{"as_of":"2026-08-15T19:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:dfa3ce79a860843534089004afe5e87740b17f0e411db810376d4dad4bfa4d17","coverage":[{"denominator":66,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":66,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T17:16:32.556878Z","state":"measured"},{"denominator":67,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":67,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T17:33:57.931781Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.20068","snapshot_observed_at":"2026-07-31T17:33:57.931781Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.28110","last_updated":"2026-07-30T12:17:31Z","snapshot_observed_at":"2026-08-08T13:32:42.890643Z","submitted_at":"2026-07-30T12:17:31Z","title":"BlueprintRepair: Typed Local Edits for Failed Lean Proof Blueprints","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-07-31T17:33:57.931781Z"},"links":{"cited_paper":"/paper/2606.20068","citing_paper":"/paper/2607.28110"},"observation_digest":"sha256:c0ff985ae225af19b5c1578486796f2546dc449b8fc9ab00d0eab90f926956cb","observation_id":"662a445e-9363-4fb5-9542-25f9d6abbd24","resolution":{"observed_at":"2026-07-31T17:33:57.931781Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2606.20068/citation-record","integrity":"/paper/2606.20068/integrity","json":"/paper/2606.20068/citation-record.json","paper":"/paper/2606.20068"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"Scaling Learning Algorithms Towards","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:e6d65c4db1c30a809b9936988f0a8dc8b463a13f1f9dc7ac650ce052fecba79b","observation_id":"5402ccaa-bd14-4545-8ca8-2e39d3d6fe93","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"and Osindero, Simon and Teh, Yee Whye , journal =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:5bc83138192e73f452d8760617f39a531a9baedee8a968ac0725a28395514918","observation_id":"8304bcd1-6330-4b3e-9ded-b2606d95155a","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2016 , publisher=","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:95b1b7f037aad3ccc19e7341922abcf552bf9967823ed91db74cc2eb09ca1dc8","observation_id":"488a9ca6-f1e3-4ebe-9db5-b65d7d79a9fa","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:3414be57358f1930b43e3366f168121933c621045732487803d06c1ea1c7e27e","observation_id":"be763956-52f5-4a16-8869-5d10e6d0e574","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"5567.145560","doi":"10.1145/1455567.1455605","metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"and Shaw, J","venue":null,"work_id":"c8a59e9c-64e8-4eb6-a8c1-72dbef9e00c7","year":1957},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:fc24c53eb27fd6813aba1b9f7c4542a79b2ffabbeda51a49ed899c99f01d6cb4","observation_id":"05bb1023-95a9-4b63-9a7d-d56dc685bf4b","resolution":{"observed_at":"2026-06-26T17:19:36.136399Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"1996 , isbn =","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:ee0cc893bf197422de6b71529ef202d3a9dc3ea156fa0059516a35ba3bbcc6ce","observation_id":"63442741-256f-4014-a671-82ffbbb78c0f","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"A Formulation of the Simple Theory of Types , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:dec464fac2cbd062670a63d4524bd1d268fa99482587543e4d938f22ec80acc3","observation_id":"6fc929f7-a2c0-46f8-bce2-4e88f4928dd4","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"CADE , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:724466bfe49ecd51c50db86ca92bbab87d47fe5e22973a3bbc48cb111be14ca1","observation_id":"fcf03db6-39cd-4054-9c8b-6c5be7233ede","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":", title =","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:1d3800c62544622fb390adb4336555a86af30a2223e469a41d4c5217059c296a","observation_id":"35921b1e-dcc2-45cb-90d7-7f1e65108ee6","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:3255e05b5b7697ee8e37b33ddaabf57d0d7ce02475525cc3ccab8e893fe1833c","observation_id":"fe4a7470-6aa0-4b7c-b0a5-cd8f6cf4f910","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"The Lean 4 Theorem Prover and Programming Language , isbn =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:7073a410c2d32478058c920d0620ba5f4551f30b60e0790b6a01be1b2146647d","observation_id":"f6d91c4c-3ead-407c-9f11-76e50a30b627","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2020 , eprint=","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:5a6e0e23296003b2d53c5d53267b83a1653a0869d1c5a9e11dc3e8a9e04d8764","observation_id":"5cca9a2e-f87d-4915-9cec-ad8a4f938c6b","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2022 , eprint=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:9388e753e472ccf1ffd3cbb1c4813004f3b083393cc3a94418214a75cfc032a9","observation_id":"8f27a466-fb68-46c3-8b54-9c10df96ba91","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"ArXiv , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:42dbb33845f4f0eb9c29ed56e7bbb46f19c99e6c744269e9059857b7f87354c8","observation_id":"7f8fc7e4-cb0a-4a8a-8e7e-ef8b151e97f5","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:eebdfc31f150973237941e4052894d974e8f1610d73726dd673f89860019ada6","observation_id":"0c3fabae-6efc-48b5-82fe-9635ab5f0a2e","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2021 , eprint=","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:ca37d02c70f1999e58a40984e3c73f55d8401dc8119b6cb26ee0516d3b2e91a7","observation_id":"a9093d00-8a86-4d5e-91bf-70b2c543dee3","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:ff49d1758cb1992798a25669bfcc703b6aa18d385e3683e2e779ad264727d4d6","observation_id":"4bb7eb88-1ad7-4e35-8673-f49da970c886","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:60b576370c8e73b6db474d846bee0e8f3bfd36ed980359995be90036d6e07e20","observation_id":"9ffd0594-7bfa-40ca-85b1-55ee81d4bc54","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"Nature ,pages =","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:335cb37a256358c85d135857187c6f4cf99a6a1fc246935a36dd39535a782ab1","observation_id":"10dd5fd8-7cff-4777-8fe1-e2d086e0fec6","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , url =","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:db5ceed859fcad9383d07fa4c6c3f15c2c333910105e4f43077f4644972966f8","observation_id":"e910c673-d91d-4434-aa9d-0d7119afd1ae","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:a4f0d96d766d1a429dafed45c1573806247c7fb9ed0b6ae91dd67320b4586a00","observation_id":"3aab8aa2-2787-4e04-8c7d-1881790d56f3","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2022 , eprint=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:023cf4cdccebd9a546fc808a4dc0f60020a1842173795f4bd7bb6e0abf54fe26","observation_id":"f4529c55-39bf-4ce6-a54a-6c525f7a6136","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.18653/v1/2023.acl-long.706","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"DT-Solver:AutomatedTheoremProvingwithDynamic-TreeSampling Guided by Proof-level Value Function","venue":null,"work_id":"e87ce2d8-75dc-4338-bf69-722e5256a0dd","year":2023},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:8287b5052a76ceeae686564f7d455c37edf8fedabb16ab8e86f20c3b1ae952bf","observation_id":"b9ed169c-a4f3-48a3-9ed5-2a7ed72ebf9a","resolution":{"observed_at":"2026-06-26T17:19:36.133650Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-07-14T11:49:49.046093+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-14T11:49:49.046093+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:ee5112043caacc27e552e333fcf315524acf32715378d737c3aadda65f8c7e58","observation_id":"b937ca7d-20b2-454c-bf09-592d99880409","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:aef4b33595bfd9cc09cf85951748273fcfe1aca37a4c0998a5a159b51ee4ec50","observation_id":"afa90bb7-ee1e-43dc-949b-e792f78bd7b5","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:c2c856631a7cca4395662066b9a013b079e79a7be8b71a9aa6eebeea998c2538","observation_id":"d1b91076-3a8d-4482-826e-d9eb74149759","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:6fcb3bb9ae16cd8d5e543a1cd69bc22e33ecac1d6cd7aca50df1eb38af1734f4","observation_id":"7350569e-cb4e-4c9b-892b-a20c61b25799","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:f1ec86480ea0c5218750a093d3607c817caae5cc4916a56b57c9526b34b9341e","observation_id":"0eb481e0-544f-495f-9cfa-90d0256deff1","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2022 , eprint=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:bb895283cbfbeb28c8b42f5cda22ee9493896bfa75839bba04a6d4bdac45ed1a","observation_id":"012e017c-2a06-4803-a3c3-067c9e75da01","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2020 , eprint=","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:396f692fdb56c87031b891160a8981ead2735feb6b19e77dabb9ae30daaca57c","observation_id":"2752f0ef-cafb-43ca-aeb9-e4a1ccecb720","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:5f7f4783bae6c0d559a8f9f071fe72b4c2f32b970261a94443ad4c03bb2a707b","observation_id":"5e529133-1083-4371-b61d-f34b16634d34","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:48e2ad6cfccceb758445a32619668f96eff49ec695e91e06f462cfbc15e76cfc","observation_id":"8e661d24-164f-4ad5-ac6c-9b9e77ecb4d6","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:ae3f2d205f2bce5a4790925de6a18a2b2dc2eb387ab2666d4f4e2cdadb0ad794","observation_id":"9eccd149-818c-45cd-84da-853877148260","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2022 , eprint=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:3472f65e6afee771dabab6de4191937cc57ce16e626fdd38551754857e041db1","observation_id":"e96d0d08-efa6-4cfb-b491-d8c8cc10d188","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2023 , eprint=","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:6453d7cb5689d0994d937699ebbf81aa5a9428299393c3a63ad4e6c67085b74c","observation_id":"6d04c112-aa5b-46d7-83b0-be0bb5f7e81b","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:1506543b4ad088b148f14ef33a39c13b2b301de7d8d31262ceca9c62537391a6","observation_id":"efbed3a4-2324-41c7-9310-9d1bed499589","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:43c30a3ae034b9ac330f9b9cc10b705781389a93e58980a382009f080eddaf09","observation_id":"784f7c9b-c3ba-4e8b-b71a-f42c2fca361a","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:791e2423682abc4d4ebb3613adaf9eaeb69825c76f3d828729138b41af4d0a66","observation_id":"76e016fa-1fce-445b-943b-b81ac6ba0646","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:642ed267f883986724be9d9e506649fee6305b61aedda130ddd124433095261f","observation_id":"1173e903-c349-4c4a-985d-6addc42f58cf","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2023 , eprint=","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:fc93711bb8eb839ecfcb9cf4ef76dab32db6f88893e1367fa8cb263155b2ebd8","observation_id":"038317e8-04c0-4113-b7b8-e3b1ce67010d","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:3616c08a7724b25faba098a0185cd3080cfc67c41315700c70344a3196799b30","observation_id":"bd31d1fe-b467-4660-b7b6-9c0f4c95ff9e","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2017 , eprint=","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:0338f5c351350c420f9d63aedca9d38c007a7960b02eb08ec325aca21352453d","observation_id":"5d813cd2-6f08-444e-8fac-36e58c903b48","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2023 , eprint=","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:65a45996230774cb297b8d69144a25b7403895bd219b22cfae453cfbadcb6692","observation_id":"7fdacfb3-7188-431e-844f-51ebcad12d64","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:21dea4d90923ec46fa3dfd2f7b56e0ddb46259380d66fc1c44b350eb4c112e94","observation_id":"c7138edc-6b9e-4ae3-8d08-cd32b049a6da","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2023 , eprint=","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:87e089cad82393355aa17cb062dd35ec3db2a1b23f24191b76e590d449534d4e","observation_id":"795424fb-9ea5-41e3-9933-a3c520871f03","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:f38eaa430c18c6ebc89455a4f01c8e6676f1bc3644c2434d038410c0eba9a005","observation_id":"d7572f0e-1324-4a87-a9ad-82f06be165e3","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"Z3: an efficient SMT solver , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:ed15ae74c1e32dc94c4fb0db3bbb1a3343556dfd4f6387305df9565143592070","observation_id":"b9343849-b1d9-4018-924b-03eb110cb9df","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:25a82eee3a5027ce585a13c2ad6d842b4a954d9916b3af26e3e0d3aced62915a","observation_id":"269673e8-aaa1-45a9-a4cd-f38292e22114","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:8ea5e798810841cfa2e64048dfc442b0a293ecce29bc69a42996b3c5e692da52","observation_id":"7a58e650-063e-4ed4-955c-69e321f109c7","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:e06d907c8bd2cf0b6663b7ae44613cda2f32a56e3c9bf03ba32f8e361d65d50f","observation_id":"ecab95e1-0b33-48a9-9765-72adbaa205f4","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:996a9bdc23e277deba2d14523861d6aa4531ed25600ade53f581e9cf655ca2aa","observation_id":"1cb0a438-d32e-4988-9648-1f5a6f54a15c","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2024 , eprint=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:a103a2e350a479bf3c5305703c619674e68d2a715f3692e1f76f32f991dc09de","observation_id":"de20f188-515f-4eeb-9755-cb36fdff5936","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:840e4e5a9d838c32001f75cadec4f8c914b7be6dd25448311c63cc48dabca62f","observation_id":"2e012911-3136-4b9c-b019-e3c528796a75","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:4c26d25ac7470a39dd205671a7162995acae09627bbd042bd05086cef84bb277","observation_id":"62b0f047-043c-43cd-bd17-07bcce19eda9","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:5e8cd97f41aba1c3a51859b7d730693b7892504266d6d36b4985e9e398d23f27","observation_id":"4aae5ad6-3f24-40f9-919b-8deeecb2152d","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:eaa3b2fbd381f7f068ee31882d39ef0baf3b416575f5e25f3a21c2c1e75c4efb","observation_id":"51cc4b66-a36b-4cd4-9b13-f7af3df9045e","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:927959acbf5508658d5817e27062664876dcf8c7bddeeab5a6c5f7ceba3bcaba","observation_id":"766b8187-3d6c-40aa-b28b-2605359b684e","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:f2e38cff48561a8958ec296403a15bbb68c2c5bfd452b48cf0a612e6fd537dee","observation_id":"a68e6786-8488-4271-8198-b1dbe902cd33","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:b0a28a72d5c99542a44adc432835ddf2546a2406c2300191a5cb0a8cfa1874eb","observation_id":"6f86856f-afac-4659-90f7-9f5c96bf3240","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:89821ccd283d955351f07a7405c8fb725eb8d35ac61c5325be601eab35f1adfd","observation_id":"db674644-7002-4599-993a-d14116fcc4f4","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:21dbdc962a82515c66d54b705242bf2c6912f26d70fc50cd22507b7cffcb3342","observation_id":"8db868d0-b100-432c-af3a-76e08853cc9e","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:d19447f115e2fb64c426a99a39d273f383971a7e8107724da247417ce7749515","observation_id":"9d5e5820-387a-491a-bc50-099d40c74823","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:e345897fa99943b74f7e16815201d90a8ed8110fe3328fbba27ded2589306d06","observation_id":"933ca09f-4f1b-4309-bf10-b40ee5d7b5bc","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:2725689900d58151a5a4441fedca06f1b063705188fc3e9ce6ad52bfed63ff45","observation_id":"39353a91-6a63-4634-8bd3-070e3f7a1d93","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"and Harada, Daishi and Russell, Stuart J","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:d32af6f31b361e9876d4e84e094e4cf7d6fe7e40b31f10dc7df1ff01376835dd","observation_id":"ab962131-55fd-429e-8f3a-7d7cdc001664","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T17:16:32.556878Z","title":"2025 , eprint=","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-06-26T17:16:32.556878Z"},"links":{"citing_paper":"/paper/2606.20068"},"observation_digest":"sha256:3664a89259be69054f16cec4bdfdf222ed20e44482a1b4ec2e2f5abf0a29c3f2","observation_id":"3cceb1f2-6de1-40e0-82c1-4b2d968c42db","resolution":{"observed_at":"2026-06-26T17:16:32.556878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.20068","last_updated":"2026-06-18T10:40:55Z","latest_version":1,"primary_category":"cs.AI","snapshot_observed_at":"2026-08-08T03:29:39.187944Z","submitted_at":"2026-06-18T10:40:55Z","title":"Process-Verified Reinforcement Learning for Theorem Proving via Lean"},"reference_resolution":{"displayed":66,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":64,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":66},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 1 inbound Pith citation observation for arXiv:2606.20068."}