{"as_of":"2026-08-08T12:27:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8b4ed61e66dbf7e09876c508b58ba7f07b2dcbe10b24c739a7871abaa9b57d48","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T20:50:19.749990Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-07T15:00:58.612556Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-12T00:36:13.753734Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"cited_work":{"arxiv_id":"2507.01898","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.01898","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"TheFrobeniusnumbercorrespondingtothesquaresofthree consecutive Fibonacci numbers: comparison of three algorithmic processes","venue":null,"work_id":"9c15bcf9-7474-4ed8-a9ff-91c18522f214","year":null},"citing_paper":{"arxiv_id":"2604.25653","last_updated":"2026-06-17T19:02:23Z","snapshot_observed_at":"2026-08-05T22:53:55.167687Z","submitted_at":"2026-04-28T13:50:06Z","title":"On numerical semigroups with embedding dimension four","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-07T15:00:58.612556Z"},"links":{"cited_paper":"/paper/2507.01898","citing_paper":"/paper/2604.25653"},"observation_digest":"sha256:5af585b601ad78d6550aa0b3ed19ddbdeda4415606fafdc61895205e8bfc7f61","observation_id":"4546b9d0-0750-4af8-b641-cbd99ecaaf37","resolution":{"observed_at":"2026-05-12T00:36:13.764733Z","resolver_source":"arxiv_id","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"}}],"links":{"evidence":"/evidence","html":"/paper/2507.01898/citation-record","integrity":"/paper/2507.01898/integrity","json":"/paper/2507.01898/citation-record.json","paper":"/paper/2507.01898"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:50:23.959884Z","title":"Ap´ ery, Sur les branches superlin´ eaires des courbes alg´ ebriques,C","venue":null,"work_id":"29fffea5-c538-4246-96df-593d051a3107","year":1946},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:18.251724Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:a8ce2a7e9a24e5c78cf05d962c39cabd062b055a38255b2cbdfcc07523051b5e","observation_id":"5c578bbf-4f9f-4e71-9cb1-7dffccca2e78","resolution":{"observed_at":"2026-08-06T20:50:24.015636Z","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":"2026-08-06T20:50:23.794787Z","title":"Barucci, D","venue":null,"work_id":"d557de49-43b4-4137-8e13-8b550de0de24","year":1997},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:18.293209Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:19e289b93a5508760f7993cdad100f44ac5e8f70b9dc7d943b3f1652dc711da6","observation_id":"a07c246a-5778-4623-8078-07738c2aca0f","resolution":{"observed_at":"2026-08-06T20:50:23.873691Z","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":"2026-08-06T20:50:23.667121Z","title":"Brauer, On a problem of partitions, Amer","venue":null,"work_id":"a3947962-09c8-4ad0-b358-4e60b86aa29e","year":1942},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:18.387712Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:3530097c3f45b2e631edb771dc1769652963a9d38c2ca0b93841b152424a4344","observation_id":"9011246f-89cd-4d46-b14c-44d0be38317e","resolution":{"observed_at":"2026-08-06T20:50:23.746783Z","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":"2026-08-06T20:50:23.496349Z","title":"Brauer and J","venue":null,"work_id":"490e7a81-c0f2-432b-b004-e12cbe8dac48","year":1962},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:18.484423Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:b29a8508ebd8a2b85310a51d099273282267d9d93895065b48d33918348d9b05","observation_id":"00075367-a0e8-4866-8d75-ff2130e0ee8b","resolution":{"observed_at":"2026-08-06T20:50:23.607367Z","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":"2026-08-06T20:50:23.360417Z","title":"Curtis, On formulas for the Frobenius number of a numerical semigroup, Math","venue":null,"work_id":"a25cb6bf-b706-4b19-b268-66868fa4865d","year":1990},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:18.566130Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:03427157cac999cb54c48b71f2e39625ae4c0daf292c2c3ff9d97f5d657c7a40","observation_id":"d9c877c8-d1ff-4bc8-9323-cab82e1a4097","resolution":{"observed_at":"2026-08-06T20:50:23.433370Z","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":"2026-08-06T20:50:23.214288Z","title":"Fr¨ oberg, G","venue":null,"work_id":"352e792a-43b7-408e-85a1-8881521ce79e","year":1987},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:18.641187Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:e56f47f65ba43b16e813a22b2f0b8393a3e1d34f1fcc4aafe3cb3ca7c6007134","observation_id":"a2b8baf6-9cef-4148-94f5-0de87b9c8dd6","resolution":{"observed_at":"2026-08-06T20:50:23.280797Z","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":"2026-08-06T20:50:23.083836Z","title":"Greenberg, Solution to a Diophantine equation for nonnegative integers, J","venue":null,"work_id":"94438b15-d646-4332-bce0-31f70b3c58cb","year":1988},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:18.715947Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:007364217439fd2fc75a377d30b5f0277ed3d7ef367c3c5b36d21a3d36cb86f2","observation_id":"1d5dbc63-1921-40a4-ba33-39f69511a28c","resolution":{"observed_at":"2026-08-06T20:50:23.150238Z","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":"2026-08-06T20:50:22.974044Z","title":null,"venue":null,"work_id":"b7e113ec-8214-4632-a991-126dbf76cddf","year":1960},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:18.771134Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:3629e855f7213491cb4a7199cb750efb6dbdf40012c43d456c2a40206469e056","observation_id":"aea4c56d-5bf9-427e-80dd-e181ce2f29ab","resolution":{"observed_at":"2026-08-06T20:50:23.037687Z","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":"2026-08-06T20:50:22.824644Z","title":"Lepilov, J","venue":null,"work_id":"0235335b-0281-4e66-8f35-bb60f5aeeed0","year":2015},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:18.838577Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:641ed7dbf81a53fb4bd83acc9f991161b2ef44ace9e7fd2013b200b46aaae59a","observation_id":"b5038f00-f5ef-42f4-92bd-c4522b2d0642","resolution":{"observed_at":"2026-08-06T20:50:22.929252Z","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":"2026-08-06T20:50:22.692693Z","title":"Lewin, An algorithm for a solution of a problem of Frobenius, J","venue":null,"work_id":"f905fea8-9264-4f1b-b660-ac603dd709a0","year":1975},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:18.910694Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:879011be7f079253576a6508a9075834433ebb581d5c071f8f51e2df33ab9443","observation_id":"8e3c103d-ae9a-4f6e-8763-d5ef273ad408","resolution":{"observed_at":"2026-08-06T20:50:22.767455Z","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":"2026-08-06T20:50:22.562449Z","title":"Moscariello, On integers which are representable as sums of large squares, Int","venue":null,"work_id":"9020cbb7-273e-4216-83e0-a8c7ecef9089","year":2015},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:18.964094Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:d9915f3bb17ca196431dd85cb91d6eb5f5361a24dd5f310ad3f16bc347d12eca","observation_id":"069ad214-a064-4477-91e9-bcc1ad7c9b41","resolution":{"observed_at":"2026-08-06T20:50:22.642606Z","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":"2026-08-06T20:50:22.427720Z","title":null,"venue":null,"work_id":"45ad1df4-74b9-47ce-bbe2-08cd68e2dbb3","year":2008},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.012352Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:251cf4071806fecb70e88e6c8e18735689149d7817b6197b234f4ec6e6629133","observation_id":"b8facd19-8709-47dc-abd9-baacf8b1b8ab","resolution":{"observed_at":"2026-08-06T20:50:22.488025Z","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":"2026-08-06T20:50:22.316438Z","title":null,"venue":null,"work_id":"40a5b873-a95a-4f61-b4eb-ec02a815d34c","year":1996},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.075294Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:1231ea3c6e2acfe49d86ff7ec3d93e3ea03560291d805a825c838800c4d6013f","observation_id":"093de73e-6578-469f-8c8b-456843511333","resolution":{"observed_at":"2026-08-06T20:50:22.366792Z","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":"2026-08-06T20:50:22.193431Z","title":null,"venue":null,"work_id":"bba2b860-f235-43bf-ae39-549ff6f08c8c","year":2005},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.134657Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:6e3a9305a684822a7c3548e50ec6458657fa6e8a87c7a439a735d95385425803","observation_id":"ec41600c-9c4e-4723-a3dd-c13497e98f06","resolution":{"observed_at":"2026-08-06T20:50:22.226709Z","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":"2026-08-06T20:50:21.978004Z","title":null,"venue":null,"work_id":"63e83e83-79bd-4939-b20b-f0d59522c372","year":2009},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.183316Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:35704df722309dcf7443df5194f52ec008007b40ae02023b8ab950c26b5abee7","observation_id":"49dbd0ea-decb-4ff8-a61f-b7147a998ff0","resolution":{"observed_at":"2026-08-06T20:50:22.075254Z","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":"2026-08-06T20:50:21.754857Z","title":null,"venue":null,"work_id":"0d4280fa-b7f5-4b84-8747-44dea9e24f6f","year":1956},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.253722Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:3c8ecfbbb72c4a50dad935392504dee06e6f7349f0734870ae79538be8a3559b","observation_id":"5af4f403-ecc9-47ec-af63-0b18573073a9","resolution":{"observed_at":"2026-08-06T20:50:21.864800Z","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":"2026-08-06T20:50:21.541564Z","title":null,"venue":null,"work_id":"f397b0c8-fd77-482f-8567-2b68105fd01e","year":2018},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.294702Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:5cef965e52cae6ccbed6351d38ce1844754b84df29697e215f8972b05feaf52b","observation_id":"cb5eb3d5-736e-44d9-a79e-12d2f22226cf","resolution":{"observed_at":"2026-08-06T20:50:21.651210Z","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":"2026-08-06T20:50:21.331161Z","title":null,"venue":null,"work_id":"28422c46-9e11-4568-acca-d2e5211f53d4","year":1978},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.345895Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:87bc54b29d9612655b2c41589610c23febafc3ea68fb14b2baf7f07848824392","observation_id":"d5bb3833-c696-455f-abd7-917577a501e6","resolution":{"observed_at":"2026-08-06T20:50:21.462633Z","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":"2026-08-06T20:50:21.036205Z","title":null,"venue":null,"work_id":"86f2e0b0-ae44-4843-b6b7-503253ca4f75","year":2002},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.403193Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:99af67cf3ceac8d381851195da02243855f5ed3b9a791bc9b9a70da7a771b83e","observation_id":"cad6ecf9-9ce6-45d1-92de-e5edeb860fdd","resolution":{"observed_at":"2026-08-06T20:50:21.152266Z","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":"2026-08-06T20:50:20.819674Z","title":null,"venue":null,"work_id":"ebc2ed50-67fa-4a3f-b1b4-ddfd2244e139","year":2004},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.448006Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:905ceae9d1270643dcac0f21c56d6513c6efc711a0584ccf0e94abd3e8304200","observation_id":"311598ef-1bf3-4ef7-b468-1f37e07c9104","resolution":{"observed_at":"2026-08-06T20:50:20.923430Z","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":"2026-08-06T20:50:20.708724Z","title":null,"venue":null,"work_id":"8f40bc62-16b3-4906-a026-45748d09e6a2","year":2009},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.504820Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:186745259939504f8b1c31cd88dc1b3ec848bce4e36c9b85f05ad8e9360d007e","observation_id":"5d3e8835-e1cb-4160-bc48-1f9f445e5f66","resolution":{"observed_at":"2026-08-06T20:50:20.795021Z","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":"2026-08-06T20:50:20.524763Z","title":null,"venue":null,"work_id":"1d47e8d9-67c8-477b-8766-0b23d14e96f4","year":1977},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.547603Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:4c70c52f47f37fb17c0ad8ad7b1e7f95c15ddb45bdcf36eb0aac4ddd4f0c4fec","observation_id":"d3b913ea-18d7-4947-95b7-7b8c91d3b5b2","resolution":{"observed_at":"2026-08-06T20:50:20.605000Z","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":"record/9150323","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T20:50:19.904631Z","title":"Suhajda, The Frobenius number: exploring the world of non-representable integers , Bachelor’s Theses in Mathematical Sciences LUNFMA-4161-2024 (Lund University, 2024)","venue":null,"work_id":"42626d71-8ba8-4c78-b6f8-a3ef54dccb7b","year":2024},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.592553Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:d40f6da14492b2e2bac3bbfc416de82aba64111944eb309964630cd8bdc16cd8","observation_id":"b6c24d09-7ab9-48aa-ac31-42ed99282017","resolution":{"observed_at":"2026-08-06T20:50:19.949314Z","resolver_source":"raw_fallback","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":"2026-08-06T20:50:20.327933Z","title":"The Frobenius number for sequences of triangular and tetrahedral numbers","venue":null,"work_id":"d4d7bc20-03c6-4729-945e-ceaa96e3e8fb","year":2018},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.642297Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:713d7e88bdb320ebc2f4701c30a01380bacc1e9941a23ac0ac6351cbb4d671e9","observation_id":"7fef3d38-d16a-4c1e-9e5e-ce1c828472d8","resolution":{"observed_at":"2026-08-06T20:50:20.445944Z","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":"2026-08-06T20:50:20.137535Z","title":null,"venue":null,"work_id":"a27a13e5-1b15-4c41-a81c-290aca2e9da7","year":null},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.691719Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:a1963fc0dd8c7eb814702bc3565dadc73738cbb10610b4aad999442b3ec1c06d","observation_id":"f700bc0f-44cf-464f-a581-dfc4ab5e1b8b","resolution":{"observed_at":"2026-08-06T20:50:20.205940Z","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":"2026-08-06T20:50:20.010184Z","title":"Tripathi, Formulae for the Frobenius number in three variables, J","venue":null,"work_id":"74cb18af-4167-4a9d-9ae1-8aa233fff31b","year":2017},"citing_paper":{"arxiv_id":"2507.01898","last_updated":"2025-07-02T17:14:28Z","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T20:50:19.749990Z"},"links":{"citing_paper":"/paper/2507.01898"},"observation_digest":"sha256:cad3dddbc0600c428c5669b7eb8f08edf3f9fe5a7b2f4fdcdec9a771ce678ae2","observation_id":"0a56bdd9-38f2-4a70-9d52-0601e0df3adb","resolution":{"observed_at":"2026-08-06T20:50:20.067883Z","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":"2507.01898","last_updated":"2025-07-02T17:14:28Z","latest_version":1,"primary_category":"math.NT","snapshot_observed_at":"2026-08-06T20:38:04.832931Z","submitted_at":"2025-07-02T17:14:28Z","title":"The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":1,"verified_fuzzy":12},"total_outbound_references":26},"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 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2507.01898."}