{"as_of":"2026-08-07T15:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0f1a2a27ecf30cc1a27b4d765c5bf7de045774320d7f891f815e7f37efaf47ca","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T15:04:50.090246Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-02T14:37:04.195258Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.18558","last_updated":"2024-12-24T17:21:07Z","snapshot_observed_at":"2026-08-02T00:22:47.419220Z","submitted_at":"2024-12-24T17:21:07Z","title":"A new way to prove configuration reducibility using gauge theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.18558","snapshot_observed_at":"2026-08-06T15:04:50.090246Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.17119","last_updated":"2025-07-23T01:48:19Z","snapshot_observed_at":"2026-08-06T14:54:28.794012Z","submitted_at":"2025-07-23T01:48:19Z","title":"Lectures on SL(3) foams and link homology","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T15:04:50.090246Z"},"links":{"cited_paper":"/paper/2412.18558","citing_paper":"/paper/2507.17119"},"observation_digest":"sha256:1e1ae4d60e207ccc27a8d3664d3a8f8a54a017418261f245cdd45e12ecfd6bb7","observation_id":"f40dbeaf-4d7f-4cce-9c1c-b034d3f98178","resolution":{"observed_at":"2026-08-06T15:04:50.090246Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.18558","last_updated":"2024-12-24T17:21:07Z","snapshot_observed_at":"2026-08-02T00:22:47.419220Z","submitted_at":"2024-12-24T17:21:07Z","title":"A new way to prove configuration reducibility using gauge theory","version":1},"cited_work":{"arxiv_id":"2412.18558","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.18558","snapshot_observed_at":"2026-07-02T14:37:04.195258Z","title":"Baldridge and B","venue":null,"work_id":"a55b3742-2c04-4115-83cf-1b519b24a09e","year":null},"citing_paper":{"arxiv_id":"2606.06643","last_updated":"2026-06-04T18:49:10Z","snapshot_observed_at":"2026-07-06T23:46:24.981618Z","submitted_at":"2026-06-04T18:49:10Z","title":"New relations for the Penrose polynomial","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-06-28T00:15:15.650075Z"},"links":{"cited_paper":"/paper/2412.18558","citing_paper":"/paper/2606.06643"},"observation_digest":"sha256:e81605920d8bf22437da14f4fce050ab98721380bf3b4c2fab122ddd7f6eb5c5","observation_id":"b829ab51-822e-41a2-b678-aae82d7c1aa3","resolution":{"observed_at":"2026-07-02T14:37:04.196715Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.18558","last_updated":"2024-12-24T17:21:07Z","snapshot_observed_at":"2026-08-02T00:22:47.419220Z","submitted_at":"2024-12-24T17:21:07Z","title":"A new way to prove configuration reducibility using gauge theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.18558","snapshot_observed_at":"2026-08-01T04:55:10.758925Z","title":"Baldridge and B","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.22398","last_updated":"2026-07-24T15:21:34Z","snapshot_observed_at":"2026-08-01T04:55:10.388109Z","submitted_at":"2026-07-24T15:21:34Z","title":"A counterexample for the polar conjecture of Spencer-Brown","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T04:55:10.758925Z"},"links":{"cited_paper":"/paper/2412.18558","citing_paper":"/paper/2607.22398"},"observation_digest":"sha256:95a8493b68c3fdfa8ee883ae8f64a0f711dde09b5a716bcd09c23b535e137316","observation_id":"59da4f89-b811-4687-9536-1bfe5ba65fde","resolution":{"observed_at":"2026-08-01T04:55:10.758925Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.18558","last_updated":"2024-12-24T17:21:07Z","snapshot_observed_at":"2026-08-02T00:22:47.419220Z","submitted_at":"2024-12-24T17:21:07Z","title":"A new way to prove configuration reducibility using gauge theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.18558","snapshot_observed_at":"2026-08-01T07:05:34.438569Z","title":"Baldridge and B","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.27488","last_updated":"2026-07-29T22:06:33Z","snapshot_observed_at":"2026-08-06T20:06:09.655636Z","submitted_at":"2026-07-29T22:06:33Z","title":"New relations for the vertex polynomial","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-01T07:05:34.438569Z"},"links":{"cited_paper":"/paper/2412.18558","citing_paper":"/paper/2607.27488"},"observation_digest":"sha256:d7da3964cf82da290681e6e6ef04b7ae52160c6da2d0ea4550b1cf36ee7ab580","observation_id":"667062df-c424-476b-8f7b-86c7315ca69b","resolution":{"observed_at":"2026-08-01T07:05:34.438569Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2412.18558/citation-record","integrity":"/paper/2412.18558/integrity","json":"/paper/2412.18558/citation-record.json","paper":"/paper/2412.18558"},"outbound":[],"paper":{"arxiv_id":"2412.18558","last_updated":"2024-12-24T17:21:07Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-02T00:22:47.419220Z","submitted_at":"2024-12-24T17:21:07Z","title":"A new way to prove configuration reducibility using gauge theory"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2412.18558."}