{"as_of":"2026-08-13T13:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f9cc67d5cee6466f0fb9ef4a8324aee899344ac7257d503b440c582392e692e8","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T20:47:41.207967Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2501.19288/citation-record","integrity":"/paper/2501.19288/integrity","json":"/paper/2501.19288/citation-record.json","paper":"/paper/2501.19288"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T20:47:41.814390Z","title":"Baxter, Exactly Solved Models in Statistical Mechanics , Academic Press (1982)","venue":null,"work_id":"0405cbc5-4933-4b6b-bf94-8a0127a05269","year":1982},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.041603Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:5b9f944030d771bd0fc01355bf2932d23824673a91dcdf4fa133d9a927d230b0","observation_id":"62de3848-bfe5-421d-926a-34a030b1f5a8","resolution":{"observed_at":"2026-08-09T20:47:41.818887Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:47:41.800500Z","title":"Nienhuis, Exact critical point and critical exponents of O(n) models in two dimensions , Phys","venue":null,"work_id":"ef3da1a5-53f3-4859-aba3-301c37ac4ea3","year":1982},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.046763Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:98d3293b6761e138a246ab8f69fbb74bcc67cf93900daffbcc6a4de1a7e7d174","observation_id":"acd25598-bc8b-4f53-894d-3b81a48b45d7","resolution":{"observed_at":"2026-08-09T20:47:41.805164Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:47:41.786049Z","title":"Nienhuis, H.W.J","venue":null,"work_id":"47fea688-cf59-4503-a441-abce0b310143","year":1989},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.051563Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:2ab2cb70d9f1ae7a088fb1096e8efde910c90efbdaa6d878bba51420ddc3485a","observation_id":"5be1b98e-bb0e-4f20-8a0e-c539c89f5ddd","resolution":{"observed_at":"2026-08-09T20:47:41.790647Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9410042","last_updated":"1994-11-18T19:21:28Z","snapshot_observed_at":"2026-07-07T05:06:33.597350Z","submitted_at":"1994-10-10T14:26:39Z","title":"Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9410042","snapshot_observed_at":"2026-08-09T20:47:41.056144Z","title":"Yung, M.T","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.056144Z"},"links":{"cited_paper":"/paper/hep-th/9410042","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:e28090dcfb3b1179392afe730b3b14e9b440f60df49d61b7b162d877ec05599d","observation_id":"48b2b010-2134-49e6-828e-cc31855e40d4","resolution":{"observed_at":"2026-08-09T20:47:41.056144Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0607232","last_updated":"2006-11-29T17:34:21Z","snapshot_observed_at":"2026-07-07T04:58:09.930849Z","submitted_at":"2006-07-28T09:09:45Z","title":"Logarithmic Minimal Models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0607232","snapshot_observed_at":"2026-08-09T20:47:41.061347Z","title":"Pearce, J","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.061347Z"},"links":{"cited_paper":"/paper/hep-th/0607232","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:14407632f92c01be023789c9c803de020ca2bf0b943ad7164a82953d31316512","observation_id":"2e109925-093a-4dcc-81c6-b9fa97840058","resolution":{"observed_at":"2026-08-09T20:47:41.061347Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0610273","last_updated":"2007-02-06T00:22:38Z","snapshot_observed_at":"2026-07-07T04:58:55.513837Z","submitted_at":"2006-10-25T17:15:54Z","title":"Solvable Critical Dense Polymers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0610273","snapshot_observed_at":"2026-08-09T20:47:41.066219Z","title":"Pearce, J","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.066219Z"},"links":{"cited_paper":"/paper/hep-th/0610273","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:45f72ad5099b4fec329a92da8a8ea3f25e96ebc583cfdbaf0d6df2b8cffaf5f7","observation_id":"05e818fe-e397-4e3b-b5a4-080596e7fe4d","resolution":{"observed_at":"2026-08-09T20:47:41.066219Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0809.4806","last_updated":"2008-10-10T21:31:14Z","snapshot_observed_at":"2026-07-06T01:43:44.438058Z","submitted_at":"2008-09-27T23:27:37Z","title":"Geometric Exponents, SLE and Logarithmic Minimal Models","version":2},"cited_work":{"arxiv_id":"0809.4806","doi":null,"metadata_source":"pith","pith_arxiv_id":"0809.4806","snapshot_observed_at":"2026-08-09T20:47:41.524380Z","title":"Geometric Exponents, SLE and Logarithmic Minimal Models","venue":"cond-mat.stat-mech","work_id":"19982c06-f9be-4d07-a955-5893f5aef10a","year":2008},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.071662Z"},"links":{"cited_paper":"/paper/0809.4806","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:db66dcbd2fc146493c607613f2fc13e335bb224f31891e87d6cda546707bcdbe","observation_id":"ec76ff42-1bad-46e5-ba70-83a1efca4fdc","resolution":{"observed_at":"2026-08-09T20:47:41.528943Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1010.5328","last_updated":"2011-01-27T00:49:55Z","snapshot_observed_at":"2026-07-06T02:18:13.275233Z","submitted_at":"2010-10-26T07:48:10Z","title":"Coset Graphs in Bulk and Boundary Logarithmic Minimal Models","version":3},"cited_work":{"arxiv_id":"1010.5328","doi":null,"metadata_source":"pith","pith_arxiv_id":"1010.5328","snapshot_observed_at":"2026-08-09T20:47:41.505030Z","title":"Coset Graphs in Bulk and Boundary Logarithmic Minimal Models","venue":"hep-th","work_id":"74b93e62-5a8e-4bd6-8a56-087635469046","year":2010},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.076326Z"},"links":{"cited_paper":"/paper/1010.5328","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:a45ce514cd816ae94c6fcf43c55b774407f9ab7ec35f064af8d9c3697ae98c81","observation_id":"c84d4799-728e-47a4-89e8-967c43a2c446","resolution":{"observed_at":"2026-08-09T20:47:41.509644Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1303.4895","last_updated":"2013-05-28T01:25:30Z","snapshot_observed_at":"2026-07-06T03:09:11.814390Z","submitted_at":"2013-03-20T10:25:55Z","title":"Modular invariant partition function of critical dense polymers","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1303.4895","snapshot_observed_at":"2026-08-09T20:47:41.081063Z","title":"Morin-Duchesne, P.A","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.081063Z"},"links":{"cited_paper":"/paper/1303.4895","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:5db04c31ecd9642a9e43c6fc4645acf44ed5b135f8c86c184e89d697f99bdd0a","observation_id":"566a0957-48ee-4d6d-938d-fd97a996ae49","resolution":{"observed_at":"2026-08-09T20:47:41.081063Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1401.7750","last_updated":"2014-01-30T06:03:14Z","snapshot_observed_at":"2026-07-06T03:34:43.374724Z","submitted_at":"2014-01-30T06:03:14Z","title":"Fusion hierarchies, T-systems and Y-systems of logarithmic minimal models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1401.7750","snapshot_observed_at":"2026-08-09T20:47:41.085891Z","title":"Morin-Duchesne, P.A","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.085891Z"},"links":{"cited_paper":"/paper/1401.7750","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:6e4f7a9caa11fb98d8b0863787de8e595c1cb01793ec70b51aac88bc3cfdb6a3","observation_id":"450e52df-2436-408f-9c9c-190e5b4e33ba","resolution":{"observed_at":"2026-08-09T20:47:41.085891Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1701.08167","last_updated":"2017-08-11T10:29:48Z","snapshot_observed_at":"2026-07-06T05:27:51.312714Z","submitted_at":"2017-01-27T19:00:05Z","title":"Conformal partition functions of critical percolation from $D_3$ Thermodynamic Bethe Ansatz equations","version":2},"cited_work":{"arxiv_id":"1701.08167","doi":null,"metadata_source":"pith","pith_arxiv_id":"1701.08167","snapshot_observed_at":"2026-08-09T20:47:41.458151Z","title":"Conformal partition functions of critical percolation from $D_3$ Thermodynamic Bethe Ansatz equations","venue":"cond-mat.stat-mech","work_id":"ebecae5e-b5cd-4c42-9f88-d3a60839e30a","year":2017},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.090724Z"},"links":{"cited_paper":"/paper/1701.08167","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:2b0fe1838c29e64e48cb84fa3af925d3dec107814c6dfe276353809124773a24","observation_id":"5a3f0213-91c0-4ea9-85ff-096497c472ef","resolution":{"observed_at":"2026-08-09T20:47:41.463270Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0905.1382","last_updated":"2009-05-09T07:00:05Z","snapshot_observed_at":"2026-07-06T01:54:41.592903Z","submitted_at":"2009-05-09T07:00:05Z","title":"Conformal boundary conditions in the critical O(n) model and dilute loop models","version":1},"cited_work":{"arxiv_id":"0905.1382","doi":null,"metadata_source":"pith","pith_arxiv_id":"0905.1382","snapshot_observed_at":"2026-08-09T20:47:41.437821Z","title":"Conformal boundary conditions in the critical O(n) model and dilute loop models","venue":"math-ph","work_id":"09b72f43-6c33-456c-8931-e3fb13b839ed","year":2009},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.095424Z"},"links":{"cited_paper":"/paper/0905.1382","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:569823eea903204912ecfa38a9c3acdf801b472b8508cc10e5a80eabe215859a","observation_id":"3cb4f59a-ce27-40e0-8c11-824b97b8671f","resolution":{"observed_at":"2026-08-09T20:47:41.442961Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1109.0653","last_updated":"2011-09-03T20:55:31Z","snapshot_observed_at":"2026-07-06T02:33:24.284980Z","submitted_at":"2011-09-03T20:55:31Z","title":"Geometric Exponents of Dilute Logarithmic Minimal Models","version":1},"cited_work":{"arxiv_id":"1109.0653","doi":null,"metadata_source":"pith","pith_arxiv_id":"1109.0653","snapshot_observed_at":"2026-08-09T20:47:41.418149Z","title":"Geometric Exponents of Dilute Logarithmic Minimal Models","venue":"cond-mat.stat-mech","work_id":"8020dcee-b392-4ae7-80cf-c592a4c22ade","year":2011},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.099889Z"},"links":{"cited_paper":"/paper/1109.0653","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:7fbc1f29b9474b7cbd0d933d92715cae28ffc5631e45b5466117132b85f21175","observation_id":"8c0236c9-cb63-4be5-8401-daa208f0a59f","resolution":{"observed_at":"2026-08-09T20:47:41.422868Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:47:41.771463Z","title":"Garbali, Dilute O(1) loop model on a strip and the qKZ equations , Master Thesis, University of Amsterdam (2012)","venue":null,"work_id":"020c1a4d-ab14-4cf0-b952-1cae7dcd6e99","year":2012},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.104419Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:5dbd1908f148a189a4990e8ef766381b15a7276704c272517f82a3c564039492","observation_id":"03a1779d-bdb8-4101-8578-1468fa3e36ac","resolution":{"observed_at":"2026-08-09T20:47:41.776239Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1510.02721","last_updated":"2018-11-07T15:10:39Z","snapshot_observed_at":"2026-07-06T04:32:33.673930Z","submitted_at":"2015-10-09T16:08:38Z","title":"Currents in the dilute $O(n=1)$ model","version":2},"cited_work":{"arxiv_id":"1510.02721","doi":null,"metadata_source":"pith","pith_arxiv_id":"1510.02721","snapshot_observed_at":"2026-08-09T20:47:41.397659Z","title":"Currents in the dilute $O(n=1)$ model","venue":"math-ph","work_id":"f739c30f-a983-44fa-bc23-030233357cf0","year":2015},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.108861Z"},"links":{"cited_paper":"/paper/1510.02721","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:7c4fcf1d9a16dfc6e0380e4107c7851b062385c3deba53aa00ddb5c0b232f7bc","observation_id":"52ee75da-2ada-4e3f-b1ca-5613cef0fac8","resolution":{"observed_at":"2026-08-09T20:47:41.403392Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1411.7020","last_updated":"2017-01-03T22:17:11Z","snapshot_observed_at":"2026-07-31T10:08:12.314873Z","submitted_at":"2014-11-25T20:48:11Z","title":"The dilute Temperley-Lieb O($n=1$) loop model on a semi infinite strip: the ground state","version":2},"cited_work":{"arxiv_id":"1411.7020","doi":null,"metadata_source":"pith","pith_arxiv_id":"1411.7020","snapshot_observed_at":"2026-08-09T20:47:41.377585Z","title":"The dilute Temperley-Lieb O($n=1$) loop model on a semi infinite strip: the ground state","venue":"math-ph","work_id":"6eea0f5e-8397-4209-a4e5-4a6ccc16bb01","year":2014},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.113729Z"},"links":{"cited_paper":"/paper/1411.7020","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:2512483d189e4a9fab58ff9477fd32b14d33df22caf4efa1ba60172ba3755956","observation_id":"134eab25-87d8-49f0-9a51-38badc05c4b1","resolution":{"observed_at":"2026-08-09T20:47:41.382359Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.07973","last_updated":"2019-05-20T10:21:19Z","snapshot_observed_at":"2026-08-07T19:23:26.553887Z","submitted_at":"2019-05-20T10:21:19Z","title":"Fusion hierarchies, $T$-systems and $Y$-systems for the dilute $A_2^{(2)}$ loop models","version":1},"cited_work":{"arxiv_id":"1905.07973","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.07973","snapshot_observed_at":"2026-08-09T20:47:41.358868Z","title":"Fusion hierarchies, $T$-systems and $Y$-systems for the dilute $A_2^{(2)}$ loop models","venue":"math-ph","work_id":"376a0b16-19f9-48ac-9006-0c350fd372cd","year":2019},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.118329Z"},"links":{"cited_paper":"/paper/1905.07973","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:73048edb3a58befadd057dbbec9ea9381b853adfabddb6154b4ec94eaaed1c5a","observation_id":"936b9d50-a842-4060-933b-1477ec387f8b","resolution":{"observed_at":"2026-08-09T20:47:41.363658Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2211.12379","last_updated":"2023-02-04T12:59:28Z","snapshot_observed_at":"2026-07-06T14:21:49.161222Z","submitted_at":"2022-11-22T16:21:03Z","title":"Critical site percolation on the triangular lattice: From integrability to conformal partition functions","version":2},"cited_work":{"arxiv_id":"2211.12379","doi":null,"metadata_source":"pith","pith_arxiv_id":"2211.12379","snapshot_observed_at":"2026-08-09T20:47:41.338889Z","title":"Critical site percolation on the triangular lattice: From integrability to conformal partition functions","venue":"math-ph","work_id":"9f9b8dfd-38df-4c6b-aea9-b83d61a78330","year":2022},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.122769Z"},"links":{"cited_paper":"/paper/2211.12379","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:ed8fd537b80064ddf7d8a5329c5e2c31ec24ef4c5479b5468126d5ad6da544a5","observation_id":"3bfc84dc-7e3b-4b76-a305-96075a3d50e3","resolution":{"observed_at":"2026-08-09T20:47:41.343569Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:47:41.757414Z","title":"Di Francesco, P","venue":null,"work_id":"7e7f0e8d-a315-4e56-acc9-da29c4c15515","year":1997},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.127828Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:1f2b88ebba1cc595eb27fc4c3e4a29ddc2978a863dbec3a5eab75be7468830f1","observation_id":"917c9ecd-5c8e-4fc1-8b13-1cd947205925","resolution":{"observed_at":"2026-08-09T20:47:41.761880Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:47:41.743177Z","title":"Moore, N","venue":null,"work_id":"1ee33111-56da-440a-a8c0-923fde49b39f","year":1989},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.132172Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:d15dc6a77e86d66e3c7024d21d3a58bfbdf627d185a8d392eec26f30fd21ae3d","observation_id":"e714e5d7-694d-40fc-b92a-bf5c8bbf2370","resolution":{"observed_at":"2026-08-09T20:47:41.747522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9303160","last_updated":"1993-04-09T03:40:53Z","snapshot_observed_at":"2026-07-07T05:02:51.459204Z","submitted_at":"1993-03-29T23:02:49Z","title":"Logarithmic Operators in Conformal Field Theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9303160","snapshot_observed_at":"2026-08-09T20:47:41.136097Z","title":"Gurarie, Logarithmic operators in conformal field theory , Nucl","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.136097Z"},"links":{"cited_paper":"/paper/hep-th/9303160","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:0e2a0e528e256ad83f5941bda31dc8ddc3a2f55f2d0219e3db772ebcb556658a","observation_id":"0ae8a34f-e6fc-4522-ab3d-0c2d31b5a377","resolution":{"observed_at":"2026-08-09T20:47:41.136097Z","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":"2026-08-09T20:47:41.729181Z","title":"Gainutdinov, D","venue":null,"work_id":"3d0ba493-0d81-47ae-ae3a-dffa9952668a","year":2013},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.140538Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:f41e22ebcd5ef684830fd4151720050a1054963672cfaaa343f81138914d4309","observation_id":"9e68973a-5a29-4830-b324-b642952d9d4b","resolution":{"observed_at":"2026-08-09T20:47:41.733592Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:47:41.714011Z","title":"Belavin, A.M","venue":null,"work_id":"247ea48e-b7c4-425c-88dd-32e7d0520a3b","year":1984},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.144309Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:07b9f3484a27914fd7bd7fad186faca8b43d5b4f4d865d8862a742e728936dbe","observation_id":"bea74735-cbfc-4a25-a468-abf6b4177735","resolution":{"observed_at":"2026-08-09T20:47:41.719332Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:47:41.698851Z","title":"Andrews, R.J","venue":null,"work_id":"b7294762-3f8e-4244-976b-9fc8ebb91b86","year":1984},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.148265Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:7ad8635d4f39e63137717d7d9b65724a7946ed936aa41efe7411a4d8a959c8f5","observation_id":"32205050-a3c9-47be-9f0e-4fc9745d0934","resolution":{"observed_at":"2026-08-09T20:47:41.703316Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:47:41.684380Z","title":"Forrester, R.J","venue":null,"work_id":"6e3225c3-6b27-4a54-8cd8-33c2bade0ba8","year":1985},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.152244Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:2af85afbb26fe13825051aeb15948487346e909fc3a7bfba0f6a60412ada0f36","observation_id":"2468e7d4-b523-4c1b-bb00-2f3a1469560a","resolution":{"observed_at":"2026-08-09T20:47:41.689069Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:47:41.670182Z","title":"Di Francesco, H","venue":null,"work_id":"c1ad13f5-0101-4086-aacb-48f3073057dc","year":1987},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.156247Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:0343ba322fe90ec4a310fc5bc28559a19d8896f016346be0e2cc56520efecdf2","observation_id":"2f79db32-6ce3-42a6-b400-57e2a8e39a7a","resolution":{"observed_at":"2026-08-09T20:47:41.674368Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:47:41.655111Z","title":"Di Francesco, H","venue":null,"work_id":"9fcbc749-d36a-430f-b4c5-fe74c1cb9278","year":1987},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.160565Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:7b01b417f7cfb251bbd2677f32f186a917a40e987ecb5072e76b5693849a8961","observation_id":"b1156653-5562-45e2-8ee4-99e5bcf16cda","resolution":{"observed_at":"2026-08-09T20:47:41.660135Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:47:41.640876Z","title":"Levy, Algebraic structure of translation-invariant spin- 1 2 XXZ and q-Potts quantum chains , Phys","venue":null,"work_id":"6b584293-915d-448f-b3a6-c1d03777a04a","year":1991},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.164626Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:80615479fc52d2497189ed416dc85108d4ab33b4886435ff7984774065da204b","observation_id":"8a385931-218c-40cf-ad10-93209df5f11c","resolution":{"observed_at":"2026-08-09T20:47:41.645408Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9208061","last_updated":"1992-08-24T19:41:51Z","snapshot_observed_at":"2026-07-07T05:01:39.749869Z","submitted_at":"1992-08-24T19:41:51Z","title":"On an algebraic approach to higher dimensional statistical mechanics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9208061","snapshot_observed_at":"2026-08-09T20:47:41.168560Z","title":"Martin, H","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.168560Z"},"links":{"cited_paper":"/paper/hep-th/9208061","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:982475d01784acd1b089072863714217f8b02405508e361d67808fbab2ea8f4a","observation_id":"91e10f02-452a-4bfa-b48c-a954cf7eb9bb","resolution":{"observed_at":"2026-08-09T20:47:41.168560Z","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":"2026-08-09T20:47:41.173107Z","title":"Graham, G.I","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.173107Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:6df9e1c61228fef4c9c2db6ed4c40619b9fe51d02f823b23c189caad32b052cd","observation_id":"2db16607-304d-4248-bebf-874e2fd7cdf9","resolution":{"observed_at":"2026-08-09T20:47:41.173107Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0910.4444","last_updated":"2010-02-26T00:21:40Z","snapshot_observed_at":"2026-07-06T01:59:35.854566Z","submitted_at":"2009-10-23T06:12:19Z","title":"Solvable Critical Dense Polymers on the Cylinder","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0910.4444","snapshot_observed_at":"2026-08-09T20:47:41.177490Z","title":"Pearce, J","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.177490Z"},"links":{"cited_paper":"/paper/0910.4444","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:1c37534831d9991e04e77468b7202789259504b5afcb9b3d0afbc7d4139f11c6","observation_id":"5ea903ef-f332-4cbc-82e7-85028d223538","resolution":{"observed_at":"2026-08-09T20:47:41.177490Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math-ph/0608055","last_updated":"2006-08-23T18:18:05Z","snapshot_observed_at":"2026-07-07T06:16:46.203031Z","submitted_at":"2006-08-23T18:18:05Z","title":"Eigenvalue amplitudes of the Potts model on a torus","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math-ph/0608055","snapshot_observed_at":"2026-08-09T20:47:41.181906Z","title":"Richard, J.L","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.181906Z"},"links":{"cited_paper":"/paper/math-ph/0608055","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:2936dac4c27d8b450b15f6c84a2708bbead85b2fdc23e7b1a2e360e39d3ec640","observation_id":"da848dfa-5215-46ec-b1a0-6bcd62be8880","resolution":{"observed_at":"2026-08-09T20:47:41.181906Z","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":"2026-08-09T20:47:41.618411Z","title":"Kim, P.A","venue":null,"work_id":"4615de87-7f96-4858-b628-e477128f1b9e","year":1987},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.186253Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:6baac70040edfe1b73b469aac516d2af7c7e35845be3c6d874875a0998db0327","observation_id":"93f69329-7096-4c4f-ae69-26825a672e68","resolution":{"observed_at":"2026-08-09T20:47:41.622725Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0106124","last_updated":"2001-06-14T20:08:22Z","snapshot_observed_at":"2026-07-07T04:40:18.756605Z","submitted_at":"2001-06-14T20:08:22Z","title":"Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions","version":1},"cited_work":{"arxiv_id":"hep-th/0106124","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0106124","snapshot_observed_at":"2026-08-09T20:47:41.258090Z","title":"Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions","venue":"hep-th","work_id":"374f6e48-3ecd-4c9c-a99d-4f980fd1b526","year":2001},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.190757Z"},"links":{"cited_paper":"/paper/hep-th/0106124","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:fcaee3e80ab079316912a4fe50f0898225e1abdf41b469a8e2309988ba25ba62","observation_id":"68db0e66-0cf7-445d-a0fd-0711b10663b0","resolution":{"observed_at":"2026-08-09T20:47:41.265228Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"cond-mat/9912141","last_updated":"2000-01-18T17:27:03Z","snapshot_observed_at":"2026-07-07T03:02:55.738865Z","submitted_at":"1999-12-08T18:02:20Z","title":"The sl_2 loop algebra symmetry of the six-vertex model at roots of unity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"cond-mat/9912141","snapshot_observed_at":"2026-08-09T20:47:41.195156Z","title":"Deguchi, K","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.195156Z"},"links":{"cited_paper":"/paper/cond-mat/9912141","citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:37597b6ac3403fcfae4f3904b0cebab38e98b4186b45afb1a52ffbc315635e2a","observation_id":"814bdd0c-1ca6-4728-95f0-ececd3c86ccc","resolution":{"observed_at":"2026-08-09T20:47:41.195156Z","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":"2026-08-09T20:47:41.199621Z","title":"Pasquier, H","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.199621Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:ce44055dfc972d7b2519a73228050d2ed62e07f2f22b3e38f34851c65e3b2237","observation_id":"3ac11943-857c-4a0d-9e33-d619cb55cb1f","resolution":{"observed_at":"2026-08-09T20:47:41.199621Z","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":"2026-08-09T20:47:41.595526Z","title":"Gaberdiel, I","venue":null,"work_id":"81e0bbf9-2821-4e58-90d7-c5cec86b463c","year":2011},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.203586Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:e8e4d72bfa7a3f2c10caa781e704f984c2e7a76623268d4606d19dd184951fc6","observation_id":"0ffa1430-244b-4248-8240-fcd328b8a417","resolution":{"observed_at":"2026-08-09T20:47:41.599877Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-09T20:47:41.581420Z","title":null,"venue":null,"work_id":"aa5bf0f8-ccb6-4a79-969f-6da3344b70d4","year":null},"citing_paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-09T20:47:41.207967Z"},"links":{"citing_paper":"/paper/2501.19288"},"observation_digest":"sha256:2a8a3f4881a40bbb3d7ecec864f76b05f8b949f64efe9961834f7631e1b98af8","observation_id":"c452f1fb-24f5-44f2-b769-9f70f6ed2935","resolution":{"observed_at":"2026-08-09T20:47:41.585947Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.19288","last_updated":"2025-01-31T16:48:39Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-13T00:47:18.970824Z","submitted_at":"2025-01-31T16:48:39Z","title":"Modular covariant torus partition functions of dense $A_1^{(1)}$ and dilute $A_2^{(2)}$ loop models"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":13,"verified_exact":10,"verified_fuzzy":15},"total_outbound_references":38},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2501.19288."}