{"as_of":"2026-08-16T07:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fc47e18278356c18990721a2c55c7f182ca56e2dc4d228a372dd93ea64108a6d","coverage":[{"denominator":19,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":19,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T14:46:00.711442Z","state":"measured"},{"denominator":19,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":19,"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/1908.02912/citation-record","integrity":"/paper/1908.02912/integrity","json":"/paper/1908.02912/citation-record.json","paper":"/paper/1908.02912"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T14:46:00.940632Z","title":"Assem, I","venue":null,"work_id":"aae3f696-1c9c-4641-8aec-335db2df31b3","year":2006},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.649759Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:300111053153d2d03743e0cc48f6643d513742380c66142008141308f775daa9","observation_id":"9dbe1af1-0702-4173-9be8-3a1c4fb56fb1","resolution":{"observed_at":"2026-08-14T14:46:00.944153Z","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":"2026-08-14T14:46:00.929768Z","title":"Assem and A","venue":null,"work_id":"cf299412-f482-48d3-a101-65b7b662ba14","year":1987},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.653744Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:e3817b06dd7a71e5920662f61de5f6523e3deb1b0e0a397c29d21dd90017d0eb","observation_id":"f18ecadf-4209-4e7f-918c-6ad50f2d9da2","resolution":{"observed_at":"2026-08-14T14:46:00.933474Z","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":"2026-08-14T14:46:00.918929Z","title":"Barot and O","venue":null,"work_id":"8b1c659e-d0de-4955-9e7c-ea3644f59592","year":2015},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.657537Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:a659a954cf5115f683485b0ca998ca35a92662835dac2a036acb0de393af5a59","observation_id":"6b31447b-7109-4fc3-9803-9a92d4c855bd","resolution":{"observed_at":"2026-08-14T14:46:00.922632Z","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":"2026-08-14T14:46:00.909216Z","title":"Bautista and M","venue":null,"work_id":"267a5cd3-dd5e-4816-b2d5-fcc960f6bf28","year":2006},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.661268Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:db01ec80ea200420061b70410923381be537c0b84d404ee4dad32f4a1ef34b9c","observation_id":"eea2d964-5f12-403b-9cf3-0b78eefec029","resolution":{"observed_at":"2026-08-14T14:46:00.912508Z","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":"2026-08-14T14:46:00.899811Z","title":null,"venue":null,"work_id":"865b6228-d39f-4cd7-bbf3-5c77d8ec5318","year":1987},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.665335Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:ebcbc88cdd98a28194f984e2e6aa48a39d60389bdb8d10355649de0797b4f7c1","observation_id":"bedc07ba-6748-4467-b14e-7e4f72527695","resolution":{"observed_at":"2026-08-14T14:46:00.902672Z","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":"2026-08-14T14:46:00.889617Z","title":null,"venue":null,"work_id":"3bb272d9-d7eb-4c60-9834-4bdca5f4ea33","year":2007},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.668984Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:051dca7989e453709d0ed3280519fa077fc81a137cb77aea0dfa681cc99c05ec","observation_id":"1b4cb6d3-a65b-4d12-9d3d-511afccaa3cc","resolution":{"observed_at":"2026-08-14T14:46:00.893615Z","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":"2026-08-14T14:46:00.879222Z","title":"Giraldo, Irreducible morphisms between modules over a repetitive algebras , Algebr","venue":null,"work_id":"b8559529-5ac8-43b8-8b5d-11b813d691df","year":2018},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.673137Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:4232888ab8d7624264a9d5b587eae6e9311dbffda2d8db8398913776c8fd4094","observation_id":"f91cdf7d-2e2c-430a-a874-f17721c8e7bb","resolution":{"observed_at":"2026-08-14T14:46:00.883143Z","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":"2026-08-14T14:46:00.869035Z","title":"Giraldo and H","venue":null,"work_id":"7b95f3a1-c71c-48f7-a177-fa8c9e4d4fcf","year":2009},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.676123Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:faf97e4c1be20467f9e12f8e1f34772900e57ffc93c59de99bfe195943a01cb3","observation_id":"388fb3fd-33a5-4da1-9d75-7bf4842077d4","resolution":{"observed_at":"2026-08-14T14:46:00.872662Z","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":"2026-08-14T14:46:00.857281Z","title":"Happel, Triangulated Categories in the Representation Theory of Finite Dimensional Algebras , London Mathematical Society Lecture Notes Series, no","venue":null,"work_id":"17ee02dd-6881-414b-bee0-670d39dbba69","year":1988},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.678921Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:b0c2f8f7f3d5985df42c3356bf6ee35a179f9d09026a593252f93f3d2df64dd6","observation_id":"7d543b3d-6783-491c-81f8-f77388af9ec7","resolution":{"observed_at":"2026-08-14T14:46:00.860506Z","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":"2026-08-14T14:46:00.847264Z","title":null,"venue":null,"work_id":"d03dc4c0-46fd-4d37-9722-b6ecdb6e7cb9","year":1991},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.681571Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:a0e3db8137d21f15c4ccce72594b92d99284176a4617e959f4fa2d55daee8a59","observation_id":"87677e25-f840-4807-9086-a7cfc0c3741f","resolution":{"observed_at":"2026-08-14T14:46:00.850804Z","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":"2026-08-14T14:46:00.836682Z","title":"Happel, B","venue":null,"work_id":"362c29e2-ea4c-4772-adde-63b7d38f57a1","year":2008},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.685081Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:fbd29455afa3fdf027e78add4a616f23ad34e956e965469961dc6ff35f9e9436","observation_id":"b6cc85bb-914a-493a-b2de-d58fae06be59","resolution":{"observed_at":"2026-08-14T14:46:00.840303Z","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":"2026-08-14T14:46:00.825061Z","title":"Hughes and J","venue":null,"work_id":"5ad842c1-6c87-4318-bb5f-c7bfdbf0aa7d","year":1983},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.688589Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:930da7e7040f8f2bdc695f77951dc26b8b018c498b6e5be2e9aff824838e749d","observation_id":"4b24d765-ab7b-47ec-841b-ce81447f5dad","resolution":{"observed_at":"2026-08-14T14:46:00.829198Z","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":"2026-08-14T14:46:00.813085Z","title":"Mac Lane, Homology, Die Grundlehren der mathematischen Wissenschaften, Bd","venue":null,"work_id":"f2056734-89ff-4776-b7ec-cf2d87bd10e2","year":1963},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.692047Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:979aa4535b8a937a6f445e0ef14be2b61ef8924937faba8df654a794a757eb80","observation_id":"aa295b6d-217c-48fd-afcc-a1f3be6f4282","resolution":{"observed_at":"2026-08-14T14:46:00.817979Z","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":"2026-08-14T14:46:00.801118Z","title":"Quillen, Higher algebraic K-theory I , Lecture Notes in Mathematics, no","venue":null,"work_id":"5bca0bc9-4c00-498d-90bf-f70ea3808c50","year":1973},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.695858Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:abef4d6f83017586766c72250f968c8706c617f5ae682d65658a084949a451aa","observation_id":"9ca0c54c-f05d-4def-bd7e-5d91e53de616","resolution":{"observed_at":"2026-08-14T14:46:00.804734Z","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":{"arxiv_id":"1610.08457","last_updated":"2016-10-26T18:46:39Z","snapshot_observed_at":"2026-08-14T21:33:24.144462Z","submitted_at":"2016-10-26T18:46:39Z","title":"Shapes of Auslander-Reiten Triangles","version":1},"cited_work":{"arxiv_id":"1610.08457","doi":null,"metadata_source":"pith","pith_arxiv_id":"1610.08457","snapshot_observed_at":"2026-08-14T14:46:00.739581Z","title":"Shapes of Auslander-Reiten Triangles","venue":"math.RT","work_id":"19fcfaf0-4570-48fe-a620-d23241390fb7","year":2016},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.699601Z"},"links":{"cited_paper":"/paper/1610.08457","citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:b8c5fd4965b071029c23bae738fe8dc840d4cc24f75587f1d7e5bc940a144188","observation_id":"e0f1c778-52f7-4c44-b3fc-6a1da56cc129","resolution":{"observed_at":"2026-08-14T14:46:00.745149Z","resolver_source":"local_arxiv","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":"2026-08-14T14:46:00.789836Z","title":null,"venue":null,"work_id":"4906fcd7-69e3-4a83-8663-93d1f0325f97","year":1984},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.702861Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:191cee6994015619ba28919b8120b924350feebf81d0fe9d922b5efd0005b6f9","observation_id":"f7a32753-583d-4995-aa8b-82e4525cec52","resolution":{"observed_at":"2026-08-14T14:46:00.794021Z","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":"2026-08-14T14:46:00.777767Z","title":"Schr¨ oer,On the quiver with relations of a repetitive algebra , Arch","venue":null,"work_id":"deb3d6d1-75ca-4466-8401-a26d5178c182","year":1999},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.705606Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:c1a1fb892389a2b7a033bed75a16849649fb3177b344bc1600f0d9b208367f0b","observation_id":"f411ef49-4cf1-4997-aa3f-635fe2e1e18f","resolution":{"observed_at":"2026-08-14T14:46:00.782382Z","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":"2026-08-14T14:46:00.765144Z","title":"Verdier, Cat´ egories d´ eriv´ ees, ´ etat 0, Cohomologie Etale: S´ eminaire de G´ eom´ etrie Alg´ ebrique du Bois-Marie SGA 4 1/2 (P","venue":null,"work_id":"532d8a2c-3fde-4cf4-87f0-ed309cd993c3","year":1977},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.708742Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:93e0cf244053cbceefc354be6740a7300a107b6c836bba1b5dde4646f8addc63","observation_id":"ad6b2669-3bb8-4cbb-a9f7-3a80f9fb3992","resolution":{"observed_at":"2026-08-14T14:46:00.769335Z","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":"2026-08-14T14:46:00.752542Z","title":"Wald and J","venue":null,"work_id":"4850b44b-0568-4f3b-912f-4bd1aa0e4f8f","year":1985},"citing_paper":{"arxiv_id":"1908.02912","last_updated":"2019-08-08T03:16:45Z","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T14:46:00.711442Z"},"links":{"citing_paper":"/paper/1908.02912"},"observation_digest":"sha256:92ca4e5902184c0c206a93c67aa9aa4f8aa9768fbe5004d319b88543cb600af5","observation_id":"3e871b88-de35-4cd5-9d61-6b42c9cd849a","resolution":{"observed_at":"2026-08-14T14:46:00.756824Z","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":"1908.02912","last_updated":"2019-08-08T03:16:45Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-14T14:27:51.341036Z","submitted_at":"2019-08-08T03:16:45Z","title":"On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras"},"reference_resolution":{"displayed":19,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":1,"verified_fuzzy":14},"total_outbound_references":19},"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 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.02912."}