{"as_of":"2026-08-16T15:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0483c7c2257b10ee659375e41202b843de3051db4a7e4c59923e55540195bbc4","coverage":[{"denominator":59,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":59,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T04:08:38.809520Z","state":"measured"},{"denominator":59,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":59,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/2505.02059/citation-record","integrity":"/paper/2505.02059/integrity","json":"/paper/2505.02059/citation-record.json","paper":"/paper/2505.02059"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:37.765332Z","title":"Quantum Field Theory and the Jones Polynomial,","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:37.765332Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:abf4308a6305f936be9e34fe06e316f511605b1c6cf75ffd6f452f0ddee66a28","observation_id":"0ff5b1c6-75b0-4b1c-a827-d77c12e80ed8","resolution":{"observed_at":"2026-08-16T04:08:37.765332Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/9908171","last_updated":"1999-08-30T23:26:56Z","snapshot_observed_at":"2026-07-07T06:11:24.254137Z","submitted_at":"1999-08-30T22:53:01Z","title":"A categorification of the Jones polynomial","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/9908171","snapshot_observed_at":"2026-08-16T04:08:37.820477Z","title":"A categorification of the jones polynomial,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:37.820477Z"},"links":{"cited_paper":"/paper/math/9908171","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:6c5e10d1add820a31ad43a5f30a3e2c50d3bfa0c7a7223ce7ffbdf5142be23a1","observation_id":"f62f8831-5e95-48a9-bda6-c697997005b7","resolution":{"observed_at":"2026-08-16T04:08:37.820477Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0505662","last_updated":"2005-12-07T17:03:54Z","snapshot_observed_at":"2026-07-07T05:48:57.480903Z","submitted_at":"2005-05-30T19:11:45Z","title":"The Superpolynomial for Knot Homologies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0505662","snapshot_observed_at":"2026-08-16T04:08:37.825459Z","title":"The superpolynomial for knot homologies,","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:37.825459Z"},"links":{"cited_paper":"/paper/math/0505662","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:b73157a04598964dacc14736e8b6474695e4121dcfd3854e8d31bb89535ccaa4","observation_id":"36797a0b-44f1-41b3-8dc7-f6a4f0e116ed","resolution":{"observed_at":"2026-08-16T04:08:37.825459Z","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":"2026-08-16T04:08:37.830541Z","title":"Bps states, knots, and quivers,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:37.830541Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:81360f6351df71df15a85ae6647cf4cd609311d363e920c035c49693b37fe6b2","observation_id":"b36abd41-93a1-4b67-9cfa-270531a5591f","resolution":{"observed_at":"2026-08-16T04:08:37.830541Z","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":"2026-08-16T04:08:37.835279Z","title":"Knots-quivers correspondence,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:37.835279Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:2e5df7155a85b7609778fff29a40ea561a5ea7132339953c59d840db8bae1da1","observation_id":"47b2c935-4501-4839-98b9-fe317ca33b88","resolution":{"observed_at":"2026-08-16T04:08:37.835279Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9812127","last_updated":"1998-12-15T16:00:39Z","snapshot_observed_at":"2026-07-07T05:18:38.811140Z","submitted_at":"1998-12-15T16:00:39Z","title":"M-Theory and Topological Strings--II","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9812127","snapshot_observed_at":"2026-08-16T04:08:37.839938Z","title":"M-theory and topological strings–ii,","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:37.839938Z"},"links":{"cited_paper":"/paper/hep-th/9812127","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:b4d59b3c3d7b55678f64f1b801464a486041173b79f9b1c4fbd220a2602d0f90","observation_id":"bebfa801-00d3-4f28-9138-0e9a5f0e41f7","resolution":{"observed_at":"2026-08-16T04:08:37.839938Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9809187","last_updated":"1998-09-25T19:34:38Z","snapshot_observed_at":"2026-08-14T16:14:36.881519Z","submitted_at":"1998-09-25T19:34:38Z","title":"M-Theory and Topological Strings--I","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9809187","snapshot_observed_at":"2026-08-16T04:08:37.845237Z","title":"M theory and topological strings. 1.,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:37.845237Z"},"links":{"cited_paper":"/paper/hep-th/9809187","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:b3ded7e5021ebc839fb43481893e602d2ab1c7595d1e1f5bbe3a7e3b153c45b1","observation_id":"fb941ae1-847e-449e-85e6-3e6ccf954f1a","resolution":{"observed_at":"2026-08-16T04:08:37.845237Z","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":"2026-08-16T04:08:37.849892Z","title":"Knot invariants and topological strings,","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:37.849892Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:538bdbefcec6a77d4e053319f1499783a1f952c4a57d2715dd7bf9940dea8fea","observation_id":"bde00d3e-cd0e-4c16-aacb-f3f01ed9aacb","resolution":{"observed_at":"2026-08-16T04:08:37.849892Z","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":"2026-08-16T04:08:40.732263Z","title":"Polynomial invariants for torus knots¶and topological strings,","venue":null,"work_id":"adc14fd1-7626-4248-a0b3-e27e6295be7b","year":null},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:37.854223Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:22d815123dfae7a960c79a3e0624adc62bab6bba5b227b4c5f365a61da213364","observation_id":"4ef41305-69aa-4cf6-85d6-6853ee26921d","resolution":{"observed_at":"2026-08-16T04:08:40.736178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/1126-6708/2000/11/007","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.860670Z","title":"Knots, links and branes at large n,","venue":null,"work_id":"26213537-16ae-4300-a5ee-73500452502a","year":2000},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:37.863485Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:a723789d420f897ba33d4bd4fafc4fb8220da79401303cc8d5c29268984b5de2","observation_id":"375f2924-7fbd-493b-86ee-d36d48225a61","resolution":{"observed_at":"2026-08-16T04:08:39.948406Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T04:08:37.877329Z","title":"Distinguishing mutants by knot polynomials,","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:37.877329Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:cddc42d8109bcaa1fee1b0a9f43607153aa743bd769c6578fcad8fc812d176f7","observation_id":"d5615791-7532-41eb-8ca2-72142e4f0f2f","resolution":{"observed_at":"2026-08-16T04:08:37.877329Z","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":"2026-08-16T04:08:37.881954Z","title":"Four-dimensional topological quantum field theory, hopf categories, and the canonical bases,","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:37.881954Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:d2de80ced19e3924ee9f4b44ffbdc07c395886bfd8ca84f1107067cbfa5deb07","observation_id":"a9bba117-e3d7-473d-bf48-7d25ccfc9e26","resolution":{"observed_at":"2026-08-16T04:08:37.881954Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0706.2369","last_updated":"2007-06-18T18:43:45Z","snapshot_observed_at":"2026-08-15T10:37:56.442196Z","submitted_at":"2007-06-18T18:43:45Z","title":"Surface Operators and Knot Homologies","version":1},"cited_work":{"arxiv_id":"0706.2369","doi":null,"metadata_source":"pith","pith_arxiv_id":"0706.2369","snapshot_observed_at":"2026-08-16T04:08:40.460527Z","title":"Surface Operators and Knot Homologies","venue":"hep-th","work_id":"ddfb471c-0e14-465b-bb6e-e66882ceb1e2","year":2007},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:37.957419Z"},"links":{"cited_paper":"/paper/0706.2369","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:6c173957dc3266a71c9baf1cb3bf610bdc1f58e697b7cb50b38bec5f907b4644","observation_id":"59343c57-084a-4c42-ad9b-62164f1eb478","resolution":{"observed_at":"2026-08-16T04:08:40.503657Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T04:08:40.716595Z","title":"Topological Quantum Field Theory,","venue":null,"work_id":"8afc11b7-49c0-40c3-b0fb-3d0ae5201764","year":1988},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.026841Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:3d025f4b38936fd27a849360f56333ce6776d268ec029ae54a5c8faa4defc6be","observation_id":"682bacfb-de2b-4a02-91f5-5199fc04095a","resolution":{"observed_at":"2026-08-16T04:08:40.720997Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9411102","last_updated":"1994-11-15T02:09:04Z","snapshot_observed_at":"2026-08-15T02:47:07.025269Z","submitted_at":"1994-11-15T02:09:04Z","title":"Monopoles and Four-Manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9411102","snapshot_observed_at":"2026-08-16T04:08:38.060801Z","title":"Monopoles and four-manifolds,","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.060801Z"},"links":{"cited_paper":"/paper/hep-th/9411102","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:e0fc563eab59d3717d4cfd0e32402fe4f84716972a1b81dd471f6b1fbffc4bff","observation_id":"7323f379-cc1e-4247-9a0a-84256661d705","resolution":{"observed_at":"2026-08-16T04:08:38.060801Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0401268","last_updated":"2004-03-22T18:39:51Z","snapshot_observed_at":"2026-07-07T05:38:54.629173Z","submitted_at":"2004-01-21T05:07:39Z","title":"Matrix factorizations and link homology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0401268","snapshot_observed_at":"2026-08-16T04:08:38.065552Z","title":"Matrix factorizations and link homology,","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.065552Z"},"links":{"cited_paper":"/paper/math/0401268","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:b199da19624ea55f65db64fc43c29fb5756c79dc236a4a1dcb45756abebc0d99","observation_id":"063b194a-5c46-4024-8786-63f847a16395","resolution":{"observed_at":"2026-08-16T04:08:38.065552Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11005-005-0008-8","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.827073Z","title":"Khovanov-rozansky homology and topological strings,","venue":null,"work_id":"3ab2c378-7dab-4546-acc0-a6b9a3feacfc","year":2005},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.069729Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:e6f425f39b033425f75ffb0beecf1dacc6bad1a4b2f84136e9bec1d4eb5132c2","observation_id":"44567fbf-a645-4fb4-9b57-1caadfc1f923","resolution":{"observed_at":"2026-08-16T04:08:39.832066Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/jhep03(2016)004","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.811014Z","title":"Sequencing bps spectra,","venue":null,"work_id":"fe52d604-e844-4a4a-a5b3-057051c8bc6d","year":2016},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.074311Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:467616af45862154471808a5058a81340744d253835af4076b5e01bf611db188","observation_id":"36bbac6b-69a9-472d-82a3-3c5b9842cdc0","resolution":{"observed_at":"2026-08-16T04:08:39.816547Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2140/gtm.2012.18.309","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.710096Z","title":"Homological algebra of knots and bps states,","venue":null,"work_id":"5a239111-4c95-459a-b547-58b5e5dcb3cc","year":2013},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.131084Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:0b6dada56d8a07017a2680a13305cb08db765035b305af72750ce585b4705ffa","observation_id":"a2796c76-8209-4a7e-b9d7-3f72db58ac8b","resolution":{"observed_at":"2026-08-16T04:08:39.763361Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2140/gtm.2006.8.73","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.694928Z","title":"Lagrangians for the gopakumar–vafa conjecture,","venue":null,"work_id":"4e2d8588-11ca-4092-82e9-9655205a05fb","year":2003},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.136031Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:d589b643f67165edc3d0d78f76109a14b65cf82a1b51e5ca112cefc653ee72f8","observation_id":"83aa6264-ce1f-4f3d-9d46-56e4df5f6434","resolution":{"observed_at":"2026-08-16T04:08:39.699277Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1508.06642","last_updated":"2015-08-26T20:10:16Z","snapshot_observed_at":"2026-08-15T21:34:17.840451Z","submitted_at":"2015-08-26T20:10:16Z","title":"String Theory and Math: Why This Marriage May Last","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1508.06642","snapshot_observed_at":"2026-08-16T04:08:38.163207Z","title":"String theory and math: Why this marriage may last. Mathematics and dualities of quantum physics,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.163207Z"},"links":{"cited_paper":"/paper/1508.06642","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:749aedbe57b5f760fd5f807248ea5477c01cf5e7b86521748f9a88296ddb85cb","observation_id":"bcb984da-a903-4e73-9c5d-c84a1a93ddd3","resolution":{"observed_at":"2026-08-16T04:08:38.163207Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0104180","last_updated":"2001-08-07T08:55:56Z","snapshot_observed_at":"2026-08-13T07:04:01.083796Z","submitted_at":"2001-04-18T09:47:43Z","title":"A New Point of View in the Theory of Knot and Link Invariants","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0104180","snapshot_observed_at":"2026-08-16T04:08:38.185755Z","title":"A new point of view in the theory of knot and link invariants,","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.185755Z"},"links":{"cited_paper":"/paper/math/0104180","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:be7afe358abb8075a99df940879ba5e4253484968a7d2e63b8a1b23414bbcf73","observation_id":"92322520-69fc-4e76-a89c-2ec0c6caa7d7","resolution":{"observed_at":"2026-08-16T04:08:38.185755Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00220-016-2682-z","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.679350Z","title":"Knots, bps states, and algebraic curves,","venue":null,"work_id":"65b79e3a-c06c-4ea8-a5fd-e759684120ea","year":2016},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.237520Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:a35abe0eb2f1960153cd36e22d9b7a2cc77b3b80bef20054f729ec3eaf369b4e","observation_id":"7dde7a1e-34f4-4f65-b17a-b76f057b6442","resolution":{"observed_at":"2026-08-16T04:08:39.684650Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T04:08:38.259926Z","title":"Plane curves associated to character varieties of 3-manifolds,","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.259926Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:8980a786dddbea662973502538ef0e5b349a2927e743690d0780453b7fbdfe63","observation_id":"bb56e74e-4e6e-4b89-93ac-67ea89451448","resolution":{"observed_at":"2026-08-16T04:08:38.259926Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1204.4709","last_updated":"2012-07-18T17:38:01Z","snapshot_observed_at":"2026-08-15T04:12:23.828984Z","submitted_at":"2012-04-20T19:25:35Z","title":"Large N Duality, Mirror Symmetry, and a Q-deformed A-polynomial for Knots","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1204.4709","snapshot_observed_at":"2026-08-16T04:08:38.264393Z","title":"Large n duality, mirror symmetry, and a q-deformed a-polynomial for knots,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.264393Z"},"links":{"cited_paper":"/paper/1204.4709","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:64f66a095d234a6cac9a6be34f92242a623acb7589559b1f91e611fb1af3563f","observation_id":"859dc6ad-ed90-473f-8b17-1095e575d781","resolution":{"observed_at":"2026-08-16T04:08:38.264393Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1303.3709","last_updated":"2013-03-15T09:09:50Z","snapshot_observed_at":"2026-08-15T00:25:05.222367Z","submitted_at":"2013-03-15T09:09:50Z","title":"Super-A-polynomial","version":1},"cited_work":{"arxiv_id":"1303.3709","doi":null,"metadata_source":"pith","pith_arxiv_id":"1303.3709","snapshot_observed_at":"2026-08-16T04:08:40.316043Z","title":"Super-A-polynomial","venue":"math.AG","work_id":"a3b57fd8-28ae-4608-8836-fe5f5a05e200","year":2013},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.269302Z"},"links":{"cited_paper":"/paper/1303.3709","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:8b6b199c10c9d6ca9f21973ffc5427445815ea3c6217d2db13d8766e3f66094c","observation_id":"7a09d8cc-d3b8-42a7-9a5e-d3687ed64f48","resolution":{"observed_at":"2026-08-16T04:08:40.371684Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/jhep01(2013)175","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.584717Z","title":"3d analogs of argyres-douglas theories and knot homologies,","venue":null,"work_id":"ebb20904-d048-42e1-bd34-f636b15d410c","year":2013},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.274114Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:8f2c96554a92a8512d4e5b9f08381aa51589da1bbf170c40370708096aa9ff1e","observation_id":"2dc5c268-6a83-4e59-ad31-fd4f31106de9","resolution":{"observed_at":"2026-08-16T04:08:39.623952Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T04:08:38.279888Z","title":"Cohomological hall algebra of a symmetric quiver,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.279888Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:2ef3ab0b15b18c0903cd8fe536150018c55c22e0b81e995a9d066634e7d51b80","observation_id":"3007524b-ee54-45fe-bd7d-0fe5c5693334","resolution":{"observed_at":"2026-08-16T04:08:38.279888Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0811.2435","last_updated":"2008-11-16T21:00:44Z","snapshot_observed_at":"2026-08-15T10:01:54.835968Z","submitted_at":"2008-11-16T21:00:44Z","title":"Stability structures, motivic Donaldson-Thomas invariants and cluster transformations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0811.2435","snapshot_observed_at":"2026-08-16T04:08:38.325574Z","title":"Stability structures, motivic donaldson-thomas invariants and cluster transformations,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.325574Z"},"links":{"cited_paper":"/paper/0811.2435","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:0b3bab7c12b2cf6f614ab0f0a00da8b3d48680381f64ff30d7a63b5bee0d59c3","observation_id":"16556daf-6c71-4998-ba84-e916eedafcba","resolution":{"observed_at":"2026-08-16T04:08:38.325574Z","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":"2026-08-16T04:08:38.372017Z","title":"Zonotopal algebras, orbit harmonics, and donaldson–thomas invariants of symmetric quivers,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.372017Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:17a1f982261f6d5ede9acfce91c678832a61afd619f4c8f2528b1b54765dbb1e","observation_id":"8d4ea389-7050-4a89-8d9b-2e8df5f138e9","resolution":{"observed_at":"2026-08-16T04:08:38.372017Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00220-023-04753-2","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.539118Z","title":"Quiver diagonalization and open bps states,","venue":null,"work_id":"6377521c-a7d7-407b-8d31-8cefac6e1259","year":2023},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.426749Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:7d9457d4454c47db92a0a54299b92bfaee5f92820b0fed7698c6bec9ef9fd9a6","observation_id":"3b4f409d-177a-4ad7-8444-895514578816","resolution":{"observed_at":"2026-08-16T04:08:39.543997Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.03110","last_updated":"2020-06-09T08:32:01Z","snapshot_observed_at":"2026-08-15T12:11:04.338735Z","submitted_at":"2018-11-07T19:00:14Z","title":"Physics and geometry of knots-quivers correspondence","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.03110","snapshot_observed_at":"2026-08-16T04:08:38.431118Z","title":"Physics and geometry of knots-quivers correspondence,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.431118Z"},"links":{"cited_paper":"/paper/1811.03110","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:a74837c99903d01b2980876740a8637267c8a21234fd9996f844984642f9289e","observation_id":"c3b9a246-0bbe-473e-b78b-664a086a1e6c","resolution":{"observed_at":"2026-08-16T04:08:38.431118Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1411.4062","last_updated":"2016-01-14T18:23:46Z","snapshot_observed_at":"2026-08-14T23:11:33.668885Z","submitted_at":"2014-11-14T21:20:12Z","title":"Donaldson-Thomas invariants versus intersection cohomology of quiver moduli","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1411.4062","snapshot_observed_at":"2026-08-16T04:08:38.435322Z","title":"Donaldson-thomas invariants versus intersection cohomology of quiver moduli,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.435322Z"},"links":{"cited_paper":"/paper/1411.4062","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:4e3f33a0f7a57c5cf94d1a12c70b282465ac6816727c9609d5bf83f700b367cb","observation_id":"c706f3f0-4b98-491d-bd24-a195de612f7b","resolution":{"observed_at":"2026-08-16T04:08:38.435322Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2140/ant.2018.12.1001","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.523848Z","title":"Semistable chow–hall algebras of quivers and quantized donaldson–thomas invariants,","venue":null,"work_id":"f47b4323-8d1f-4524-8b2b-fe333adc53cf","year":2018},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.440739Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:d653f52e61fa7f4b75a6d23036859861f0bbac5dbaef49b614aee754b1150c63","observation_id":"d1738910-92b2-4f2b-8e58-85849cf66d35","resolution":{"observed_at":"2026-08-16T04:08:39.528876Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1304.3481","last_updated":"2013-04-11T20:39:22Z","snapshot_observed_at":"2026-08-15T00:21:45.604811Z","submitted_at":"2013-04-11T20:39:22Z","title":"Quadruply-graded colored homology of knots","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1304.3481","snapshot_observed_at":"2026-08-16T04:08:38.445250Z","title":"Quadruply-graded colored homology of knots,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.445250Z"},"links":{"cited_paper":"/paper/1304.3481","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:ae501a13039b33c85697c9f4eb308754ad0dd173bdc39a8c2fd7cfd2b374b7c8","observation_id":"8ae0e332-1375-47b1-83e2-07482115463a","resolution":{"observed_at":"2026-08-16T04:08:38.445250Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/jhep11(2016)120","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.465917Z","title":"Bps counting for knots and combinatorics on words,","venue":null,"work_id":"282d01c4-a8cc-4448-88e3-f3db23f32c47","year":2016},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.449689Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:d75bb276eedf3151fe671051760ba9bebba150d49025111dcd5eec46a1f2d5d3","observation_id":"e127b995-416f-4223-8c85-a9408946e06a","resolution":{"observed_at":"2026-08-16T04:08:39.513174Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1611.06506","last_updated":"2016-12-22T01:26:11Z","snapshot_observed_at":"2026-08-14T21:29:34.432558Z","submitted_at":"2016-11-20T12:13:28Z","title":"Integrality structures in topological strings I: framed unknot","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1611.06506","snapshot_observed_at":"2026-08-16T04:08:38.453815Z","title":"Integrality structures in topological strings i: framed unknot,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.453815Z"},"links":{"cited_paper":"/paper/1611.06506","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:74a730321869c2b5e6b19fbc0b16233741f22115667d5c18ca21a843faa3a8ad","observation_id":"b6c04159-f75a-4116-a149-cc05f7ac5cce","resolution":{"observed_at":"2026-08-16T04:08:38.453815Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1707.00831","last_updated":"2018-03-03T23:44:10Z","snapshot_observed_at":"2026-08-14T20:49:54.825695Z","submitted_at":"2017-07-04T07:03:46Z","title":"Topological strings, quiver varieties and Rogers-Ramanujan identities","version":2},"cited_work":{"arxiv_id":"1707.00831","doi":null,"metadata_source":"pith","pith_arxiv_id":"1707.00831","snapshot_observed_at":"2026-08-16T04:08:40.194055Z","title":"Topological strings, quiver varieties and Rogers-Ramanujan identities","venue":"math.AG","work_id":"f564f464-5258-48b4-a56b-c8c91964cb92","year":2017},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.458330Z"},"links":{"cited_paper":"/paper/1707.00831","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:a30b381465d3f35210ea9dd1280501d5fbace31990d9a82a1160ab16bbcbe948","observation_id":"c7d85dc6-7560-4466-af9c-d09a4b01498a","resolution":{"observed_at":"2026-08-16T04:08:40.225192Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2312.14905","last_updated":"2023-12-22T18:29:36Z","snapshot_observed_at":"2026-08-16T14:32:07.425358Z","submitted_at":"2023-12-22T18:29:36Z","title":"Unlinking symmetric quivers","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.14905","snapshot_observed_at":"2026-08-16T04:08:38.462897Z","title":"Unlinking symmetric quivers,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.462897Z"},"links":{"cited_paper":"/paper/2312.14905","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:82e26eb75c8a4d28aedfb1b3fb47717a09dd243e436c5b49805a6e4ef8c89e8f","observation_id":"43545bfa-b5e9-4612-8f0c-a2faff5f7367","resolution":{"observed_at":"2026-08-16T04:08:38.462897Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.11806","last_updated":"2021-05-25T10:17:37Z","snapshot_observed_at":"2026-07-06T11:12:31.688359Z","submitted_at":"2021-05-25T10:17:37Z","title":"Permutohedra for knots and quivers","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.11806","snapshot_observed_at":"2026-08-16T04:08:38.467386Z","title":"Permutohedra for knots and quivers,","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.467386Z"},"links":{"cited_paper":"/paper/2105.11806","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:e4285e420f8ee9f08674518ac470e4d17594ce0adfa159067514b6779d4b31be","observation_id":"27b7862f-e841-4205-a903-b6b438e8fb3b","resolution":{"observed_at":"2026-08-16T04:08:38.467386Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4310/atmp.2014.v18.n4.a3","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.336633Z","title":"Topological strings, d-model, and knot contact homology,","venue":null,"work_id":"3f631c46-859c-42c7-b0d0-bbbfcc3a873d","year":2014},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.502794Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:a3fc53aeed14628c588a805380e4eb7a37e4316fc7679009e620faa234ff3aa3","observation_id":"8a1272fc-7bb4-47ba-a1b7-ace07a64a79f","resolution":{"observed_at":"2026-08-16T04:08:39.390162Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1901.08027","last_updated":"2026-04-24T08:42:24Z","snapshot_observed_at":"2026-08-14T17:26:55.625197Z","submitted_at":"2019-01-23T18:02:25Z","title":"Skeins on Branes","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1901.08027","snapshot_observed_at":"2026-08-16T04:08:38.540740Z","title":"Skeins on branes,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.540740Z"},"links":{"cited_paper":"/paper/1901.08027","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:7412c9ade1a4b0773672903a721258b6de97ed365ece202cdd6c5beefbc216db","observation_id":"195cb195-cd23-4b5a-892c-86830e5a808f","resolution":{"observed_at":"2026-08-16T04:08:38.540740Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11005-011-0531-8","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.321565Z","title":"Vortex counting and lagrangian 3-manifolds,","venue":null,"work_id":"151c8d9c-5ace-43f1-a55d-d91c040b7e88","year":2011},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.583507Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:6aeb4cba5c32c50f03c5b011b5b7f9df824d8a5dcf086fef6f61a8693efe5503","observation_id":"3a1f0388-095f-4631-96d9-856d2e7f2746","resolution":{"observed_at":"2026-08-16T04:08:39.326302Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-16T04:08:38.603207Z","title":"sl (2,R) chern-simons, liouville, and gauge theory on duality walls,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.603207Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:4ee15a7eb9a470baeb44a5ea4c8555721d39685256c45d92b1c02e3865bbcf97","observation_id":"673d7f44-d740-4455-8ec8-388988aa7883","resolution":{"observed_at":"2026-08-16T04:08:38.603207Z","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":"2026-08-16T04:08:40.684229Z","title":"3d tqft from 6d scft,","venue":null,"work_id":"1616ffc6-ce0b-48c5-af79-21f07553f0b1","year":null},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.607853Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:7adf9dcfb8218e26953ecef51f2dc0af22402c31666722dd58dcc4119a975e7b","observation_id":"ee85412e-e494-4eca-b969-6218abba3498","resolution":{"observed_at":"2026-08-16T04:08:40.704946Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/jhep12(2013)035","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.181046Z","title":"3d chern-simons theory from m5-branes,","venue":null,"work_id":"8d3ff2d4-2b64-4e76-884f-7f4f02e2165c","year":2013},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.616135Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:d057ad90780bc13bc49532ec1b13a9420d0905660f1e10d2625f75154c62139d","observation_id":"b498c6c6-70e2-489d-a010-c52c6d83b0ee","resolution":{"observed_at":"2026-08-16T04:08:39.215767Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1305.2891","last_updated":"2013-05-13T18:57:27Z","snapshot_observed_at":"2026-08-15T21:30:27.991739Z","submitted_at":"2013-05-13T18:57:27Z","title":"Complex Chern-Simons from M5-branes on the Squashed Three-Sphere","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1305.2891","snapshot_observed_at":"2026-08-16T04:08:38.621098Z","title":"Complex chern-simons from m5-branes on the squashed three-sphere,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.621098Z"},"links":{"cited_paper":"/paper/1305.2891","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:c76732ac33b44d47587e01d7ff0def3a4333100881be58d70452618cbcb9fd65","observation_id":"3f4ba738-2b36-4f9d-8ce9-e875bcd6a6fe","resolution":{"observed_at":"2026-08-16T04:08:38.621098Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/jhep05(2017)099","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.131742Z","title":"Fundamental vortices, wall-crossing, and particle-vortex duality,","venue":null,"work_id":"9bb8de48-d03b-45e4-9cf3-32d161a03aa3","year":2017},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.626892Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:368593a8dd1b90fe946fb4de401e96f6c7bf3339682da5c857b7846f79bd6f92","observation_id":"2017fcee-c4d4-4cc6-89bf-e08b4d923dfd","resolution":{"observed_at":"2026-08-16T04:08:39.136503Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1803.04011","last_updated":"2020-01-17T19:25:37Z","snapshot_observed_at":"2026-08-15T05:31:58.900218Z","submitted_at":"2018-03-11T18:52:04Z","title":"Higher genus knot contact homology and recursion for colored HOMFLY-PT polynomials","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.04011","snapshot_observed_at":"2026-08-16T04:08:38.632411Z","title":"Higher genus knot contact homology and recursion for colored homfly-pt polynomials,","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.632411Z"},"links":{"cited_paper":"/paper/1803.04011","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:c35a2d863b6c02dcad7bace03a9c3669aa14a9c12f07e8a8d47f36056be30a7e","observation_id":"3e965d10-eee3-471a-87fc-dc95a9da8b88","resolution":{"observed_at":"2026-08-16T04:08:38.632411Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0012041","last_updated":"2000-12-05T21:00:20Z","snapshot_observed_at":"2026-08-10T01:43:34.027813Z","submitted_at":"2000-12-05T21:00:20Z","title":"Mirror Symmetry, D-Branes and Counting Holomorphic Discs","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0012041","snapshot_observed_at":"2026-08-16T04:08:38.652588Z","title":"Mirror symmetry, d-branes and counting holomorphic discs,","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.652588Z"},"links":{"cited_paper":"/paper/hep-th/0012041","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:df90df9b3e9f826ebd3393dc72096fdb03494ac279eb5cb145e1f89bda4235eb","observation_id":"ad1a3e50-2ddb-4bcb-8835-1692d6116735","resolution":{"observed_at":"2026-08-16T04:08:38.652588Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1515/zna-2002-1-201","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.117239Z","title":"Disk instantons, mirror symmetry and the duality web,","venue":null,"work_id":"c0d6f4cc-83d1-4a15-95d0-4f28cbe06115","year":2002},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.729445Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:f3ef00a31ab929820c5481f005da879e2290a28acaf9cc0c34b3403e5349dfad","observation_id":"19d41869-cda4-42a0-a3c5-dcde1b157d32","resolution":{"observed_at":"2026-08-16T04:08:39.122208Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevd.98.026022","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.102332Z","title":"Donaldson-thomas invariants, torus knots, and lattice paths,","venue":null,"work_id":"4d2614a9-a17e-400e-b62e-f7214836e20d","year":2018},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.781757Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:77fee183ac9f2647989df144ff24c04db19566466f62037370af89da997123f6","observation_id":"80fe37e4-c610-48c1-b602-ec1e71e80cb3","resolution":{"observed_at":"2026-08-16T04:08:39.107168Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/jhep01(2019)124","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.084230Z","title":"Topological strings, strips and quivers,","venue":null,"work_id":"63739a19-66e8-49ab-bebc-198cd98ccb2d","year":2019},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.787405Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:cd1706b4c52a3aca056c70f81cd59520f547d6a085c503cc36e291132c788cc7","observation_id":"a27f6e24-cbeb-43b7-94be-77aca101fa25","resolution":{"observed_at":"2026-08-16T04:08:39.092455Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2108.12645","last_updated":"2022-01-13T16:05:35Z","snapshot_observed_at":"2026-08-13T18:21:06.826347Z","submitted_at":"2021-08-28T13:17:52Z","title":"Knot homologies and generalized quiver partition functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.12645","snapshot_observed_at":"2026-08-16T04:08:38.792407Z","title":"Knot homologies and generalized quiver partition functions,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.792407Z"},"links":{"cited_paper":"/paper/2108.12645","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:12ff53d2172e51c297b7f54a6424d76efefc44f7c0e52dc0e0f593830856efc3","observation_id":"b2d02ede-4bb0-4b57-a730-37403994992e","resolution":{"observed_at":"2026-08-16T04:08:38.792407Z","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":"2026-08-16T04:08:38.797979Z","title":"Holomorphic blocks in three dimensions,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.797979Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:8d667c8d2484c406255cbc489d082789bbcc0122bf3c6966bcd53ee214bd4c46","observation_id":"b3710d62-bc6a-4dd6-a21d-1ecda3491d4b","resolution":{"observed_at":"2026-08-16T04:08:38.797979Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1211.6023","last_updated":"2013-08-16T18:26:52Z","snapshot_observed_at":"2026-08-15T00:38:08.991408Z","submitted_at":"2012-11-26T16:55:34Z","title":"Factorization of the 3d superconformal index","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1211.6023","snapshot_observed_at":"2026-08-16T04:08:38.803747Z","title":"Factorization of the 3d superconformal index,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.803747Z"},"links":{"cited_paper":"/paper/1211.6023","citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:6b18e93c0a7bdbc835a211285f975fb6fcc2d3ae0e1fc7e45a2863e189d7dd97","observation_id":"87aaec31-a2a0-4bac-b709-24c36fc744fd","resolution":{"observed_at":"2026-08-16T04:08:38.803747Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/1126-6708/2007/08/052","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:38.841721Z","title":"On f-term contribution to effective action,","venue":null,"work_id":"e41812f6-2e54-4422-a920-b6e748f95977","year":2007},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.809520Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:eee5d7c4deda162c5748def319dcc683fe4faccf209a0fe7bfc9cf8278e81e8f","observation_id":"7ef18377-04a8-48b0-82b3-83149e5cc1c5","resolution":{"observed_at":"2026-08-16T04:08:38.931060Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s002200100374","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:40.032415Z","title":null,"venue":null,"work_id":"80255971-2015-4328-8838-e18b77b1475d","year":null},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":2001,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:37.859171Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:df2bb62a871e424c730493933cd10308d6e935aec3846b132230f5b151885a87","observation_id":"e8c35cc3-de41-466f-9e90-cf3456a03346","resolution":{"observed_at":"2026-08-16T04:08:40.037511Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/jhep08(2013)017","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-16T04:08:39.295388Z","title":null,"venue":null,"work_id":"47c96c7d-4a5e-44f3-987b-4a7e6afdbe25","year":2013},"citing_paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers","version":2},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-16T04:08:38.611914Z"},"links":{"citing_paper":"/paper/2505.02059"},"observation_digest":"sha256:7db44d19519c376719d1a422f07ecec93eb2b76b5ceb2a9a6e1ce4a5e6d116fd","observation_id":"502f2d36-aced-4a96-97f0-66106841f1b7","resolution":{"observed_at":"2026-08-16T04:08:39.300733Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.02059","last_updated":"2025-06-12T06:33:15Z","latest_version":2,"primary_category":"math.GT","snapshot_observed_at":"2026-08-16T04:00:10.244814Z","submitted_at":"2025-05-04T10:35:42Z","title":"A survey of knots and quivers"},"reference_resolution":{"displayed":59,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":33,"verified_exact":23,"verified_fuzzy":3},"total_outbound_references":59},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2505.02059."}