{"as_of":"2026-08-05T20:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0e23fd81969837c9685108d9e3c048d448f04fe88442f8199aae65d2c439777b","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":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+00:00","state":"measured"},{"denominator":21,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T19:02:36.225532Z","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":3,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"citing_paper":{"arxiv_id":"2504.20984","last_updated":"2025-09-10T19:03:48Z","snapshot_observed_at":"2026-08-05T03:19:51.405028Z","submitted_at":"2025-04-29T17:55:52Z","title":"ACE: A Security Architecture for LLM-Integrated App Systems","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-22T18:05:50.363944Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2504.20984"},"observation_digest":"sha256:11339b379598b08132057fae4d5d1b858f665e1ba1410a9cc4a37e83e7e0ba49","observation_id":"574bfd47-e0ba-4435-a615-08905691302a","resolution":{"observed_at":"2026-05-22T18:06:54.318179Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"citing_paper":{"arxiv_id":"2510.12787","last_updated":"2026-05-22T10:39:41Z","snapshot_observed_at":"2026-08-01T15:39:50.322856Z","submitted_at":"2025-10-14T17:57:04Z","title":"Ax-Prover: A Deep Reasoning Agentic Framework for Theorem Proving in Mathematics and Quantum Physics","version":4},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-05-25T07:46:30.936002Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2510.12787"},"observation_digest":"sha256:028997fb5baffc234fed25d87c8ab4695fcb05932213eef12ae205606a086c9c","observation_id":"b15df685-45db-4452-af46-4f399ce00e9e","resolution":{"observed_at":"2026-05-25T07:46:42.199875Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-02T19:02:36.225532Z","title":", Yang, K","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2603.03971","last_updated":"2026-07-20T14:18:37Z","snapshot_observed_at":"2026-08-02T19:02:33.538115Z","submitted_at":"2026-03-04T12:14:21Z","title":"No Certificate, No Categorical Speech Act: A Brouwerian Assertibility Constraint for Public Reason","version":4},"reference_index":82,"source":"arxiv_source","source_observed_at":"2026-08-02T19:02:36.225532Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2603.03971"},"observation_digest":"sha256:9b17f2df2faa975d4d3c8a407d1f0f3cddccfe02268ef60ae66dce347733fe09","observation_id":"9e501d8e-c7d2-4d1b-8e25-3b070218ed56","resolution":{"observed_at":"2026-08-02T19:02:36.225532Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"citing_paper":{"arxiv_id":"2604.06802","last_updated":"2026-06-23T06:45:36Z","snapshot_observed_at":"2026-07-13T08:50:52.244397Z","submitted_at":"2026-04-08T08:16:37Z","title":"Riemann-Bench: A Benchmark for Moonshot Mathematics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-10T18:02:42.607682Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2604.06802"},"observation_digest":"sha256:4694592be8bc58deebe9fb4c2cdcdd8fe61adee4b2b258967311d7cde02248f3","observation_id":"53557270-e247-43a1-805b-c2343339963e","resolution":{"observed_at":"2026-05-11T05:36:00.818601Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"citing_paper":{"arxiv_id":"2604.16347","last_updated":"2026-03-16T14:19:33Z","snapshot_observed_at":"2026-07-06T23:03:43.854612Z","submitted_at":"2026-03-16T14:19:33Z","title":"Lean Atlas: An Integrated Proof Environment for Scalable Human-AI Collaborative Formalization","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-15T10:24:19.295736Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2604.16347"},"observation_digest":"sha256:55eb56ddd4cc34d6a92ffce961df814b8d5539d41afdc770ac922aef25895405","observation_id":"bf5d5ec5-a6ad-4473-9eaa-7342ad6965b4","resolution":{"observed_at":"2026-05-15T10:25:26.624855Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"citing_paper":{"arxiv_id":"2604.16507","last_updated":"2026-04-14T21:20:49Z","snapshot_observed_at":"2026-07-06T23:03:48.168078Z","submitted_at":"2026-04-14T21:20:49Z","title":"Deep Vision: A Formal Proof of Wolstenholmes Theorem in Lean 4","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-10T13:42:23.422110Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2604.16507"},"observation_digest":"sha256:5cec3ec9b1bafa46b0fc7be3993bc53dbc39f73feed3dfe08546683288cd1343","observation_id":"5c1def45-bcaf-4083-99c1-37a07c3bd0af","resolution":{"observed_at":"2026-05-10T13:45:28.062175Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"citing_paper":{"arxiv_id":"2604.17229","last_updated":"2026-04-19T03:27:16Z","snapshot_observed_at":"2026-07-06T23:04:23.730478Z","submitted_at":"2026-04-19T03:27:16Z","title":"Yanasse: Finding New Proofs from Deep Vision's Analogies, Part 1","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-10T06:48:19.791763Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2604.17229"},"observation_digest":"sha256:1be8f0aadfc43972894eb4079294b2b2ff447b8c2e0c349ef50f23b40442b26d","observation_id":"cfbfafd3-1218-4234-931c-c581a9f81d85","resolution":{"observed_at":"2026-05-10T06:51:46.198419Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"citing_paper":{"arxiv_id":"2605.01394","last_updated":"2026-05-02T11:31:33Z","snapshot_observed_at":"2026-07-06T23:14:38.379875Z","submitted_at":"2026-05-02T11:31:33Z","title":"LiveFMBench: Unveiling the Power and Limits of Agentic Workflows in Specification Generation","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-09T14:35:14.357256Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2605.01394"},"observation_digest":"sha256:2cba49e519a95822a2d0e03ba1501f9398be8a0c7e25c09cbcb451c7ea7f70dd","observation_id":"15581d90-a049-42c7-b7b7-3d2e896b53c5","resolution":{"observed_at":"2026-05-11T16:51:09.519810Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"citing_paper":{"arxiv_id":"2605.06651","last_updated":"2026-05-13T16:47:04Z","snapshot_observed_at":"2026-08-04T04:11:56.984099Z","submitted_at":"2026-05-07T17:56:32Z","title":"AI co-mathematician: Accelerating mathematicians with agentic AI","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-08T09:31:55.315364Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2605.06651"},"observation_digest":"sha256:b53465515f219d9178665aacdbe2c3b54600b6e1c89ae270322d16c6fec0f417","observation_id":"fb5d7bda-7682-4c1f-9377-15fdc2bbccb2","resolution":{"observed_at":"2026-05-11T20:21:09.180515Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"citing_paper":{"arxiv_id":"2605.06651","last_updated":"2026-05-13T16:47:04Z","snapshot_observed_at":"2026-08-04T04:11:56.984099Z","submitted_at":"2026-05-07T17:56:32Z","title":"AI co-mathematician: Accelerating mathematicians with agentic AI","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-14T21:04:57.852889Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2605.06651"},"observation_digest":"sha256:c98e77b85265bfbbcc59994e9633b5b2abd40f1d327ae790a31ee75103fb2466","observation_id":"0f369a7a-b060-4afe-bec7-b3a6f31f9060","resolution":{"observed_at":"2026-05-14T21:19:28.618964Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"citing_paper":{"arxiv_id":"2605.17829","last_updated":"2026-05-18T04:03:18Z","snapshot_observed_at":"2026-08-05T06:31:55.615676Z","submitted_at":"2026-05-18T04:03:18Z","title":"Interactive Evaluation Requires a Design Science","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-05-20T10:55:08.135630Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2605.17829"},"observation_digest":"sha256:22a88dd4d1d7e1655aa83502b7b111c6bd7ad40df937bf4597bd0f9aa8c2018b","observation_id":"05123fca-3413-4325-8007-1bab6361eb68","resolution":{"observed_at":"2026-05-20T10:58:13.996786Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"citing_paper":{"arxiv_id":"2605.27485","last_updated":"2026-05-26T14:50:47Z","snapshot_observed_at":"2026-08-02T13:15:11.614769Z","submitted_at":"2026-05-26T14:50:47Z","title":"Automating Formal Verification with Agent-Guided Tree Search","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-06-29T14:54:59.333847Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2605.27485"},"observation_digest":"sha256:65e6d5caeca00ff23f0088ae2f22e152dcfb8f4c9f68561cd4365aeb87a46d98","observation_id":"264e3b84-8698-4ac2-9fa7-6747c62e3d81","resolution":{"observed_at":"2026-06-29T15:03:31.428167Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"citing_paper":{"arxiv_id":"2605.30914","last_updated":"2026-05-29T06:59:28Z","snapshot_observed_at":"2026-08-04T08:48:12.582835Z","submitted_at":"2026-05-29T06:59:28Z","title":"Automating Formal Verification with Reinforcement Learning and Recursive Inference","version":1},"reference_index":130,"source":"pdf_text","source_observed_at":"2026-06-28T23:52:36.891080Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2605.30914"},"observation_digest":"sha256:40ee9a1d6018d3b8520e10220964a6debf414082f462cbb9db5ca3a62748d0c1","observation_id":"b5bffaab-3551-42b9-824f-e10d22260006","resolution":{"observed_at":"2026-06-28T23:52:49.184384Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"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":76,"source":"pdf_text","source_observed_at":"2026-06-27T18:39:44.696961Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2606.08728"},"observation_digest":"sha256:6c50a194ac224c692c8fdc7eff570a41effe0922c87a3558270b6fd8898463e1","observation_id":"f630ca6e-f1dd-45d2-bde9-adfadad29eff","resolution":{"observed_at":"2026-07-02T22:47:26.022794Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-02T12:05:10.068429Z","title":"Lean Copilot: Large language models as copilots for theorem proving in Lean,","venue":null,"work_id":null,"year":2024},"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":76,"source":"pdf_text","source_observed_at":"2026-08-02T12:05:10.068429Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2606.08728"},"observation_digest":"sha256:b00d9a37c3dbad16bdc490f483e451ce209a9514e80f9288f6962891b6fd0d73","observation_id":"f1333012-fd56-4840-a5a7-c30e8fa32553","resolution":{"observed_at":"2026-08-02T12:05:10.068429Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"citing_paper":{"arxiv_id":"2606.11113","last_updated":"2026-06-09T17:10:00Z","snapshot_observed_at":"2026-08-01T23:55:18.096441Z","submitted_at":"2026-06-09T17:10:00Z","title":"A Neurosymbolic Prolog Skill for LLM-Driven Service Placement","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-27T11:43:57.602045Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2606.11113"},"observation_digest":"sha256:a923908f261ba075a7e61a40c1c9b68253ad5845fda43cf9ef36ae82fa198c0c","observation_id":"718a7bf5-0630-4a41-8e44-79bb8a560476","resolution":{"observed_at":"2026-07-03T07:47:45.192386Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"citing_paper":{"arxiv_id":"2606.20642","last_updated":"2026-06-03T20:03:38Z","snapshot_observed_at":"2026-08-02T21:31:44.514997Z","submitted_at":"2026-06-03T20:03:38Z","title":"Hypothesis-Disciplined Multi-Agent Automated Formalization of Asymptotic Statistical Theory","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-28T05:52:05.192897Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2606.20642"},"observation_digest":"sha256:1478a2a600ad037117b49d501c58286605a97634c15ef84b91be4046858a5a56","observation_id":"fbf29544-68bc-488a-8dab-7f4d01d733e2","resolution":{"observed_at":"2026-07-02T08:36:48.553589Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":"2404.12534","doi":"10.48550/arxiv.2404.12534","metadata_source":"arxiv_reference","pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":"arXiv (Cornell University)","work_id":"eb0dfb99-78da-4194-9a5e-3dac04a7ee6f","year":2025},"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":34,"source":"pdf_text","source_observed_at":"2026-06-30T08:35:40.617232Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2606.28841"},"observation_digest":"sha256:622eda09b22e1b9c5cab1d3bb5fcbc5f6b079f2594f2838c0ad2aecb0ba2d610","observation_id":"b0a45d9c-c4cb-4790-99e6-927aa64b2620","resolution":{"observed_at":"2026-06-30T08:44:27.786308Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-01T18:17:12.832821Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.17352","last_updated":"2026-07-19T17:26:59Z","snapshot_observed_at":"2026-08-01T18:17:08.815342Z","submitted_at":"2026-07-19T17:26:59Z","title":"Self-Modifying Lean Proof Agents with Verifier-Grounded Benchmark Coevolution","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-01T18:17:12.832821Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2607.17352"},"observation_digest":"sha256:bf1a20b4e36a65fb31814ac784be151079f13a18f82e1504844395c106f754a9","observation_id":"31c2dc5f-6b95-485d-a0f3-c40e3363b86e","resolution":{"observed_at":"2026-08-01T18:17:12.832821Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-01T04:34:00.300256Z","title":"Lean copilot: Large language models as copilots for theorem proving in lean.arXiv preprint arXiv:2404.12534, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.22511","last_updated":"2026-08-04T17:10:35Z","snapshot_observed_at":"2026-08-05T20:01:50.855804Z","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":40,"source":"pdf_text","source_observed_at":"2026-08-01T04:34:00.300256Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2607.22511"},"observation_digest":"sha256:a56f927dd149e5b8eff2b32db25d846282b83fb512ddfb46eaafa1a3b2aa725d","observation_id":"c31a492d-5592-4d7b-b46d-f0e888e8f461","resolution":{"observed_at":"2026-08-01T04:34:00.300256Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.12534","snapshot_observed_at":"2026-08-01T15:51:25.873891Z","title":"arXiv preprint arXiv:2404.12534 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.27259","last_updated":"2026-07-29T03:25:07Z","snapshot_observed_at":"2026-08-04T00:04:19.493894Z","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":42,"source":"arxiv_source","source_observed_at":"2026-08-01T15:51:25.873891Z"},"links":{"cited_paper":"/paper/2404.12534","citing_paper":"/paper/2607.27259"},"observation_digest":"sha256:b4eabf0276dda1d4a7db93d0a101babec7fc0548de0ac532279e3611230f1747","observation_id":"62928011-7b1d-459c-b4a7-3b8f014c1285","resolution":{"observed_at":"2026-08-01T15:51:25.873891Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2404.12534/citation-record","integrity":"/paper/2404.12534/integrity","json":"/paper/2404.12534/citation-record.json","paper":"/paper/2404.12534"},"outbound":[],"paper":{"arxiv_id":"2404.12534","last_updated":"2025-05-11T09:58:48Z","latest_version":3,"primary_category":"cs.AI","snapshot_observed_at":"2026-08-04T18:01:59.080045Z","submitted_at":"2024-04-18T22:54:08Z","title":"Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean"},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 21 inbound Pith citation observations for arXiv:2404.12534."}