{"as_of":"2026-08-08T16:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d014c871f8c87cce9e4ed241a5d0fd35fe489ba132380390002c6ee15831d578","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:46:40.990222Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2506.17260/citation-record","integrity":"/paper/2506.17260/integrity","json":"/paper/2506.17260/citation-record.json","paper":"/paper/2506.17260"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:46:41.212903Z","title":"Calder\\' o n, ``A note on biquadratic forms'', Linear Algebra and Its Applications 7 (1973) 175-177","venue":null,"work_id":"6c034002-1da4-4e61-8075-b5953dc39c81","year":1973},"citing_paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials","version":4},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T05:46:40.931493Z"},"links":{"citing_paper":"/paper/2506.17260"},"observation_digest":"sha256:c697dcddb8967b2625a92e4662f21dc72788565eaace12bc918de1b7d37dd5ae","observation_id":"9b8258cb-a9ef-4697-ba68-de5557407c1a","resolution":{"observed_at":"2026-08-07T05:46:41.218103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:46:41.199170Z","title":"Chesi, ``On the gap between positive polynomials and SOS of polynomials'', IEEE Trans","venue":null,"work_id":"f297b3bc-f966-42a2-be13-73439da25eb4","year":2007},"citing_paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials","version":4},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T05:46:40.936434Z"},"links":{"citing_paper":"/paper/2506.17260"},"observation_digest":"sha256:c91126dd5c0f2970ee63575b0589017d561dd83a454ae7e0455954f9c7cc5585","observation_id":"c78bfd2b-2c31-41c9-935a-d6812a296898","resolution":{"observed_at":"2026-08-07T05:46:41.203755Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:46:41.185469Z","title":"Choi, ``Positive semidefinite biquadratic forms'', Linear Algebra and Its Applications 12 (1975) 95-100","venue":null,"work_id":"5500ffcb-8a90-448b-88d2-1761c8cfe5d6","year":1975},"citing_paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials","version":4},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T05:46:40.940953Z"},"links":{"citing_paper":"/paper/2506.17260"},"observation_digest":"sha256:021360fa130423b666cdbcd485a04df7a31e10c9dabc4a0281af616fab46b6e4","observation_id":"43296ebe-2a9a-4995-b6e3-6d35a925eded","resolution":{"observed_at":"2026-08-07T05:46:41.189868Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:46:41.171652Z","title":"Choi and T.-Y","venue":null,"work_id":"43a360fe-7c10-48d1-bd61-afa67e254abd","year":1977},"citing_paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials","version":4},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T05:46:40.945465Z"},"links":{"citing_paper":"/paper/2506.17260"},"observation_digest":"sha256:c47b725dd5ed5c82dfb47f0718925e258e4d8ecf650a187029b64776ab16b19d","observation_id":"021b3a77-bc22-437e-88dc-1648b63ca91b","resolution":{"observed_at":"2026-08-07T05:46:41.176149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.16176","last_updated":"2025-03-27T04:58:09Z","snapshot_observed_at":"2026-08-07T16:49:05.563481Z","submitted_at":"2025-03-20T14:18:11Z","title":"Nonnegative Biquadratic Tensors","version":2},"cited_work":{"arxiv_id":"2503.16176","doi":null,"metadata_source":"pith","pith_arxiv_id":"2503.16176","snapshot_observed_at":"2026-08-07T05:46:41.046236Z","title":"Nonnegative Biquadratic Tensors","venue":"math.NA","work_id":"766f0e3d-a7dd-46d4-8d23-b007bdfcb90c","year":2025},"citing_paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials","version":4},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T05:46:40.950380Z"},"links":{"cited_paper":"/paper/2503.16176","citing_paper":"/paper/2506.17260"},"observation_digest":"sha256:6362f259c8b3d56490ac99f7f65460af47834a3ef6e275e2496a62d08de3667f","observation_id":"b750b579-155c-4523-a374-d8cf243bd05b","resolution":{"observed_at":"2026-08-07T05:46:41.050742Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:46:41.157785Z","title":"Fidalgo and A","venue":null,"work_id":"91f61943-db68-4ba8-b217-cd83fdc09392","year":2011},"citing_paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials","version":4},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T05:46:40.955501Z"},"links":{"citing_paper":"/paper/2506.17260"},"observation_digest":"sha256:e02ec9dfa8d95dad343ef966b01e05f91b9893d0b5fa6b1cdd2e58bfc99a5687","observation_id":"5b3867af-ff27-4a13-b16a-04df1f950f09","resolution":{"observed_at":"2026-08-07T05:46:41.162122Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:46:41.144419Z","title":null,"venue":null,"work_id":"f0fe7bd5-092b-4512-951c-ba873f419221","year":2017},"citing_paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials","version":4},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T05:46:40.960177Z"},"links":{"citing_paper":"/paper/2506.17260"},"observation_digest":"sha256:fb09dd59a1e5010f083a8af60accd6b41c903755a23ee89605c1fef1d87fb57f","observation_id":"aeef8811-b550-4305-9073-57d77c455a10","resolution":{"observed_at":"2026-08-07T05:46:41.148761Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:46:41.130802Z","title":"Hilbert, ``\\\" U ber die darstellung definiter formen als summe von formenquadraten'', Mathematische Annalen 32 (1888) 342-350","venue":null,"work_id":"643de7f9-b2ee-4994-95a0-3a40bc78584b","year":null},"citing_paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials","version":4},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T05:46:40.964306Z"},"links":{"citing_paper":"/paper/2506.17260"},"observation_digest":"sha256:cc4fcf8cf2f3125c2cdde5c263dcbb99dd4411867b7bb9ad7666591bb479c159","observation_id":"c9d22285-df02-4da3-84d3-b90550817f4d","resolution":{"observed_at":"2026-08-07T05:46:41.135289Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:46:41.117002Z","title":null,"venue":null,"work_id":"f562bf6d-4f10-4e86-bd14-00238e0fc321","year":2010},"citing_paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials","version":4},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T05:46:40.968721Z"},"links":{"citing_paper":"/paper/2506.17260"},"observation_digest":"sha256:e0a85445b5f98d5e5afea4f25ce83159fc2a9b260805e2dfbacf47163596db75","observation_id":"640d293f-7da2-42ba-8baa-8ef2d0530970","resolution":{"observed_at":"2026-08-07T05:46:41.121282Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:46:41.101636Z","title":"Motzkin, ``The arithmetic geometry inequality'', in: Proceedings of the Symposium , Wright-Patterson Air Force Base, Ohio, 1965, pp.205-224","venue":null,"work_id":"4423527a-4689-4fe8-99ad-4974d1539462","year":1965},"citing_paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials","version":4},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T05:46:40.973026Z"},"links":{"citing_paper":"/paper/2506.17260"},"observation_digest":"sha256:ea9ca24a9ec6b1b2f2ab00bb13bf335c2bff0f8929dc478b15de2abfbf4296d8","observation_id":"e95db256-bb29-4e7d-a844-28d3c2089650","resolution":{"observed_at":"2026-08-07T05:46:41.106648Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:46:41.088046Z","title":"An elementary proof of Hilbert’s theorem on ternary quartics","venue":null,"work_id":"de761f5a-a578-405b-9d99-b64e9cbf9a7b","year":2012},"citing_paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials","version":4},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T05:46:40.977321Z"},"links":{"citing_paper":"/paper/2506.17260"},"observation_digest":"sha256:defa64f933e534d069798dfd520eb504425adc3d96b8d6fb1538a0cdf1ecdd30","observation_id":"1c6b014c-a56a-4a5c-a7c4-adbcb477b461","resolution":{"observed_at":"2026-08-07T05:46:41.092436Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.06447","last_updated":"2025-03-02T08:35:43Z","snapshot_observed_at":"2026-08-08T15:22:20.529496Z","submitted_at":"2025-02-10T13:25:03Z","title":"Biquadratic Tensors: Eigenvalues and Structured Tensors","version":2},"cited_work":{"arxiv_id":"2502.06447","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.06447","snapshot_observed_at":"2026-08-07T05:46:41.023232Z","title":"Biquadratic Tensors: Eigenvalues and Structured Tensors","venue":"math.SP","work_id":"b99e5c20-5708-4109-8144-59ae8d3d4d48","year":2025},"citing_paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials","version":4},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T05:46:40.981612Z"},"links":{"cited_paper":"/paper/2502.06447","citing_paper":"/paper/2506.17260"},"observation_digest":"sha256:b79cd6779808b125b177b4be407ce5649309e6c327657a2241800a7692250126","observation_id":"29ed0212-e564-452a-8442-532fb6e71585","resolution":{"observed_at":"2026-08-07T05:46:41.030249Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:46:41.074253Z","title":null,"venue":null,"work_id":"31fd5454-2cc3-47e5-aab7-21ecbad235d6","year":2009},"citing_paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials","version":4},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T05:46:40.986205Z"},"links":{"citing_paper":"/paper/2506.17260"},"observation_digest":"sha256:994cb0b2217a4224fc6dc97fcba3f2288f19118ae13d7e53a439c7c38848b45f","observation_id":"7c36a55d-af4b-4421-b091-cbb5f129a925","resolution":{"observed_at":"2026-08-07T05:46:41.078981Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:46:41.060306Z","title":"Reznick, ``Extremal PSD forms with few terms'', Duke Mathematical Journal 45 (1978) 363-374","venue":null,"work_id":"8f2d01bd-4c97-4c7b-8d47-0af089a08b01","year":1978},"citing_paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials","version":4},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T05:46:40.990222Z"},"links":{"citing_paper":"/paper/2506.17260"},"observation_digest":"sha256:d7fe0d7de898ce8334ac42fc40df20d98bcac3734d96548748b9568192294378","observation_id":"2acdda8a-757d-4ab9-8a3d-74c147a1e6cf","resolution":{"observed_at":"2026-08-07T05:46:41.064746Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.17260","last_updated":"2025-07-17T10:58:28Z","latest_version":4,"primary_category":"math.OC","snapshot_observed_at":"2026-08-07T05:24:13.823160Z","submitted_at":"2025-06-09T13:35:43Z","title":"Postive Semidefinite and Sum of Squares Biquadratic Polynomials"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":2,"verified_fuzzy":9},"total_outbound_references":14},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2506.17260."}