{"as_of":"2026-08-11T10:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3fb85ee6218a64feed2052aea47d27474e4c05450c2b8b40b986b44f7492aa22","coverage":[{"denominator":44,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":44,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T21:04:23.364823Z","state":"measured"},{"denominator":45,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":45,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+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":"2026-07-14T02:40:58.832089Z","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":"2026-07-14T06:15:01.999000Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"cited_work":{"arxiv_id":"2501.06649","doi":"10.1016/j.aim.2022","metadata_source":"pith","pith_arxiv_id":"2501.06649","snapshot_observed_at":"2026-07-14T06:15:01.999000Z","title":"Toric Mirror Symmetry for Homotopy Theorists","venue":"math.AG","work_id":"e866b923-4e26-43d4-a0e3-6127563ec861","year":2025},"citing_paper":{"arxiv_id":"2607.11853","last_updated":"2026-07-13T17:41:01Z","snapshot_observed_at":"2026-08-08T02:43:17.070000Z","submitted_at":"2026-07-13T17:41:01Z","title":"An obstruction to lifting schemes to spectral schemes","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-14T02:40:58.832089Z"},"links":{"cited_paper":"/paper/2501.06649","citing_paper":"/paper/2607.11853"},"observation_digest":"sha256:54335f339aab44bb915b568d0cce7780b397a1cc82d5076df133b43c9c7b229b","observation_id":"9c3ee1d7-ca78-46d3-9b83-d0ee7ecf5ebc","resolution":{"observed_at":"2026-07-14T02:50:11.279020Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"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":"2026-07-14T03:19:38.948615+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-14T03:19:38.948615+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2501.06649/citation-record","integrity":"/paper/2501.06649/integrity","json":"/paper/2501.06649/citation-record.json","paper":"/paper/2501.06649"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.03193","last_updated":"2024-07-30T18:27:46Z","snapshot_observed_at":"2026-08-04T08:33:10.324439Z","submitted_at":"2024-04-04T04:25:01Z","title":"Foundation of Floer homotopy theory I: Flow categories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.03193","snapshot_observed_at":"2026-08-10T21:04:21.374747Z","title":"Foundation of Floer homotopy the- ory I: Flow categories","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:21.374747Z"},"links":{"cited_paper":"/paper/2404.03193","citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:d653862c7351442c54f13d6622834c111ffe27013ec37582a34c4f72a9bf3e08","observation_id":"6ac1a2dd-2023-4102-abc8-42bd536cae18","resolution":{"observed_at":"2026-08-10T21:04:21.374747Z","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":"2026-08-10T21:04:30.307998Z","title":"Stuff about sheaves on real vector spaces","venue":null,"work_id":"41b62b12-7a80-480c-8bf2-27e8577f9f83","year":null},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:21.426208Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:498ed530cc2faeb8674d31ac4bdd0296ca6a6382882799b9460759a46ab75332","observation_id":"b6eab259-44f9-470c-a154-8afa009c60db","resolution":{"observed_at":"2026-08-10T21:04:30.334475Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:30.196216Z","title":"Integral transforms and Drinfeld centers in derived algebraic geometry","venue":null,"work_id":"c4d94635-2f6f-462d-b677-94a8aec04d0f","year":2010},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:21.467870Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:4a1eef447326173ff0aea14f01b03806ccb2e63a931687a4631a4c93c0ffeaea","observation_id":"c47150b0-ef4d-48a9-8bf0-47cc72ac04fe","resolution":{"observed_at":"2026-08-10T21:04:30.224833Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:30.044751Z","title":"Derived categories of toric varieties","venue":null,"work_id":"556b2ae3-19e2-4d77-a3c1-4058fa55b55f","year":2006},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:21.534865Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:322ac98a25296d5d2dc4982e5a8d8d35c46dd177b6c68798d1d7df22789a3cc6","observation_id":"98dd4b56-2d38-4a24-8aeb-a63ab0ed42f9","resolution":{"observed_at":"2026-08-10T21:04:30.094310Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:29.879141Z","title":"On the strict Picard spectrum of commutative ring spectra","venue":null,"work_id":"3e81be85-58f9-48a6-b4fb-07bf4fc21600","year":2023},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:21.584887Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:67f7ab58ae948961197783039100befa0ca199bb975efaf1bc9391accb99736b","observation_id":"265532bc-21e3-45bd-8a58-20dfb3a34233","resolution":{"observed_at":"2026-08-10T21:04:29.924805Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:29.714824Z","title":"Algebraic de Rham cohomology","venue":null,"work_id":"8b39f0fd-b2b1-4d20-9b6f-8c4514eaec4e","year":null},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:21.628250Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:3351fbb2567af20ce1ef577c36d70a33963f964f32b73a356de05c7dfd15ba26","observation_id":"d077691d-1448-443b-9bf5-e51ad2ff51f6","resolution":{"observed_at":"2026-08-10T21:04:29.764751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:29.518336Z","title":"The reductive Borel–Serre compactifica- tion as a model for unstable algebraic K-theory","venue":null,"work_id":"ceb172d0-f6e2-404f-94f2-5f4bd06c5dc8","year":2021},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:21.667705Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:54259371bf4364280a078252782185adc822957b0029dd3ea755c2e041f8fa4b","observation_id":"cd2ae023-fa2c-46f6-92d1-6702b3b4a98a","resolution":{"observed_at":"2026-08-10T21:04:29.564756Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-10T21:04:21.724725Z","title":"The symplectic geometry of higher Auslander algebras: Symmetric products of disks","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:21.724725Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:b708620fe186f6f5feb3376dc295ca56bf291fe1f31b96e6a96a782234fc69c3","observation_id":"f78f9728-4df7-4a5c-8984-a1d4aa2b18b3","resolution":{"observed_at":"2026-08-10T21:04:21.724725Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.12169","last_updated":"2025-02-06T12:33:26Z","snapshot_observed_at":"2026-07-06T18:16:51.116432Z","submitted_at":"2024-05-20T16:52:58Z","title":"K-theory and localizing invariants of large categories","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.12169","snapshot_observed_at":"2026-08-10T21:04:21.793945Z","title":"K-theory and localizing invariants of large categories","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:21.793945Z"},"links":{"cited_paper":"/paper/2405.12169","citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:ea6a321f64ce902744f1b973d4f550820fa75d77a807d94243cd9d9221d0fa85","observation_id":"587f12d1-281b-4f06-a54c-c63c91d13c5c","resolution":{"observed_at":"2026-08-10T21:04:21.793945Z","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/s00222-011-0315-x","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:23.988045Z","title":"A categorifi- cation of Morelli’s theorem","venue":null,"work_id":"e593a52e-80cf-4376-8655-e6d38d7e1bae","year":2011},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:21.824755Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:2eb65886bd3c26193be888e3c21e13a814cf786a99bab792e080ae4e7781ae57","observation_id":"0614f97e-74f0-4262-97b1-e8f6846a327b","resolution":{"observed_at":"2026-08-10T21:04:24.021744Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:29.385832Z","title":"Introduction to Toric Varieties","venue":null,"work_id":"5ebada1f-41be-4d1b-b5bc-55c3727247be","year":null},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:21.884749Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:27b0d108f31ef8c882f08d3dfeb07a7a535703c6c26f28154ac229d24c4dac39","observation_id":"aca02188-40dd-4446-9240-55ec88317be2","resolution":{"observed_at":"2026-08-10T21:04:29.426275Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-10T21:04:21.954729Z","title":"Microlocal Morse theory of wrapped Fukaya categories","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:21.954729Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:e8e0860af35520aed4025b3232a34e7ffe6b12bf6c21dcf6a6735a2ee29ffc19","observation_id":"29d6a6ec-bc16-4519-99bf-de534bc11115","resolution":{"observed_at":"2026-08-10T21:04:21.954729Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-10T21:04:29.084175Z","title":"Weil’s Conjcture for Function Fields I","venue":null,"work_id":"c0799e16-6463-4c9f-8ed4-0633a046663e","year":2018},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:21.985660Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:b831ea378f7ea37f1aed7c5b1b11cb9a080ad649270fb4ca7c02f286c7a7d15f","observation_id":"68edc39f-0a0e-4e3d-9559-1b29b4e7cf62","resolution":{"observed_at":"2026-08-10T21:04:29.144835Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":{"arxiv_id":"2401.12825","last_updated":"2026-06-24T21:55:00Z","snapshot_observed_at":"2026-08-04T23:58:34.137611Z","submitted_at":"2024-01-23T15:01:25Z","title":"Exodromy beyond conicality","version":2},"cited_work":{"arxiv_id":"2401.12825","doi":null,"metadata_source":"pith","pith_arxiv_id":"2401.12825","snapshot_observed_at":"2026-08-10T21:04:26.182595Z","title":"Exodromy beyond conicality","venue":"math.AT","work_id":"a674d20c-3ae3-4cba-aed6-2ae3b47a4385","year":2024},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.031172Z"},"links":{"cited_paper":"/paper/2401.12825","citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:7ee43a57f9a4d7bc1bbefc81b2e2c64dad619886fe3abf7804514457a77f7f49","observation_id":"2e1c1306-562f-45b7-945f-ec11d63d757e","resolution":{"observed_at":"2026-08-10T21:04:26.225053Z","resolver_source":"local_arxiv","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:28.944750Z","title":"Lecture Notes for Algebraic and Hermitian K- Theory","venue":null,"work_id":"966197df-e9ff-48df-b0ec-546ba633cf37","year":null},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.064880Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:05ebf412ea9db35b56e1e2d937d3264f002d7a627ede4c423d6c36437af8057b","observation_id":"97708cd2-7d0d-4aee-afbb-03f4ce17b607","resolution":{"observed_at":"2026-08-10T21:04:28.984847Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:28.844827Z","title":"Dirac geometry I: Commutative algebra","venue":null,"work_id":"4cb26cad-0898-4f0c-bc26-41db0a911443","year":2023},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.105078Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:3a543139faa279f8ae816f53b4adce16f795da5fe0240c8a34329e5ea588c771","observation_id":"4d358584-952a-40b7-83fa-be3e4d1219d1","resolution":{"observed_at":"2026-08-10T21:04:28.880740Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:28.659167Z","title":"Rectification of algebras and modules","venue":null,"work_id":"62548df5-5208-481a-bcd2-4066fb450a00","year":2013},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.155416Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:046059e8b071db500346619199cdd6aab1a7a79ad822b1e1f9d51b35c307bd82","observation_id":"80bee380-7fff-46ba-aa9d-184a01fd3b46","resolution":{"observed_at":"2026-08-10T21:04:28.714824Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:28.526445Z","title":"Morita theory for Hopf algebroids and presheaves of groupoids","venue":null,"work_id":"a3cc5a2f-a8c5-4a1f-9f75-7f5773fdedb8","year":2002},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.195317Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:5f3e478521384c8e99186a478d5aae93e4c2be03a341ced937f129d800270e8f","observation_id":"95c74ac6-8eca-4c5a-8b96-ce7345ce5e3c","resolution":{"observed_at":"2026-08-10T21:04:28.571011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":{"arxiv_id":"2304.00832","last_updated":"2023-04-03T09:20:13Z","snapshot_observed_at":"2026-08-03T16:19:03.427082Z","submitted_at":"2023-04-03T09:20:13Z","title":"Coherent-Constructible Correspondence for Toric Fibrations","version":1},"cited_work":{"arxiv_id":"2304.00832","doi":null,"metadata_source":"pith","pith_arxiv_id":"2304.00832","snapshot_observed_at":"2026-08-10T21:04:25.964825Z","title":"Coherent-Constructible Correspondence for Toric Fibrations","venue":"math.AG","work_id":"16a1d151-da40-4bf0-9294-85ab597d65ef","year":2023},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.234924Z"},"links":{"cited_paper":"/paper/2304.00832","citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:5e05d1a647503d559f9281964ff775fbaa0ff823658b23b33146f9b4ba61b2a2","observation_id":"fbf054cd-ce6b-45b1-a09e-68d1ba985c68","resolution":{"observed_at":"2026-08-10T21:04:26.002030Z","resolver_source":"local_arxiv","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:28.397274Z","title":"Stratified homotopy theory of topological ∞-stacks: A tool- box","venue":null,"work_id":"be9c95a7-61f3-4ad3-8003-1ecbc959ccd1","year":2024},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.265362Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:35c1b59b1919b8d9044f89f7dc71d4da33abf1d0967970a1f8bb2d48bd367b75","observation_id":"56b7a6b9-32e4-4125-9092-e39704ba562e","resolution":{"observed_at":"2026-08-10T21:04:28.455137Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"10.1112/topo.12325","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:23.812528Z","title":"Brane structures in microlocal sheaf theory","venue":null,"work_id":"0ff1da7d-0b4c-4f87-ac6d-84fcfea30017","year":2024},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.384832Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:299c4ce0020a563023655d028796a42c18d9fe7e58d2d5ed396014ac9c5769b8","observation_id":"3ddfdc4a-cf4a-4cde-a785-bcd65d680dff","resolution":{"observed_at":"2026-08-10T21:04:23.832412Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:28.234751Z","title":"Kashiwara and P","venue":null,"work_id":"49868cb8-98f2-4bd5-8bf8-f2585beed4e2","year":2002},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.425003Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:334d49250c85f1e717ff3fc06f075538693a25f456e2502acb34bf3d40f4827b","observation_id":"a636c183-bdf0-48e1-8517-3c1b31b71836","resolution":{"observed_at":"2026-08-10T21:04:28.290692Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:28.099171Z","title":"The nonequivariant coherent-constructible correspondence for toric stacks","venue":null,"work_id":"55c29705-e283-45ac-acd6-f314dfecc27e","year":2020},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.485009Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:0a035832c49114a1e27b626f6a2df7fe08930bc8d9e94582d1dd2167ef341eba","observation_id":"2d9edc2e-cd23-4203-9e67-fa45a6106e68","resolution":{"observed_at":"2026-08-10T21:04:28.134757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:28.006873Z","title":"Elliptic Cohomology I","venue":null,"work_id":"a59d1394-d1bd-451d-bd9a-0e448359b054","year":null},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.515514Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:76ca391d97cfc039e2364b8e6c60a8176b440f40649fdc0e9fab5d682edb74d4","observation_id":"b251a2fc-f522-4fef-a360-6614bb3bc0bc","resolution":{"observed_at":"2026-08-10T21:04:28.039268Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:27.879355Z","title":"Rotation invariance in algebraic K-theory","venue":null,"work_id":"4c1e41fd-8c2a-4622-8854-8b43109f18e2","year":null},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.557510Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:8011debc804e84e52358c7b1f8d02269737cf2d2890d811d2ae95328052f7be9","observation_id":"f9a4b194-ad72-4c7e-9a11-789f262ce1cf","resolution":{"observed_at":"2026-08-10T21:04:27.920942Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:27.714238Z","title":"Survey article on elliptic cohomology","venue":null,"work_id":"77104134-947e-4e66-a247-4a73003bfada","year":null},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.606579Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:851f21d9d958f8aa3f038db674d2fdce044e2c76acbc0493a2eac7a3fa30047c","observation_id":"0dc72dd1-a44b-49d2-b65e-83b9ba830223","resolution":{"observed_at":"2026-08-10T21:04:27.753808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":{"arxiv_id":"1805.09587","last_updated":"2018-05-24T10:14:06Z","snapshot_observed_at":"2026-07-06T06:40:58.208932Z","submitted_at":"2018-05-24T10:14:06Z","title":"Associative algebras and broken lines","version":1},"cited_work":{"arxiv_id":"1805.09587","doi":null,"metadata_source":"pith","pith_arxiv_id":"1805.09587","snapshot_observed_at":"2026-08-10T21:04:25.500647Z","title":"Associative algebras and broken lines","venue":"math.AT","work_id":"3d31a660-8e61-4e22-96f2-8dd943fbf67f","year":2018},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.654898Z"},"links":{"cited_paper":"/paper/1805.09587","citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:df48297910bf31c424f6c5679e7f27753f2d3f0703a982f4413274197a718d84","observation_id":"ed710eee-765e-47dd-9371-9b68f0da135c","resolution":{"observed_at":"2026-08-10T21:04:25.544823Z","resolver_source":"local_arxiv","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:27.534761Z","title":"The K Theory of a Toric Variety","venue":null,"work_id":"be51fe66-343b-4d92-8c49-9fe9bdaa4b09","year":1993},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.704751Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:c7a80f6b2661dace1c29b41d79850d29fd92ac92b11bbf4aa52b7dccf5075c98","observation_id":"c956f0f2-a672-4011-b8da-16da094081be","resolution":{"observed_at":"2026-08-10T21:04:27.567103Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"2026-08-10T21:04:22.744737Z","title":"The geometry of filtrations","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.744737Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:31b7930b0d04aaf1c8323a9a055aef52a6bf9aa0a4d3a5406d44b832507f695a","observation_id":"6663ae6f-2552-4fb8-9fcd-e194a83309a0","resolution":{"observed_at":"2026-08-10T21:04:22.744737Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1604.00114","last_updated":"2016-04-01T02:50:06Z","snapshot_observed_at":"2026-07-06T04:51:25.276463Z","submitted_at":"2016-04-01T02:50:06Z","title":"Wrapped microlocal sheaves on pairs of pants","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1604.00114","snapshot_observed_at":"2026-08-10T21:04:22.794739Z","title":"Wrapped microlocal sheaves on pairs of pants","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.794739Z"},"links":{"cited_paper":"/paper/1604.00114","citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:ffa15f84c9566d3632c89f6b832dad0e4730a7c4bcceabc0093987f6f46c7fd4","observation_id":"d1aab106-ec7f-46d8-ab74-efed68733f83","resolution":{"observed_at":"2026-08-10T21:04:22.794739Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.11766","last_updated":"2024-05-20T12:11:30Z","snapshot_observed_at":"2026-07-06T17:18:40.469815Z","submitted_at":"2024-01-22T09:01:36Z","title":"Bordism of flow modules and exact Lagrangians","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.11766","snapshot_observed_at":"2026-08-10T21:04:22.854729Z","title":"Bordism of flow modules and exact Lagrangians","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.854729Z"},"links":{"cited_paper":"/paper/2401.11766","citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:78547fdfe148a79d3f11966ae85c2335d1b319911063b5f29f7a65a7f538cb96","observation_id":"ffd00ffd-08a8-4bc1-977f-6da486c64f7e","resolution":{"observed_at":"2026-08-10T21:04:22.854729Z","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":"2026-08-10T21:04:22.895007Z","title":"A monoidal Grothendieck construction for ∞-categories","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.895007Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:84c862cf0780ecec64c9c32913b66b51349849399ac1489cd777dd2f86b03dfe","observation_id":"08d25f6e-e05e-4ddc-964d-e68a08c65ba9","resolution":{"observed_at":"2026-08-10T21:04:22.895007Z","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":"2026-08-10T21:04:27.372541Z","title":"A lemma for microlocal sheaf theory in the ∞- categorical setting","venue":null,"work_id":"825156f8-3866-4a93-a451-e377e5ba37e0","year":2018},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.953557Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:9f269d4e35c05cd3aaa026cb88c3b14fda9fd14926e875a9fa532bf44fee8426","observation_id":"4be8d1a8-9d54-4f17-8d54-bec3ab42aae9","resolution":{"observed_at":"2026-08-10T21:04:27.430372Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:27.184755Z","title":"The non-equivariant coherent-constructible cor- respondence and a conjecture of King","venue":null,"work_id":"1f00a72c-42f5-4019-a766-e2534c35f060","year":2016},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:23.014751Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:1d186f02278f65934f1723eb55b864ce30a4c48dc648778ba63746575f196f15","observation_id":"67a47a2e-43b2-472f-a047-fbdb603a483f","resolution":{"observed_at":"2026-08-10T21:04:27.235274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"10.5802/crmath.304","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:23.575422Z","title":"Toric mirror symmetry revisited","venue":null,"work_id":"ffadadde-1f4b-4d41-92cc-3d69f0b0c2c5","year":2022},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:23.064902Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:8f29b2e1d8fa462031d4e23e88c92be7c4fe362faa96b9a9688ca3d6d895e24d","observation_id":"aad3dc38-cbcb-4240-8fae-e3dcd0379f31","resolution":{"observed_at":"2026-08-10T21:04:23.615026Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"1907.03301","last_updated":"2019-07-07T14:49:04Z","snapshot_observed_at":"2026-07-06T08:05:42.741106Z","submitted_at":"2019-07-07T14:49:04Z","title":"Cyclic structures and broken cycles","version":1},"cited_work":{"arxiv_id":"1907.03301","doi":null,"metadata_source":"pith","pith_arxiv_id":"1907.03301","snapshot_observed_at":"2026-08-10T21:04:24.721179Z","title":"Cyclic structures and broken cycles","venue":"math.AT","work_id":"6478c706-1c1c-4ee0-a6f5-bf3728647f0d","year":2019},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:23.091746Z"},"links":{"cited_paper":"/paper/1907.03301","citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:45d03b83019ca89374cb09aaa151ec153912788a91168435ad90532d2bad4f2d","observation_id":"16769147-76c1-4173-8ca3-2ea8bf54ceed","resolution":{"observed_at":"2026-08-10T21:04:24.775299Z","resolver_source":"local_arxiv","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":{"arxiv_id":"1006.5756","last_updated":"2010-06-30T02:12:53Z","snapshot_observed_at":"2026-07-06T02:12:17.652140Z","submitted_at":"2010-06-30T02:12:53Z","title":"Remarks on the nonequivariant coherent-constructible correspondence for toric varieties","version":1},"cited_work":{"arxiv_id":"1006.5756","doi":null,"metadata_source":"pith","pith_arxiv_id":"1006.5756","snapshot_observed_at":"2026-08-10T21:04:24.444750Z","title":"Remarks on the nonequivariant coherent-constructible correspondence for toric varieties","venue":"math.AG","work_id":"d021cae4-e4d1-4e5d-b974-0616ec02c4f4","year":2010},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:23.132296Z"},"links":{"cited_paper":"/paper/1006.5756","citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:5f3ab02201f47fa4f5d8f0d51b6ec0996ff5516f2da4a6a78c0243c4d4f80d87","observation_id":"b41000c7-8516-42ab-bf0a-217a13871cc8","resolution":{"observed_at":"2026-08-10T21:04:24.514751Z","resolver_source":"local_arxiv","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":{"arxiv_id":"1712.00045","last_updated":"2017-11-30T19:40:14Z","snapshot_observed_at":"2026-07-06T06:12:09.658727Z","submitted_at":"2017-11-30T19:40:14Z","title":"Categorical Logarithmic Hodge Theory, I","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1712.00045","snapshot_observed_at":"2026-08-10T21:04:23.195411Z","title":"Categorical Logarithmic Hodge Theory, I","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:23.195411Z"},"links":{"cited_paper":"/paper/1712.00045","citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:0296dbc7290ac72f2f6dbb0fa6f89cff4427bdf8630a016918d170c84c35ee79","observation_id":"97b7dd27-90b2-40f1-b20f-75a52f45b2d3","resolution":{"observed_at":"2026-08-10T21:04:23.195411Z","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":"2026-08-10T21:04:27.041775Z","title":"Coherent-constructible correspondences and log-perfectoid mirror symme- try for the torus","venue":null,"work_id":"06224fc3-7741-4908-a151-b945ab481742","year":null},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:23.240887Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:52e08213d2c148cd40bd6c6c7bf8d52841dbf035a1c9a5a86c86fb41c9ac0fdc","observation_id":"7c679b5a-d04f-4aaf-a512-7f4d77637f0c","resolution":{"observed_at":"2026-08-10T21:04:27.093835Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:26.932630Z","title":"On coherent-constructible correspondences and incomplete topologies","venue":null,"work_id":"1c89eccc-634c-449a-97a1-21e4340ffa95","year":null},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:23.284822Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:3acb7a0445348cff480c68ee3e62bc219996c9819d056b029bc66d7a438c1852","observation_id":"8bb29f76-8172-432c-9a1b-bf4300c7b001","resolution":{"observed_at":"2026-08-10T21:04:26.955560Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:26.882098Z","title":"The six operations in topology","venue":null,"work_id":"61f85c72-f23d-476d-a7e9-1cabf07b1e91","year":2023},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:23.323143Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:621062ee4a242607bf3d22adefa866e7c601f8b9b1c1772727e0a419bad3fd96","observation_id":"a77df2be-7c34-474b-810a-c17050bd10a9","resolution":{"observed_at":"2026-08-10T21:04:26.897519Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:26.764830Z","title":"Twisted polytope sheaves and coherent–constructible correspondence for toric varieties","venue":null,"work_id":"712d80c5-4587-4c12-92d7-bc3db55dffd8","year":2017},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:23.364823Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:4ad1a140ea89c05af4a10ceefa57c7f31cd39afbef9544effa2017fbf4b3fb5d","observation_id":"425ac4be-27e5-473c-9736-9c13ace249a5","resolution":{"observed_at":"2026-08-10T21:04:26.804153Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T21:04:29.224751Z","title":null,"venue":null,"work_id":"680d533c-8bc0-45d9-b40b-f051ef9528c0","year":null},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":1993,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:21.927321Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:532dedf11ccba78efad92794ec47537a61fc3c77e225f03c42b9f298014fa2e9","observation_id":"7c312943-f0b3-4bdb-9ae6-a17ac90ee043","resolution":{"observed_at":"2026-08-10T21:04:29.274383Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"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":"2026-08-10T21:04:22.334934Z","title":"URL: http://dx.doi.org/10","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists","version":1},"reference_index":4049,"source":"pdf_text","source_observed_at":"2026-08-10T21:04:22.334934Z"},"links":{"citing_paper":"/paper/2501.06649"},"observation_digest":"sha256:47084f3663295badef4a4f7d8c858b76035755c72a9eedf4f250a38c703ade5c","observation_id":"c824d2e9-12a2-4b40-b920-9f0be28ecbd0","resolution":{"observed_at":"2026-08-10T21:04:22.334934Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2501.06649","last_updated":"2025-01-11T22:06:57Z","latest_version":1,"primary_category":"math.AG","snapshot_observed_at":"2026-08-11T00:44:28.195562Z","submitted_at":"2025-01-11T22:06:57Z","title":"Toric Mirror Symmetry for Homotopy Theorists"},"reference_resolution":{"displayed":44,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":1,"unresolved":9,"verified_exact":8,"verified_fuzzy":25},"total_outbound_references":44},"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 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2501.06649."}