{"as_of":"2026-08-09T01:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1946ee33b9595c139ef642ad8b8e5b0ac305bffc10d19615054cd6f02183bc7a","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:48:07.584845Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"pith","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":330,"observed_at":"2026-08-05T02:28:24.338817Z","source":"pith"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2012.00163","last_updated":"2023-02-10T22:22:44Z","snapshot_observed_at":"2026-08-04T07:00:37.854855Z","submitted_at":"2020-11-30T23:30:15Z","title":"A New Treatment of Boundary Conditions in PDE Solution with Galerkin Methods via Partial Integral Equation Framework","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.00163","snapshot_observed_at":"2026-08-07T05:48:07.584845Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2506.07027","last_updated":"2025-06-08T07:30:18Z","snapshot_observed_at":"2026-08-08T03:53:51.865308Z","submitted_at":"2025-06-08T07:30:18Z","title":"A Neuronal Model at the Edge of Criticality: An Ising-Inspired Approach to Brain Dynamics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T05:48:07.584845Z"},"links":{"cited_paper":"/paper/2012.00163","citing_paper":"/paper/2506.07027"},"observation_digest":"sha256:835be75421969dbf013bb81c711a20a3bcd67e4b902885524344bee082b54a3e","observation_id":"2c5f6897-0bf0-4b66-9c0b-5aa3cc4f7023","resolution":{"observed_at":"2026-08-07T05:48:07.584845Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.00163","last_updated":"2023-02-10T22:22:44Z","snapshot_observed_at":"2026-08-04T07:00:37.854855Z","submitted_at":"2020-11-30T23:30:15Z","title":"A New Treatment of Boundary Conditions in PDE Solution with Galerkin Methods via Partial Integral Equation Framework","version":5},"cited_work":{"arxiv_id":"2012.00163","doi":"10.3389/fnhum.2012.00163","metadata_source":"pith","pith_arxiv_id":"2012.00163","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"A New Treatment of Boundary Conditions in PDE Solution with Galerkin Methods via Partial Integral Equation Framework","venue":"math.NA","work_id":"e26324e4-4bbf-4d94-8c85-5e23f0cf68e2","year":2020},"citing_paper":{"arxiv_id":"2604.18359","last_updated":"2026-04-20T14:50:24Z","snapshot_observed_at":"2026-08-02T10:42:01.760832Z","submitted_at":"2026-04-20T14:50:24Z","title":"Temporal Retention of Information as a Biosignature","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T03:41:35.153250Z"},"links":{"cited_paper":"/paper/2012.00163","citing_paper":"/paper/2604.18359"},"observation_digest":"sha256:5c02f500aa9ef3a77bd3db421c2ca5c8df35463cf93fafb89dfa1d27e063a179","observation_id":"8198ba97-c849-41fb-adf3-a3a6c0b9f641","resolution":{"observed_at":"2026-05-10T03:49:31.543304Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2012.00163","last_updated":"2023-02-10T22:22:44Z","snapshot_observed_at":"2026-08-04T07:00:37.854855Z","submitted_at":"2020-11-30T23:30:15Z","title":"A New Treatment of Boundary Conditions in PDE Solution with Galerkin Methods via Partial Integral Equation Framework","version":5},"cited_work":{"arxiv_id":"2012.00163","doi":"10.3389/fnhum.2012.00163","metadata_source":"pith","pith_arxiv_id":"2012.00163","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"A New Treatment of Boundary Conditions in PDE Solution with Galerkin Methods via Partial Integral Equation Framework","venue":"math.NA","work_id":"e26324e4-4bbf-4d94-8c85-5e23f0cf68e2","year":2020},"citing_paper":{"arxiv_id":"2607.07460","last_updated":"2026-07-08T14:28:10Z","snapshot_observed_at":"2026-08-01T15:04:23.117146Z","submitted_at":"2026-07-08T14:28:10Z","title":"Social-spatial dependencies for learning visual navigation","version":1},"reference_index":272,"source":"arxiv_source","source_observed_at":"2026-07-11T11:50:26.030339Z"},"links":{"cited_paper":"/paper/2012.00163","citing_paper":"/paper/2607.07460"},"observation_digest":"sha256:33479eebec2b1c4e253badc2c524e2fa762aeab63313ba78a0e5c1a4a08104a9","observation_id":"f3adbe27-d1b6-48f6-b762-1abbb2c4f74c","resolution":{"observed_at":"2026-07-09T10:26:10.667297Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2012.00163/citation-record","integrity":"/paper/2012.00163/integrity","json":"/paper/2012.00163/citation-record.json","paper":"/paper/2012.00163"},"outbound":[],"paper":{"arxiv_id":"2012.00163","last_updated":"2023-02-10T22:22:44Z","latest_version":5,"primary_category":"math.NA","snapshot_observed_at":"2026-08-04T07:00:37.854855Z","submitted_at":"2020-11-30T23:30:15Z","title":"A New Treatment of Boundary Conditions in PDE Solution with Galerkin Methods via Partial Integral Equation Framework"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2012.00163."}