{"as_of":"2026-08-16T15:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cf46d44eb88052b9477f6834bc5cffb364b440072a5cb56a6313984a012f9919","coverage":[{"denominator":15,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":15,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:05:31.530929Z","state":"measured"},{"denominator":15,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":15,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.02102/citation-record","integrity":"/paper/1908.02102/integrity","json":"/paper/1908.02102/citation-record.json","paper":"/paper/1908.02102"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:05:31.787692Z","title":"Batavia, M","venue":null,"work_id":"196f1f67-29c1-48fb-af8c-2176e003af51","year":null},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.451034Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:f2ccdd930b180df3e65ae88bbb470cf3e2f93d947a2904ec8fa49f91fe132034","observation_id":"2bd0f4a7-59bb-498a-ace1-8701426dbb01","resolution":{"observed_at":"2026-08-14T15:05:31.792620Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:05:31.770578Z","title":"Bhargava, On the Conway–Schneeberger Fifteen Theorem , Contemp","venue":null,"work_id":"6a43c14c-4787-4b78-9751-d0a80c7ec239","year":2000},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.460169Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:473d85d5c511f6384ccff83d22b6234a8918e423ed063f7a59dea09d5370aeda","observation_id":"0205a000-30ed-4c5a-b859-0af055291f04","resolution":{"observed_at":"2026-08-14T15:05:31.776886Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:05:31.755356Z","title":"Bhargava and J","venue":null,"work_id":"a6ed8971-c5ee-4cac-bf80-3fef076c0e6e","year":null},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.465214Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:92c96196f6db1c1605e95788dbf02115a9717c03f3ceec4aada4e219d8afa0fc","observation_id":"a5778bb0-3938-4915-a14b-410a0de6f704","resolution":{"observed_at":"2026-08-14T15:05:31.759880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:05:31.740886Z","title":"Bosma and B","venue":null,"work_id":"89e478bf-9ebd-44ad-b199-9ed448f7138e","year":2013},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.471065Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:c4f398afbe0cea9c7d6f10de794a27430142fa69fe710703e8335a514655ddd2","observation_id":"e72c0f8e-fdb2-4e6c-8d95-f7e61074b68a","resolution":{"observed_at":"2026-08-14T15:05:31.745290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:05:31.726724Z","title":"Cauchy, D´ emonstration du th´ eor` em g´ en´ eral de Fermat sur les nombres polygones, M´ em","venue":null,"work_id":"771a603d-cc46-492d-bf50-fe22c09c66fc","year":1905},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.476818Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:4520e8833e312f95a8a3c6115d82e2c481d58f273b9ff16cd6b3161818209271","observation_id":"ad96b33f-bdad-440b-90d2-3da2822cd26c","resolution":{"observed_at":"2026-08-14T15:05:31.730921Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:05:31.712215Z","title":null,"venue":null,"work_id":"9e76c4b2-c6ba-4f2a-b572-8f1be8a80f60","year":2000},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.482618Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:6352540643ba0b369c2a8281e8d0456e807c20dc0a2dfc40352cee13140d0db5","observation_id":"31691027-c284-41b9-a2ca-5c28b2151726","resolution":{"observed_at":"2026-08-14T15:05:31.716773Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:05:31.697222Z","title":null,"venue":null,"work_id":"57d861a2-df9a-4575-8951-291e9e7ad70a","year":1994},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.488265Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:cf92c862bbfd35bc0bbab6ae4cd1ca5fa8232e8eea11c1bc314ea35ae86a91d8","observation_id":"0215525e-6c74-46ac-b64e-542a3b2064b0","resolution":{"observed_at":"2026-08-14T15:05:31.701961Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:05:31.681743Z","title":"Ju, Universal sums of generalized pentagonal numbers , Ramanujan J","venue":null,"work_id":"3b3a1cc6-6888-4a86-a3b7-9d36dc1dc0a0","year":2020},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.493236Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:f04f6e9f8be1dfe3de8e900e7b6ff9b075fe7498fdc90867ae48e91bec6305bc","observation_id":"a3cbf1a0-0c47-4e7d-be22-70833a8806c9","resolution":{"observed_at":"2026-08-14T15:05:31.686662Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:05:31.666199Z","title":"Ju and B.-K","venue":null,"work_id":"7a38745c-cb2e-4480-b067-fe041869fa21","year":2018},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.499899Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:6aba287ccecff956ceb932a66cbbd845999e1edf110acbb4326067c4a61186cf","observation_id":"a33e5482-0d31-428f-bb1f-aa74cd9150c7","resolution":{"observed_at":"2026-08-14T15:05:31.671017Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/imrn/rnz003","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:05:31.564961Z","title":"Kane and J","venue":null,"work_id":"4d274fb2-43fb-4c4a-8961-74b774a3faf9","year":null},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.504664Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:4cbff201f0c134bbf4132072ab8bba5c6f00d470f15874d70a9dd5a287d13b7f","observation_id":"e4b2efd7-bcb6-405f-9df1-fea5b728d938","resolution":{"observed_at":"2026-08-14T15:05:31.570883Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:05:31.648854Z","title":null,"venue":null,"work_id":"d292e24d-141c-418e-a6b8-62e970c25d09","year":null},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.510168Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:1096bdd2ac8f1de59a77366a42fe65cbefba63025977ea0cecafb6b2ec5caa4a","observation_id":"e318abc8-cedd-48e6-b2ac-6c9934d5c8e6","resolution":{"observed_at":"2026-08-14T15:05:31.653844Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:05:31.632482Z","title":"Siegel, Indefinite quadratische Formen und Funktionentheorie, I , Math","venue":null,"work_id":"931b5c24-4aed-46b1-8f17-d57c69bea4da","year":1951},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.515699Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:fbf55dd0666e5e680fa2e61bb110c03805f0b0b7abad6d57c020d1ff4501992e","observation_id":"812f7af7-ebc2-418d-b673-1d33419ab75e","resolution":{"observed_at":"2026-08-14T15:05:31.637495Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:05:31.616555Z","title":"Siegel, Indefinite quadratische Formen und Funktionentheorie, II , Math","venue":null,"work_id":"b168e5fa-7ae1-4d5e-a44f-a45f14481609","year":1951},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.520854Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:5625d3992c9a126de1d4f8ae243b282a5164ea57dc9c336dc2bdf9d43f9f83e8","observation_id":"858001db-6e2e-4acf-a841-03b82a609a67","resolution":{"observed_at":"2026-08-14T15:05:31.621436Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:05:31.600547Z","title":"Sun, A result similar to Lagrange’s Theorem , J","venue":null,"work_id":"9aa98460-e0df-45db-8cb9-a844a9c3a00c","year":2016},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.526220Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:530d3d4aaacb426da64941ac4d3f81317f5c9853ee0d8e4c6cc3dd4294868650","observation_id":"73ac7923-144c-47e1-8084-36bcaa9a4b88","resolution":{"observed_at":"2026-08-14T15:05:31.605646Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:05:31.582922Z","title":"Weil, Sur la formule de Siegel dans la th´ eorie des groupes classiq ues, Acta","venue":null,"work_id":"c0be7568-f6fc-42b1-8904-8ab6065131c1","year":1965},"citing_paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers","version":4},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:05:31.530929Z"},"links":{"citing_paper":"/paper/1908.02102"},"observation_digest":"sha256:36731d91a7ca4deebe5d82c7a787cfc78691706fee3a88bbe5e455eb3d532910","observation_id":"7620c388-44fe-45d8-b47a-e5bcd43ca90a","resolution":{"observed_at":"2026-08-14T15:05:31.587963Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.02102","last_updated":"2020-05-08T15:18:54Z","latest_version":4,"primary_category":"math.NT","snapshot_observed_at":"2026-08-14T14:51:31.599266Z","submitted_at":"2019-08-06T12:17:33Z","title":"Fermat's polygonal number theorem for repeated generalized polygonal numbers"},"reference_resolution":{"displayed":15,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":1,"verified_fuzzy":11},"total_outbound_references":15},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:1908.02102."}