{"as_of":"2026-08-20T21:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:72e13535739903c589a20dcc7fc396d8da3e8256d498dee5c4a342590f23f581","coverage":[{"denominator":11,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T21:11:00.543659Z","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":"2026-08-20T06:33:59.587034+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":"2026-08-15T14:23:23.518750Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-15T14:23:24.206166Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.05019","last_updated":"2024-12-18T10:55:04Z","snapshot_observed_at":"2026-08-16T20:10:50.017029Z","submitted_at":"2024-12-06T13:10:46Z","title":"Affine relationships between steady currents","version":2},"cited_work":{"arxiv_id":"2412.05019","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.05019","snapshot_observed_at":"2026-08-15T14:23:24.206166Z","title":"Affine relationships between steady currents","venue":"cond-mat.stat-mech","work_id":"de7756d4-61b3-4a45-a9d3-1bc5fd7428a0","year":2024},"citing_paper":{"arxiv_id":"2608.11202","last_updated":"2026-08-11T17:59:01Z","snapshot_observed_at":"2026-08-19T08:59:47.503472Z","submitted_at":"2026-08-11T17:59:01Z","title":"Exact First-Passage Time Response Theory from Steady-State Response","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T14:23:23.518750Z"},"links":{"cited_paper":"/paper/2412.05019","citing_paper":"/paper/2608.11202"},"observation_digest":"sha256:81dc7fcf402cc57cbc13864208dc57a7a5177cbd5de7104bfd8b8b72c04acb27","observation_id":"5f93fca5-72a3-4845-8ac8-8dc485b9f65d","resolution":{"observed_at":"2026-08-15T14:23:24.267774Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.05019/citation-record","integrity":"/paper/2412.05019/integrity","json":"/paper/2412.05019/citation-record.json","paper":"/paper/2412.05019"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T21:11:00.727511Z","title":"Harunari, S","venue":null,"work_id":"385dad49-e896-47cc-bf01-de279f3cc198","year":2024},"citing_paper":{"arxiv_id":"2412.05019","last_updated":"2024-12-18T10:55:04Z","snapshot_observed_at":"2026-08-16T20:10:50.017029Z","submitted_at":"2024-12-06T13:10:46Z","title":"Affine relationships between steady currents","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T21:11:00.495972Z"},"links":{"citing_paper":"/paper/2412.05019"},"observation_digest":"sha256:852f60b4e4d272f9628883cee45538d3862d09b9936803e6ca51981269a41bd6","observation_id":"01d2c432-a19c-4633-ae7a-781ec07cd234","resolution":{"observed_at":"2026-08-11T21:11:00.732788Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T21:11:00.712207Z","title":null,"venue":null,"work_id":"71b60915-675b-49f8-a60f-75f357eb3751","year":1954},"citing_paper":{"arxiv_id":"2412.05019","last_updated":"2024-12-18T10:55:04Z","snapshot_observed_at":"2026-08-16T20:10:50.017029Z","submitted_at":"2024-12-06T13:10:46Z","title":"Affine relationships between steady currents","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T21:11:00.501002Z"},"links":{"citing_paper":"/paper/2412.05019"},"observation_digest":"sha256:c20709bb31e7e539ae1edc41ee1848e9d19f8c479076e2100c743eb6dece01e6","observation_id":"f77a5383-4c02-40b5-a1d1-484158ae1591","resolution":{"observed_at":"2026-08-11T21:11:00.716611Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T21:11:00.697531Z","title":null,"venue":null,"work_id":"b6587fde-f3f6-4416-9c2b-ffbf2f1f67bc","year":1957},"citing_paper":{"arxiv_id":"2412.05019","last_updated":"2024-12-18T10:55:04Z","snapshot_observed_at":"2026-08-16T20:10:50.017029Z","submitted_at":"2024-12-06T13:10:46Z","title":"Affine relationships between steady currents","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T21:11:00.505489Z"},"links":{"citing_paper":"/paper/2412.05019"},"observation_digest":"sha256:4aed012e18d12e5d867539145d9b5602f822d9c59e4fdf17a9b4703eae7f247f","observation_id":"4fbaac35-07e4-4328-948f-ea489233eab2","resolution":{"observed_at":"2026-08-11T21:11:00.702418Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T21:11:00.683308Z","title":null,"venue":null,"work_id":"0b168cbe-18e0-4d04-9091-571e830704b2","year":1931},"citing_paper":{"arxiv_id":"2412.05019","last_updated":"2024-12-18T10:55:04Z","snapshot_observed_at":"2026-08-16T20:10:50.017029Z","submitted_at":"2024-12-06T13:10:46Z","title":"Affine relationships between steady currents","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T21:11:00.509921Z"},"links":{"citing_paper":"/paper/2412.05019"},"observation_digest":"sha256:081c49c8e6a064c1ade4cfbf80ab5150e1bc57f8449e212c90ed33af92de4c51","observation_id":"d078c429-e13e-4fb0-9876-1008174dcc56","resolution":{"observed_at":"2026-08-11T21:11:00.687846Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T21:11:00.667846Z","title":null,"venue":null,"work_id":"ee9fe19e-0662-4f40-8449-78731e62c389","year":2020},"citing_paper":{"arxiv_id":"2412.05019","last_updated":"2024-12-18T10:55:04Z","snapshot_observed_at":"2026-08-16T20:10:50.017029Z","submitted_at":"2024-12-06T13:10:46Z","title":"Affine relationships between steady currents","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T21:11:00.514310Z"},"links":{"citing_paper":"/paper/2412.05019"},"observation_digest":"sha256:c2bc29b44425642d1ebafe5a97827269970a01de452bdae840d78a3ed572c647","observation_id":"f639442c-7518-4b92-9e9e-a9ffd00d071b","resolution":{"observed_at":"2026-08-11T21:11:00.672577Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T21:11:00.651778Z","title":null,"venue":null,"work_id":"ffd902d1-2fe8-4b4e-be86-8848be15fc98","year":2022},"citing_paper":{"arxiv_id":"2412.05019","last_updated":"2024-12-18T10:55:04Z","snapshot_observed_at":"2026-08-16T20:10:50.017029Z","submitted_at":"2024-12-06T13:10:46Z","title":"Affine relationships between steady currents","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T21:11:00.519240Z"},"links":{"citing_paper":"/paper/2412.05019"},"observation_digest":"sha256:4660ce8019064d0673a6b7714f31afe56c3f8e1f131e510e4e120eb8509be7bd","observation_id":"d9a9310d-c4dc-49ac-966e-11942f240794","resolution":{"observed_at":"2026-08-11T21:11:00.656593Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.16093","last_updated":"2024-07-22T23:29:41Z","snapshot_observed_at":"2026-08-16T22:45:03.238094Z","submitted_at":"2024-07-22T23:29:41Z","title":"Coplanarity of rooted spanning-tree vectors","version":1},"cited_work":{"arxiv_id":"2407.16093","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.16093","snapshot_observed_at":"2026-08-11T21:11:00.578688Z","title":"Coplanarity of rooted spanning-tree vectors","venue":"math.CO","work_id":"891aa756-2321-4812-829d-4072c5aa88c8","year":2024},"citing_paper":{"arxiv_id":"2412.05019","last_updated":"2024-12-18T10:55:04Z","snapshot_observed_at":"2026-08-16T20:10:50.017029Z","submitted_at":"2024-12-06T13:10:46Z","title":"Affine relationships between steady currents","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T21:11:00.524100Z"},"links":{"cited_paper":"/paper/2407.16093","citing_paper":"/paper/2412.05019"},"observation_digest":"sha256:9b99ad9ef374dc8902c5fdb6b5b899c15c607674d2e593b1c7443c6165af248b","observation_id":"b2ad51e9-c88a-4f66-82c6-41dde03844c3","resolution":{"observed_at":"2026-08-11T21:11:00.586488Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+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":"2026-08-11T21:11:00.529335Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2412.05019","last_updated":"2024-12-18T10:55:04Z","snapshot_observed_at":"2026-08-16T20:10:50.017029Z","submitted_at":"2024-12-06T13:10:46Z","title":"Affine relationships between steady currents","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T21:11:00.529335Z"},"links":{"citing_paper":"/paper/2412.05019"},"observation_digest":"sha256:7a4504ebe1cb45c00725363a3fbc59c9cee7c2ecaa60f4a399f043ea2a1e3145","observation_id":"602d10d5-8c9d-4eba-b92d-c6d83b9a1817","resolution":{"observed_at":"2026-08-11T21:11:00.529335Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T21:11:00.626879Z","title":"Harvey, S","venue":null,"work_id":"a913b9e6-7043-4142-8b17-b5950aced86f","year":2023},"citing_paper":{"arxiv_id":"2412.05019","last_updated":"2024-12-18T10:55:04Z","snapshot_observed_at":"2026-08-16T20:10:50.017029Z","submitted_at":"2024-12-06T13:10:46Z","title":"Affine relationships between steady currents","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T21:11:00.534192Z"},"links":{"citing_paper":"/paper/2412.05019"},"observation_digest":"sha256:6638bf6ffe4f80a96ae745598dbe618d7427ad36166c68119b55601e14d67d02","observation_id":"6f5c1b75-8433-4ad5-8980-0c241603063c","resolution":{"observed_at":"2026-08-11T21:11:00.631113Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T21:11:00.612118Z","title":"Khodabandehlou, C","venue":null,"work_id":"fcdb8fe6-d192-4764-8cab-e71ab0c2266a","year":2024},"citing_paper":{"arxiv_id":"2412.05019","last_updated":"2024-12-18T10:55:04Z","snapshot_observed_at":"2026-08-16T20:10:50.017029Z","submitted_at":"2024-12-06T13:10:46Z","title":"Affine relationships between steady currents","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T21:11:00.539110Z"},"links":{"citing_paper":"/paper/2412.05019"},"observation_digest":"sha256:09050d27a9270767ca4016a719f1c72292cdad40a9eaae5014ab46fe6a5aa881","observation_id":"2f318bf0-c9d6-40eb-8b5a-50fead54588b","resolution":{"observed_at":"2026-08-11T21:11:00.616420Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T21:11:00.597163Z","title":"Khodabandehlou, C","venue":null,"work_id":"f5137f23-3063-48c0-8b34-ea6c83c8a09a","year":2022},"citing_paper":{"arxiv_id":"2412.05019","last_updated":"2024-12-18T10:55:04Z","snapshot_observed_at":"2026-08-16T20:10:50.017029Z","submitted_at":"2024-12-06T13:10:46Z","title":"Affine relationships between steady currents","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T21:11:00.543659Z"},"links":{"citing_paper":"/paper/2412.05019"},"observation_digest":"sha256:3a684ed4de1384e0a0671cbd3388433c66407c041085b7892b8025859e28dec2","observation_id":"cbdcef0e-f1c6-4334-95be-96bbf601fbc3","resolution":{"observed_at":"2026-08-11T21:11:00.601577Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.05019","last_updated":"2024-12-18T10:55:04Z","latest_version":2,"primary_category":"cond-mat.stat-mech","snapshot_observed_at":"2026-08-16T20:10:50.017029Z","submitted_at":"2024-12-06T13:10:46Z","title":"Affine relationships between steady currents"},"reference_resolution":{"displayed":11,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":1,"verified_fuzzy":4},"total_outbound_references":11},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 1 inbound Pith citation observation for arXiv:2412.05019."}