{"as_of":"2026-08-05T21:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:242cb61fa36d3118d7f186e1dde17a9ad1e90261095bcdeb61ffd5ebf2838c80","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T21:59:29.534156Z","state":"measured"},{"denominator":36,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":36,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+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/2606.06987/citation-record","integrity":"/paper/2606.06987/integrity","json":"/paper/2606.06987/citation-record.json","paper":"/paper/2606.06987"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T21:59:29.534156Z","title":"Babai and B","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:41278e0569d0c743a29275e941879c1aa8a2de919ef7e80ffa192b4bca1b5a00","observation_id":"3e8127ac-abe5-43c8-9f3c-697319ec1909","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Byrne, D","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:0f6749f4f6b1c1541abf21190897b413e458133639b2df9877a0579c65262662","observation_id":"e1c18d2c-8114-4034-acf5-9082dbe12902","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:d2dc6dbbe975eaa4065f2e49c5e0eb89acc161b6f0b78c3ae6feaf336478dc84","observation_id":"36337fe1-1011-4631-b2d4-6f886a25dd99","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Chen, A.-M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:5d9b99ccdaae6dcd8d25d7f47ce76499d5f864061a50aee4a6e0b0792f4523e5","observation_id":"c802850e-78cf-4035-95e5-1a270523dd85","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:db6e75b7d19c3c907f47f889b6c7287430c487f32117eaee1a77aeddc7441fe5","observation_id":"5ede14dc-02b7-4ec6-9ef1-9706add14a0d","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:ffc2130657022d0ac1fcaec13dd58e7d9437cd6344dc56b90f883aefbf615525","observation_id":"c127739a-163d-4369-a4e4-212d23a8adea","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:5c3ff7d8b6ecde327dc920c77bbe9ba648cdd01cfb3f1b823a66eb152497903b","observation_id":"c70d461b-0a6f-4cc9-890b-02f48751ee71","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Dvořák and B","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:b4458a9aadbb975bf2d995835b86dff5d64e5ca943fbed20fa05b3b09221ca26","observation_id":"ba9c62d6-3cdb-48af-883c-edea5a885153","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Erdős and T","venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:8611b04bee9c10ef992dbd157a841ac9dbd42811d6d7718ea2fb60f7d818609d","observation_id":"40327088-7b71-47b8-bb22-8a9b1712ca28","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Füredi and M","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:6feee82fb1ddba7226dab14249be18874a5d694a00c826001e1e2b6bd60f85fa","observation_id":"1ce94e73-38de-45c6-9a12-7ae19079b525","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Li and B","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:8cff9c726798e3ca6e33ef710b0475bbd37eeb3bbd62997d07f0fb64a5b1dd5c","observation_id":"38dfb23b-567b-4583-9041-eef3fd9372cb","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Li and B","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:bb5e7b8ffedd15fa07f18b92c65a4fb16850b2becba1d0d1c0c9586bb190a9c7","observation_id":"60668811-1269-4b95-99ed-9c27933d7d8b","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Li and Y","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:eeed993ef6cc1f13cf9618a3f47ee4c8e2b17c3f672675edad24fa526ee588a8","observation_id":"d11cfa16-18cf-4495-ac55-c8266759b7b2","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:5c1c8ee2163739a08ad311b79b1c71f9ee5fc06752859b46291b70788dfd33cf","observation_id":"338772b8-a10f-4560-9f53-6fb2d17e358f","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2305.10290","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T01:17:30.376114Z","title":"Unsolved problems in spectral graph theory.Operations Research Transactions, 27(4):33–60, 2023","venue":null,"work_id":"8adcea50-4424-4ed6-ac2e-a648dd7ed141","year":2023},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:504c8b45f78e242f2adcb795cd639769e57e99272a2a44a490130b55af0427a6","observation_id":"b42f51d9-6b8f-4de8-b030-c5248cd8ad53","resolution":{"observed_at":"2026-07-02T17:37:14.392942Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":1907},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:c57852933120436cefb311887ed9a247b170ada03465e2c527a249d1d85c41c0","observation_id":"5e20a5dc-88e9-4e54-9f5b-733f64dd0ef9","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Nikiforov","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:db2fefab21eca55de7e8e7b2e07ea0ffaa5e9aeedbeb0a90c76c99baef6eea94","observation_id":"54e2024f-01d3-41d7-8918-185803edc4cf","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Nikiforov","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:609b85334c5f204a9e84698125a03b037caaac495f49d32fbdac157b3809d0c4","observation_id":"dcd81240-760b-40d9-a778-c47e528d26be","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Nikiforov","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:63daf8c6b0c549cdeb230d843e0cacbe7a5156d83155d21e3059b0bcd1d514fc","observation_id":"738207c1-fda1-495c-a864-1b7d78f28123","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Nikiforov","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:54e3005241c1c44d7ce3abe25f50740715d14f319a2a7b88eb4161a76688d870","observation_id":"601f9c1c-0f1e-4eae-a62c-95a568fe4649","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Nikiforov and X","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:22fc8a8a0cf2f7b8f29cc6fedd9f9e95ae7a5ac048a7579d34568dee166c51c2","observation_id":"c5ebf90e-d333-4086-9563-7e6fa72fba36","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:5a7d9b602f39694cf1aecb1260b2b418a29cd5bf8e9c855a76dac813277db65a","observation_id":"50aa4859-5eb3-4b3c-addf-d36244672279","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:fbcf29a997c95fe22fd16e650479e4f1e8953b41151234ca57942faad2690c20","observation_id":"6de68280-aad9-465c-9aea-d65f1bcf6885","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:e4cd1905927b83d9431aeff1978e392c89336433651be42a52e47e7220f309e3","observation_id":"00544833-d0e1-46fb-a504-6e40e684e4aa","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Tait and J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:3509560ab0db3a9a0f2ceaca3a95a7753ef7456fd209f091f2126ea278a0ea32","observation_id":"8f07deba-5165-431b-bfb6-3cd756e692c2","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":1941},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:c650843d979be7c6c04e68216fa26d4214060774d4bae4b8a79022212e4c55cc","observation_id":"55419f83-32cf-4d08-ae99-fc7ddd37364f","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Verstraëte","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:79906a2a6613e5162f3e78a317ef9e87bc0f6dac8aaedb91890e11c971b5c76b","observation_id":"1713ec2d-67ee-42aa-ba0c-a1d15b2c752a","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Verstraëte","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:607d5636a7c635e970955d4af277df74f658c726c1dc289657a247573341cc63","observation_id":"e93a07c3-0b1c-4383-81bf-8abafa64c64a","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:8b921b07c0922783c6f4dae02e20c4394e5c51f5e746a89402833c40313d8de8","observation_id":"98fded88-77e4-437c-ab22-d94696a15a07","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:a0e5f82e54a1bb4217ee40cd7a005032bb3eb7fb35e1bb8bbb4739d1e9946316","observation_id":"ea7caacc-9af1-43bb-ae8e-f5cdfb8ca4d9","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:1919d3a5d6011186b2c2b2684a8b646dcad04ab1ad2901aab07c228c0b559051","observation_id":"31151613-71d2-4c00-b614-4fc85e6deebc","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:1e18c8b3af4e17d810eaa4d6630b44fa014eec948710e3b49189f49d56bb5da3","observation_id":"c5e5110d-b9d4-424a-b785-d0cac2190168","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":"Spectralextremaofgraphs: Forbiddenhexagon.Discrete Math., 343(10):112028, 2020","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:621b1bb1ddd993381ba08716dd8d2e64b464a26298d0abede6d4d0fd20855f25","observation_id":"c636e78d-8d1d-407d-99c3-780dea5309b1","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:748cd55f90f8a702208d4508976f81cd0e465fd86726230ae98f67ab9f07b5ef","observation_id":"9466d972-40ea-42ca-8282-dd0822a182fd","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","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":"2026-06-27T21:59:29.534156Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:d1377789f2f57f6b63cbba4bac60708053a3568a5c2cce5963598aa2ef176311","observation_id":"af96b1bd-9b48-4329-bbbb-fd0539916f8b","resolution":{"observed_at":"2026-06-27T21:59:29.534156Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.14218","last_updated":"2025-03-14T10:50:01Z","snapshot_observed_at":"2026-07-06T20:25:22.313860Z","submitted_at":"2025-01-24T03:50:05Z","title":"Spectral skeletons and applications","version":2},"cited_work":{"arxiv_id":"2501.14218","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.14218","snapshot_observed_at":"2026-07-02T17:37:14.390882Z","title":null,"venue":null,"work_id":"b73fde10-b0d9-42a9-9646-bef58b4eca4d","year":2025},"citing_paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-27T21:59:29.534156Z"},"links":{"cited_paper":"/paper/2501.14218","citing_paper":"/paper/2606.06987"},"observation_digest":"sha256:f7fafe34046997c2f82cfe51b5609d05d38408a8d735efe1d29d7daeebb02bf5","observation_id":"9e45f463-4f7c-4289-b1a7-8809e1d2da2b","resolution":{"observed_at":"2026-07-02T17:37:14.392204Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2606.06987","last_updated":"2026-06-05T07:25:27Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-01T14:53:14.767174Z","submitted_at":"2026-06-05T07:25:27Z","title":"Tight Bound for Nikiforov's Spectral Even-Cycle Conjecture"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":34,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":36},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2606.06987."}