{"as_of":"2026-08-13T22:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:540ff2d6504848a16a381f17e9d58e4a79737d905a9b58bedde4d545e1ee439b","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":"2026-08-13T06:32:02.005865+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":"2026-08-11T04:27:57.877562Z","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":"2026-07-10T07:06:52.701187Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.03122","last_updated":"2024-08-06T11:53:30Z","snapshot_observed_at":"2026-08-12T23:07:51.445197Z","submitted_at":"2024-08-06T11:53:30Z","title":"Hypergraph Extensions of Spectral Tur\\'an Theorem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.03122","snapshot_observed_at":"2026-08-06T16:27:40.255533Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.13664","last_updated":"2025-07-18T05:19:38Z","snapshot_observed_at":"2026-08-10T00:15:43.166090Z","submitted_at":"2025-07-18T05:19:38Z","title":"Spectral Theory of Hypergraphs: A Survey","version":1},"reference_index":172,"source":"pdf_text","source_observed_at":"2026-08-06T16:27:40.255533Z"},"links":{"cited_paper":"/paper/2408.03122","citing_paper":"/paper/2507.13664"},"observation_digest":"sha256:f6394197497e191242b52954c5b1bd3d4404618dbed52fccb47f32dc59a220e8","observation_id":"142f6041-bfb1-4521-b704-91ceddaa6339","resolution":{"observed_at":"2026-08-06T16:27:40.255533Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.03122","last_updated":"2024-08-06T11:53:30Z","snapshot_observed_at":"2026-08-12T23:07:51.445197Z","submitted_at":"2024-08-06T11:53:30Z","title":"Hypergraph Extensions of Spectral Tur\\'an Theorem","version":1},"cited_work":{"arxiv_id":"2408.03122","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.03122","snapshot_observed_at":"2026-07-10T07:06:52.701187Z","title":"Hypergraph Extensions of Spectral Tur\\'an Theorem","venue":"math.CO","work_id":"a267223a-bd60-416e-bd54-639f4be98b53","year":2024},"citing_paper":{"arxiv_id":"2607.08468","last_updated":"2026-07-09T13:26:46Z","snapshot_observed_at":"2026-08-10T18:10:43.654577Z","submitted_at":"2026-07-09T13:26:46Z","title":"Spectral Radius Conditions for 3-Uniform Intersecting Families","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-07-10T06:59:35.593918Z"},"links":{"cited_paper":"/paper/2408.03122","citing_paper":"/paper/2607.08468"},"observation_digest":"sha256:88e55606e3c80add19398e1c51979cf7bd0a4f36a14cb6b4365a15df81ec21a4","observation_id":"296c61da-80ff-4806-93d7-4ce491b1c981","resolution":{"observed_at":"2026-07-10T07:06:52.702349Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.03122","last_updated":"2024-08-06T11:53:30Z","snapshot_observed_at":"2026-08-12T23:07:51.445197Z","submitted_at":"2024-08-06T11:53:30Z","title":"Hypergraph Extensions of Spectral Tur\\'an Theorem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.03122","snapshot_observed_at":"2026-07-30T19:09:24.362491Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.23560","last_updated":"2026-07-26T09:23:23Z","snapshot_observed_at":"2026-08-05T05:05:48.122517Z","submitted_at":"2026-07-26T09:23:23Z","title":"Tensor Spectral Stability for Uniform Hypergraphs with Bounded Matching Number","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-30T19:09:24.362491Z"},"links":{"cited_paper":"/paper/2408.03122","citing_paper":"/paper/2607.23560"},"observation_digest":"sha256:7a582e76d330615514e63d5be85b853914cc96eaf8b2635c27dce560b5154929","observation_id":"cbc6675a-fa5f-4ddb-b8cb-cc518b5372e4","resolution":{"observed_at":"2026-07-30T19:09:24.362491Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.03122","last_updated":"2024-08-06T11:53:30Z","snapshot_observed_at":"2026-08-12T23:07:51.445197Z","submitted_at":"2024-08-06T11:53:30Z","title":"Hypergraph Extensions of Spectral Tur\\'an Theorem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.03122","snapshot_observed_at":"2026-08-11T04:27:57.877562Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.06810","last_updated":"2026-08-10T02:59:02Z","snapshot_observed_at":"2026-08-13T22:27:56.670434Z","submitted_at":"2026-08-07T05:03:22Z","title":"A Spectral Hilton--Milner--Frankl Theorem for $t$-Intersecting Families","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T04:27:57.877562Z"},"links":{"cited_paper":"/paper/2408.03122","citing_paper":"/paper/2608.06810"},"observation_digest":"sha256:485eb54914ba4e21d2321faa42489b9e19e5fd90592c4be05451901ef4c0fbbb","observation_id":"da067fc7-48f5-41ed-b7cf-d8dc66b4545b","resolution":{"observed_at":"2026-08-11T04:27:57.877562Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2408.03122/citation-record","integrity":"/paper/2408.03122/integrity","json":"/paper/2408.03122/citation-record.json","paper":"/paper/2408.03122"},"outbound":[],"paper":{"arxiv_id":"2408.03122","last_updated":"2024-08-06T11:53:30Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-12T23:07:51.445197Z","submitted_at":"2024-08-06T11:53:30Z","title":"Hypergraph Extensions of Spectral Tur\\'an Theorem"},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2408.03122."}