethinking Wireless Communications through Formal Mathematical AI Reasoning","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-05-07T15:42:24.167986Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2604.25155"},"observation_digest":"sha256:bccdb9fae778db334a393da6e4b8a7f027798498c49a8bbf13a68e1e1ac9e370","observation_id":"6e85d79b-3576-4431-b583-f9f916b829cb","resolution":{"observed_at":"2026-05-12T00:11:16.455803Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2605.09292","last_updated":"2026-05-10T03:38:37Z","snapshot_observed_at":"2026-08-13T08:07:55.302454Z","submitted_at":"2026-05-10T03:38:37Z","title":"Beyond Accuracy: Evaluating Strategy Diversity in LLM Mathematical Reasoning","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-12T04:30:29.268117Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2605.09292"},"observation_digest":"sha256:0100f77be0ccfb415ab431820a6f88d56d540b52a69f674299b2ac386af445b9","observation_id":"9bd60445-2cb0-414d-b8ca-c71eddf08ff5","resolution":{"observed_at":"2026-05-12T06:11:25.649803Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2605.10379","last_updated":"2026-06-25T12:27:46Z","snapshot_observed_at":"2026-08-12T22:02:49.512509Z","submitted_at":"2026-05-11T11:23:36Z","title":"Not All Proofs Are Equal: Evaluating LLM Proof Quality Beyond Correctness","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-12T04:46:50.177357Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2605.10379"},"observation_digest":"sha256:7e12af1edf84bdcb06a4a55bb9dcd0b97aee5d29ad093aceaf0caee608cbd4e0","observation_id":"38b739fd-93f7-486b-9378-0ff811f06ac3","resolution":{"observed_at":"2026-05-12T04:56:24.377164Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2605.10379","last_updated":"2026-06-25T12:27:46Z","snapshot_observed_at":"2026-08-12T22:02:49.512509Z","submitted_at":"2026-05-11T11:23:36Z","title":"Not All Proofs Are Equal: Evaluating LLM Proof Quality Beyond Correctness","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-30T22:38:26.111517Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2605.10379"},"observation_digest":"sha256:63592c660cea47d79e1633fb1a9e0768fd8744fd4b717dce9cdd4fd17d870ea0","observation_id":"39bb6508-c1db-4186-b3b3-0c605827b210","resolution":{"observed_at":"2026-06-30T22:45:06.668837Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2605.17255","last_updated":"2026-05-17T04:53:47Z","snapshot_observed_at":"2026-08-15T03:34:50.153850Z","submitted_at":"2026-05-17T04:53:47Z","title":"CAM-Bench: A Benchmark for Computational and Applied Mathematics in Lean","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-20T13:35:04.729506Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2605.17255"},"observation_digest":"sha256:3d852ba62d1762f3ec2d8d3096ada51ff058e21d362482609f2a96b8417aea8d","observation_id":"dca2c365-bd85-4e2c-8838-50aaaf106892","resolution":{"observed_at":"2026-05-20T13:38:19.359542Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2605.17283","last_updated":"2026-05-17T06:39:05Z","snapshot_observed_at":"2026-08-14T15:06:22.101894Z","submitted_at":"2026-05-17T06:39:05Z","title":"OProver: A Unified Framework for Agentic Formal Theorem Proving","version":1},"reference_index":163,"source":"arxiv_source","source_observed_at":"2026-05-20T14:43:46.517807Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2605.17283"},"observation_digest":"sha256:0ef0711b3912e7ac6a643d6f157da2d261b662104b66825019b1ff837aa36d23","observation_id":"62a810c7-6947-497f-8a77-d2629797eb88","resolution":{"observed_at":"2026-05-20T14:48:23.517794Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2605.29955","last_updated":"2026-05-28T14:00:22Z","snapshot_observed_at":"2026-08-14T02:24:14.986926Z","submitted_at":"2026-05-28T14:00:22Z","title":"Formalizing Mathematics at Scale","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-29T07:35:06.858835Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2605.29955"},"observation_digest":"sha256:00e7190626c0c7532883dbcae5af9da90d34b5e11345d5ba39c356632bae4149","observation_id":"4295e719-ca7f-4a96-a853-96f03b318fd0","resolution":{"observed_at":"2026-06-29T07:53:14.283850Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2605.30914","last_updated":"2026-05-29T06:59:28Z","snapshot_observed_at":"2026-08-14T18:21:58.376831Z","submitted_at":"2026-05-29T06:59:28Z","title":"Automating Formal Verification with Reinforcement Learning and Recursive Inference","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-06-28T23:52:36.891080Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2605.30914"},"observation_digest":"sha256:85534566646aeba4fd89533c5734fa2fe1e40c6e6415d6e1cbac3d28e0c2f1a9","observation_id":"688ab582-52a5-4fad-b660-12c250441d42","resolution":{"observed_at":"2026-06-28T23:52:49.264256Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.01008","last_updated":"2026-08-17T18:41:11Z","snapshot_observed_at":"2026-08-19T22:19:19.908362Z","submitted_at":"2026-05-31T04:51:27Z","title":"FVSpec: Real-World Property-Based Tests as Lean Challenges","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-28T17:05:13.012431Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.01008"},"observation_digest":"sha256:1a7a97ea74a469b974ccac68a380a3855057f8ea8cef5f90bc5a6a7526ad8dc4","observation_id":"a654de46-e19c-4788-a459-edd1fe4e74b0","resolution":{"observed_at":"2026-06-28T17:12:25.323873Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.02588","last_updated":"2026-05-20T08:15:43Z","snapshot_observed_at":"2026-08-14T14:33:37.857107Z","submitted_at":"2026-05-20T08:15:43Z","title":"Lean-GAP: A Dataset of Formalized Graduate Algebra Problems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-30T17:32:00.411535Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.02588"},"observation_digest":"sha256:9c2abc9b1daef41698edc666495c5b4c3f398895267615d1658278e33d8a974e","observation_id":"750e4f64-e370-4bbc-b613-9d4333aef2b8","resolution":{"observed_at":"2026-06-30T17:34:57.544982Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.08728","last_updated":"2026-07-26T11:27:42Z","snapshot_observed_at":"2026-08-02T12:04:58.846884Z","submitted_at":"2026-06-07T16:50:07Z","title":"Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery","version":1},"reference_index":202,"source":"pdf_text","source_observed_at":"2026-06-27T18:39:44.696961Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.08728"},"observation_digest":"sha256:260df2632b3a7065346dfcdfb7ab17b23f98ebee14db0ac16348af6d28f9d93e","observation_id":"1e6b2307-aedc-4cca-a118-2cbf19395251","resolution":{"observed_at":"2026-07-02T22:47:26.078083Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-02T12:05:18.200650Z","title":"ProofNet: Autoformalizing and formally proving undergraduate-level mathematics,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.08728","last_updated":"2026-07-26T11:27:42Z","snapshot_observed_at":"2026-08-02T12:04:58.846884Z","submitted_at":"2026-06-07T16:50:07Z","title":"Artificial Intelligence for Mathematical Reasoning: An Integrated Survey of Language Models, Neuro-symbolic Systems, and Verified Discovery","version":4},"reference_index":204,"source":"pdf_text","source_observed_at":"2026-08-02T12:05:18.200650Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.08728"},"observation_digest":"sha256:3cab7a7e84b5ed47ad8b136f2a02a3a5e8037a4858465d84dadab870725ba0e7","observation_id":"1261e638-34c6-4ae7-a032-98a7fe89fc4d","resolution":{"observed_at":"2026-08-02T12:05:18.200650Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.09449","last_updated":"2026-06-08T12:57:09Z","snapshot_observed_at":"2026-08-14T23:41:21.682830Z","submitted_at":"2026-06-08T12:57:09Z","title":"Reasoning without Gold Standards: A Proxy-Judge Theory of Autoformalization","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-27T16:44:03.889425Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.09449"},"observation_digest":"sha256:d8418e185ac998399f3c63f3943634d0e65dc219066b3a35d7422515d57bb13b","observation_id":"50d50ff1-54d0-4536-977e-83a3ebc41b13","resolution":{"observed_at":"2026-07-03T01:17:30.568133Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.09450","last_updated":"2026-06-08T12:57:18Z","snapshot_observed_at":"2026-08-02T11:29:46.747086Z","submitted_at":"2026-06-08T12:57:18Z","title":"TheoremBench: Evaluating LLMs on Theorem Proving in Formal Mathematics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-27T16:19:11.123994Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.09450"},"observation_digest":"sha256:22693b6d6cdaef3f32508600276a788996a964e17dc392692f37461b08789496","observation_id":"34204ed4-e5e2-490a-a202-dd14ea4c4ce3","resolution":{"observed_at":"2026-07-03T01:47:31.541436Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.17289","last_updated":"2026-06-18T21:31:54Z","snapshot_observed_at":"2026-08-14T12:11:10.224303Z","submitted_at":"2026-06-15T20:54:04Z","title":"Nothing from Something: Can a Language Model Discover 0?","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-06-27T03:23:19.093035Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.17289"},"observation_digest":"sha256:5fc8b0ccc33e83ad3c49f9bc29c13242cd4eeb07effa40ee840bce96678a93c9","observation_id":"89c2ad0a-cd6a-4b11-8ede-d269d3e681c8","resolution":{"observed_at":"2026-06-27T03:30:27.000990Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.18121","last_updated":"2026-06-16T16:21:52Z","snapshot_observed_at":"2026-08-13T01:41:14.895614Z","submitted_at":"2026-06-16T16:21:52Z","title":"On the Reliability of Networks of AI Agents: Density Evolution, Stopping Sets, and Architecture Optimization","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-26T21:47:40.583759Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.18121"},"observation_digest":"sha256:ded77fc09d41afd9cc7642f74a6ab27a7def9c0501dc9fa8a957b1c86d6f3392","observation_id":"b9a12c3b-5b9a-4f14-bbc1-83c840d9b5ce","resolution":{"observed_at":"2026-07-03T23:49:02.334100Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.18557","last_updated":"2026-06-17T00:13:40Z","snapshot_observed_at":"2026-08-07T16:18:46.205397Z","submitted_at":"2026-06-17T00:13:40Z","title":"DeFAb: A Verifiable Benchmark for Defeasible Abduction in Foundation Models","version":1},"reference_index":76,"source":"arxiv_source","source_observed_at":"2026-06-26T21:27:33.349681Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.18557"},"observation_digest":"sha256:1a7940fbb63723df60fde1781e2845e0228f623e131dc5af223430df1dcc23ec","observation_id":"55772b43-ca3d-4889-8b0d-2a93f8bf48c0","resolution":{"observed_at":"2026-07-04T00:09:14.865066Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.22873","last_updated":"2026-06-25T18:44:01Z","snapshot_observed_at":"2026-08-12T17:43:10.201466Z","submitted_at":"2026-06-22T05:37:43Z","title":"SingGuard: A Policy-Adaptive Multimodal LLM Guardrail with Dynamic Reasoning","version":2},"reference_index":244,"source":"arxiv_source","source_observed_at":"2026-06-26T09:19:50.623741Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.22873"},"observation_digest":"sha256:c8616142420a41119504383fda704f092aaa7918c1488a45f98e45433fdc3235","observation_id":"682a8efd-df00-4102-81e9-d2fb378e6f97","resolution":{"observed_at":"2026-07-04T09:59:44.721045Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.22873","last_updated":"2026-06-25T18:44:01Z","snapshot_observed_at":"2026-08-12T17:43:10.201466Z","submitted_at":"2026-06-22T05:37:43Z","title":"SingGuard: A Policy-Adaptive Multimodal LLM Guardrail with Dynamic Reasoning","version":3},"reference_index":243,"source":"arxiv_source","source_observed_at":"2026-06-29T01:18:19.195007Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.22873"},"observation_digest":"sha256:3f9af5b3657cd115c9ef5e64dfe3716bb9d84e07ff778d96ff41285473e9bb44","observation_id":"32b0d6de-0d21-4968-a3e0-6d765eea06d1","resolution":{"observed_at":"2026-07-01T18:55:59.603921Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.25561","last_updated":"2026-06-24T08:37:38Z","snapshot_observed_at":"2026-08-02T18:51:27.426890Z","submitted_at":"2026-06-24T08:37:38Z","title":"CrypFormBench: Benchmarking Formal Analysis Capability of Large Language Models for Cryptographic Schemes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-25T20:51:33.256476Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.25561"},"observation_digest":"sha256:9bcecfa109fec947fb5688aa5e64e286c96aa448ea035d6ba7d566ff0364e3cb","observation_id":"331fab86-ec80-48bc-b885-ae368e598045","resolution":{"observed_at":"2026-06-25T20:58:21.177384Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.26246","last_updated":"2026-06-24T18:00:12Z","snapshot_observed_at":"2026-08-15T13:25:53.234977Z","submitted_at":"2026-06-24T18:00:12Z","title":"Lacuna: A Research Map for Machine Learning","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-26T00:51:24.834719Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.26246"},"observation_digest":"sha256:f9754576e097df4796292e529dfbf6b6805fd68dec8737bdf5504ccbcd202f43","observation_id":"b6666c31-c752-4116-9369-3e4fa145bf88","resolution":{"observed_at":"2026-07-04T16:09:57.435204Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.28013","last_updated":"2026-06-26T12:15:12Z","snapshot_observed_at":"2026-08-15T05:43:54.619694Z","submitted_at":"2026-06-26T12:15:12Z","title":"The Signal-Coverage Matrix: Stratifying Type and Semantic Errors in Statement Autoformalization","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-06-29T04:24:44.674063Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.28013"},"observation_digest":"sha256:2dea3fc330965eae10e59dcf58a00e5a5020ed9bbc689248b42d43116836aac8","observation_id":"7467117d-85bf-431f-ad41-d5e56ab32cf0","resolution":{"observed_at":"2026-07-01T16:55:51.176552Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.28841","last_updated":"2026-06-27T09:58:09Z","snapshot_observed_at":"2026-08-02T19:18:42.790580Z","submitted_at":"2026-06-27T09:58:09Z","title":"LAMP: Lean-based Agentic framework with MCP and Proof Repair","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-30T08:35:40.617232Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.28841"},"observation_digest":"sha256:d30551cdd2b704bbc2ed88f80ef6f9742d02942a98ff493290e9711fedd3ee69","observation_id":"2637fc63-5af2-4442-9f25-4682ab67b76a","resolution":{"observed_at":"2026-06-30T08:44:27.825263Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":"2302.12433","doi":"10.48550/arxiv.2302.12433","metadata_source":"arxiv_reference","pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics","venue":"arXiv (Cornell University)","work_id":"d5be73f4-5f56-4254-94ca-01e3bba69c3c","year":2023},"citing_paper":{"arxiv_id":"2606.31002","last_updated":"2026-06-30T00:27:53Z","snapshot_observed_at":"2026-08-01T10:19:09.703226Z","submitted_at":"2026-06-30T00:27:53Z","title":"Beyond Compilation: Evaluating Faithful Natural-Language-to-Lean Statement Formalization","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-07-01T00:58:00.053021Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2606.31002"},"observation_digest":"sha256:e951e3aaf4bb0a3e0d02e15d7d4034e407c40d7b87dfce3080be37ec30321314","observation_id":"a2431055-3940-4f0b-bc62-5d353a17022c","resolution":{"observed_at":"2026-07-01T13:15:45.400715Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-12T04:49:09.745563+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-07-12T06:39:03.623110Z","title":"ProofNet: Autoformalizing and formally proving undergraduate-level mathematics,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.02847","last_updated":"2026-07-08T21:06:54Z","snapshot_observed_at":"2026-08-18T00:24:22.412061Z","submitted_at":"2026-07-03T00:50:51Z","title":"ShannonProver: Towards Automating Formal Cryptographic Proofs","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-07-12T06:39:03.623110Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2607.02847"},"observation_digest":"sha256:2eebae7ad9d88b182a70cf84b052504f9b5189ca47b736245819030bf24103d4","observation_id":"9d87cd1d-9b34-4928-8dc1-86f2bc6d1fea","resolution":{"observed_at":"2026-07-12T06:39:03.623110Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-07-11T15:42:50.296348Z","title":"Azerbayev, B","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.04655","last_updated":"2026-07-06T04:20:06Z","snapshot_observed_at":"2026-08-18T06:29:44.667648Z","submitted_at":"2026-07-06T04:20:06Z","title":"FormalRx: Rectify and eXamine Semantic Failures in Autoformalization","version":1},"reference_index":94,"source":"arxiv_source","source_observed_at":"2026-07-11T15:42:50.296348Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2607.04655"},"observation_digest":"sha256:fda5bd2bb040709e6d492115259c168a16e795f31b09723fcdecb96fad05681b","observation_id":"889cff2e-a969-417f-b490-238cebe8d094","resolution":{"observed_at":"2026-07-11T15:42:50.296348Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-07-13T04:38:11.219373Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.09217","last_updated":"2026-07-10T09:07:12Z","snapshot_observed_at":"2026-08-14T08:20:02.828209Z","submitted_at":"2026-07-10T09:07:12Z","title":"OpenProver: Agentic and Interactive Theorem Proving with Lean 4","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-13T04:38:11.219373Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2607.09217"},"observation_digest":"sha256:7bc7ba96d5034b65a84bd07d6e12d85261d393d82f5e651780c38611fca9b1e9","observation_id":"180d3762-a0f4-441c-a237-8a48fd7f04a0","resolution":{"observed_at":"2026-07-13T04:38:11.219373Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-02T05:40:06.156806Z","title":"Ayers and Dragomir Radev and Jeremy Avigad , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.13292","last_updated":"2026-08-05T04:34:27Z","snapshot_observed_at":"2026-08-14T06:49:58.232795Z","submitted_at":"2026-07-14T21:58:52Z","title":"Theory-Level Autoformalization: From Isolated Statements to Unified Formal Knowledge Bases","version":1},"reference_index":89,"source":"arxiv_source","source_observed_at":"2026-08-02T05:40:06.156806Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2607.13292"},"observation_digest":"sha256:10d9b7d8956985c8f9fc3a45d66bb67efd14d65022a358931def9f1e38e5e73c","observation_id":"05e3dcc5-a55e-49ac-8764-38ddabb20d31","resolution":{"observed_at":"2026-08-02T05:40:06.156806Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-01T21:40:03.235818Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.16372","last_updated":"2026-07-17T14:43:43Z","snapshot_observed_at":"2026-08-16T20:17:19.237552Z","submitted_at":"2026-07-17T14:43:43Z","title":"AoA: Theorem Proving Agent over Abstract Syntax Tree of Redesigned Language","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-01T21:40:03.235818Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2607.16372"},"observation_digest":"sha256:4ef80fdeaafc20a733aa6eaf19ce99972941dcd2d7464720f878c5813327a73b","observation_id":"ff0ce082-5bf7-45b2-b091-e2f4446860ed","resolution":{"observed_at":"2026-08-01T21:40:03.235818Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-02T09:51:59.427687Z","title":"and Ayers, Edward W","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.20503","last_updated":"2026-06-26T15:43:12Z","snapshot_observed_at":"2026-08-14T17:00:55.794750Z","submitted_at":"2026-06-26T15:43:12Z","title":"LeanFlow: A Case Study in Workflow-Driven Lean Autoformalization","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-02T09:51:59.427687Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2607.20503"},"observation_digest":"sha256:680e7ab00566d0aa5ec76d35178c8f2b4e989995cea56ba4aa571b4a55449ed5","observation_id":"e1a0dced-0e66-4b07-bcac-37e12dfa6ec7","resolution":{"observed_at":"2026-08-02T09:51:59.427687Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-01T04:33:58.032586Z","title":"Ayers, Dragomir Radev, and Jeremy Avigad","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.22511","last_updated":"2026-08-04T17:10:35Z","snapshot_observed_at":"2026-08-14T06:02:55.708530Z","submitted_at":"2026-07-24T17:32:35Z","title":"CausalForge: A Formally Grounded, Self-Improving Agentic Framework for Automated Research in Causal Inference","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T04:33:58.032586Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2607.22511"},"observation_digest":"sha256:c8aa868412591699fb244074b5073bd715ab2cabac0ac39fae26122d930abdf2","observation_id":"6e811318-c2e8-4a70-b753-a0da28b43cce","resolution":{"observed_at":"2026-08-01T04:33:58.032586Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-07-30T22:39:33.863515Z","title":"Ayers, Dragomir Radev, and Jeremy Avigad","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.23425","last_updated":"2026-07-26T02:49:56Z","snapshot_observed_at":"2026-08-11T20:27:29.196092Z","submitted_at":"2026-07-26T02:49:56Z","title":"TLA+-Bench: An Execution-Grounded Benchmark and Dataset for Natural-Language to TLA Specification Generation","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-30T22:39:33.863515Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2607.23425"},"observation_digest":"sha256:8e8c935f727ed9c3bb4462ab18e616d932a615cc4615086f6a5cc156f825614e","observation_id":"e411e123-eae2-4d26-930a-4173b930e941","resolution":{"observed_at":"2026-07-30T22:39:33.863515Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-01T15:51:24.082315Z","title":"arXiv preprint arXiv:2302.12433 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.27259","last_updated":"2026-07-29T03:25:07Z","snapshot_observed_at":"2026-08-18T18:03:08.566719Z","submitted_at":"2026-07-29T03:25:07Z","title":"CircuitProver: Agentic Lean 4 Theorem Proving with Reusable Circuit Proof Library for Hardware Verification","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-01T15:51:24.082315Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2607.27259"},"observation_digest":"sha256:279a8c68ef59ab070729ae59a4f947892abc3ba6f477e1ccbc5b1c26917e23c0","observation_id":"7c03062e-dfdc-44c1-8b48-1284e0995edb","resolution":{"observed_at":"2026-08-01T15:51:24.082315Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-15T23:58:31.806468Z","title":"Proofnet: Autoformalizing and formally proving undergraduate-level mathematics,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.12762","last_updated":"2026-08-13T03:12:17Z","snapshot_observed_at":"2026-08-19T15:01:31.399844Z","submitted_at":"2026-08-13T03:12:17Z","title":"PROVE-RT: Generating Mechanized Theorem Prover Scripts for Real-Time Systems using LLMs","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T23:58:31.806468Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2608.12762"},"observation_digest":"sha256:81a3611eaad3b3b160049cbfe833fa356257960f609ce8ef0744dd27c3e1a662","observation_id":"e34c8e4c-8b29-4d7b-b638-c33717e94790","resolution":{"observed_at":"2026-08-15T23:58:31.806468Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.12433","snapshot_observed_at":"2026-08-15T17:44:15.094714Z","title":"and Radev, Dragomir and Avigad, Jeremy , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.13060","last_updated":"2026-08-13T10:23:11Z","snapshot_observed_at":"2026-08-19T00:53:35.218085Z","submitted_at":"2026-08-13T10:23:11Z","title":"VALG: An Agentic System for ML Theory Research","version":1},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-08-15T17:44:15.094714Z"},"links":{"cited_paper":"/paper/2302.12433","citing_paper":"/paper/2608.13060"},"observation_digest":"sha256:accfcfdd39b442b11bdc2d2356429fabd8160fe44c4fbec5c4a873b8b07d6ae6","observation_id":"839f34fb-8ed7-4d2a-9470-dfba3daf1ac2","resolution":{"observed_at":"2026-08-15T17:44:15.094714Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2302.12433/citation-record","integrity":"/paper/2302.12433/integrity","json":"/paper/2302.12433/citation-record.json","paper":"/paper/2302.12433"},"outbound":[],"paper":{"arxiv_id":"2302.12433","last_updated":"2023-02-24T03:28:46Z","latest_version":1,"primary_category":"cs.CL","snapshot_observed_at":"2026-08-19T15:00:47.908932Z","submitted_at":"2023-02-24T03:28:46Z","title":"ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 75 inbound Pith citation observations for arXiv:2302.12433."}