{"as_of":"2026-08-12T16:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8c7f9678fd60b22d7bf85ff459093c32eebbea680b09865157b166435b94099d","coverage":[{"denominator":5,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T18:25:42.979330Z","state":"measured"},{"denominator":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.18334/citation-record","integrity":"/paper/2607.18334/integrity","json":"/paper/2607.18334/citation-record.json","paper":"/paper/2607.18334"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:25:42.965181Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2607.18334","last_updated":"2026-07-19T17:33:48Z","snapshot_observed_at":"2026-08-12T12:59:09.335478Z","submitted_at":"2026-07-19T17:33:48Z","title":"Signed circulants at the Ramanujan bound","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-01T18:25:42.965181Z"},"links":{"citing_paper":"/paper/2607.18334"},"observation_digest":"sha256:0d2e452189abb736eb4a71b060b0886c37f84a4328e9904e2d60c56c285b3eb1","observation_id":"48d4d2e2-edd2-4bbe-8f72-b44abd1b1608","resolution":{"observed_at":"2026-08-01T18:25:42.965181Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:25:42.968923Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.18334","last_updated":"2026-07-19T17:33:48Z","snapshot_observed_at":"2026-08-12T12:59:09.335478Z","submitted_at":"2026-07-19T17:33:48Z","title":"Signed circulants at the Ramanujan bound","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-01T18:25:42.968923Z"},"links":{"citing_paper":"/paper/2607.18334"},"observation_digest":"sha256:dd7de92c4e699993d1c4ef78ba7cc25014707184053328e56bb6281c3fb70834","observation_id":"bd45d1ac-b55d-407a-8802-c67cf2d6fd6b","resolution":{"observed_at":"2026-08-01T18:25:42.968923Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:25:42.972401Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.18334","last_updated":"2026-07-19T17:33:48Z","snapshot_observed_at":"2026-08-12T12:59:09.335478Z","submitted_at":"2026-07-19T17:33:48Z","title":"Signed circulants at the Ramanujan bound","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-01T18:25:42.972401Z"},"links":{"citing_paper":"/paper/2607.18334"},"observation_digest":"sha256:053c2d426bac2b351af627ce75eed0afeaed62ef6f85d2ef5e7d84a39b5f64df","observation_id":"8707d963-79a1-4756-91a7-8ddd740bed3b","resolution":{"observed_at":"2026-08-01T18:25:42.972401Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T18:25:42.975343Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2607.18334","last_updated":"2026-07-19T17:33:48Z","snapshot_observed_at":"2026-08-12T12:59:09.335478Z","submitted_at":"2026-07-19T17:33:48Z","title":"Signed circulants at the Ramanujan bound","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-01T18:25:42.975343Z"},"links":{"citing_paper":"/paper/2607.18334"},"observation_digest":"sha256:34acf21f69d5cc340e116b6d1999adc53696442128ad1ea74c51351d40ce591e","observation_id":"e5da2396-c7f3-4192-b40a-2342be3ecc2d","resolution":{"observed_at":"2026-08-01T18:25:42.975343Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.28797","last_updated":"2026-07-09T15:55:53Z","snapshot_observed_at":"2026-07-12T23:18:44.929809Z","submitted_at":"2026-06-27T08:09:09Z","title":"An Improved Upper Bound for the Bilu-Linial Conjecture via Interlacing Families","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2606.28797","snapshot_observed_at":"2026-08-01T18:25:42.979330Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18334","last_updated":"2026-07-19T17:33:48Z","snapshot_observed_at":"2026-08-12T12:59:09.335478Z","submitted_at":"2026-07-19T17:33:48Z","title":"Signed circulants at the Ramanujan bound","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T18:25:42.979330Z"},"links":{"cited_paper":"/paper/2606.28797","citing_paper":"/paper/2607.18334"},"observation_digest":"sha256:077ae7f6a7da93304b74ab7a5e2349f33a5b6c58d96a7580acab8eb303ebe9d5","observation_id":"28e7f388-5828-460e-9e0b-3e7cce084513","resolution":{"observed_at":"2026-08-01T18:25:42.979330Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.18334","last_updated":"2026-07-19T17:33:48Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-12T12:59:09.335478Z","submitted_at":"2026-07-19T17:33:48Z","title":"Signed circulants at the Ramanujan bound"},"reference_resolution":{"displayed":5,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":5},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 0 inbound Pith citation observations for arXiv:2607.18334."}