{"as_of":"2026-08-11T12:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4911e4fc32f384b04002ff298032a8d3507b5590b81328806febbcc62698604c","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T11:29:11.346509Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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/2606.21881/citation-record","integrity":"/paper/2606.21881/integrity","json":"/paper/2606.21881/citation-record.json","paper":"/paper/2606.21881"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:29:11.346509Z","title":"Auslander, I","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-26T11:29:11.346509Z"},"links":{"citing_paper":"/paper/2606.21881"},"observation_digest":"sha256:dc7a59bb36328056d1527c94206d1336563c9b26a12338aa938f1bdbf0ffedd0","observation_id":"7da6ede9-8151-460b-8a95-c8073b7102e6","resolution":{"observed_at":"2026-06-26T11:29:11.346509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:29:11.346509Z","title":"Beligiannis and I","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-26T11:29:11.346509Z"},"links":{"citing_paper":"/paper/2606.21881"},"observation_digest":"sha256:ee380cde0d16df5c17a34724ee490e695c9a0623d63e0168e91700a03fb4d724","observation_id":"741fab8b-2054-43a5-bb7e-235dc818ed0b","resolution":{"observed_at":"2026-06-26T11:29:11.346509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:29:11.346509Z","title":"Bocian and A","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-26T11:29:11.346509Z"},"links":{"citing_paper":"/paper/2606.21881"},"observation_digest":"sha256:d7a4bf61c113a8c9ec569e90afcdb8a3e859bfa62b4afad898ef9b3cfb7ba4f2","observation_id":"0d897931-c5e1-4ecf-86d6-ab8659526d71","resolution":{"observed_at":"2026-06-26T11:29:11.346509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:29:11.346509Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-26T11:29:11.346509Z"},"links":{"citing_paper":"/paper/2606.21881"},"observation_digest":"sha256:9648431bde07ad27d532c64af5b92eb7a414d6de4e5cbb0f4f0abd1ca38425c7","observation_id":"8a622226-237d-4651-9cfc-7822ae0d52f3","resolution":{"observed_at":"2026-06-26T11:29:11.346509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:29:11.346509Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-26T11:29:11.346509Z"},"links":{"citing_paper":"/paper/2606.21881"},"observation_digest":"sha256:9c54ac8d4bb3e563f213d1a1813c4edeb11d45a7f509b568ffae885f8903fbec","observation_id":"1d7c8e5f-5e0e-4eed-bee2-7aefd3dc36e4","resolution":{"observed_at":"2026-06-26T11:29:11.346509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.04605","last_updated":"2024-02-07T05:58:53Z","snapshot_observed_at":"2026-08-10T17:20:58.872996Z","submitted_at":"2024-02-07T05:58:53Z","title":"The passage among the subcategories of weakly approximable triangulated categories","version":1},"cited_work":{"arxiv_id":"2402.04605","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2402.04605","snapshot_observed_at":"2026-07-04T15:49:57.951197Z","title":"Canonako, C","venue":null,"work_id":"897a6573-f2a5-4c25-b9c4-5eee93a9fa67","year":2024},"citing_paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-26T11:29:11.346509Z"},"links":{"cited_paper":"/paper/2402.04605","citing_paper":"/paper/2606.21881"},"observation_digest":"sha256:4df78a468a958bdbee0c58441fc5f1134fc2105d95acf0bc69bedd17c516b60e","observation_id":"21ca7ec7-501c-4b71-860f-29eed7db4369","resolution":{"observed_at":"2026-07-04T08:29:42.419295Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:29:11.346509Z","title":"Duffield, Auslander-Reiten components of Brauer graph algebras","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-26T11:29:11.346509Z"},"links":{"citing_paper":"/paper/2606.21881"},"observation_digest":"sha256:2df7aeb7b94a3580f35f0e05928f1e1f8f50ac259f425475b0f6bdc5bca0aee7","observation_id":"8bcec8f1-3e2b-4472-9198-efe6d4730f33","resolution":{"observed_at":"2026-06-26T11:29:11.346509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:29:11.346509Z","title":"Dugas, Torsion pairs and simple-minded systems in triangulated categories","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-26T11:29:11.346509Z"},"links":{"citing_paper":"/paper/2606.21881"},"observation_digest":"sha256:3c990986c694e2f89bd94ff406663ad922fd9cd3f83fbc24d122a0a30f1e2a86","observation_id":"6aebd44f-d1ee-4b2b-b5d6-f6ca3c8c6b74","resolution":{"observed_at":"2026-06-26T11:29:11.346509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:29:11.346509Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-26T11:29:11.346509Z"},"links":{"citing_paper":"/paper/2606.21881"},"observation_digest":"sha256:920bc000631a847ab9075900b3923ce4733bf288402c8a937d99075d94f4f429","observation_id":"db6db6bc-bc06-43c9-bc97-941b1d9fb532","resolution":{"observed_at":"2026-06-26T11:29:11.346509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:29:11.346509Z","title":"Koenig and Y","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-26T11:29:11.346509Z"},"links":{"citing_paper":"/paper/2606.21881"},"observation_digest":"sha256:b91cb03b1fcdae9264ed963fdb5ce9b5bce6b034a3e12fccad4728fac4371d97","observation_id":"c26e67eb-7192-4acf-919c-dd1004bae5e2","resolution":{"observed_at":"2026-06-26T11:29:11.346509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:29:11.346509Z","title":"Krause, The kernel of an irreducible map","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-26T11:29:11.346509Z"},"links":{"citing_paper":"/paper/2606.21881"},"observation_digest":"sha256:b6a37f4a738888dc275410be5edcddfe783d758be01d9746441ac4d059947b69","observation_id":"ee064b49-bad5-48c7-8b1c-ffb95b6a07a1","resolution":{"observed_at":"2026-06-26T11:29:11.346509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:29:11.346509Z","title":"Schroll, Brauer graph algebras","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-26T11:29:11.346509Z"},"links":{"citing_paper":"/paper/2606.21881"},"observation_digest":"sha256:766b75453fa88b11bc8b3f57f43876cb73a52d7c17693b7d9d9bd749a37037df","observation_id":"b885e237-6d59-40c8-b943-e81139f794a1","resolution":{"observed_at":"2026-06-26T11:29:11.346509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-26T11:29:11.346509Z","title":"Simson and A","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-26T11:29:11.346509Z"},"links":{"citing_paper":"/paper/2606.21881"},"observation_digest":"sha256:3ea4b2b12edf4a7e2ea822e69187606ea3bbff33bbd2dcc305e15d48a987069c","observation_id":"fc62b194-86ec-4663-88ac-c3d5f9363a79","resolution":{"observed_at":"2026-06-26T11:29:11.346509Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s40879-023-00717-x","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Zhang, On simple-minded systems over domestic Brauer graph algebras","venue":"European Journal of Mathematics","work_id":"d864e602-fb9b-483b-8907-7baec38b18ff","year":2024},"citing_paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-26T11:29:11.346509Z"},"links":{"citing_paper":"/paper/2606.21881"},"observation_digest":"sha256:04f487e42f9ff1dfc6e22a6a78d4a16a613d40ef019dd78a7f4d83973db4b6ef","observation_id":"de7690b0-85c1-4d93-b78e-d5b62756646d","resolution":{"observed_at":"2026-06-26T11:29:23.877940Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2606.21881","last_updated":"2026-06-20T04:42:48Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-05T01:54:15.146917Z","submitted_at":"2026-06-20T04:42:48Z","title":"A note on simple-minded systems and weakly simple-minded systems over self-injective algebras"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":2,"verified_fuzzy":0},"total_outbound_references":14},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2606.21881."}