{"as_of":"2026-08-17T17:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1c9cc4bba4bb3b3e8c54ced141355e3aee2a9732af706bb0605881b7d81cf0a7","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T20:28:54.612044Z","state":"measured"},{"denominator":37,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":37,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+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/2505.13332/citation-record","integrity":"/paper/2505.13332/integrity","json":"/paper/2505.13332/citation-record.json","paper":"/paper/2505.13332"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2401.06737","last_updated":"2024-01-12T18:14:30Z","snapshot_observed_at":"2026-08-16T14:27:52.689936Z","submitted_at":"2024-01-12T18:14:30Z","title":"Skein algebras and quantized Coulomb branches","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.06737","snapshot_observed_at":"2026-08-15T20:28:54.468946Z","title":"and Shan, P","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.468946Z"},"links":{"cited_paper":"/paper/2401.06737","citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:1bcaf0e7647682a17100575874607615eda23303e6c43092e48330d7817d9200","observation_id":"1432e04a-1584-4ec0-9d18-083a249cf727","resolution":{"observed_at":"2026-08-15T20:28:54.468946Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.17378","last_updated":"2024-11-26T12:39:12Z","snapshot_observed_at":"2026-08-17T05:21:29.159200Z","submitted_at":"2024-11-26T12:39:12Z","title":"Dualities of $K$-theoretic Coulomb branches from a once-punctured torus","version":1},"cited_work":{"arxiv_id":"2411.17378","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.17378","snapshot_observed_at":"2026-08-15T20:28:54.833826Z","title":"Dualities of $K$-theoretic Coulomb branches from a once-punctured torus","venue":"math.RT","work_id":"4917f45b-40c0-4d66-bbfa-c392504b0ebf","year":2024},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.474498Z"},"links":{"cited_paper":"/paper/2411.17378","citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:ad143bfefdea626f4a7c725c8ca2c2a7fad84c150a97f1017a74c0c41395dc50","observation_id":"69ab48cf-63e7-4476-893e-e8c088c81a2c","resolution":{"observed_at":"2026-08-15T20:28:54.838048Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:55.143996Z","title":null,"venue":null,"work_id":"a8691400-a5a8-4b0a-b460-db16a51a7d44","year":2004},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.479325Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:9854479e657c346ea1f29d0342948fdb705bc7dd4f09f1e1dbc3f178fda8f32d","observation_id":"891b9345-c6dc-43a8-9a38-4e6e89af9406","resolution":{"observed_at":"2026-08-15T20:28:55.147980Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:55.131419Z","title":"and Wong, H","venue":null,"work_id":"e9a03162-fc95-4c79-a7ab-cf998019d144","year":2011},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.484493Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:6b69bbb60c63a7eb4bc4faf232b1e6cb83de0e4a8bcdeb1b691e7b6c3edf370a","observation_id":"a013dbcb-5a0c-4349-a748-4e660840165d","resolution":{"observed_at":"2026-08-15T20:28:55.135523Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:55.119799Z","title":null,"venue":null,"work_id":"9f40749e-3dee-404d-a72a-0395c81e3d5e","year":2023},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.488848Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:80ad538beb2752b4c3ed0f1d0bcf513ab49c1ddeac85d676df06200828d52791","observation_id":"6e9c3ba9-009f-4c44-98e0-ce5adad68cba","resolution":{"observed_at":"2026-08-15T20:28:55.123950Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:55.109190Z","title":null,"venue":null,"work_id":"e5025fc9-56e5-481c-834b-88f87b31b358","year":2018},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.493582Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:f2d1a1ab73ee839b8d09beb2deafaa552a379ae57bf7a31de07118822830e44d","observation_id":"ba2e731a-b300-465f-a97e-477cf106ed12","resolution":{"observed_at":"2026-08-15T20:28:55.112800Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:55.099160Z","title":null,"venue":null,"work_id":"63022b84-6c81-4440-bd8a-9059ce2eb94e","year":2019},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.498083Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:a635d5e6846ebea918b1c02784b2e11add730de03f9d98fae8f8097587f1d31a","observation_id":"2855c314-11ce-41a5-bba0-3d7766928ce0","resolution":{"observed_at":"2026-08-15T20:28:55.102560Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.03023","last_updated":"2023-06-05T16:41:59Z","snapshot_observed_at":"2026-08-16T15:26:28.022609Z","submitted_at":"2023-06-05T16:41:59Z","title":"Canonical bases for Coulomb branches of 4d $\\mathcal{N}=2$ gauge theories","version":1},"cited_work":{"arxiv_id":"2306.03023","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.03023","snapshot_observed_at":"2026-08-15T20:28:54.818799Z","title":"Canonical bases for Coulomb branches of 4d $\\mathcal{N}=2$ gauge theories","venue":"math.AG","work_id":"92683957-4417-4479-b076-dc8c7f8d73d3","year":2023},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.501860Z"},"links":{"cited_paper":"/paper/2306.03023","citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:ef0bc3fe21f7bc6290641021ec1865dea800f27772b9ce634abea8c000e2550b","observation_id":"dded727f-7e73-40ee-9a7d-81423898e388","resolution":{"observed_at":"2026-08-15T20:28:54.823038Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.03043","last_updated":"2024-01-10T06:49:38Z","snapshot_observed_at":"2026-08-17T16:28:28.806133Z","submitted_at":"2023-06-05T17:06:54Z","title":"Ind-geometric stacks","version":2},"cited_work":{"arxiv_id":"2306.03043","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.03043","snapshot_observed_at":"2026-08-15T20:28:54.802772Z","title":"Ind-geometric stacks","venue":"math.AG","work_id":"5477b4a6-c4d7-44ee-841d-81d687c0b919","year":2023},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.505711Z"},"links":{"cited_paper":"/paper/2306.03043","citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:02c98b6b77c0baaf452caa56a5c6d0efa0c0ee836a102c416f53be2d71df9381","observation_id":"380e3a92-34c8-4f28-9e01-1519e8a769db","resolution":{"observed_at":"2026-08-15T20:28:54.807349Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.03119","last_updated":"2024-01-10T07:23:59Z","snapshot_observed_at":"2026-08-17T17:00:33.304394Z","submitted_at":"2023-06-05T17:07:30Z","title":"Tamely presented morphisms and coherent pullback","version":2},"cited_work":{"arxiv_id":"2306.03119","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.03119","snapshot_observed_at":"2026-08-15T20:28:54.784674Z","title":"Tamely presented morphisms and coherent pullback","venue":"math.AG","work_id":"3362b06d-bb20-4651-b933-0c3aae167cfb","year":2023},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.509981Z"},"links":{"cited_paper":"/paper/2306.03119","citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:e8c3ad7e9e9721c25ea9f0ea295afa20f424a84aff772a9d3e904d4abd15f5aa","observation_id":"65014c0d-5df4-49aa-8d43-c72c1c26d438","resolution":{"observed_at":"2026-08-15T20:28:54.790392Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.07856","last_updated":"2026-04-22T14:00:12Z","snapshot_observed_at":"2026-08-01T13:59:52.705894Z","submitted_at":"2022-06-16T00:27:45Z","title":"On skein algebras of planar surfaces","version":7},"cited_work":{"arxiv_id":"2206.07856","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.07856","snapshot_observed_at":"2026-08-15T20:28:54.764249Z","title":"On skein algebras of planar surfaces","venue":"math.GT","work_id":"46775a01-ae17-4177-ac27-31ab718bc6cc","year":2022},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.513657Z"},"links":{"cited_paper":"/paper/2206.07856","citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:43bc95a17c27aba5fa5c5e058e5c0082477b4551f35078be1904d513ba2326fa","observation_id":"35432eff-2e8d-4a08-bc1e-0afa113992e5","resolution":{"observed_at":"2026-08-15T20:28:54.770533Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:55.087711Z","title":"and Ginzburg, V","venue":null,"work_id":"53364f3e-4a88-4f9c-800d-2987293cf44d","year":1997},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.517559Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:0aa934c98d4a39175fd592b7eb7c94b998783ba089a56ae0eac68c59449892e0","observation_id":"92c51945-a40c-424a-9559-a3252f2cf404","resolution":{"observed_at":"2026-08-15T20:28:55.091865Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:55.077659Z","title":"and Santharoubane, R","venue":null,"work_id":"a7917974-b95e-46c0-9e68-8d83e04634d3","year":2025},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.521031Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:6eaee480ca36d75eac0f000acb4d348b6d9eb491e338f48dcb81fe0c80eed91c","observation_id":"4f9a0c4a-f46f-48ac-b031-70a974acefab","resolution":{"observed_at":"2026-08-15T20:28:55.081142Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:55.067475Z","title":"and Tsymbaliuk, A","venue":null,"work_id":"6070aaf7-55ea-46ce-8269-ab9c94b35999","year":2019},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.524481Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:3166ed84373fd84419770d3dadd38bad721e608c6b33d590e42a3b3033490aba","observation_id":"5d486069-4e58-4a27-b922-ba6caf13c8d5","resolution":{"observed_at":"2026-08-15T20:28:55.071156Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:55.056764Z","title":"and Goncharov, A.B","venue":null,"work_id":"6d488a5f-7b1a-46b2-a426-3d16ab60adbb","year":2006},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.527985Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:b5710c4532f8e0089a287888dbd46be2a8fd92e3dfd5f30e97c7fba1cfa92bd6","observation_id":"034a8458-22d6-4f62-ab39-18b30f00c43e","resolution":{"observed_at":"2026-08-15T20:28:55.060085Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:55.046104Z","title":null,"venue":null,"work_id":"ef9ad556-28a9-4ca0-9b6f-405d8407d516","year":2008},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.531433Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:3e26da3ae19d999574bf229f1bab1545f2b295dac10ee0b0bfa447e6963f52cb","observation_id":"524b7ba5-bb82-4d42-92f4-7f8695681847","resolution":{"observed_at":"2026-08-15T20:28:55.049910Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:55.035953Z","title":"and Gelca, R","venue":null,"work_id":"bfec0c2d-f6f6-4a36-8cd8-4a975a2e3b47","year":2000},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.535104Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:9fbea3c3aea85241937f5adb918457cd8df064ff81b77653132229969d450ce9","observation_id":"8472352f-0c89-49d7-8ff2-66844ee7450a","resolution":{"observed_at":"2026-08-15T20:28:55.039267Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:55.024863Z","title":"(2012).N= 2 dualities.Journal of High Energy Physics,2012(8), 1–58","venue":null,"work_id":"863af574-38d6-4754-ae4b-868994225e5a","year":2012},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.538821Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:208fc3904a4726f83faf54d574ab2a44e6277604e5fca9c09f1791bf8b907cba","observation_id":"83229c23-542b-4df2-b248-6e84bbcb366d","resolution":{"observed_at":"2026-08-15T20:28:55.028813Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:55.014158Z","title":null,"venue":null,"work_id":"e75a95d3-ec95-4504-8860-a0328754a8a4","year":2013},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.542297Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:7c0910e6f5da30dd126a05dc6a52a7de550d88c5f822206ff734b17b313c18ab","observation_id":"2c6ea182-45c5-4967-b614-3369e43a2471","resolution":{"observed_at":"2026-08-15T20:28:55.017643Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:55.003060Z","title":null,"venue":null,"work_id":"0969ef70-67e7-478b-ace8-3fc05b9818bc","year":2013},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.546566Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:c9bd4e926d5c72dcd3e8b6f496daeec1953901e23a68a56c7496e6e230db3e69","observation_id":"42e755e3-3228-4e24-873e-9027635e168d","resolution":{"observed_at":"2026-08-15T20:28:55.007019Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:54.992377Z","title":"and Leclerc, B","venue":null,"work_id":"bc5c019a-87d5-40de-a820-5af94c7c6b51","year":2010},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.550395Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:16d573db1b9d8b7cd4a8da5a6e3403e2f0d0a3c00db3ff2727a6abaa187694a0","observation_id":"c6bf0cec-8c07-40b7-9b53-9e2b91601774","resolution":{"observed_at":"2026-08-15T20:28:54.995965Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:54.981159Z","title":null,"venue":null,"work_id":"47cb1aa5-d361-477a-81e7-703ecafe711a","year":2024},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.553862Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:f233fc68281f74fc259485d5a7920b99b470e8de2e6f710ae73ab072cfc1aff7","observation_id":"9da057b7-483e-4a47-83e1-b543cf83164a","resolution":{"observed_at":"2026-08-15T20:28:54.985466Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:54.970479Z","title":null,"venue":null,"work_id":"d33c525a-831d-4145-bc64-40453f065454","year":2018},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.557753Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:81e629878d83475bbceff9275a62272ef10539fe0ee84cbb746d8da6f3554f47","observation_id":"d0628b50-d69c-4550-a37e-78dd1280bdbc","resolution":{"observed_at":"2026-08-15T20:28:54.973990Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:54.959936Z","title":null,"venue":null,"work_id":"fd98558c-266b-4940-a56c-f39e56506e69","year":2000},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.561603Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:b7368dfcdfc0d6e81e5409d0b3f655860fbecb7d89593c58e7aca857106fe143","observation_id":"e32543dd-02b8-43e0-98cf-3dc0c87c5502","resolution":{"observed_at":"2026-08-15T20:28:54.963422Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2301.11101","last_updated":"2023-04-20T22:00:51Z","snapshot_observed_at":"2026-08-16T15:59:59.521901Z","submitted_at":"2023-01-26T13:51:56Z","title":"Bracelets bases are theta bases","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.11101","snapshot_observed_at":"2026-08-15T20:28:54.566182Z","title":"and Qin, F","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.566182Z"},"links":{"cited_paper":"/paper/2301.11101","citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:5fcd5b409f2cadf2b771b6b8e36f759bd0665b1f42ef4e021a33e6faca866c62","observation_id":"301c4734-85ff-42b8-a86f-b0a91be07568","resolution":{"observed_at":"2026-08-15T20:28:54.566182Z","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":"2026-08-15T20:28:54.949496Z","title":"and Paul, T","venue":null,"work_id":"655d8715-cf8c-4c77-aaf9-bf4e7401d95c","year":2015},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.571036Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:c5de125e48592f5a8b8cae9a25e431ba23c740cb0d4fed31cf5413d932acca16","observation_id":"5ec2eb76-f6e5-4346-b107-b77d8cdf3498","resolution":{"observed_at":"2026-08-15T20:28:54.953055Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:54.938478Z","title":"and Vogel, P","venue":null,"work_id":"d7cace6d-890e-45f8-9f67-460dbb832b5f","year":1994},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.574881Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:e901a131abbc813afccd0804dbf37e7a1c8146ba34ad2148c55c6d7188b323bc","observation_id":"d239c90e-2697-4829-8877-b84ad2f57cfd","resolution":{"observed_at":"2026-08-15T20:28:54.942219Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:54.926603Z","title":null,"venue":null,"work_id":"562f548c-0d9d-4cfc-a4af-1d3ae13f4a2b","year":2016},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.578717Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:64bd8f2848a8aac2b0a6b5fc5f10a703a43d986dd7dcb70f05e17c2c2be08e6f","observation_id":"25014506-50a9-4f8e-9da7-22e6bbe40fb0","resolution":{"observed_at":"2026-08-15T20:28:54.930302Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:54.914836Z","title":"and Harer, J.L","venue":null,"work_id":"29ddc531-0d01-4fdc-9bae-3a021e043e41","year":1992},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.582198Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:75ed25a2bd14ef5085e6e802971a4c9444363e4c2499fff2208c6318523d1a3e","observation_id":"4c1d4248-4c12-4dfd-84a2-14e860ea3bb2","resolution":{"observed_at":"2026-08-15T20:28:54.919145Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:54.903190Z","title":null,"venue":null,"work_id":"56acf075-c086-4235-a891-d880e70ac934","year":1991},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.585777Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:07c28b7a9f56e1d718d2d655e53a13f6b54bed4eb8ce79b184959f211b277f1c","observation_id":"29f183c8-7220-4138-8e24-155d20ae8aa2","resolution":{"observed_at":"2026-08-15T20:28:54.906848Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2209.08794","last_updated":"2022-09-19T06:58:53Z","snapshot_observed_at":"2026-08-16T16:31:36.346584Z","submitted_at":"2022-09-19T06:58:53Z","title":"Gl2 Foam Functoriality and Skein Positivity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.08794","snapshot_observed_at":"2026-08-15T20:28:54.589213Z","title":"(2022).gl 2 foam functoriality and skein positivity.arXiv:2209.08794 [math.QA]","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.589213Z"},"links":{"cited_paper":"/paper/2209.08794","citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:2723b05bac0e0f74dc3410f939b00ac2cb2ce2a4fa962c022f284f81cfb1fec1","observation_id":"55c2aedf-7bf7-4573-8244-59fa63c84af7","resolution":{"observed_at":"2026-08-15T20:28:54.589213Z","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":"2026-08-15T20:28:54.891835Z","title":"and Wedrich, P","venue":null,"work_id":"69519163-e482-42b9-a75f-b7af39265cc6","year":2021},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.593126Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:637e3630c9fa6fc597e56f8b1a7a15116956605e0bb87a1cbbcca3610bc7e53a","observation_id":"b0189598-463c-4126-9c02-4285dbc19aaf","resolution":{"observed_at":"2026-08-15T20:28:54.895665Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:54.596612Z","title":"and Shapiro, A","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.596612Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:6ef04c4b6d3b6c2770be5e90be64ecc94f6cb91ae57c4200c587843a2c6bccf4","observation_id":"59c5d224-99a6-4e38-926b-1a0cf8c223ed","resolution":{"observed_at":"2026-08-15T20:28:54.596612Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.01088","last_updated":"2023-09-13T17:47:27Z","snapshot_observed_at":"2026-08-16T16:35:06.483692Z","submitted_at":"2022-09-02T14:41:21Z","title":"Coulomb branches for quaternionic representations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.01088","snapshot_observed_at":"2026-08-15T20:28:54.600649Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.600649Z"},"links":{"cited_paper":"/paper/2209.01088","citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:2ebda400913a0c9ed1eedb51d25406b712654310df6550a2cbd8eaedfef520f5","observation_id":"56e004a4-c4e5-491c-bfad-9229a5dd58ec","resolution":{"observed_at":"2026-08-15T20:28:54.600649Z","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":"2026-08-15T20:28:54.880175Z","title":null,"venue":null,"work_id":"7ce7acc4-61eb-495f-9b2f-b06a8d633b07","year":2014},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.604182Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:44276f05596182251fce69708fe5b9a4bd2384666b27fd7398ff8c2b724bc0b1","observation_id":"d70ca3d3-fca5-4a96-9ad7-3cd0e3de205d","resolution":{"observed_at":"2026-08-15T20:28:54.884027Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:54.869558Z","title":null,"venue":null,"work_id":"dd48665d-3d01-4d0d-87a3-0eb866eb8dae","year":1991},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.608532Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:e3a75ddac847a9ab21f3ba6027e79f76274e000905fce776dfd6188d8cc731ee","observation_id":"ed6ab0db-5da0-471c-84af-f303320d7d00","resolution":{"observed_at":"2026-08-15T20:28:54.873200Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-15T20:28:54.858104Z","title":"and Vasserot, E","venue":null,"work_id":"b07027d2-67df-42c0-a67d-b9c8447f2686","year":2010},"citing_paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-15T20:28:54.612044Z"},"links":{"citing_paper":"/paper/2505.13332"},"observation_digest":"sha256:835f90785766b99839421459d20a6f7d6d213b56233afcc6c730ebc88f2a16e4","observation_id":"34d3c508-3a8d-45a0-8914-e3e9d994fe18","resolution":{"observed_at":"2026-08-15T20:28:54.862112Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.13332","last_updated":"2025-05-19T16:44:26Z","latest_version":1,"primary_category":"math.RT","snapshot_observed_at":"2026-08-16T03:15:22.730838Z","submitted_at":"2025-05-19T16:44:26Z","title":"Monoidal categorification of genus zero skein algebras"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":19,"verified_exact":5,"verified_fuzzy":13},"total_outbound_references":37},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2505.13332."}