{"as_of":"2026-08-11T08:44:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:935fa2e03b6b4ab2b21bbc5b808aa8845607dfe7055bbf3f72bc3ab8eff6ecc8","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T09:50:37.748066Z","state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":[],"links":{"evidence":"/evidence","html":"/paper/2608.02295/citation-record","integrity":"/paper/2608.02295/integrity","json":"/paper/2608.02295/citation-record.json","paper":"/paper/2608.02295"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T09:50:36.705392Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02295","last_updated":"2026-08-03T14:24:12Z","snapshot_observed_at":"2026-08-07T21:20:58.762954Z","submitted_at":"2026-08-03T14:24:12Z","title":"MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T09:50:36.705392Z"},"links":{"citing_paper":"/paper/2608.02295"},"observation_digest":"sha256:5b2b56ef990f10ec7487ed180d98da458ed5e34b3533425935c2e14839a7ec9d","observation_id":"e7e44b2a-2eaf-42a4-ae21-48d264003261","resolution":{"observed_at":"2026-08-04T09:50:36.705392Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.03303","last_updated":"2026-06-03T06:16:05Z","snapshot_observed_at":"2026-08-09T09:54:41.536935Z","submitted_at":"2026-06-02T08:16:42Z","title":"LEAP: Supercharging LLMs for Formal Mathematics with Agentic Frameworks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.03303","snapshot_observed_at":"2026-08-04T09:50:36.431267Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.02295","last_updated":"2026-08-03T14:24:12Z","snapshot_observed_at":"2026-08-07T21:20:58.762954Z","submitted_at":"2026-08-03T14:24:12Z","title":"MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T09:50:36.431267Z"},"links":{"cited_paper":"/paper/2606.03303","citing_paper":"/paper/2608.02295"},"observation_digest":"sha256:1204c6da47226686bd7424a56c3b99e05c8c4721f9d5c7c81311c967261685a1","observation_id":"fc423dd3-843f-40fb-b814-ff79628f4139","resolution":{"observed_at":"2026-08-04T09:50:36.431267Z","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":"2026-08-04T09:50:37.428096Z","title":"Pn X∈convexHullR({P1,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02295","last_updated":"2026-08-03T14:24:12Z","snapshot_observed_at":"2026-08-07T21:20:58.762954Z","submitted_at":"2026-08-03T14:24:12Z","title":"MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T09:50:37.428096Z"},"links":{"citing_paper":"/paper/2608.02295"},"observation_digest":"sha256:5f28c1ab4993ffbede8a7fcdada65744155a8f5303b4aa6eb557846ec8ab725f","observation_id":"204527f6-4fe2-449b-8480-3f5b04abea94","resolution":{"observed_at":"2026-08-04T09:50:37.428096Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.31134","last_updated":"2026-08-05T20:38:33Z","snapshot_observed_at":"2026-08-09T23:09:50.625695Z","submitted_at":"2026-06-30T05:05:03Z","title":"Beyond the Library: An Agentic Framework for Autoformalizing Research Mathematics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.31134","snapshot_observed_at":"2026-08-04T09:50:36.617243Z","title":"Chendong Song, Zihan Wang, Frederick Pu, Haiming Wang, Xiaohan Lin, Junqi Liu, Jia Li, and Zhengying Liu","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.02295","last_updated":"2026-08-03T14:24:12Z","snapshot_observed_at":"2026-08-07T21:20:58.762954Z","submitted_at":"2026-08-03T14:24:12Z","title":"MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T09:50:36.617243Z"},"links":{"cited_paper":"/paper/2606.31134","citing_paper":"/paper/2608.02295"},"observation_digest":"sha256:93281f72ba98244bde16347b5f14546df82e6bda3839e2ba1eef3113a50730cb","observation_id":"85df978a-7ed3-401e-b594-5b98da2a9db5","resolution":{"observed_at":"2026-08-04T09:50:36.617243Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-04T09:50:37.748066Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.02295","last_updated":"2026-08-03T14:24:12Z","snapshot_observed_at":"2026-08-07T21:20:58.762954Z","submitted_at":"2026-08-03T14:24:12Z","title":"MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T09:50:37.748066Z"},"links":{"citing_paper":"/paper/2608.02295"},"observation_digest":"sha256:c593fea022db18a49266be32fef452ba06e4abc5b1fe39c4a6fdb4efc7e32db7","observation_id":"19795e55-28a4-4e4e-acb0-1cc1ed8599a5","resolution":{"observed_at":"2026-08-04T09:50:37.748066Z","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":"2026-08-04T09:50:36.868622Z","title":"ABCDis a par- allelogram","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.02295","last_updated":"2026-08-03T14:24:12Z","snapshot_observed_at":"2026-08-07T21:20:58.762954Z","submitted_at":"2026-08-03T14:24:12Z","title":"MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T09:50:36.868622Z"},"links":{"citing_paper":"/paper/2608.02295"},"observation_digest":"sha256:b1c5343b4d14f736427308299270cdbc72c925197f66c9f0b2308c21bac8be63","observation_id":"5c4cbfbe-b087-452c-b9fc-6ca057d2cfa9","resolution":{"observed_at":"2026-08-04T09:50:36.868622Z","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":"2026-08-04T09:50:36.990625Z","title":"∀h : AffineIndependent (P := EuclideanSpaceR(Fin 2))R![A, B, C], let S := Affine.Simplex.insphere (P := EuclideanSpaceR(Fin 2))⟨![A, B, C], h⟩","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02295","last_updated":"2026-08-03T14:24:12Z","snapshot_observed_at":"2026-08-07T21:20:58.762954Z","submitted_at":"2026-08-03T14:24:12Z","title":"MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T09:50:36.990625Z"},"links":{"citing_paper":"/paper/2608.02295"},"observation_digest":"sha256:b3ea1ef6ca55701efa61058cc996d3148be7dd03c01d4e5eb5288bd7c41f5d61","observation_id":"65e280fb-529e-4d31-b26e-92e1efa85d89","resolution":{"observed_at":"2026-08-04T09:50:36.990625Z","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":"2026-08-04T09:50:37.135927Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02295","last_updated":"2026-08-03T14:24:12Z","snapshot_observed_at":"2026-08-07T21:20:58.762954Z","submitted_at":"2026-08-03T14:24:12Z","title":"MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T09:50:37.135927Z"},"links":{"citing_paper":"/paper/2608.02295"},"observation_digest":"sha256:a1128fd4220a96b7cca75650dbd13d08c2dff38b531854b00c655a1af23cb051","observation_id":"22b5362d-8210-463e-be82-57e78fcadc6c","resolution":{"observed_at":"2026-08-04T09:50:37.135927Z","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":"2026-08-04T09:50:37.281598Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02295","last_updated":"2026-08-03T14:24:12Z","snapshot_observed_at":"2026-08-07T21:20:58.762954Z","submitted_at":"2026-08-03T14:24:12Z","title":"MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T09:50:37.281598Z"},"links":{"citing_paper":"/paper/2608.02295"},"observation_digest":"sha256:6987a5851707c61a073e4df27c59ffb5e33996267a12629360c7826efb98aa5f","observation_id":"fb856386-5742-40f9-9ad5-02be3c598398","resolution":{"observed_at":"2026-08-04T09:50:37.281598Z","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":"2026-08-04T09:50:37.572135Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02295","last_updated":"2026-08-03T14:24:12Z","snapshot_observed_at":"2026-08-07T21:20:58.762954Z","submitted_at":"2026-08-03T14:24:12Z","title":"MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T09:50:37.572135Z"},"links":{"citing_paper":"/paper/2608.02295"},"observation_digest":"sha256:4da0fb0bae018eb59232791ce65c7f03df310c907fda5ff089bfb9bed67071d5","observation_id":"40eb0e67-b96c-45c2-8335-2c4a543a25d1","resolution":{"observed_at":"2026-08-04T09:50:37.572135Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.21801","last_updated":"2025-07-18T08:20:23Z","snapshot_observed_at":"2026-08-02T11:46:58.603316Z","submitted_at":"2025-04-30T16:57:48Z","title":"DeepSeek-Prover-V2: Advancing Formal Mathematical Reasoning via Reinforcement Learning for Subgoal Decomposition","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.21801","snapshot_observed_at":"2026-08-04T09:50:36.515662Z","title":"Julien Narboux","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2608.02295","last_updated":"2026-08-03T14:24:12Z","snapshot_observed_at":"2026-08-07T21:20:58.762954Z","submitted_at":"2026-08-03T14:24:12Z","title":"MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-04T09:50:36.515662Z"},"links":{"cited_paper":"/paper/2504.21801","citing_paper":"/paper/2608.02295"},"observation_digest":"sha256:06f52a9371391754b78c5317c77203304a2015df5da28756afdc1292f1c7a70f","observation_id":"87819602-1d43-4a84-ad1e-31661abd1be8","resolution":{"observed_at":"2026-08-04T09:50:36.515662Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.23726","last_updated":"2025-08-01T03:36:47Z","snapshot_observed_at":"2026-08-07T12:23:31.292936Z","submitted_at":"2025-07-31T17:00:30Z","title":"Seed-Prover: Deep and Broad Reasoning for Automated Theorem Proving","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.23726","snapshot_observed_at":"2026-08-04T09:50:36.314424Z","title":"Michael Beeson, Julien Narboux, and Freek Wiedijk","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.02295","last_updated":"2026-08-03T14:24:12Z","snapshot_observed_at":"2026-08-07T21:20:58.762954Z","submitted_at":"2026-08-03T14:24:12Z","title":"MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4","version":1},"reference_index":2026,"source":"pdf_text","source_observed_at":"2026-08-04T09:50:36.314424Z"},"links":{"cited_paper":"/paper/2507.23726","citing_paper":"/paper/2608.02295"},"observation_digest":"sha256:52ec94071af8338bb5a67eb1a3049b55a233c01b552129d25daceb10908848ce","observation_id":"99fdb566-6666-467b-8cd1-77341a8be84e","resolution":{"observed_at":"2026-08-04T09:50:36.314424Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.02295","last_updated":"2026-08-03T14:24:12Z","latest_version":1,"primary_category":"cs.AI","snapshot_observed_at":"2026-08-07T21:20:58.762954Z","submitted_at":"2026-08-03T14:24:12Z","title":"MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":12},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2608.02295."}