{"as_of":"2026-08-17T15:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cd35927c78a491c4d5fdd7f5ed62a68dee1c81d29fd5262b5585a6ce2b6181e9","coverage":[{"denominator":43,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":43,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:02:34.878241Z","state":"measured"},{"denominator":43,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":43,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.22958/citation-record","integrity":"/paper/2505.22958/integrity","json":"/paper/2505.22958/citation-record.json","paper":"/paper/2505.22958"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s11856-014-1006-6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Israel Journal of Mathematics","work_id":"f65604b1-0aee-4024-996b-e9c000b2fc76","year":2014},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:31.011433Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:22da1757e38bb07e8751883c4bc4f7b602a620ba877936cfbd057c63ea90ba86","observation_id":"40424b31-8525-4a59-9272-aca59796e2aa","resolution":{"observed_at":"2026-08-07T13:02:36.691926Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:38.977198Z","title":null,"venue":null,"work_id":"9bf4e10d-6905-44bf-a44f-9b3e6bb263b1","year":1993},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:31.068407Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:25269e0742313ee544600c16812e504233b5a3a4977faa93f979f0849bf665c8","observation_id":"54ab864e-50a0-4b42-9ad9-04ba5c398f5e","resolution":{"observed_at":"2026-08-07T13:02:39.028951Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1112/s0010437x21007041","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"‘Galois symmetries of knot spaces’","venue":"Compositio Mathematica","work_id":"de40dc11-ff71-4851-9924-8bdba0a89145","year":2021},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:31.137811Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:aea9ca62575fbd022099cddefe8dce3a5ea89a829ae157e10b83930dde950e66","observation_id":"932e4f05-ccd7-43a0-8336-a8f99c3fee0b","resolution":{"observed_at":"2026-08-07T13:02:36.542760Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:31.229507Z","title":"‘New perspectives on self-linking’","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:31.229507Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:b811d04024ec433c270bb18794bbe5a2e65f3523ffbdfe1860979c41f4aabf82","observation_id":"d766cd71-2f30-4a80-b63d-615c2c34fe57","resolution":{"observed_at":"2026-08-07T13:02:31.229507Z","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":"2026-08-07T13:02:31.297004Z","title":"‘Grope cobordism and Feynman diagrams’","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:31.297004Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:3833f050b71d76a8074cb412409bd661009e4cdfdae3db1ddb0a5a291aa1cea6","observation_id":"df032144-4738-4afe-bb0d-201887152092","resolution":{"observed_at":"2026-08-07T13:02:31.297004Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:38.814414Z","title":"‘A geometric approach to the embedding calculus knot invariants’","venue":null,"work_id":"aa3a9394-c78c-45c3-b5ae-a603ab1a5dff","year":2020},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:31.378028Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:2cfa26a4fa1e481e5a247a18a14c2d6ceb322ca96b786d8adf1372faed74dc23","observation_id":"991ab6aa-7748-42f2-a9bc-2d468993cda9","resolution":{"observed_at":"2026-08-07T13:02:38.910257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4310/mrl.2000.v7.n2.a7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"De Concini and M","venue":"Mathematical Research Letters","work_id":"49f76c2b-8b76-4f45-aa0d-f754461a0e12","year":2000},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:31.426255Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:d75be9431a38744b11a9b3a7ec3a77d68cfad725497e382ecb3095df187a3ca0","observation_id":"b3a8bbb3-301c-4cc3-b02f-a1859397390b","resolution":{"observed_at":"2026-08-07T13:02:36.400318Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:38.621467Z","title":"‘Non-singular Simplicial Sets’","venue":null,"work_id":"c9849d29-a445-44da-b603-daae6458ad72","year":2018},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:31.552050Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:668b18453e9dab0940f16789d16795500677bed1b8d9578af7b04e9685586ecf","observation_id":"f718971b-e753-4360-b272-e8ecc632f5c8","resolution":{"observed_at":"2026-08-07T13:02:38.720411Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.7146/math.scand.a-10518","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Fox and L","venue":"MATHEMATICA SCANDINAVICA","work_id":"add16b01-c728-49b9-b63f-765653ca4db1","year":1962},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:31.651472Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:256de13721471672ae0fece8e5ba525cb5f5b1843630a7dad1736f0522aab917","observation_id":"ed870ae8-cb0a-45c3-bfdd-9538150a7d43","resolution":{"observed_at":"2026-08-07T13:02:36.268530Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1216/rmj-2012-42-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:36.048079Z","title":"‘Survey article: an elementary illustrated introduction to simplicial sets’","venue":null,"work_id":"16ebdc47-ef21-4262-b091-66538a47f5e6","year":2012},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:31.764447Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:57fc12295a6d2d8f1d25a8b2f4ef60c4d40c60bd491962130ccbc16fe51b7b65","observation_id":"3acc2225-543c-465e-8e42-d3072bdd3e6c","resolution":{"observed_at":"2026-08-07T13:02:36.122118Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-88-7642-431-1_12","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"‘Fox-Neuwirth cell structures and the cohomology of symmetric groups’","venue":"Scuola Normale Superiore eBooks","work_id":"829a1f76-20b5-4c39-8088-2e673815f5fd","year":2012},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:31.871660Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:f6b0fc0a4ebf34747f4aa88e0cfdb6e4406b2c780102707046ea2d6e6c5be3d5","observation_id":"b30d077d-e0cc-45f7-9e67-aa760cbbb535","resolution":{"observed_at":"2026-08-07T13:02:35.923857Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:31.948963Z","title":"Goodwillie","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:31.948963Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:88eee601c93863d3b0a5c43b7ab0d2e6d9c271e852308475fd240bc6ec62ce99","observation_id":"ef838552-9301-4f12-b443-9ca1cef5fee7","resolution":{"observed_at":"2026-08-07T13:02:31.948963Z","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":"2026-08-07T13:02:32.067508Z","title":"Goodwillie and Michael Weiss","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:32.067508Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:badcb6473d6cab9a7d24af3f523a96f560c5a647bc1746ba2f9f44a8f6b026b6","observation_id":"f9f60250-9284-452e-877d-8584c9973939","resolution":{"observed_at":"2026-08-07T13:02:32.067508Z","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":"2026-08-07T13:02:32.179758Z","title":"‘A new basis of polytopes’","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:32.179758Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:86f6704226ec27e5d521558dde77f047d30ad748a8ef7e4c83696b12ec41a64e","observation_id":"4a431614-22ac-41a0-9218-32f5a8cac3e3","resolution":{"observed_at":"2026-08-07T13:02:32.179758Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:38.387479Z","title":null,"venue":null,"work_id":"1d177e5d-f740-40e7-a555-c2bd7964ed34","year":2005},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:32.278407Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:758350b369e583689ad43d6d6f78604877d3ef5e69483c96e3161413e7ada1b5","observation_id":"e83e91d2-6396-4927-9196-6407d69f065e","resolution":{"observed_at":"2026-08-07T13:02:38.483451Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:38.136648Z","title":"‘Configuration spaces in algebraic topology’","venue":null,"work_id":"f2657adc-964a-4e60-82d8-17651498f753","year":2018},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:32.389511Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:0fc6cd781d3a6079e30964fb8cba8ae16d8cc07312e778e95d319f7b577803cf","observation_id":"52909b06-1947-4484-a697-43be346c3dc7","resolution":{"observed_at":"2026-08-07T13:02:38.242582Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:37.877385Z","title":"‘Embedding calculus and grope cobordism of knots’","venue":null,"work_id":"72e6efba-dce9-4d4d-bf3e-9af97bea24c7","year":2020},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:32.514739Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:f8228eaee8d39f5e4ab1d60251aa89ef63815122bf7e3818dc44c6f3665cd8e7","observation_id":"93038dc2-ebca-42f1-b129-c6287e25c1b2","resolution":{"observed_at":"2026-08-07T13:02:37.978854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:32.580629Z","title":"‘Acyclic Categories’","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:32.580629Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:54be9520609b73f2f0d866ed2ecc84da6603f315e50bf3908fa54fb102d19e24","observation_id":"c1d85007-6c91-457d-a0da-dbcd919900f8","resolution":{"observed_at":"2026-08-07T13:02:32.580629Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:37.660631Z","title":"‘The rational homology of spaces of long knots in codimension ą 2’","venue":null,"work_id":"ba524931-9b44-4879-9e61-5693cb0375e5","year":2010},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:32.700267Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:45967cd6b1b98d059c7d2a3781adc3b2db0f199f33d581dcd8087c542d68efe9","observation_id":"7deae2b7-bd11-4e6c-96e0-3c3df55d9509","resolution":{"observed_at":"2026-08-07T13:02:37.772107Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1501.02503","last_updated":"2023-05-21T09:14:34Z","snapshot_observed_at":"2026-08-14T23:04:30.394811Z","submitted_at":"2015-01-11T22:24:02Z","title":"Coend calculus","version":7},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1501.02503","snapshot_observed_at":"2026-08-07T13:02:32.914135Z","title":"(Co)end Calculus","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:32.914135Z"},"links":{"cited_paper":"/paper/1501.02503","citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:fda6976a65bef1cbfe528377425987fff7e8193895bc39aa7e37cd4654919106","observation_id":"a873a3f1-6074-492a-9016-5717cfca4a1c","resolution":{"observed_at":"2026-08-07T13:02:32.914135Z","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":"2026-08-07T13:02:33.017296Z","title":"‘An elementary approach to exponential spaces’","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:33.017296Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:8f9adfc81acd05a772e7eec3885ce9049133852fca5620a654ac281369aaae3a","observation_id":"0b4be594-20f5-4690-ae55-5ddaef8bfb68","resolution":{"observed_at":"2026-08-07T13:02:33.017296Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.16785","last_updated":"2025-04-23T15:02:19Z","snapshot_observed_at":"2026-08-16T10:53:48.454287Z","submitted_at":"2025-04-23T15:02:19Z","title":"Non collapse of the Sinha spectral sequence for knots in R^3","version":1},"cited_work":{"arxiv_id":"2504.16785","doi":null,"metadata_source":"pith","pith_arxiv_id":"2504.16785","snapshot_observed_at":"2026-08-07T13:02:36.935186Z","title":"Non collapse of the Sinha spectral sequence for knots in R^3","venue":"math.AT","work_id":"a1b87128-16e9-4a06-a567-576f25682e8a","year":2025},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:33.125051Z"},"links":{"cited_paper":"/paper/2504.16785","citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:89ff45d46bb9429f690927b0f4b56d13b20d20e4741976c0b90515e63a85bcdd","observation_id":"c254219a-1fbc-408e-a50e-cdb2608d3688","resolution":{"observed_at":"2026-08-07T13:02:36.986517Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:33.226299Z","title":"McClure and Jeffrey H","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:33.226299Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:7c037e834ab739b2742851d5f0f021d5545828b95baef3f7fe83b7406884ac76","observation_id":"f8273265-dfbc-4084-9ce0-85ce607fcc1b","resolution":{"observed_at":"2026-08-07T13:02:33.226299Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:33.290430Z","title":"McClure and Jeffrey H","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:33.290430Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:500aa7e7bf0210d9fe150a30070d1844ec4d7faecedd1b7e63813359f84660e5","observation_id":"40fdab05-e435-4836-b49a-5e57c122ce1f","resolution":{"observed_at":"2026-08-07T13:02:33.290430Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.2307/1969967","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"‘The geometric realization of a semi-simplicial complex’","venue":"Annals of Mathematics","work_id":"4d2c85d7-dd26-495f-9dac-998984c8fa11","year":1957},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:33.351710Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:fc1cdb8fd4c1b5cf898a0f773430e02a1c5953c06aae4b11f0f8df41a4c75ee8","observation_id":"6c3edb7e-4202-419f-8ece-5683702a4444","resolution":{"observed_at":"2026-08-07T13:02:35.724384Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4099/jjm1924.33.0","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:35.504213Z","title":"‘On cohomology operations’","venue":null,"work_id":"144244f9-6f97-4c59-b22e-bf1d1bf0940b","year":1963},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:33.434427Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:0890f4330b24bdd9059bdfeccad853c9d5d3dd79c50e52f095568d975769f387","observation_id":"73170daa-ee00-455d-872c-32ba283569e7","resolution":{"observed_at":"2026-08-07T13:02:35.563493Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:33.526734Z","title":"Categorical homotopy theory","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:33.526734Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:c4fb7e9c945d5ab9532750fdf2e3f42909174a5b4a194ccc608a0defc50ca0b6","observation_id":"a26c9925-b91a-4c15-8891-7a7ae5ac3739","resolution":{"observed_at":"2026-08-07T13:02:33.526734Z","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":"10.1093/qmath/hay063","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"‘Planar non-formality of the little discs operad in characteristic two’","venue":"The Quarterly Journal of Mathematics","work_id":"905cdf70-3484-4ccd-9392-11f3d0b7f35a","year":2019},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:33.598012Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:be479be365113eb5c83747e64913ccfb68be606e84f823165a51c120a5b8d9a5","observation_id":"8afec163-6dfd-4cf9-9b5d-368e7aa5dca8","resolution":{"observed_at":"2026-08-07T13:02:35.409550Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:33.721603Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:33.721603Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:0c2e74074d11e2836054a4251b667698911b7b94f6e41770daa301930e239356","observation_id":"d0e26f70-d1c3-4243-bdf8-b1203101c92d","resolution":{"observed_at":"2026-08-07T13:02:33.721603Z","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":"2026-08-07T13:02:33.859695Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:33.859695Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:8ca9912e41a18c855a1d020083d91cf53dfdc496c937016fea0f5db22ca97084","observation_id":"e8405e04-5638-4d2d-b22c-f11474f7137d","resolution":{"observed_at":"2026-08-07T13:02:33.859695Z","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":"2026-08-07T13:02:33.989265Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:33.989265Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:a1992c636aa2250bdd9e8c3ad122ec8c72ade3d363f304b78710e643b624a812","observation_id":"73e66ee5-4629-452f-80d4-62be0f78965e","resolution":{"observed_at":"2026-08-07T13:02:33.989265Z","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/agt.2013.13.2193","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"‘Formality of Sinha’s cosimplicial model for long knots spaces and the Gerstenhaber algebra structure of homology’","venue":"Algebraic & Geometric Topology","work_id":"8f1f31be-6a63-4f38-9e62-735efaa9b097","year":2013},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:34.081699Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:3ab6a137a19402198ebe76d3807a0faa2b3771976686a7f587d96a13e68316d1","observation_id":"d31e9bd9-fa6d-427b-a5ba-f060347ffab6","resolution":{"observed_at":"2026-08-07T13:02:35.289456Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:34.202203Z","title":"Tourtchine","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:34.202203Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:3a1d26d9a1e1f8b194e97d3eb5cfe9babbd075b277ad9389c862134cc6a56277","observation_id":"9b6b038a-b847-40c5-b821-576facf43b4c","resolution":{"observed_at":"2026-08-07T13:02:34.202203Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0502518","last_updated":"2005-04-18T09:38:52Z","snapshot_observed_at":"2026-08-08T13:40:13.865323Z","submitted_at":"2005-02-24T16:05:55Z","title":"Calculus of the first non-trivial 1-cocycle of the space of long knots","version":2},"cited_work":{"arxiv_id":"math/0502518","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0502518","snapshot_observed_at":"2026-08-07T13:02:36.815277Z","title":"Calculus of the first non-trivial 1-cocycle of the space of long knots","venue":"math.AT","work_id":"2ad39f6f-b9d5-4d2f-b4be-d4c594f71e8f","year":2005},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:34.270217Z"},"links":{"cited_paper":"/paper/math/0502518","citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:67897e391822f389b7f8d4c2fb57b48939f139bc79f4ca8ce9326b83bfdfb8ab","observation_id":"33d96124-1d01-4641-bc52-d457d37ee918","resolution":{"observed_at":"2026-08-07T13:02:36.869791Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:37.370864Z","title":"‘Relative (non-)formality of the little cubes operads and the algebraic Cerf lemma’","venue":null,"work_id":"34bc3600-ee7f-43b8-82f1-2c24ee4ba32e","year":2018},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:34.383935Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:8c1950a9f042f6a6bc308d9a9a2e67e6479157bb219146cf2f8616be9f34255b","observation_id":"61912835-7dfa-41d3-a9e1-d5755a2f2888","resolution":{"observed_at":"2026-08-07T13:02:37.511817Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:37.069508Z","title":"Homotopy Theories (notes)","venue":null,"work_id":"225b5c04-9875-43bd-8133-f58aae394acc","year":2018},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:34.527330Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:d65ca20b2eaf660e8305bdc82d1c87321c403145bcc46b6bc5b394747bed26d2","observation_id":"03959ff0-6411-4d75-be31-c839d16fe1a7","resolution":{"observed_at":"2026-08-07T13:02:37.208712Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1090/s0077-1554-05-00148-2","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":null,"venue":"Transactions of the Moscow Mathematical Society","work_id":"68917193-ea76-425d-845e-952f33b4a6fb","year":2005},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:34.612272Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:aa1f59311f43b1d6f91139d29bbdcf9fa71bf0acef0b3efbb478c1763021618d","observation_id":"c4e0654a-56f4-4f9e-897d-b1b76d8b257e","resolution":{"observed_at":"2026-08-07T13:02:35.176561Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:34.666975Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:34.666975Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:e5fb32fa4c388acf19d8534efd0df2c8845b6941ee4a42cce3e18e732473cb01","observation_id":"190c2c44-8e1d-4a18-9ee3-4f5ae31f90aa","resolution":{"observed_at":"2026-08-07T13:02:34.666975Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:34.717060Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:34.717060Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:8b819e768c46b0da26356ab1da7101f93396a2747912e42e96133df52ba287de","observation_id":"2f58ff83-ed4d-4c2e-9165-19c298a966eb","resolution":{"observed_at":"2026-08-07T13:02:34.717060Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0601268","last_updated":"2006-01-12T00:00:14Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2006-01-12T00:00:14Z","title":"Calculus of the embedding functor and spaces of knots","version":1},"cited_work":{"arxiv_id":"math/0601268","doi":"10.48550/arxiv.math/0601268","metadata_source":"pith","pith_arxiv_id":"math/0601268","snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Calculus of the embedding functor and spaces of knots","venue":"math.AT","work_id":"1cf00ff2-49fc-48ba-a885-b3c0f451e9ab","year":2006},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:34.788020Z"},"links":{"cited_paper":"/paper/math/0601268","citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:1cdd7230695fa66b6703b8e46ffebcf707f1fe250395a6d8611fa7f682d707ec","observation_id":"0cb40068-4fb1-458a-859f-124f4d3426a7","resolution":{"observed_at":"2026-08-07T13:02:35.050294Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:02:34.878241Z","title":"‘Embeddings from the point of view of immersion theory","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:34.878241Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:4343116a0a4833f3605d8aa6788570a3cef9e0e0fd006d7082b93ad7045baeb3","observation_id":"e29b38e1-cb9d-448e-a4dd-2627af9dd542","resolution":{"observed_at":"2026-08-07T13:02:34.878241Z","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":"2026-08-07T13:02:32.809186Z","title":"url: https://doi.org/10.2140/gt.2010.14.2151","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":380,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:32.809186Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:48faac3571bd4be7ef12627141e232aba098cdfab4d35ace420515c921eb0cf1","observation_id":"e261f9a3-ef83-47dd-8bc4-4abe8dd86860","resolution":{"observed_at":"2026-08-07T13:02:32.809186Z","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":"2026-08-07T13:02:34.458456Z","title":"url: https://doi.org/10.1353/ajm.2018.0006","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence","version":1},"reference_index":6377,"source":"pdf_text","source_observed_at":"2026-08-07T13:02:34.458456Z"},"links":{"citing_paper":"/paper/2505.22958"},"observation_digest":"sha256:ae59a3b52fe0ba783fd06f738c0b36ed9b166b7185d5c11ebbadba1da3fab77c","observation_id":"b620f472-7e90-43f3-9f4a-2c3c97c880ff","resolution":{"observed_at":"2026-08-07T13:02:34.458456Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2505.22958","last_updated":"2025-05-29T00:51:18Z","latest_version":1,"primary_category":"math.AT","snapshot_observed_at":"2026-08-17T11:09:47.837150Z","submitted_at":"2025-05-29T00:51:18Z","title":"A Fox-Neuwirth Basis for the Sinha Spectral Sequence"},"reference_resolution":{"displayed":43,"state_counts":{"malformed_identifier":8,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":15,"verified_exact":13,"verified_fuzzy":7},"total_outbound_references":43},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2505.22958."}