{"as_of":"2026-08-09T05:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c002800092cc962a22671eccd9b02c3cde08cdef82f639902440655c83ba399e","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T22:36:38.337921Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2506.21372/citation-record","integrity":"/paper/2506.21372/integrity","json":"/paper/2506.21372/citation-record.json","paper":"/paper/2506.21372"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:40.841238Z","title":"Adachi, O","venue":null,"work_id":"29857a6a-7e0a-4735-8b81-cd908bd53750","year":2015},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:37.013719Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:577fc8cf7806ae454b6c2c38f966e328494cafe1fc34705ca46325877ee9fcfa","observation_id":"7fe3b5f3-226b-4bcf-9855-99e08218b1f8","resolution":{"observed_at":"2026-08-06T22:36:41.040382Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:40.590716Z","title":"Assem, D","venue":null,"work_id":"c8772dfc-b13b-46fc-8716-e30ff54cb785","year":null},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:37.065507Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:6bee8b325517cc8990c71a6c09d7c097416bbdbbf51861c96d2d5e8e5002e4c1","observation_id":"130e87f7-f2f7-46e3-8267-a9f53a012df9","resolution":{"observed_at":"2026-08-06T22:36:40.713495Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:40.378154Z","title":"Auslander, and S.O","venue":null,"work_id":"5a1551f7-1cba-40d2-abc7-b391408b6b2e","year":1981},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:37.181213Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:5b343bbedc0cea1c451c2a135bfd8bd2c6b3687c45de397ada56f40dd536469d","observation_id":"d72ba57b-4195-43ea-aad7-1637f0f76e6c","resolution":{"observed_at":"2026-08-06T22:36:40.437313Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:40.155486Z","title":"Bondal, Representations of associative algebras and coherent sheaves , Math","venue":null,"work_id":"d47f8dfb-2d75-4d07-a076-8bbef6552bae","year":1990},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:37.233802Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:28b4c629519fb0136d229020dd4bf7a946380b7bbfce4b84276250008240fe72","observation_id":"122a6e9c-d79f-4675-9e61-dd9770934c5d","resolution":{"observed_at":"2026-08-06T22:36:40.259168Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:40.022321Z","title":"Br¨ ustle, D","venue":null,"work_id":"e6fbb5d1-c0fc-49d5-8477-586a066c48ae","year":2019},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:37.320546Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:5d3bd124158d0b571ad0d4c80859be61e3effa9973a1ab3e45a3f85573856de9","observation_id":"380adcc6-7ad9-42db-a599-094a437b10ca","resolution":{"observed_at":"2026-08-06T22:36:40.100558Z","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":{"arxiv_id":"2501.13694","last_updated":"2025-01-23T14:19:30Z","snapshot_observed_at":"2026-07-06T20:24:59.539207Z","submitted_at":"2025-01-23T14:19:30Z","title":"Mutating ordered $\\tau$-rigid modules with applications to Nakayama algebras","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2501.13694","snapshot_observed_at":"2026-08-06T22:36:37.390574Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:37.390574Z"},"links":{"cited_paper":"/paper/2501.13694","citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:0f558e832e37445090f542ece00fdd81bcd27f07cee96116f7ebfb84809f7562","observation_id":"9ac78faf-f8fb-43f9-8376-daf6806b2050","resolution":{"observed_at":"2026-08-06T22:36:37.390574Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:39.831996Z","title":null,"venue":null,"work_id":"e342064c-a45c-4e78-86a2-b41f5577535f","year":2023},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:37.483052Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:312152f31cbdd375b950c982354b1a51ad3c17a3b6fa062d962f25858ac52375","observation_id":"57fa25f0-9028-4d59-8bef-3db3a944fc00","resolution":{"observed_at":"2026-08-06T22:36:39.893174Z","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":{"arxiv_id":"2402.10301","last_updated":"2024-02-15T20:07:13Z","snapshot_observed_at":"2026-07-06T17:30:51.898267Z","submitted_at":"2024-02-15T20:07:13Z","title":"Mutation of {\\tau}-exceptional pairs and sequences","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.10301","snapshot_observed_at":"2026-08-06T22:36:37.539036Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:37.539036Z"},"links":{"cited_paper":"/paper/2402.10301","citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:5bea3d6312877f2d36316aacc2f434dd3cdff58e50b6bd85757729ae15c220b1","observation_id":"3cf4625c-ee6b-49b2-9459-f6386f648feb","resolution":{"observed_at":"2026-08-06T22:36:37.539036Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:39.694935Z","title":null,"venue":null,"work_id":"39cdb208-5dc8-403a-9dcd-54a65a8a2762","year":2019},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:37.578400Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:9276f4ed76829eee18fe2571355f81bb4556ee73b778fe2dc10dd38557f56556","observation_id":"23a8864f-4f5a-4e48-ba78-37ee51d26fdf","resolution":{"observed_at":"2026-08-06T22:36:39.771321Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:39.531669Z","title":null,"venue":null,"work_id":"afdfae5e-a43e-42c5-a487-3da06af3e29e","year":2021},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:37.682528Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:2e0e9c62686205a2cc95a341b424b907bb16e45be49f7e687c19f2f231ffd5c5","observation_id":"74b225d1-3032-4ba9-be58-78367e81859c","resolution":{"observed_at":"2026-08-06T22:36:39.577714Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:39.366174Z","title":"Crawley-Boevey, Exceptional sequences of representations of quivers , Representations of algebras (Ottawa, ON, 1992), CMS Conf","venue":null,"work_id":"0cb74627-93f3-4f8e-a58c-5947d4c6969d","year":1992},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:37.758437Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:e305d7f91a5b134bc3a2d68fb7823772da509ecbeba56b904cb5ce74aaf1d767","observation_id":"3f8c9902-efd1-4193-b125-1d29394758f9","resolution":{"observed_at":"2026-08-06T22:36:39.475961Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:39.237423Z","title":"Demonet, O","venue":null,"work_id":"9c530777-1e46-4b1e-9b7c-0baa17bf9906","year":2017},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:37.845347Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:5631fc4c9c58ad7fc04f28e1c0ba1f13eebfb9a4224e1b3ba4e4a306b9dd43e4","observation_id":"cf967bf2-225d-454c-b36f-b36c26582d65","resolution":{"observed_at":"2026-08-06T22:36:39.293904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:39.068847Z","title":"Demonet, O","venue":null,"work_id":"9e7b39bd-c2e4-47ba-bcc2-4ae255909dbc","year":2023},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:37.929240Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:08ecf6c1f89c25b622bbbb511792d5b5b0519d19f6adb568682d7a015203fd2a","observation_id":"3dbf3e2d-d47d-4270-b28a-7aa1dbba3eb4","resolution":{"observed_at":"2026-08-06T22:36:39.171204Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:38.956300Z","title":null,"venue":null,"work_id":"73f5dc80-3824-48c5-a06f-c43522c87c2e","year":1987},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:38.011103Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:d090830a4cc59d4361e3981b92a34fc186c0b4166a702aaf2adb22cb4176502e","observation_id":"718833f6-0920-4a82-8a76-dff5cc485213","resolution":{"observed_at":"2026-08-06T22:36:38.984009Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:38.791136Z","title":"Jasso, Reduction of τ -tilting modules and torsion pairs","venue":null,"work_id":"68344358-0304-4312-86b9-3003377cf382","year":2015},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:38.132429Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:40f9d0179698042ddd62af1fe6a512b801fec5d2585ad0b7c17b5ff6c98da87c","observation_id":"bb43db5e-8961-4a96-8d4d-e887f6fbad8c","resolution":{"observed_at":"2026-08-06T22:36:38.850272Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:38.698145Z","title":"Marks and J","venue":null,"work_id":"327721bb-b6b2-427f-9358-fbd3236442f8","year":2017},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:38.191278Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:e1e55856aa8b4228958a38bf1c7df7bf92eefea4ced56f0e9ec79cd20d613fbc","observation_id":"abdde3b0-1f72-4471-8f76-26c97eeb8083","resolution":{"observed_at":"2026-08-06T22:36:38.730070Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:38.536303Z","title":null,"venue":null,"work_id":"26d32b05-2fad-4412-a60d-dc926fb280ee","year":2020},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:38.253134Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:f93e3c777d8ad321e227f3688bf6c6fc4e440002afa40d83c8303f7c80857936","observation_id":"3d72a0ff-cf39-4fdd-a665-f28c481b6429","resolution":{"observed_at":"2026-08-06T22:36:38.611371Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:36:38.413163Z","title":null,"venue":null,"work_id":"fd9e2897-5484-48e6-9119-01a861508f3f","year":1994},"citing_paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T22:36:38.337921Z"},"links":{"citing_paper":"/paper/2506.21372"},"observation_digest":"sha256:dca629b5679029fb1190fcd6979bc17dd0b87ed1f3e649d454ef473292553120","observation_id":"7d9ef5ee-ea0f-4481-bc8a-e7967efbcb39","resolution":{"observed_at":"2026-08-06T22:36:38.485518Z","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"}}],"paper":{"arxiv_id":"2506.21372","last_updated":"2025-06-26T15:21:23Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-06T22:23:41.147167Z","submitted_at":"2025-06-26T15:21:23Z","title":"Transitivity of mutation of $\\tau$-exceptional sequences in the $\\tau$-tilting finite case"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":0,"verified_fuzzy":10},"total_outbound_references":18},"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 9 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2506.21372."}