{"as_of":"2026-08-16T01:26:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a0a7db441aa9a7996a3b02a4b1f631081c4f103e4df96ad39943b6fad0551749","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":"2026-08-15T06:32:42.880941+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":"2026-08-11T15:02:44.623720Z","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":"2026-06-29T11:53:24.404574Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2312.07563","last_updated":"2024-12-11T01:22:57Z","snapshot_observed_at":"2026-08-15T20:11:13.010021Z","submitted_at":"2023-12-09T20:45:17Z","title":"Persistent Topological Laplacians -- a Survey","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.07563","snapshot_observed_at":"2026-08-11T15:02:44.623720Z","title":"Persistent topological laplacians–a survey","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2412.11386","last_updated":"2024-12-16T02:28:00Z","snapshot_observed_at":"2026-08-13T11:00:07.254237Z","submitted_at":"2024-12-16T02:28:00Z","title":"Category-Specific Topological Learning of Metal-Organic Frameworks","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-11T15:02:44.623720Z"},"links":{"cited_paper":"/paper/2312.07563","citing_paper":"/paper/2412.11386"},"observation_digest":"sha256:b88d515408849f0f2b79b921fcb891004096a43994c2954123aa2c0645170797","observation_id":"8c5df33b-3c5a-440e-964c-2e48e22efd65","resolution":{"observed_at":"2026-08-11T15:02:44.623720Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.07563","last_updated":"2024-12-11T01:22:57Z","snapshot_observed_at":"2026-08-15T20:11:13.010021Z","submitted_at":"2023-12-09T20:45:17Z","title":"Persistent Topological Laplacians -- a Survey","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.07563","snapshot_observed_at":"2026-08-10T23:08:06.982622Z","title":"Persistent topological laplacians–a survey.arXiv preprint arXiv:2312.07563, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.00234","last_updated":"2025-03-16T22:38:46Z","snapshot_observed_at":"2026-08-14T03:02:15.836071Z","submitted_at":"2024-12-31T03:00:04Z","title":"Eigenvalue gaps of the Laplacian of random graphs","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-10T23:08:06.982622Z"},"links":{"cited_paper":"/paper/2312.07563","citing_paper":"/paper/2501.00234"},"observation_digest":"sha256:d4cdc43c0a9e766e4ebb743f5b7d3a7468fd83e13b9983876ad1940dde5dcfee","observation_id":"25995317-e5ae-4a88-b8f1-d31fadd5da44","resolution":{"observed_at":"2026-08-10T23:08:06.982622Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.07563","last_updated":"2024-12-11T01:22:57Z","snapshot_observed_at":"2026-08-15T20:11:13.010021Z","submitted_at":"2023-12-09T20:45:17Z","title":"Persistent Topological Laplacians -- a Survey","version":2},"cited_work":{"arxiv_id":"2312.07563","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2312.07563","snapshot_observed_at":"2026-06-29T11:53:24.404574Z","title":"Wei and G.-W","venue":null,"work_id":"3a0d0c8c-2455-4f81-9ea0-37992e3042c3","year":2025},"citing_paper":{"arxiv_id":"2605.28927","last_updated":"2026-05-27T18:00:00Z","snapshot_observed_at":"2026-08-02T14:15:16.962790Z","submitted_at":"2026-05-27T18:00:00Z","title":"Quantum encodings that preserve persistent homology","version":1},"reference_index":147,"source":"pdf_text","source_observed_at":"2026-06-29T11:45:53.392594Z"},"links":{"cited_paper":"/paper/2312.07563","citing_paper":"/paper/2605.28927"},"observation_digest":"sha256:3d11ea272db3cbaebd93dec9120007b6a5d4a1e3dbc1f79284cf6cb9c758edeb","observation_id":"675060f2-45cc-4cae-aa49-b920b490c2e3","resolution":{"observed_at":"2026-06-29T11:53:24.405931Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2312.07563/citation-record","integrity":"/paper/2312.07563/integrity","json":"/paper/2312.07563/citation-record.json","paper":"/paper/2312.07563"},"outbound":[],"paper":{"arxiv_id":"2312.07563","last_updated":"2024-12-11T01:22:57Z","latest_version":2,"primary_category":"math.AT","snapshot_observed_at":"2026-08-15T20:11:13.010021Z","submitted_at":"2023-12-09T20:45:17Z","title":"Persistent Topological Laplacians -- a Survey"},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2312.07563."}