{"as_of":"2026-08-08T12:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d7c98b5ce22efbcecba7479203d4df3d0d201d9dbece917dc6bb59d17120972a","coverage":[{"denominator":29,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":29,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-24T10:18:53.980852Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"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":"2026-05-24T10:18:53.980852Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-05-24T10:19:18.820623Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"cited_work":{"arxiv_id":"2212.03142","doi":null,"metadata_source":"pith","pith_arxiv_id":"2212.03142","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","venue":"math.CO","work_id":"4a9df401-3fc1-4bd7-a476-26d084d908de","year":2022},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"cited_paper":"/paper/2212.03142","citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:6c746bdbb4b7d0f3d39327be5252778b5ac2d36855b0d336ea3bde6781b97553","observation_id":"0deb827b-2453-4c66-8204-eee0d672db53","resolution":{"observed_at":"2026-05-24T10:19:18.822551Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2212.03142/citation-record","integrity":"/paper/2212.03142/integrity","json":"/paper/2212.03142/citation-record.json","paper":"/paper/2212.03142"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"cited_work":{"arxiv_id":"2212.03142","doi":null,"metadata_source":"pith","pith_arxiv_id":"2212.03142","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","venue":"math.CO","work_id":"4a9df401-3fc1-4bd7-a476-26d084d908de","year":2022},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"cited_paper":"/paper/2212.03142","citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:6c746bdbb4b7d0f3d39327be5252778b5ac2d36855b0d336ea3bde6781b97553","observation_id":"0deb827b-2453-4c66-8204-eee0d672db53","resolution":{"observed_at":"2026-05-24T10:19:18.822551Z","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":"2026-06-05T21:23:00.469572Z","title":"Dans un premier temps, on va rappeler l’ensemble des définitions et des notations dont on aura besoin dans la suite","venue":null,"work_id":"00ea8a59-36c9-46fd-96d8-731cc37c4fd7","year":null},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:4dfd1b49964e6a11401e1f029cc5466050c6f5be7ab34bbc4c03bc4e6d636fb0","observation_id":"a34d9ce9-e55e-4dfd-84d7-536c3d4eeead","resolution":{"observed_at":"2026-05-24T10:19:19.085226Z","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":"2026-06-05T21:23:00.469572Z","title":"On en profitera également pour fournir quelques éléments plus généraux sur les solutions de l’équation (E)","venue":null,"work_id":"88d61c5d-f744-4771-b67b-68fc1bc1bd41","year":null},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:6657b21394af4130b133b384c9fff691b7533b52ef2457fc7a2b3e78739910c6","observation_id":"623c0eb8-ae40-48eb-ba62-037de21e76a9","resolution":{"observed_at":"2026-05-24T10:19:19.124053Z","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":"2026-06-05T21:23:00.469572Z","title":"Chacun de ces produits étant multiplié par (-1) puissance le nombre de paires supprimées","venue":null,"work_id":"7e1b53e8-c6ba-48e6-8353-bbdc1350f2d3","year":null},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:bb29401c72cc6d1313901d364cc6d9d53f5d166dc6d4a0d21d942b41c32cbdf7","observation_id":"36c201a9-ff56-4108-a682-6bfe2094f167","resolution":{"observed_at":"2026-05-24T10:19:19.118240Z","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":"2026-06-05T21:23:00.469572Z","title":"Donc, Kn(a1,...,a n)∈ R− Q","venue":null,"work_id":"6595c99b-7fd5-4646-92bc-c49c66abbaa5","year":null},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:a48c63e1924abb6b5265c4abe8af1e424daede52ad8b7a7da341d472b7eabca6","observation_id":"20a4c5af-9822-46be-96d1-6660d68aef4c","resolution":{"observed_at":"2026-05-24T10:19:19.080073Z","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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f1871b7e-fed7-4b29-bc86-39ab4cca85ad","year":null},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:130f9c7383e3ca1a30114bed30c77e00157bc764756be7d6091b3e99c862d6b4","observation_id":"445e2041-fbea-4284-b1e6-5edb6dc2c255","resolution":{"observed_at":"2026-05-24T10:19:19.103833Z","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":"2026-06-05T21:23:00.469572Z","title":"Preuve du théorème 2.7.Soit w =a +ib∈ C avec|ab|≥ 1","venue":null,"work_id":"3f904c8f-9efa-4858-981c-f4f16b8d8b42","year":null},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:abfe51c6fcb993a620188eabd8626f94ec08413614e80698a6f98c7af51215cf","observation_id":"5d1acd66-bc0c-4cad-82a2-b6bbaa374c55","resolution":{"observed_at":"2026-05-24T10:19:19.100964Z","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":"2026-06-05T21:23:00.469572Z","title":"Calculons le module pour ces deux possibilités","venue":null,"work_id":"31211bf3-2ce7-49dd-81ed-b1ad83d20b15","year":null},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:7240a81029d86705140dc47c5b1aabe636a0cd085f42b49d3b518901f9ea5048","observation_id":"1250110a-e7b0-4ee6-b553-b6f29c92b267","resolution":{"observed_at":"2026-05-24T10:19:19.098306Z","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":"2026-06-05T21:23:00.469572Z","title":"Bergeron, C","venue":null,"work_id":"f7e15523-e298-422d-a024-d75f004887bd","year":2010},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:49d14b4344722d8142f78c04469b72e1e4be69f4e4598a3aa3a4cc44154afc51","observation_id":"8e24cd92-10ca-43e1-b421-5010d90399fb","resolution":{"observed_at":"2026-05-24T10:19:19.087629Z","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":"2026-06-05T21:23:00.469572Z","title":"Cantor,Sur une propriété du système de tous les nombres algébriques réels, Acta Mathemetica, Vol","venue":null,"work_id":"fe4e3303-0b9f-44cd-9823-43ac10aca183","year":null},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:cd9afad1a98c8e0b50697933dc6411311fbfdedfe2daeef0d75ac7854a5161d5","observation_id":"ae8d9a15-eb23-4bb5-86d5-dbaa6473d73b","resolution":{"observed_at":"2026-05-24T10:19:19.112082Z","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":"2026-06-05T21:23:00.469572Z","title":"Conley, V","venue":null,"work_id":"22a92ebb-25cd-48d4-8ea7-dc4014dfdc9e","year":2018},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:bc253c2a1a2294369025db50fc5f24edeca79cee93af5fdc9d781ac24f0d07ee","observation_id":"af9e85b3-9ece-4d1c-ba51-d4463afa32fe","resolution":{"observed_at":"2026-05-24T10:19:19.095464Z","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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"cc573984-108a-440e-a03b-9aa95a046547","year":1971},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:cc164f0f92aee12135257170b602de1b58f7f6c2d4617fa881c73bcf00ff33d1","observation_id":"a2a6d1a9-6c15-4bb7-a848-9b0f7debcd5f","resolution":{"observed_at":"2026-05-24T10:19:19.115019Z","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":"2026-06-05T21:23:00.469572Z","title":"Cuntz,A combinatorial model for tame frieze patterns, Munster J","venue":null,"work_id":"24013bef-90f2-46f9-a94f-57596e30f0b0","year":2019},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:b4cf96a20ae3681dad428e0a4d97915372184bcb89a1a4b45a2923b77824ea1a","observation_id":"66ba8cb8-b494-494d-830f-55c87365e5be","resolution":{"observed_at":"2026-05-24T10:19:19.126616Z","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":"2026-06-05T21:23:00.469572Z","title":"Cuntz, T","venue":null,"work_id":"b86aca19-0c61-4da1-894d-a2c470a79530","year":2019},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:621b39cdf679da8771b2264206b027af692f42dcd1d3d19ef5ad3fd06fef548a","observation_id":"f5ee829e-06b1-4db4-b493-dba13af1bb1e","resolution":{"observed_at":"2026-05-24T10:19:19.076540Z","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":"2026-06-05T21:23:00.469572Z","title":"Dumas,Sur quelques cas d’irréductibilité des polynômes à coefficients rationnels, Journal de mathématiques pures et appliquées 6e série, tome 2, (1906), pp 191-258","venue":null,"work_id":"ed118a08-5b1a-424a-ab6b-9ec51002d08a","year":1906},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:57cab111d28d36fa4ebea8f3ff9cde54d12f77c96eab1b6119e12eb1a1758336","observation_id":"df21a9ed-b669-45fa-955d-a956a5311274","resolution":{"observed_at":"2026-05-24T10:19:19.073796Z","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":"2026-06-05T21:23:00.469572Z","title":"Gozard,Théorie de Galois - niveau L3-M1 - 2e édition, Ellipses","venue":null,"work_id":"b6cf5448-8a05-469a-93d2-11a41a350696","year":2009},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:a6f385c6889742bc0a9a113326eddd43201c274c7627b02aac7816e874f9ad94","observation_id":"057b6fff-77d0-4a00-a7fb-0765ea5bea13","resolution":{"observed_at":"2026-05-24T10:19:19.089919Z","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":"10.5802/ambp.398","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Mabilat,Combinatoire des sous-groupes de congruence du groupe modulaire, Annales Mathématiques Blaise Pascal, Vol","venue":"Annales mathématiques Blaise Pascal","work_id":"e768021a-297d-4ee2-a046-37b2304d3124","year":2021},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:f1301c21fb185a71571b7110d794ae2633d436fe5d86212c3cf75a77bd3e249d","observation_id":"c843d360-9c10-4c5a-9a40-c2219a52bd44","resolution":{"observed_at":"2026-05-24T10:19:18.544240Z","resolver_source":"doi","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":"10.7146/math.scand.a-128972","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Mabilat, λ-quiddité sur Z[α] avec α transcendant, Mathematica Scandinavica, Vol","venue":"MATHEMATICA SCANDINAVICA","work_id":"9e882291-6bc9-45d5-bb82-090e82654f79","year":2022},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:985ddabcfdabdebb53495f5b4594606e01e94b6d04a2fdf59ce0002fc00abb11","observation_id":"42977985-c1ae-4b2c-8323-1947b1e60904","resolution":{"observed_at":"2026-05-24T10:19:18.561065Z","resolver_source":"doi","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":"10.5802/ambp.404","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Mabilat, Combinatoire des sous-groupes de congruence du groupe modulaire II","venue":"Annales mathématiques Blaise Pascal","work_id":"c70647ff-3b3b-445b-b3cf-a7b328d3f732","year":2021},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:1863382b0f1ff2791765995b2b7ea1157056424fd294bdf6de05a4bee7d77583","observation_id":"d2702444-cc7e-4efc-8a1f-928ca85ff420","resolution":{"observed_at":"2026-05-24T10:19:18.567277Z","resolver_source":"doi","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":{"arxiv_id":"2112.10410","last_updated":"2021-12-20T09:18:17Z","snapshot_observed_at":"2026-07-06T12:20:32.603715Z","submitted_at":"2021-12-20T09:18:17Z","title":"Entiers monomialement irr{\\'e}ductibles","version":1},"cited_work":{"arxiv_id":"2112.10410","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2112.10410","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Mabilat,Entiers monomialement irréductibles, hal-03487145","venue":null,"work_id":"8f11b38e-8c96-4526-8c75-68c2721eefda","year":null},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"cited_paper":"/paper/2112.10410","citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:55ae46f42130b93fdd9eeffc766d0098f42d02b0ddd1d45b1aa1f9911e4c3e18","observation_id":"f057f460-cfd7-4211-9fb7-b1bc9c0d1e61","resolution":{"observed_at":"2026-05-24T10:19:18.826750Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2202.07279","last_updated":"2023-09-06T08:16:16Z","snapshot_observed_at":"2026-07-06T12:37:55.156832Z","submitted_at":"2022-02-15T09:41:42Z","title":"Solutions monomiales minimales irr\\'eductibles dans $SL_{2}(\\mathbb{Z}/p^{n}\\mathbb{Z})$","version":2},"cited_work":{"arxiv_id":"2202.07279","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2202.07279","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Mabilat,Solutions monomiales minimales irréductibles dansSL2(Z/pnZ), hal-03573421","venue":null,"work_id":"2d2f3b0e-95bf-48dc-af92-390e050c0abe","year":null},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"cited_paper":"/paper/2202.07279","citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:5580b9eef36c90e78fd8f7bda8488fdfea3c7612792ade151ef34a9457393873","observation_id":"7d51ce60-ca25-487e-98c2-70524ec520e1","resolution":{"observed_at":"2026-05-24T10:19:18.817666Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2206.13949","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Mabilat,λ-quiddité sur certains sous-groupes monogènes deC, hal-03706941","venue":null,"work_id":"6766ef05-394f-436d-b565-f0d478c4b954","year":null},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:d9d33880c31d01cda73262ead1e8f785bd98bb3a181ff7232e7967cd0fab922b","observation_id":"c50c7760-116e-4ad8-9fea-0d72d5e7932f","resolution":{"observed_at":"2026-05-24T10:19:18.813187Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Morier-Genoud,Coxeter’s frieze patterns at the crossroad of algebra, geometry and combinatorics, Bull","venue":null,"work_id":"2ee5758e-7191-48e7-8585-f2ab53e0d719","year":2015},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:7bf06848ce4da3a43026f866a16bc483e396bae2ded21ca3f880c6f6cd0bba1b","observation_id":"097d94d0-323a-4c57-ab6b-aee697e7cca3","resolution":{"observed_at":"2026-05-24T10:19:19.109278Z","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":"2026-06-05T21:23:00.469572Z","title":"Ovsienko, Partitions of unity inSL(2, Z), negative continued fractions, and dissections of polygons,Res","venue":null,"work_id":"0dc9d929-a728-4389-bb81-662fced21116","year":2018},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:5d2c11c5b21de5618c3981a1df80bd567771267543d225e0d94dffb78305ecaa","observation_id":"f830e1cf-3414-4e24-8260-669e48c05187","resolution":{"observed_at":"2026-05-24T10:19:19.082618Z","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":"2026-06-05T21:23:00.469572Z","title":"Rouché,Mémoire sur la série de Lagrange, J","venue":null,"work_id":"f8b7616c-3459-4c1c-a60a-e928a2a453da","year":null},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:5cef191cdd5ee3f874c6b33fc21ac972eb972bd8c7762bf5d1561f344e4aadd9","observation_id":"cb562cf4-c923-47be-af23-d4bbbe8a66d6","resolution":{"observed_at":"2026-05-24T10:19:19.106439Z","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":"2026-06-05T21:23:00.469572Z","title":"Sturm, Mémoire sur la résolution des équations numériques, Mémoires présentés par divers Savants étrangers à l’Acad","venue":null,"work_id":"c4811e98-37f5-45db-9fbe-175d4c16137e","year":null},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:f0a57474ce0ac79062b824aa2f4d32bc5c60096f02713133175981114eb63544","observation_id":"1639dd85-816c-438e-abef-b40aacf9119d","resolution":{"observed_at":"2026-05-24T10:19:19.121358Z","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":"2026-06-05T21:23:00.469572Z","title":"Tauvel,Analyse complexe pour la Licence 3, Dunod","venue":null,"work_id":"ee3ae2ed-3829-44af-9040-83e09500a593","year":2020},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:8cfb94acd4e12d360c56a6d0b414737018573acbbda1b0bd14bf19a512e3cd98","observation_id":"b331b068-a213-4adc-b942-a3eede86a7d8","resolution":{"observed_at":"2026-05-24T10:19:19.067977Z","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":"2026-06-05T21:23:00.469572Z","title":"Weber, M","venue":null,"work_id":"c8bdefc6-0843-40ab-ba44-7588a2d0be1d","year":2019},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:5868c5a640736d93d4e3aa6f3855c0e3041029475174dcb540fdc0b12f979a72","observation_id":"7f9980a6-7dd9-4c7c-9b4e-bef0283a11f2","resolution":{"observed_at":"2026-05-24T10:19:19.070663Z","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":"2026-06-05T21:23:00.469572Z","title":"Zhao,Ring And Field Theory, World Scientific Publishing Co","venue":null,"work_id":"c34ba0fc-2d54-40c2-870c-f7a007d1b9b3","year":2022},"citing_paper":{"arxiv_id":"2212.03142","last_updated":"2026-04-14T12:05:40Z","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-24T10:18:53.980852Z"},"links":{"citing_paper":"/paper/2212.03142"},"observation_digest":"sha256:3c707276048f589b18adef2b7d46df9f61da8723c51ad989e300df43a44f3a5b","observation_id":"ae012210-88aa-4982-acfb-c77ce8e7e425","resolution":{"observed_at":"2026-05-24T10:19:19.092780Z","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":"2212.03142","last_updated":"2026-04-14T12:05:40Z","latest_version":3,"primary_category":"math.CO","snapshot_observed_at":"2026-07-06T14:27:30.805485Z","submitted_at":"2022-12-06T17:11:04Z","title":"$\\lambda$-quiddity and subgroups generated by an algebraic number"},"reference_resolution":{"displayed":29,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":7,"verified_fuzzy":20},"total_outbound_references":29},"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 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2212.03142."}