{"as_of":"2026-08-06T01:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:05bc473e410c082488bb2159c316ef672f0f20ffe907f0ba178f35bee27c912e","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":31,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":31,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+00:00","state":"measured"},{"denominator":31,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":31,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T16:11:23.146879Z","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":25,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2305.18323","last_updated":"2023-05-23T00:16:48Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2023-05-23T00:16:48Z","title":"ReWOO: Decoupling Reasoning from Observations for Efficient Augmented Language Models","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-15T18:15:55.525596Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2305.18323"},"observation_digest":"sha256:7e0b1187c27e570195a98e53084f71151dd6c8e5416f0c1392cea94d4191545a","observation_id":"54194c3c-b8d2-4a16-909d-9e6a07b2d08c","resolution":{"observed_at":"2026-05-15T18:15:55.702986Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2402.03300","last_updated":"2024-04-27T15:25:53Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2024-02-05T18:55:32Z","title":"DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models","version":3},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-05-24T03:23:18.827351Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2402.03300"},"observation_digest":"sha256:74aaa00bc1c225b452ad549b525c28dcb27ec2d4400b735db0cb86a3012b31dd","observation_id":"548256bf-3509-4989-8bc9-f27889d66013","resolution":{"observed_at":"2026-05-24T03:23:49.595938Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T16:11:23.146879Z","title":"Jiang, Sean Welleck, Jin Peng Zhou, Wenda Li, Jiacheng Liu, Mateja Jamnik, Timothée Lacroix, Yuhuai Wu, and Guillaume Lample","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2508.18914","last_updated":"2025-08-26T10:38:18Z","snapshot_observed_at":"2026-08-05T16:11:09.217502Z","submitted_at":"2025-08-26T10:38:18Z","title":"FormaRL: Enhancing Autoformalization with no Labeled Data","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-05T16:11:23.146879Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2508.18914"},"observation_digest":"sha256:81b0305f3e9752d506a3865fa11922714c57d78917711efa32e47c96b2416107","observation_id":"1b4f71fc-f388-4227-9c42-bc58764a76a3","resolution":{"observed_at":"2026-08-05T16:11:23.146879Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2510.01346","last_updated":"2025-10-10T20:12:14Z","snapshot_observed_at":"2026-08-02T06:00:59.770868Z","submitted_at":"2025-10-01T18:21:13Z","title":"Aristotle: IMO-level Automated Theorem Proving","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-15T08:51:37.827144Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2510.01346"},"observation_digest":"sha256:09fe3aa0bbad3a1feabe0d0f32eaf9d44c73fba1d345d8ecc3ec9506529ac130","observation_id":"c596097a-d2ea-4f97-9b27-2254e098080b","resolution":{"observed_at":"2026-05-15T08:51:37.929190Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2601.20055","last_updated":"2026-05-02T03:45:31Z","snapshot_observed_at":"2026-07-06T22:43:12.468415Z","submitted_at":"2026-01-27T20:59:11Z","title":"VERGE: Formal Refinement and Guidance Engine for Verifiable LLM Reasoning","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-16T10:20:43.601411Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2601.20055"},"observation_digest":"sha256:7d930c4af9e4b3c8ff211eeedaa58905f3f3e3f86dbee3eb000ca88eec0f0d9a","observation_id":"fe4e614c-a1cd-450e-a683-34dd464c3bcd","resolution":{"observed_at":"2026-05-16T10:20:49.950748Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2602.24273","last_updated":"2026-05-14T16:23:55Z","snapshot_observed_at":"2026-08-02T04:41:42.758635Z","submitted_at":"2026-02-27T18:43:47Z","title":"A Minimal Agent for Automated Theorem Proving","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-15T18:44:35.600033Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2602.24273"},"observation_digest":"sha256:9724c467d146b4d54a73d5cf21de2bb18a86348cba644d4b2fee90d8d5fd9532","observation_id":"c8fd43b4-895e-447e-946a-dfe18ad17ed9","resolution":{"observed_at":"2026-05-15T18:46:29.270218Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-07-13T13:34:41.548490Z","title":"Thomas Hubert, Rishi Mehta, Laurent Sartran, Miklós Z","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2604.03070","last_updated":"2026-06-19T04:47:04Z","snapshot_observed_at":"2026-07-13T13:34:41.070446Z","submitted_at":"2026-04-03T14:50:16Z","title":"How Your Credentials Are Leaked by LLM Agent Skills: An Empirical Study","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-13T13:34:41.548490Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2604.03070"},"observation_digest":"sha256:4184cd7e8649b452dad2e1711ce815830e21d45618055a8f49eec95f25cd9ce8","observation_id":"1e972be0-64e1-43e8-86aa-b30a25dd9c03","resolution":{"observed_at":"2026-07-13T13:34:41.548490Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-07-13T13:34:41.548490Z","title":"Keller Jordan, Jeremy Bernstein, Brendan Rappazzo, @fernbear.bsky.social, Boza Vlado, You Jiacheng, Franz Cesista, Braden Koszarsky, and @Grad62304977","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2604.03070","last_updated":"2026-06-19T04:47:04Z","snapshot_observed_at":"2026-07-13T13:34:41.070446Z","submitted_at":"2026-04-03T14:50:16Z","title":"How Your Credentials Are Leaked by LLM Agent Skills: An Empirical Study","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-13T13:34:41.548490Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2604.03070"},"observation_digest":"sha256:4e6137c21b16cb69f241ca2bda637a2b69d35f565bf0086e8e8e64cb1da6fa80","observation_id":"27d15ec0-f38e-47de-80d9-c98dbe6e17ab","resolution":{"observed_at":"2026-07-13T13:34:41.548490Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2604.03071","last_updated":"2026-04-03T14:51:01Z","snapshot_observed_at":"2026-08-03T21:01:45.224658Z","submitted_at":"2026-04-03T14:51:01Z","title":"Automatic Textbook Formalization","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-13T20:08:10.087342Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2604.03071"},"observation_digest":"sha256:4b830be3c45af368cf54769ee31210a16dafa3094a1c4c54cc4c4e2c821b3572","observation_id":"82a2e99a-a79e-4c9e-8b9e-1324ea352037","resolution":{"observed_at":"2026-05-13T20:08:12.498927Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2604.19558","last_updated":"2026-04-21T15:11:42Z","snapshot_observed_at":"2026-08-02T09:13:36.201999Z","submitted_at":"2026-04-21T15:11:42Z","title":"On Reasoning-Centric LLM-based Automated Theorem Proving","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-10T02:26:38.719009Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2604.19558"},"observation_digest":"sha256:c13d668b8b747f6da094d92a03b585b21c6f06310193944312317640928fde0f","observation_id":"d22abfb0-c86d-4a24-bd68-43f3719a52f7","resolution":{"observed_at":"2026-05-11T13:01:25.138772Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2604.25155","last_updated":"2026-04-28T02:57:20Z","snapshot_observed_at":"2026-08-04T04:22:10.934988Z","submitted_at":"2026-04-28T02:57:20Z","title":"Rethinking Wireless Communications through Formal Mathematical AI Reasoning","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-05-07T15:42:24.167986Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2604.25155"},"observation_digest":"sha256:bfea0be4053263bc7aead358bec478c259350e834a2f530d77f83c6cafcd953b","observation_id":"db359685-7da3-458d-b655-ee188ad0d222","resolution":{"observed_at":"2026-05-12T00:11:16.526176Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2605.11905","last_updated":"2026-05-12T10:18:28Z","snapshot_observed_at":"2026-07-06T23:23:39.723268Z","submitted_at":"2026-05-12T10:18:28Z","title":"Rethinking Supervision Granularity: Segment-Level Learning for LLM-Based Theorem Proving","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-13T06:07:29.492413Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2605.11905"},"observation_digest":"sha256:a46b029afa609dfca8e8a23ba9ae0a153b8e6875b0ed4b16a18859a978a90ef2","observation_id":"1b687381-27a2-43fc-bf2c-23df720275ed","resolution":{"observed_at":"2026-05-13T06:12:22.956733Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2605.13817","last_updated":"2026-05-13T17:43:13Z","snapshot_observed_at":"2026-08-03T08:37:41.189338Z","submitted_at":"2026-05-13T17:43:13Z","title":"Neurosymbolic Auditing of Natural-Language Software Requirements","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-14T18:02:20.449404Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2605.13817"},"observation_digest":"sha256:daa78889e5aa0bf211be9a4aef14a08910e71adc8e7a09449da4b8256e8bda37","observation_id":"1083bd59-3396-4d48-8b0e-c00e36b50e56","resolution":{"observed_at":"2026-05-14T18:02:32.242382Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2605.14972","last_updated":"2026-05-14T15:36:44Z","snapshot_observed_at":"2026-07-06T23:26:18.733776Z","submitted_at":"2026-05-14T15:36:44Z","title":"Viverra: Text-to-Code with Guarantees","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-05-15T03:15:11.893095Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2605.14972"},"observation_digest":"sha256:80f042a745a4dfa068a524247adaaf997d621866b80692180dfdb0891919f495","observation_id":"dfc6e9e4-def8-43b4-b0c1-2db6a8423c04","resolution":{"observed_at":"2026-05-15T03:19:44.308029Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2605.17246","last_updated":"2026-05-17T04:05:54Z","snapshot_observed_at":"2026-08-01T21:52:30.484192Z","submitted_at":"2026-05-17T04:05:54Z","title":"Fidelity Probes for Specification--Code Alignment","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-05-20T14:25:47.925154Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2605.17246"},"observation_digest":"sha256:e004219d9adec2ce6ce1819ac5ade78c54249487dea874a5b6611c1b8b466159","observation_id":"f6b04231-c1ad-40f8-9427-ee9635e1f1d7","resolution":{"observed_at":"2026-05-20T14:28:21.378713Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2605.17283","last_updated":"2026-05-17T06:39:05Z","snapshot_observed_at":"2026-08-02T16:55:37.869194Z","submitted_at":"2026-05-17T06:39:05Z","title":"OProver: A Unified Framework for Agentic Formal Theorem Proving","version":1},"reference_index":132,"source":"arxiv_source","source_observed_at":"2026-05-20T14:43:46.517807Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2605.17283"},"observation_digest":"sha256:fba9daf1682f020713e2cf80cdf6b9d237d1e36346a4075297aa5f6d8ba53ee1","observation_id":"878d43f9-e286-4674-ba8e-da9c7ef20f13","resolution":{"observed_at":"2026-05-20T14:48:23.552084Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2605.22763","last_updated":"2026-06-08T12:23:48Z","snapshot_observed_at":"2026-08-01T12:58:29.630459Z","submitted_at":"2026-05-21T17:24:57Z","title":"Advancing Mathematics Research with AI-Driven Formal Proof Search","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-22T05:10:45.453144Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2605.22763"},"observation_digest":"sha256:38973b276ea8daf580d9357de0b72a06b9fb7bc5a50cecd9ec42f2c87d88569b","observation_id":"fd5a9f3a-a13a-4d50-8f53-fc4f5cea6160","resolution":{"observed_at":"2026-05-22T05:11:06.310224Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2605.22763","last_updated":"2026-06-08T12:23:48Z","snapshot_observed_at":"2026-08-01T12:58:29.630459Z","submitted_at":"2026-05-21T17:24:57Z","title":"Advancing Mathematics Research with AI-Driven Formal Proof Search","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-30T16:56:39.110356Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2605.22763"},"observation_digest":"sha256:9084400000c8ff43471b0a16fed17ac649194c63693a0ad28f4170fed27e8e1b","observation_id":"d0f45df5-9eb4-4a59-aeaa-b92182b74733","resolution":{"observed_at":"2026-06-30T17:04:57.722545Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2605.22885","last_updated":"2026-05-21T02:20:26Z","snapshot_observed_at":"2026-08-02T15:51:48.099258Z","submitted_at":"2026-05-21T02:20:26Z","title":"ImProver 2: Iteratively Self-Improving LMs for Neurosymbolic Proof Optimization","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-25T06:10:58.192987Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2605.22885"},"observation_digest":"sha256:147cad2d8d9321e8a2c6fa496814d1ef5188c4571057e71444f85dd23364c283","observation_id":"7b4364d8-cdcc-4dd9-900b-1f7666c0a2c6","resolution":{"observed_at":"2026-05-25T06:15:23.388835Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2605.23109","last_updated":"2026-05-22T00:05:36Z","snapshot_observed_at":"2026-07-06T23:33:24.215365Z","submitted_at":"2026-05-22T00:05:36Z","title":"Inductive Deductive Synthesis: Enabling AI to Generate Formally Verified Systems","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-25T04:52:06.456555Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2605.23109"},"observation_digest":"sha256:c21d2d5bb23795cffdfafc614ba717bd7b450404a049ed0657358fcb46498600","observation_id":"da5ae8e2-47de-4783-9a24-7a630ce04dc3","resolution":{"observed_at":"2026-05-25T04:55:23.772918Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2605.29251","last_updated":"2026-05-28T02:12:41Z","snapshot_observed_at":"2026-07-06T23:38:41.516603Z","submitted_at":"2026-05-28T02:12:41Z","title":"Provably Secure Agent Guardrail","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-29T07:43:17.593344Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2605.29251"},"observation_digest":"sha256:12f097aaef1da907537f97c43659374ead8bc331fca2d3ffb84fefdbc3ff7b97","observation_id":"0bbcde5d-2ad9-4345-bbb7-d987081383e9","resolution":{"observed_at":"2026-06-29T07:53:13.215075Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"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":82,"source":"pdf_text","source_observed_at":"2026-06-28T23:52:36.891080Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2605.30914"},"observation_digest":"sha256:b02a690e94b82853c9ff38cb0150baad612e4b3ab1c85c39f967e5c0371bf6b1","observation_id":"dd6121ed-a9b2-450f-baf3-bfccc8d1e4c7","resolution":{"observed_at":"2026-06-28T23:52:49.285715Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2606.03743","last_updated":"2026-06-02T14:56:10Z","snapshot_observed_at":"2026-07-06T23:43:55.632508Z","submitted_at":"2026-06-02T14:56:10Z","title":"Proof-Refactor: Refactoring Generated Formal Proofs into Modular Artifacts","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-28T09:53:31.880933Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2606.03743"},"observation_digest":"sha256:66fee149d96526a3ebf677cb8fc802c4cfb248bf2c8d55746ec0fcbcdb02a463","observation_id":"029e5cca-fa2e-4b07-b7f6-0f0367efe2e2","resolution":{"observed_at":"2026-07-02T03:36:29.757689Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2606.05400","last_updated":"2026-06-03T20:09:39Z","snapshot_observed_at":"2026-08-02T19:19:40.682112Z","submitted_at":"2026-06-03T20:09:39Z","title":"LeanMarathon: Toward Reliable AI Co-Mathematicians through Long-Horizon Lean Autoformalization","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-28T05:48:56.691155Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2606.05400"},"observation_digest":"sha256:d1b37ad8132436c3b9cb3eddc1101e6d17f3ef69a52bed117124f2d865b9f3dc","observation_id":"d4945172-c6af-4fa3-b467-6095ce97c574","resolution":{"observed_at":"2026-07-02T08:36:48.747923Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2606.06468","last_updated":"2026-06-04T17:54:44Z","snapshot_observed_at":"2026-08-01T01:11:45.256948Z","submitted_at":"2026-06-04T17:54:44Z","title":"Goedel-Architect: Streamlining Formal Theorem Proving with Blueprint Generation and Refinement","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-28T00:59:54.485343Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2606.06468"},"observation_digest":"sha256:f100077b1b611c68096c681b71596eb1fc245cf33fe588dad8eba47677f4cdfe","observation_id":"62e9c733-f218-45ef-95c1-0d50b25d2105","resolution":{"observed_at":"2026-07-02T13:46:59.619039Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2606.24443","last_updated":"2026-06-23T11:24:49Z","snapshot_observed_at":"2026-07-06T23:59:03.724013Z","submitted_at":"2026-06-23T11:24:49Z","title":"Verifiable Auto-Formalization of Mathematics Using a Relaxed Natural Formal Language","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-25T21:59:02.948726Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2606.24443"},"observation_digest":"sha256:72bf186a820d3c0b9cb3c3043d00e1c26a65068bd9192734818dcafe8886479b","observation_id":"d9ec7e2f-d9c1-4ac5-85b2-c5d44d4f6978","resolution":{"observed_at":"2026-07-04T19:10:04.275656Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","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":16,"source":"pdf_text","source_observed_at":"2026-06-30T08:35:40.617232Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2606.28841"},"observation_digest":"sha256:2cb1a487b888de04dcab318ffbf353ea7ab009df3b42bc89b620d988170e3d33","observation_id":"ddc86e4f-1c7a-4eb2-b073-d9779c41cbae","resolution":{"observed_at":"2026-06-30T08:44:27.806158Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":"2210.12283","doi":"10.48550/arxiv.2210.12283","metadata_source":"arxiv_reference","pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhaoyu Li, Jialiang Sun, Logan Murphy, Qidong Su, Zenan Li, Xian Zhang, Kaiyu Yang, and Xujie Si","venue":"arXiv (Cornell University)","work_id":"0ea71c7c-abbf-4737-9dc1-dbed9a5c5b20","year":2023},"citing_paper":{"arxiv_id":"2606.29687","last_updated":"2026-06-29T01:25:40Z","snapshot_observed_at":"2026-07-07T00:03:36.327050Z","submitted_at":"2026-06-29T01:25:40Z","title":"A Machine-Verified Proof of a Quantum-Optimization Conjecture","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-30T06:40:20.723937Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2606.29687"},"observation_digest":"sha256:8a6d58a4c07f2406038ebb101409fcd7c0283995797cb870eb271f1310e441a4","observation_id":"b266efa9-0773-465c-b861-452c30a5acfb","resolution":{"observed_at":"2026-06-30T06:44:19.033495Z","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":"2026-05-25T18:54:23.866349+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-25T18:54:23.866349+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-01T18:17:11.832781Z","title":"Draft, sketch, and prove: Guiding formal theorem provers with informal proofs","venue":null,"work_id":null,"year":2023},"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":14,"source":"pdf_text","source_observed_at":"2026-08-01T18:17:11.832781Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2607.17352"},"observation_digest":"sha256:2e885ce0eb61bea5e7c1a1ba792a11ffbf63cb79c19cfd3fc50a1c6f5988ebd2","observation_id":"740185af-08bb-4481-8c85-84129081f66f","resolution":{"observed_at":"2026-08-01T18:17:11.832781Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-01T08:21:00.624869Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2607.21187","last_updated":"2026-07-23T11:15:38Z","snapshot_observed_at":"2026-08-03T09:43:36.329431Z","submitted_at":"2026-07-23T11:15:38Z","title":"Case study: proving sqrt(2) irrational with LPTP and an LLM","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T08:21:00.624869Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2607.21187"},"observation_digest":"sha256:906846bef1da7e1634a0209383a9b1d26047051e5617698d327f3de01f4d90e9","observation_id":"c5a81746-1bfd-41ee-8ae7-102221e9b62f","resolution":{"observed_at":"2026-08-01T08:21:00.624869Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.12283","snapshot_observed_at":"2026-08-01T15:51:23.866997Z","title":"arXiv preprint arXiv:2210.12283 , 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":24,"source":"arxiv_source","source_observed_at":"2026-08-01T15:51:23.866997Z"},"links":{"cited_paper":"/paper/2210.12283","citing_paper":"/paper/2607.27259"},"observation_digest":"sha256:224916361bc36ba07a958662ab4d317ade9d8df92e0cd4fbe3500deb7137cc5f","observation_id":"f612f628-0004-4ab4-9ab7-b259e056e394","resolution":{"observed_at":"2026-08-01T15:51:23.866997Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2210.12283/citation-record","integrity":"/paper/2210.12283/integrity","json":"/paper/2210.12283/citation-record.json","paper":"/paper/2210.12283"},"outbound":[],"paper":{"arxiv_id":"2210.12283","last_updated":"2023-02-20T16:10:20Z","latest_version":3,"primary_category":"cs.AI","snapshot_observed_at":"2026-07-06T14:08:57.404437Z","submitted_at":"2022-10-21T22:37:22Z","title":"Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs"},"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 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 31 inbound Pith citation observations for arXiv:2210.12283."}