{"as_of":"2026-08-19T09:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cf57e0c85bd2c6bc45ac40b58a66af07751b5780137bc847385cfdd9caf7e09f","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T05:05:30.642167Z","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":"2026-08-07T05:20:38.541783Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2110.04554","last_updated":"2021-10-09T12:41:40Z","snapshot_observed_at":"2026-08-16T17:50:39.848734Z","submitted_at":"2021-10-09T12:41:40Z","title":"Characterizations of Forman curvature","version":1},"cited_work":{"arxiv_id":"2110.04554","doi":null,"metadata_source":"pith","pith_arxiv_id":"2110.04554","snapshot_observed_at":"2026-08-07T05:20:38.541783Z","title":"Characterizations of Forman curvature","venue":"math.DG","work_id":"6e632911-9a1d-4791-bf39-427a8d80d3f7","year":2021},"citing_paper":{"arxiv_id":"2506.19857","last_updated":"2025-06-09T21:34:43Z","snapshot_observed_at":"2026-08-14T16:52:14.368366Z","submitted_at":"2025-06-09T21:34:43Z","title":"Finding the Cores of Higher Graphs Using Geometric and Topological Means: A Survey","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-07T05:20:38.194617Z"},"links":{"cited_paper":"/paper/2110.04554","citing_paper":"/paper/2506.19857"},"observation_digest":"sha256:97edf2205d05bde87dcb6d62371f3275fdab540f7b1e739d27b73a6f8f7d633a","observation_id":"5ea55b0c-6136-4620-8696-be0f5989c8d1","resolution":{"observed_at":"2026-08-07T05:20:38.545063Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2110.04554","last_updated":"2021-10-09T12:41:40Z","snapshot_observed_at":"2026-08-16T17:50:39.848734Z","submitted_at":"2021-10-09T12:41:40Z","title":"Characterizations of Forman curvature","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2110.04554","snapshot_observed_at":"2026-08-12T05:05:30.642167Z","title":"Jost and F","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.11170","last_updated":"2026-08-11T17:29:57Z","snapshot_observed_at":"2026-08-16T14:29:29.766047Z","submitted_at":"2026-08-11T17:29:57Z","title":"Eigenvalue growth of the discrete Hodge Laplacian across dimensions","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T05:05:30.642167Z"},"links":{"cited_paper":"/paper/2110.04554","citing_paper":"/paper/2608.11170"},"observation_digest":"sha256:1e51e26bf77aff23f135ad8268a6d103e0768f2a7bbca384d5728f08f65377c6","observation_id":"4fc10e83-7ab4-4c2a-9bd9-696c1f97b44b","resolution":{"observed_at":"2026-08-12T05:05:30.642167Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2110.04554/citation-record","integrity":"/paper/2110.04554/integrity","json":"/paper/2110.04554/citation-record.json","paper":"/paper/2110.04554"},"outbound":[],"paper":{"arxiv_id":"2110.04554","last_updated":"2021-10-09T12:41:40Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-08-16T17:50:39.848734Z","submitted_at":"2021-10-09T12:41:40Z","title":"Characterizations of Forman curvature"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2110.04554."}