{"as_of":"2026-08-04T07:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7b134b50e1b60df45ae7071d910dcd2ba922c4ec756125552fc3393b65a01fbe","coverage":[{"denominator":68,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":68,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-24T14:57:37.727465Z","state":"measured"},{"denominator":69,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":69,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-04T06:34:03.388597+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-24T10:44:30.648205Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-05-24T10:46:08.169986Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"cited_work":{"arxiv_id":"2008.13161","doi":null,"metadata_source":"pith","pith_arxiv_id":"2008.13161","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Poincar\\'e duality for loop spaces","venue":"math.SG","work_id":"f0261bb2-081e-4746-8539-88dfc5ea034f","year":2020},"citing_paper":{"arxiv_id":"2209.02972","last_updated":"2025-11-03T22:02:48Z","snapshot_observed_at":"2026-07-31T08:03:42.124821Z","submitted_at":"2022-09-07T07:34:08Z","title":"Reduced symplectic homology and string topology","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-24T10:44:30.648205Z"},"links":{"cited_paper":"/paper/2008.13161","citing_paper":"/paper/2209.02972"},"observation_digest":"sha256:2415f4fb96a3302d10cf4ced4ec9fe2fe288db8f269c1fadf6bfee0f77c97d5c","observation_id":"1203118a-ee2f-4c01-b5f5-ec3fe5bd417b","resolution":{"observed_at":"2026-05-24T10:46:08.172403Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2008.13161/citation-record","integrity":"/paper/2008.13161/integrity","json":"/paper/2008.13161/citation-record.json","paper":"/paper/2008.13161"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Abbondandolo, A","venue":null,"work_id":"37a825d6-af1e-41e1-a926-96c553616924","year":2008},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:29eff8856bff6aad67f2e937f6ea5ba61865936a6e27beb8bb8ca029d7938c47","observation_id":"db3df25b-70c3-4ac4-9a15-99e1945d3a5c","resolution":{"observed_at":"2026-05-24T14:59:37.172707Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Abbondandolo and M","venue":null,"work_id":"7760b7fd-a4e5-4da6-9be7-9e4dac15ae6d","year":2006},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:7df51220d67cc091a1421975f95f6e3ed0c14f110b9ace6928e8b8b8587ddaf6","observation_id":"25594f05-f43e-4058-bfdb-15e03232b4a0","resolution":{"observed_at":"2026-05-24T14:59:37.248901Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Abbondandolo and M","venue":null,"work_id":"acb4b1db-21fa-4e0e-92cd-7feca001d476","year":2010},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:dd1f7cfa141f013d5247308e7894be0f9045bf6686fa68bc1aeb684d2b4ae082","observation_id":"481d683c-33f9-4ab3-8c3a-070c786c8ecd","resolution":{"observed_at":"2026-05-24T14:59:37.202806Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Abbondandolo and M","venue":null,"work_id":"535f5370-ceb6-4e28-a974-621ab76ec97e","year":2012},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:6945964e04dd4d701be3c233c0b87fbca72cb762d3498dd2e9fbd57c06a4eb93","observation_id":"a7a1717f-666c-48c3-b671-ec186a313446","resolution":{"observed_at":"2026-05-24T14:59:37.165195Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Abbondandolo and M","venue":null,"work_id":"46833f26-34c8-4567-a81c-93af966ec508","year":2014},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:568a0c2185b5653b0d850f2ecc964f91948c0fb9d0a9ae18998bafd96fed2659","observation_id":"8cd4a5a8-caa4-4607-ac08-4bd9e3774200","resolution":{"observed_at":"2026-05-24T14:59:37.147198Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Abouzaid","venue":null,"work_id":"5d84c45a-db13-4b5e-8195-36db90239c71","year":2012},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:80caae181094834095c85b135a46b7d956ac8c58cae8e8593ff1894c4be5c22e","observation_id":"40c7e522-1e43-4711-9d53-9dda1318426e","resolution":{"observed_at":"2026-05-24T14:59:37.337904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Abouzaid","venue":null,"work_id":"e6ef7201-bd71-45b7-a858-36a62a43bc03","year":2015},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:b43e90ffe344234937dc62c9f81d9d640afd5dd4334c33efaa29e6976125420d","observation_id":"584fbb87-4ce4-4a15-943d-e4483b51fe60","resolution":{"observed_at":"2026-05-24T14:59:37.231059Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Alexandroff and H","venue":null,"work_id":"21560e86-59a9-47eb-ada6-2927f4a14884","year":1974},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:14d9dfacb474536cb20c6d45670855eba4b369d5f41ee9fbe9be53bfe2995ff3","observation_id":"3fc84b1a-0699-4a0d-a713-bd1752ced8f1","resolution":{"observed_at":"2026-05-24T14:59:37.192914Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Banyaga and D","venue":null,"work_id":"23155eda-5596-4511-9fd0-13ce6c359843","year":2013},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:bb4360fd75d5d6116d70a1c5eb2e235877ad9c72110fce7f5d58510ab5a50a39","observation_id":"07bde9ae-742c-4505-8214-0098dd09ffb8","resolution":{"observed_at":"2026-05-24T14:59:37.185716Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"7f5e38e1-92e7-49b6-88fd-fab97946e103","year":1978},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:74f2ccb8976d2f2686f3cc259cb28222fae9f49e4862904dd05796172b2abacf","observation_id":"2796ff0d-f7d3-49a1-94f6-947550a8d248","resolution":{"observed_at":"2026-05-24T14:59:37.175739Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"333ddae6-7637-4a07-be27-e7083cdff193","year":1956},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:5a0c64b8813a17d1eae510dddc0cdc779c3338a05940decf695cf174a8d33a51","observation_id":"d22e3ac1-ed37-450c-9f5d-af65157af1ac","resolution":{"observed_at":"2026-05-24T14:59:37.158949Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Bott and L","venue":null,"work_id":"a3fa5fe8-6343-48a9-8014-549281fca731","year":1982},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:d6c78f6179ba5a84a72b1e3ab89af104db9cfde16da108c93cbe6fe5f5f9148d","observation_id":"c6c0f9e9-c564-44a8-abe1-866a49c59f65","resolution":{"observed_at":"2026-05-24T14:59:37.150225Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Bourgeois","venue":null,"work_id":"4fd7a9b2-6ddd-4832-a722-796eabb16f7f","year":2001},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:7f8d7f0d632c56f0189d0d1b509a7d765d74007097e25226f9fd527760401397","observation_id":"fb4db1ae-913b-4575-bfde-c9c8d6dbaab2","resolution":{"observed_at":"2026-05-24T14:59:37.144760Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Bourgeois and A","venue":null,"work_id":"6e2977d4-1a61-4f3e-980b-be81052fd2db","year":2009},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:4e0d78aa7b796aadfe38deb9357390dc92831f6ad374f2d2b2665500c08ccb1b","observation_id":"00bf00de-5993-402f-bae1-ab35ab11ae39","resolution":{"observed_at":"2026-05-24T14:59:37.296331Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/9911159","last_updated":"1999-11-21T00:45:42Z","snapshot_observed_at":"2026-07-07T06:11:54.997248Z","submitted_at":"1999-11-21T00:45:42Z","title":"String Topology","version":1},"cited_work":{"arxiv_id":"math/9911159","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/9911159","snapshot_observed_at":"2026-07-04T05:59:36.978306Z","title":"String Topology","venue":"math.GT","work_id":"2a4e01d5-4f28-48e8-8dc2-b1a06f0646df","year":1999},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"cited_paper":"/paper/math/9911159","citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:0affe8066f1f6e60ac5904d0f8510e7ee564579679de440e7badc1bb327651ca","observation_id":"21e43818-be69-4416-a944-31dbfe8df038","resolution":{"observed_at":"2026-05-24T14:59:36.331789Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Cieliebak and U","venue":null,"work_id":"70565bd8-5a2f-420d-a3a3-674b5941fbd8","year":2009},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:120de9b458c42580524964568da3dadb1e0aaa7296eae2357f33d7073f25d817","observation_id":"44f2b316-c92a-4df5-8bb0-b94effa98653","resolution":{"observed_at":"2026-05-24T14:59:37.257076Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Cieliebak and U","venue":null,"work_id":"35d57503-58d8-4e42-8905-a76c3018b946","year":2011},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:4d6dd9f03307bdb2f2a7f13d9e3290a8ae1eaf0753314fe86bc4ce881f8db8ad","observation_id":"ac490bb1-cbb1-4bd5-a788-f2bd935e95d4","resolution":{"observed_at":"2026-05-24T14:59:37.208751Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Cieliebak, U","venue":null,"work_id":"54a73ccc-d1dd-40f8-985b-1b768326f72b","year":2010},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:4b5072efaf68d7fa0ae2f56b6f0ae52be8f1f4a304c7021f98cd8919d41bd567","observation_id":"d09d11ae-7f93-4324-89a6-338af9cd2e5d","resolution":{"observed_at":"2026-05-24T14:59:37.199564Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Cieliebak, N","venue":null,"work_id":"7ca16ee0-534e-442d-9a50-5dba8a5d51e6","year":null},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:42ea26557cd8c810a850a66e80ffe88bdb0f8f7541304e466f064195dee53d50","observation_id":"2e4c7802-c1a2-4e6b-bfd7-87e52aab0809","resolution":{"observed_at":"2026-05-24T14:59:37.188767Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Cieliebak, N","venue":null,"work_id":"a5b44ead-10d5-401d-b6bc-0c1be7049ae9","year":null},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:33ff4a99fddd70545c12f856f6f02f21c7c1e75cd3b18e4f7a9cffe821814199","observation_id":"62fdd4d2-cc1c-4e96-9a53-28f593b9dc67","resolution":{"observed_at":"2026-05-24T14:59:37.182535Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Cieliebak, N","venue":null,"work_id":"c81ffc6a-380d-4f9f-9541-49999a4bcb79","year":2020},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:633b38a448363ffbc3f8d01ada9f2066bab6e6990e76734095e2df5937a44866","observation_id":"24108d88-e56d-4138-9ed6-ef688d50504d","resolution":{"observed_at":"2026-05-24T14:59:37.178983Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Cieliebak, N","venue":null,"work_id":"7b3cd384-fd8a-41d2-bd8f-7da7380753af","year":null},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:6ae4c189ec257a9d51f0f1360f66172df6ce67e8571f73dbdd7b3f4836f316cd","observation_id":"7a4f3fe4-a0c9-4288-b5b3-121391bb7ba7","resolution":{"observed_at":"2026-05-24T14:59:37.168970Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Cieliebak and J","venue":null,"work_id":"31970d17-865e-4ac6-94fb-24c40a84e91f","year":2009},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:aff19845baf788442e96f3b79ab01de4a277c7b496a60795e47c6efe123647c2","observation_id":"95aaa80b-cc39-4e02-8ee4-19514a152cfd","resolution":{"observed_at":"2026-05-24T14:59:37.162139Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Cieliebak and A","venue":null,"work_id":"ecf9e2c6-eeef-49d6-a92d-2bdd72d2e6da","year":2020},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:42734d93f45710d5e492de0f304aa99d9e062b4f92dd7ce26d335d6b6c390a04","observation_id":"81ac3afe-c832-451c-823a-b9968967754a","resolution":{"observed_at":"2026-05-24T14:59:37.155783Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Cieliebak and A","venue":null,"work_id":"6a6b3c09-1774-4669-ad62-42a805c09bc7","year":1953},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:a08cdd204a044a309c0697203f254421aaa6d2021fb2176a6bca0109132553c4","observation_id":"1be48931-9e92-4880-9063-77246779efb1","resolution":{"observed_at":"2026-05-24T14:59:37.152981Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4290a4e5-2cd6-4407-ba00-f0836fe31d1f","year":2001},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:3c066f464cddca4c33f060e754a61eeafb030a7dfc1734a9c8575c84a0ca8b71","observation_id":"24db4d3c-7219-4115-bb36-4b10090ddcdb","resolution":{"observed_at":"2026-05-24T14:59:37.335104Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d1d88789-39ef-47e6-9f7d-c103d23f13ca","year":2009},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:a6a6a3cdc0dd27d4b295f6853de0ab0baf112e52cef262d64450020ebb4aa421","observation_id":"29c39fdf-97d1-442d-abbe-dac28eddf786","resolution":{"observed_at":"2026-05-24T14:59:37.329274Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4ed5c205-bef6-4b03-8298-0fc21b808594","year":2008},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:dca0f25fa2b02314600088f528b989f71de84a2f8c9a5e0c4d85e442efaf731b","observation_id":"73104ff6-0f0d-407d-aa85-afd8fd85b77b","resolution":{"observed_at":"2026-05-24T14:59:37.323017Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"675244f9-ccfb-450c-b9dd-8cecaa2e301c","year":2008},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:2f854be07954dc51e05755a38af81a22e6ccb318b0d48981414abfd6e7d37bb0","observation_id":"4aeccc2a-519f-47bf-9f6a-611b2b0b899d","resolution":{"observed_at":"2026-05-24T14:59:37.319843Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Ekholm and A","venue":null,"work_id":"28e4f37e-9523-4b65-a5fd-7f13daefe435","year":2017},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:6f640d6b7b139e2161a6c37957c5ce0ed5fd8ee657af1780e87f9e10fc6a1f82","observation_id":"7f8ee134-ff62-49f6-a667-a077041373ec","resolution":{"observed_at":"2026-05-24T14:59:37.316801Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Frauenfelder","venue":null,"work_id":"5c570a85-b0bf-49f7-bc1a-374620d5dc4a","year":2004},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:60d3fd19fbcf85240c43ef9d95a74207b979db46eb29c3fd6fffc6e83e03ec86","observation_id":"60bd70bc-8ac3-4a80-9372-92ea003b09a0","resolution":{"observed_at":"2026-05-24T14:59:37.313544Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Freudenthal","venue":null,"work_id":"9fea1134-0db0-4d5a-a563-1b0c622a1f62","year":1937},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:70fb5579bc28eec12b9472407d1392b75c3abb63f7975c118112fc51bc0b6594","observation_id":"51d968a2-14b1-451d-890c-6bb6223df9bd","resolution":{"observed_at":"2026-05-24T14:59:37.310693Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a1c5fd72-7b7f-4e0a-9562-c54b2b7dbb83","year":1984},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:f412bcd3ae970de53528044c6dc913d81d86bd2f1f3f08b678452b716200230e","observation_id":"ac1f7248-e371-4efc-a132-29007438df0b","resolution":{"observed_at":"2026-05-24T14:59:37.305039Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3f44e932-9fe2-481e-91dc-334905e156b5","year":1990},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:f4bdf49e68eb452fd834172a452b4c7b7dca87fdab49efe88b42894df2a70f38","observation_id":"b6c41a62-7e70-40ad-8cee-573ab54f0a58","resolution":{"observed_at":"2026-05-24T14:59:37.302035Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1022b66e-350b-43c3-bd5f-db3bceebefb2","year":2010},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:9dbf0993f14fd8995706919ce56929f805cd5c7150ad5fe8504950d1f7344297","observation_id":"05897d89-804a-4529-833e-f94b67b950c3","resolution":{"observed_at":"2026-05-24T14:59:37.299325Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"cea187d8-c228-48f5-8276-8ea7b2c5c720","year":2010},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:392e91a16d516331284a35b8f79f1e21ed1ce0bef2170459fb2e15bbe3d033e4","observation_id":"0f4e79c0-2288-4fa3-9d4c-bfe7c35476e6","resolution":{"observed_at":"2026-05-24T14:59:37.292379Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"857a50cd-6aa7-4c49-8d41-c085ed0bcffa","year":2019},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:f93cfbae67af23a2d16f159d60cda1874274e401056ad4d1af3fc162aef70056","observation_id":"0aec3aa2-98e9-4c36-92b0-e2f08ead788d","resolution":{"observed_at":"2026-05-24T14:59:37.289689Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"22acf01b-105d-4728-99d4-5607e2b4ed8b","year":2013},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:63f079eafbd488812cb562d441f63d6100f1e21aa863e03b18cd48bc73010409","observation_id":"eddee628-b7d4-4c9e-9f45-3937ae40304f","resolution":{"observed_at":"2026-05-24T14:59:37.287209Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Goresky and N","venue":null,"work_id":"7ce9d3b7-ed76-4dbc-931b-8a9954215974","year":2009},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:6a59a4c479f7d36382ec98d94c57cae63909f2d730ec7ba94ed5ad2a478bb048","observation_id":"96025a35-4433-4a2c-8190-03bad215d700","resolution":{"observed_at":"2026-05-24T14:59:37.284590Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Gruher and P","venue":null,"work_id":"883b3da5-7eb4-41b3-819d-1a3f8aed0537","year":2008},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:0f21ae2a4144d8174e3342926a42276d6b6e0a2d6a31b0f563395e6db6af26fa","observation_id":"eb222583-84c9-4a01-b398-4fcdbfab9f56","resolution":{"observed_at":"2026-05-24T14:59:37.281561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f5240b27-9e5e-424a-a3d0-009eba315fa6","year":1942},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:2428facb73cd30815f68231cd62b96436de7499cb362062c76cbd353d34e0416","observation_id":"f25a2ee9-6664-4d43-8e24-5b1a463336ec","resolution":{"observed_at":"2026-05-24T14:59:37.278851Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"47b1ab7f-d958-4224-8cc9-4aa538873ee9","year":2019},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:896cc40f294852bbd86e417b49b441a6b01601b56106733969364564d067487f","observation_id":"35801161-424f-41b9-b42e-a85df98e7189","resolution":{"observed_at":"2026-05-24T14:59:37.276153Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Hingston","venue":null,"work_id":"d4b748b6-c948-4c4c-879e-20f8c00da428","year":1993},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:5bf9da35767be620294cfd8ce70818cf71e03ab94205abe57dca25fdc008d2cd","observation_id":"555a02f1-9953-4ac6-b900-c84eba522fa8","resolution":{"observed_at":"2026-05-24T14:59:37.273465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Hingston","venue":null,"work_id":"5c1ffc5f-82c6-45db-a1f0-1e39590314fe","year":1997},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:b294ee822e42334fcb1b81ce522d2d1594a6d59d6a8a0841ea962a6a6d97d6be","observation_id":"e306c103-0722-4cda-83e4-51e646fa91b2","resolution":{"observed_at":"2026-05-24T14:59:37.270845Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Hingston","venue":null,"work_id":"48bb2a3a-d83e-4667-b782-885f57e7b801","year":2009},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:2659145604aad5baf113119942f715298755e83a6d341900c6a6cf1e4d8e8daa","observation_id":"eb47075a-89ea-42b6-9648-9598e4037410","resolution":{"observed_at":"2026-05-24T14:59:37.268030Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Hingston and H.-B","venue":null,"work_id":"420f5f44-c014-4192-ac5f-dc2e7204d2b9","year":2013},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:b06b294e7bcf78283c47ac4070380771910dca52d0cfaecd60ac7f0f3e9e6c86","observation_id":"e292bfbe-d2d6-4f4f-b633-4141a825a42a","resolution":{"observed_at":"2026-05-24T14:59:37.265364Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1908.03857","last_updated":"2026-07-06T21:02:03Z","snapshot_observed_at":"2026-07-10T23:17:12.457112Z","submitted_at":"2019-08-11T05:51:12Z","title":"On the invariance of the string topology coproduct","version":5},"cited_work":{"arxiv_id":"1908.03857","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1908.03857","snapshot_observed_at":"2026-07-08T01:18:16.151788Z","title":"Hington and N","venue":null,"work_id":"6898d138-764c-4729-9ea3-77a7a7bc2a07","year":1908},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"cited_paper":"/paper/1908.03857","citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:5ffb7cf0de0bd2aff2cc47f53a62b7c273a294d7730b2858f3c4f54a17b39b59","observation_id":"d77948b3-898e-46a1-831a-332ab35caa6a","resolution":{"observed_at":"2026-07-08T01:18:16.151788Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"dfbe112f-6525-46c9-95de-f52c410f26de","year":1930},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:aeac1e155f7fceb62d1b717606fd8a739b75af8d8cea44c12afaf20ed6f05d2a","observation_id":"df7aec10-a553-4adc-bd25-d10384e5765e","resolution":{"observed_at":"2026-05-24T14:59:37.262498Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a29bac55-2d6a-4f85-8de2-872f92dd6628","year":2018},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:5f2a8066fcf5691de8cd0cfb665c98e82dd692f43bf2cdf961a04933e7b1d051","observation_id":"4d58c73e-bdd1-442d-a741-680c59a257ef","resolution":{"observed_at":"2026-05-24T14:59:37.259714Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"24294446-0020-47c9-94fa-a945308fce6f","year":2008},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:d392b38da4edafb9d3f2e7b2e64d10d3370a11f0d8a240bc64a6aee7a4d3ecde","observation_id":"73da3a4a-365a-4b2a-b770-6ddc2299d51c","resolution":{"observed_at":"2026-05-24T14:59:37.254327Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Liu and Y","venue":null,"work_id":"b6412a83-5110-4279-9daf-f1e30f9a3d59","year":2000},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:a306074ca735c3b733a5ba58d86d3e7a97a1ef32b161cfa85f0a57388e07d598","observation_id":"a2101b2f-0c1c-4945-bc00-ef6dfe0dd81a","resolution":{"observed_at":"2026-05-24T14:59:37.251733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4eab7e7f-4bbd-4543-9313-4c796f14ac8e","year":2002},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:7dc4ed1665e4138966fae5042ffa4c0d0d2ebbeedfc603978c274b655de5b280","observation_id":"538cf0e5-b08f-4305-ba3a-1a8c5761c65c","resolution":{"observed_at":"2026-05-24T14:59:37.246042Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"bddd3795-73b8-467b-bc05-91e41a87509a","year":1901},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:e6196cfa0633b4228ae83492351fb16ec0639faeee0a476b0a71a1caf1addc1b","observation_id":"2040bb51-c24d-4c60-af13-1165fd275303","resolution":{"observed_at":"2026-05-24T14:59:37.307844Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a8e231ed-cdef-497b-b9f0-63fb370b3458","year":2014},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:926dcfbde2221a9698d460f1efa245079fac0ed93ce9cfe304a733abb4c129c4","observation_id":"d5fb583c-148b-4205-9bd4-0dfc70816ea8","resolution":{"observed_at":"2026-05-24T14:59:37.196679Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"23b028ee-44c3-45ef-9eef-aef5dbb07600","year":2003},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:d5dacc3790963aecede435cf9d001067a0913b6a79ff7de02fd8fcee566d9745","observation_id":"8aaa4310-4c7c-44b9-96bd-c0486ea35951","resolution":{"observed_at":"2026-05-24T14:59:37.243258Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"77aabe3d-6957-4bc4-ab78-d7d6b1ed101d","year":2008},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:856efa795bf067bbe151d7ed9d33e077a121f1643abea5457923f2af63fe7578","observation_id":"258b289f-23c5-4a64-b496-0a70994dab8b","resolution":{"observed_at":"2026-05-24T14:59:37.240098Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"09125752-c15c-4e35-9c7e-1211696bc9e7","year":2013},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:992da2ea1c7d702baadf5e59d622cdcd181881fd49564bf92ce9c0ba29b1caa9","observation_id":"57820c72-c730-41de-b7ab-fb48ca852964","resolution":{"observed_at":"2026-05-24T14:59:37.237111Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Salamon and J","venue":null,"work_id":"d3af26a2-cf8a-4f6d-8724-ad64a28fab92","year":2006},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:147cd0d95d6bc6a52a012cd119d18243f405d1ca0a7f10f05f32881571e2e6c9","observation_id":"22079059-65ff-43dc-a498-c07dddf725c5","resolution":{"observed_at":"2026-05-24T14:59:37.234116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Salamon and E","venue":null,"work_id":"6a5a1409-8213-4d48-bc8c-0a2a57bc95dc","year":1992},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:6184b3f30113f27c7a50c27faf6541b5ece27932d7b10b0b94f374270aa5e68d","observation_id":"d882eeff-d724-4e99-afe5-bdb729dd034b","resolution":{"observed_at":"2026-05-24T14:59:37.326032Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f4bd5914-2115-4ecf-b75f-5b57a1eeaea4","year":2006},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:bc61d47714d1dcccb6704a5552d457609ec07f29e87307b4fb399c65f8ae6e41","observation_id":"66ca56bb-6869-4cba-bb3b-2085d51520c3","resolution":{"observed_at":"2026-05-24T14:59:37.228053Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"444304aa-a87c-4a54-8d01-a9061ca53a2d","year":1951},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:236d1ba8cc251b25a6579ddd2293ca52eb6678020720b240284cb09d1d0aa8cb","observation_id":"3c1a8893-3f0a-4845-8d92-96af3c630e62","resolution":{"observed_at":"2026-05-24T14:59:37.332370Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1904.06798","last_updated":"2020-04-24T22:37:29Z","snapshot_observed_at":"2026-08-03T15:46:52.626783Z","submitted_at":"2019-04-15T01:02:15Z","title":"Symplectic cohomology and a conjecture of Viterbo","version":2},"cited_work":{"arxiv_id":"1904.06798","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1904.06798","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Shelukhin","venue":null,"work_id":"4ebb5e91-9be8-45e1-9728-dead896ffaa2","year":1904},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"cited_paper":"/paper/1904.06798","citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:bfbf76a01087b56e77b1716923d9cf32e02a358783bb754a65c304f8ae7f86d6","observation_id":"7d6cb912-c45f-4328-9d3f-b52ac58aa98c","resolution":{"observed_at":"2026-05-24T14:59:36.326665Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Steenrod","venue":null,"work_id":"696197c8-a4ee-493c-92d9-dde488cf91ce","year":1999},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:14234493a1a0a8d10aab97c24c3a866a3cfa0ac6b21915dee3085f33ac6d516b","observation_id":"b5040504-df22-4929-8c2c-600081bad6fb","resolution":{"observed_at":"2026-05-24T14:59:37.224365Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":"Sullivan","venue":null,"work_id":"21bc165a-baa4-4fd4-95f3-eedf5a14506a","year":2004},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:e2dda0dd71feb67605c8d95334b2c77b58e2bb96d9f0923cfbe711afb634d5d7","observation_id":"5f99c804-97be-460a-9933-a3f5159c96ac","resolution":{"observed_at":"2026-05-24T14:59:37.221340Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"c2b2809f-3f5f-4379-aeae-00844ee36d03","year":2010},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:ebaa1e76555228eac5f0514bd6ae67c10c3fe8f15fdd8f24bd970412155d7c7e","observation_id":"05b8e3c3-fb03-472f-b83b-3a3a4abaefbb","resolution":{"observed_at":"2026-05-24T14:59:37.218217Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"cdf33a3f-bf36-4747-ad31-cf6164991313","year":1950},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:437d912a3a4c4144c456d017759b79f8a243739ec08221cb38f64337d44c05bd","observation_id":"41ad64cd-6d2b-43c8-ba54-96762f079cfa","resolution":{"observed_at":"2026-05-24T14:59:37.215027Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"0f577ee3-7485-44aa-aaaf-566c9ad72adb","year":2019},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:299543ec5b7332e29928f1d194bfd4d182737ff0239760dbce7b332cfa38c211","observation_id":"335de67c-f770-48ea-8799-07dc3d5c06cc","resolution":{"observed_at":"2026-05-24T14:59:37.211909Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"19e3cd7a-83cb-4e11-be1f-8e19843e7d63","year":1998},"citing_paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces","version":3},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-05-24T14:57:37.727465Z"},"links":{"citing_paper":"/paper/2008.13161"},"observation_digest":"sha256:0d9603c24f45baf067eb6018e624f47ab7ccf8e3a6a4a4c29511f0a04fa97525","observation_id":"af4e9cc9-2b22-45fd-9b2e-8f108607d0a1","resolution":{"observed_at":"2026-05-24T14:59:37.205779Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2008.13161","last_updated":"2025-06-11T15:16:51Z","latest_version":3,"primary_category":"math.SG","snapshot_observed_at":"2026-08-02T06:06:07.555838Z","submitted_at":"2020-08-30T13:13:13Z","title":"Poincar\\'e duality for loop spaces"},"reference_resolution":{"displayed":68,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":29,"verified_exact":3,"verified_fuzzy":36},"total_outbound_references":68},"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":"2026-08-04T06:34:03.388597+00:00","source":"crossref"},{"observed_at":"2026-08-04T06:33:57.428241+00:00","source":"retraction_watch"}],"thesis":"As of 4 August 2026, this Paper Citation Record lists 68 of 68 outbound references and 1 inbound Pith citation observation for arXiv:2008.13161."}