{"as_of":"2026-08-18T10:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2d0ceaceb7ed23423fa33b2aa0c096e2d48d79ba35e01938e5043e627a9ecb5e","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T10:49:37.077410Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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":"2026-08-01T03:19:44.976537Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.03742","snapshot_observed_at":"2026-08-01T03:19:44.976537Z","title":"Holden, Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups, preprint (2025).arXiv:2509.03742(Cited on pages 1 and 2.)","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.25191","last_updated":"2026-07-28T01:44:09Z","snapshot_observed_at":"2026-08-08T18:05:55.024865Z","submitted_at":"2026-07-28T01:44:09Z","title":"The Birman--Craggs--Johnson homomorphism and the handlebody Torelli group","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-01T03:19:44.976537Z"},"links":{"cited_paper":"/paper/2509.03742","citing_paper":"/paper/2607.25191"},"observation_digest":"sha256:825132d2eebc15f64eff5bbfc58fe2913bf27d0335df0f5249fb78d773b027f9","observation_id":"9ea78e9f-c9f7-4143-8d6a-f4bb60e157ba","resolution":{"observed_at":"2026-08-01T03:19:44.976537Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2509.03742/citation-record","integrity":"/paper/2509.03742/integrity","json":"/paper/2509.03742/citation-record.json","paper":"/paper/2509.03742"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"math/0601163","last_updated":"2006-01-09T05:39:54Z","snapshot_observed_at":"2026-08-11T03:09:12.514834Z","submitted_at":"2006-01-09T05:39:54Z","title":"The Birman-Craggs-Johnson homomorphism and abelian cycles in the Torelli group","version":1},"cited_work":{"arxiv_id":"math/0601163","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0601163","snapshot_observed_at":"2026-08-05T10:49:37.228259Z","title":"The Birman-Craggs-Johnson homomorphism and abelian cycles in the Torelli group","venue":"math.GT","work_id":"5a55d42f-8029-4bc9-b6a8-23ff96096697","year":2006},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:33.726162Z"},"links":{"cited_paper":"/paper/math/0601163","citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:c3244eb0c942e57ae6929b47c4bcb71cab1e451d8bb14e22d11ee82ee0c671b5","observation_id":"8e181e57-2d0c-438b-98d7-69bc50ba87e6","resolution":{"observed_at":"2026-08-05T10:49:37.232560Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.646371Z","title":"Brown, Cohomology of groups, Graduate Texts in Mathematics, 87, Springer-Verlag, New York,","venue":null,"work_id":"2334772d-6580-4d19-be52-4cb4b9a359b4","year":null},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:33.789049Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:eac4f227366644dd04fa43f84956d733b615468dbf348e8ae08852b4bc0c715c","observation_id":"20f35a59-c690-4648-ac27-b3b40dea2e22","resolution":{"observed_at":"2026-08-05T10:49:37.649954Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.636511Z","title":"Cohen & J","venue":null,"work_id":"f370e2c2-e5ca-4c76-b470-fd5138e14213","year":null},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:33.874052Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:162572e085ec34c26751bd41cc78cdf1949c9f5ead36bcb7b6099aa82c40482a","observation_id":"8c069324-24ed-4340-96fb-bb9f78f287ba","resolution":{"observed_at":"2026-08-05T10:49:37.639361Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.626284Z","title":"Dimca & S","venue":null,"work_id":"86cfc7db-05a5-4fe7-9879-bc34a56259ba","year":2013},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:33.937929Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:340161da2a5d4318ba724fd2d586c364d6d024c6f2c1c4309ca19fe3443dad8d","observation_id":"a8e29573-aaf7-4bd3-91ea-792968f4cbb2","resolution":{"observed_at":"2026-08-05T10:49:37.630388Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.16268","last_updated":"2021-10-12T11:06:13Z","snapshot_observed_at":"2026-08-16T19:09:17.744897Z","submitted_at":"2020-10-30T13:40:45Z","title":"The handlebody group and the images of the second Johnson homomorphism","version":4},"cited_work":{"arxiv_id":"2010.16268","doi":null,"metadata_source":"pith","pith_arxiv_id":"2010.16268","snapshot_observed_at":"2026-08-05T10:49:37.213234Z","title":"The handlebody group and the images of the second Johnson homomorphism","venue":"math.GT","work_id":"cb77dfd5-2b48-4c6e-95a8-fcb22b8b5127","year":2020},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:34.002578Z"},"links":{"cited_paper":"/paper/2010.16268","citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:99ded5f2d07ae7db5d2f4d9f0efb7c737ed18e28156751b1cc55de7bfb01ba73","observation_id":"3c491c63-da8e-44e8-8388-844964a96dfb","resolution":{"observed_at":"2026-08-05T10:49:37.217503Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.615631Z","title":"Farb, Automorphisms of Fg which act trivially on homology, in preparation","venue":null,"work_id":"5b33ff00-77a5-4b19-9574-871e0c156063","year":null},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:34.105652Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:e58cd2c1eec9a4d06ddde08ad20db3845cacb221130a3d36a682ca744589b8ba","observation_id":"d37c44d0-2d5c-4bfc-8c47-82be9e83be25","resolution":{"observed_at":"2026-08-05T10:49:37.619631Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.604054Z","title":"Farb & D","venue":null,"work_id":"173204ba-cec7-47fe-80d3-1c0464dd765f","year":2012},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:34.187347Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:be47b66e6d5db90dada83ffbe8aa7005dee227a38a0a6d54b62b977792592be8","observation_id":"5117087b-5176-4fa1-a84f-3e4a6f3b5cf3","resolution":{"observed_at":"2026-08-05T10:49:37.607416Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.593726Z","title":"Fulton & J","venue":null,"work_id":"40c16b91-3999-4481-88af-cdc3eed45fb3","year":1991},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:34.244883Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:4f422ed3c3af8d11169dc7ec4872998f77dd91cce8ac68f3b99b3e22dda7f330","observation_id":"5783ae66-c24d-47d8-ad1c-1d2b4badb988","resolution":{"observed_at":"2026-08-05T10:49:37.597446Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.584726Z","title":null,"venue":null,"work_id":"4d57ee6b-fd6d-414c-9c77-af2d02d9c741","year":1963},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:34.331604Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:ba188605cb8ad15c9d1c276a1c511a3f589d199abf57886a5efee22e791b1b60","observation_id":"4195f471-3b68-41d7-abdb-887e0dda804a","resolution":{"observed_at":"2026-08-05T10:49:37.587954Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.575271Z","title":null,"venue":null,"work_id":"1bb27277-1bdb-4ed2-a37a-4e929e1056b7","year":2015},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:34.417528Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:2c2a02f6025870fddfaecd53ab87c6c92a2d68e0e5702ca5beee87e8b9cb2f93","observation_id":"7606374c-8df6-4704-a3c6-cfbc509eea97","resolution":{"observed_at":"2026-08-05T10:49:37.578430Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.564470Z","title":"Johnson, An abelian quotient of the mapping class group Ig, Math","venue":null,"work_id":"560fcd46-74c3-432b-8e75-32488527915c","year":1980},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:34.481270Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:cf15098b115c4f048fbcbdf8b174365744b866e708dcb0c96007a2d4f5556ada","observation_id":"df02100a-19f7-4b00-9dea-7808843cdad3","resolution":{"observed_at":"2026-08-05T10:49:37.568533Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.552209Z","title":"Johnson, Conjugacy relations in subgroups of the mapping class group and a group-theoretic description of the Rochlin invariant, Math","venue":null,"work_id":"2e4601a7-b288-4a22-82f6-30284cd8e2a7","year":1980},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:34.557224Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:a0a70c4305f8e8f43d748a5c1c23917091f5db9eb2605a5393bb552352023c58","observation_id":"a76e6179-ee21-4c6c-8a42-d6f42e52e325","resolution":{"observed_at":"2026-08-05T10:49:37.556663Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.540469Z","title":"Johnson, The structure of the Torelli group","venue":null,"work_id":"8fe2af45-2e1f-4a15-b135-06645feb3345","year":1983},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:34.647845Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:d26f56f23acbb7961299c4f0fa46999b8c0b563361d515b1e2075ac516c5d9d6","observation_id":"52d3905d-8fd3-48c4-a3bf-e4f71fbd885f","resolution":{"observed_at":"2026-08-05T10:49:37.544565Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.528267Z","title":"Johnson, The structure of the Torelli group","venue":null,"work_id":"ea39f739-c9ed-4bf2-8ae2-a40165b5f899","year":1985},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:34.755321Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:25663ec91338f40a729238f063c9fe48d8f99463878fd9a38501634d7081d307","observation_id":"44d2de2f-7840-4557-8d60-8fc9d5cb24ce","resolution":{"observed_at":"2026-08-05T10:49:37.532523Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.519034Z","title":"Johnson, The structure of the Torelli group","venue":null,"work_id":"a9c204db-54a6-497c-a32a-2a03aafb1382","year":1985},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:34.918379Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:7f9aad34c171d026ecf068b1024802e2e9a0fa6f78b09708913642c5981ec4ab","observation_id":"6d3a0bee-250b-41b8-a300-4e41a2eb7551","resolution":{"observed_at":"2026-08-05T10:49:37.522344Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0505497","last_updated":"2006-09-07T13:51:48Z","snapshot_observed_at":"2026-08-03T00:51:52.890360Z","submitted_at":"2005-05-24T11:38:25Z","title":"Cohomological Aspects of Magnus Expansions","version":3},"cited_work":{"arxiv_id":"math/0505497","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0505497","snapshot_observed_at":"2026-08-05T10:49:37.199078Z","title":"Cohomological Aspects of Magnus Expansions","venue":"math.GT","work_id":"e394191a-a38d-4edc-b16e-14e6bfad82f0","year":2005},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.003698Z"},"links":{"cited_paper":"/paper/math/0505497","citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:12061858c42023d5a8cd69bcf5fdd0ef2012330519bef45f594a36014b54a7cf","observation_id":"b24fe19e-d8c1-4297-a7f5-929c6fdc41e5","resolution":{"observed_at":"2026-08-05T10:49:37.202239Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.508716Z","title":"Habegger & C","venue":null,"work_id":"86afabf4-4640-43ed-aee4-ff9fb1d6ccaa","year":2002},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.042212Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:c173c930f1562dae6dd6bc102dc68f765781bc457e360311b0c2d412a7e055e2","observation_id":"4f125a4a-dca0-4abf-8618-8fd788847f3a","resolution":{"observed_at":"2026-08-05T10:49:37.512335Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"alg-geom/9512001","last_updated":"1996-07-18T23:03:13Z","snapshot_observed_at":"2026-07-07T00:08:44.431930Z","submitted_at":"1995-12-01T21:49:54Z","title":"Infinitesimal presentations of the Torelli groups","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"alg-geom/9512001","snapshot_observed_at":"2026-08-05T10:49:35.076868Z","title":"Hain, Infinitesimal presentations of the Torelli groups, J","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.076868Z"},"links":{"cited_paper":"/paper/alg-geom/9512001","citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:b1fc121bf0057e7e321dc9bd82b92cdcd1d9f8917e90871ed82dd9cbc82cc33e","observation_id":"eac6aec7-65ae-4a54-a5da-fc02c8d5b92d","resolution":{"observed_at":"2026-08-05T10:49:35.076868Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T10:49:37.499123Z","title":"Hensel, A primer on handlebody groups, Handbook of group actions (Vol","venue":null,"work_id":"0b6a6145-1522-43ba-bbaf-827a7d7843a8","year":2020},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.126305Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:51a865d6d69f9db1b930561743f006e1b24251cb834812f1932ea94dd0c1bb4a","observation_id":"fa122879-8156-4839-a10f-47cbd8b49ec7","resolution":{"observed_at":"2026-08-05T10:49:37.502667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.489206Z","title":"Hirose, The action of the handlebody group on the first homology group of the surface, Kyungpook Math","venue":null,"work_id":"5c3903f7-f575-4549-a369-3e168d6c8399","year":2006},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.206453Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:905dbfcba864eb7abc38c10b4a6ef62eff3a7b640eb1e1d05dfe13a521c46876","observation_id":"8c23843e-505b-41c1-89ff-785f1647e82e","resolution":{"observed_at":"2026-08-05T10:49:37.492856Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.478346Z","title":"van Leeuwen, A","venue":null,"work_id":"544df9bf-ddae-4827-bbf8-6eb3bee0fa50","year":1992},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.283762Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:00329bff7e8211ff6d3526034dd71d90dbb16bf26badf6b3a4b3581178b705d4","observation_id":"95c134ef-4c74-47fd-bc36-7efa1e43d6bf","resolution":{"observed_at":"2026-08-05T10:49:37.482510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.467350Z","title":"Luft, Actions of the homeotopy group of an orientable 3-dimensional handlebody, Math","venue":null,"work_id":"1875c77c-22d3-4177-a370-980c3ef8a3c8","year":1978},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.390347Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:a3c11a96f41daed273809f1208b5d56b98e6d4e9b93f21321b1a1578c7f01fbe","observation_id":"b9d36250-5b65-441b-a68c-c58438e8b9f7","resolution":{"observed_at":"2026-08-05T10:49:37.471572Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.457134Z","title":"Magnus, ¨Uber n-dimensionale Gittertransformationen, Acta Math","venue":null,"work_id":"3335a58f-e886-41fd-97b6-04713968a0fa","year":1934},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.450621Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:2f1fbe84de2fa50ba985837950003bff083e8b798ef5aa651e1c7e417dd8b6a2","observation_id":"82af3048-4648-4d59-b186-c49698f711d9","resolution":{"observed_at":"2026-08-05T10:49:37.460535Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.447517Z","title":"Morita, Abelian quotients of subgroups of the mapping class group of surfaces, Duke Math","venue":null,"work_id":"83c6de1f-74e1-4682-8b89-37884c80c1e1","year":1993},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.508476Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:d9788e3d3a658b5b0bed17585a6769b274ecac229078ad5ba617f7dbc53492cf","observation_id":"fe12cd1f-7ec3-418c-b786-47de5a4ed864","resolution":{"observed_at":"2026-08-05T10:49:37.450924Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.436844Z","title":"Morita, Casson’s invariant for homology 3-spheres and characteristic classes of surface bundles I, Topology, 28 (1989), 305-323","venue":null,"work_id":"cce16f2d-6abb-4531-b6b3-bc74f5393350","year":1989},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.555564Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:9d9a2b0bfefd151389f65a0e844b99a3143935549217aaf4706ed034c601db3b","observation_id":"98b0cadb-0126-4d7f-b462-9df6bbbbf94a","resolution":{"observed_at":"2026-08-05T10:49:37.440808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.425753Z","title":"Morita, Characteristic classes of surface bundles, Invent","venue":null,"work_id":"f93c1c1c-4b00-4741-a625-dbb86e4701ac","year":1987},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.665786Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:7ae6631bfff85f5e7e22a4134265952f2838e2f94bce78039c4d11fe8b59cfc7","observation_id":"3f4d47ea-cdfd-49d9-9dba-ac45f2061350","resolution":{"observed_at":"2026-08-05T10:49:37.430014Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.414470Z","title":"Morita, The extension of Johnson’s homomorphism from the Torelli group to the mapping class group, Invent","venue":null,"work_id":"c188cd9c-2c5c-4a54-88fc-fab5d25fa904","year":1993},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.734630Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:355fd398d63b4103585917f6f2bc9101d241e8a553c7161fb314f75bb6b4a785","observation_id":"6f7b0c4c-74c1-420d-9e3a-864ba5f16339","resolution":{"observed_at":"2026-08-05T10:49:37.418889Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.404078Z","title":null,"venue":null,"work_id":"47117fa1-eb22-40c0-b1a5-ba5c48a68af2","year":1995},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.769979Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:c5a20072effda4b60a26dbfa2c5dfc8ed2ecad939030f64f3efa283de094efa8","observation_id":"d46aa7f7-5b74-4bbb-a605-45d005a6bb47","resolution":{"observed_at":"2026-08-05T10:49:37.407678Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1607.06553","last_updated":"2016-07-22T04:16:49Z","snapshot_observed_at":"2026-08-14T21:47:18.495028Z","submitted_at":"2016-07-22T04:16:49Z","title":"A small normal generating set for the handlebody subgroup of the Torelli group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1607.06553","snapshot_observed_at":"2026-08-05T10:49:35.803286Z","title":"Omori, A small normal generating set for the handlebody subgroup of the Torelli group, Geom","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.803286Z"},"links":{"cited_paper":"/paper/1607.06553","citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:c1072c3e3b2f85676c055064e4811867722033675816a6db62adf0db73ca9ba2","observation_id":"66c3a174-5566-4c28-9f99-cd5f5ed8d12e","resolution":{"observed_at":"2026-08-05T10:49:35.803286Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0501053","last_updated":"2005-08-01T12:27:31Z","snapshot_observed_at":"2026-08-11T18:45:46.986930Z","submitted_at":"2005-01-04T23:01:27Z","title":"The Johnson homomorphism and the second cohomology of IA_n","version":2},"cited_work":{"arxiv_id":"math/0501053","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0501053","snapshot_observed_at":"2026-08-05T10:49:37.165765Z","title":"The Johnson homomorphism and the second cohomology of IA_n","venue":"math.GR","work_id":"e2b0d646-53ea-4895-9221-5026615e084c","year":2005},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.853567Z"},"links":{"cited_paper":"/paper/math/0501053","citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:0da4697be9005823cf5c07f382be134a9abd06b62b99873e236736d2d519cff5","observation_id":"535420a3-0bb7-4afa-b30e-668c8ec0e6b5","resolution":{"observed_at":"2026-08-05T10:49:37.169566Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0904.0467","last_updated":"2015-02-17T04:58:27Z","snapshot_observed_at":"2026-08-15T05:51:28.714436Z","submitted_at":"2009-04-02T20:46:06Z","title":"The Johnson homomorphism and its kernel","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0904.0467","snapshot_observed_at":"2026-08-05T10:49:35.893746Z","title":"Putman, The Johnson homomorphism and its kernel, J","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:35.893746Z"},"links":{"cited_paper":"/paper/0904.0467","citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:f0165f8a57611a585052b86dde6a55bb7447d1b423cacb48077f0c4e183cf07a","observation_id":"f8d3d1c4-8981-48b6-a5a4-f13fef4cd59d","resolution":{"observed_at":"2026-08-05T10:49:35.893746Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0910.5262","last_updated":"2011-11-30T04:13:12Z","snapshot_observed_at":"2026-08-15T05:35:24.100554Z","submitted_at":"2009-10-27T22:30:24Z","title":"Lagrangian mapping class groups from a group homological point of view","version":2},"cited_work":{"arxiv_id":"0910.5262","doi":null,"metadata_source":"pith","pith_arxiv_id":"0910.5262","snapshot_observed_at":"2026-08-05T10:49:37.140730Z","title":"Lagrangian mapping class groups from a group homological point of view","venue":"math.GT","work_id":"6766ad7f-76a7-4c37-b79b-d4bc9b37d771","year":2009},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:36.052936Z"},"links":{"cited_paper":"/paper/0910.5262","citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:e556ab3f050357f7b6b5510ab9a97f64ed0c50dec499e9a80a8181825f1f4e9d","observation_id":"79ac4c90-ed5c-4f60-8bed-5fac1c60dc79","resolution":{"observed_at":"2026-08-05T10:49:37.144382Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.282996Z","title":"Sakasai, The Johnson homomorphism and the third rational cohomology group of the Torelli group, Topology Appl., 148 (2005), 83-111","venue":null,"work_id":"463e3b08-8251-49d5-85f2-02d97f91ccc5","year":2005},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:36.198945Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:c0a50ed944db49ec0fa33f33c5bc28fe9309bafdbacd568fe9596116171ea788","observation_id":"248932f1-36ae-4159-b152-0bf3dc029603","resolution":{"observed_at":"2026-08-05T10:49:37.286478Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0601314","last_updated":"2006-12-20T00:39:58Z","snapshot_observed_at":"2026-08-10T10:38:42.074074Z","submitted_at":"2006-01-13T14:04:04Z","title":"The second Johnson homomorphism and the second rational cohomology of the Johnson kernel","version":2},"cited_work":{"arxiv_id":"math/0601314","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0601314","snapshot_observed_at":"2026-08-05T10:49:37.125343Z","title":"The second Johnson homomorphism and the second rational cohomology of the Johnson kernel","venue":"math.GT","work_id":"a97aeb0c-ac3b-402f-aafa-1dd8d5bff0fa","year":2006},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:36.443257Z"},"links":{"cited_paper":"/paper/math/0601314","citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:ef3a5131b9ea7922031b271d184aca34c413c3ee8d24631b792ca95d2b5032d3","observation_id":"9d422372-af1b-4a7f-8149-e19ab6836af7","resolution":{"observed_at":"2026-08-05T10:49:37.130079Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1204.0876","last_updated":"2013-06-08T05:05:28Z","snapshot_observed_at":"2026-08-18T08:17:47.544368Z","submitted_at":"2012-04-04T06:48:45Z","title":"A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics","version":2},"cited_work":{"arxiv_id":"1204.0876","doi":null,"metadata_source":"pith","pith_arxiv_id":"1204.0876","snapshot_observed_at":"2026-08-05T10:49:37.107268Z","title":"A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics","venue":"math.AT","work_id":"3b81e35e-1bb9-4517-ba1c-7910af4f0f9d","year":2012},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:36.674657Z"},"links":{"cited_paper":"/paper/1204.0876","citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:ead663aade3399f5e7cb9c0343b8f32b3a1f49b4f356258201e9c071501c0ea7","observation_id":"3e3128b2-2fa1-4c0c-8ecc-84920a2215cc","resolution":{"observed_at":"2026-08-05T10:49:37.113315Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.272702Z","title":"Serre, Lie algebras and Lie groups, Lectures given at Harvard University, Vol","venue":null,"work_id":"ef722f7d-9857-4a7d-918a-90588a48bb30","year":1964},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:36.791866Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:700120422af83265b3b67ce1d534966a89305e8de895d9236624d1d92ade4d7b","observation_id":"95225a66-92c1-4df3-a42d-e2faf3c6a9c6","resolution":{"observed_at":"2026-08-05T10:49:37.275928Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.261602Z","title":"Stallings, Homology and central series of groups, J","venue":null,"work_id":"aebb5b2a-9c58-4daa-9136-752bef6c509a","year":1965},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:36.938223Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:90029899e8c67c124f898be896485aae23cf4b2b2004b73bc15b728cdb04c3ae","observation_id":"8119b621-8596-483d-8214-df0a7101bafc","resolution":{"observed_at":"2026-08-05T10:49:37.265978Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.251072Z","title":"Sullivan, On the intersection ring of compact three manifolds, Topology, 14 (1975), 275-277","venue":null,"work_id":"ce1c3f8b-cddb-4b30-b767-f6df153b3112","year":1975},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:37.070312Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:4f90ccda14ca0988fa43af0cc7f6806798b651e66de2873ae228e960678adc59","observation_id":"4d22235a-9ada-4174-909c-602db23490b1","resolution":{"observed_at":"2026-08-05T10:49:37.254769Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-05T10:49:37.239957Z","title":"Suzuki, On homeomorphisms of a 3-dimensional handlebody, Can","venue":null,"work_id":"300fdba5-ed00-4e15-9807-47a927dc0b87","year":1977},"citing_paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-05T10:49:37.077410Z"},"links":{"citing_paper":"/paper/2509.03742"},"observation_digest":"sha256:c0847466222d83bbe9774718f3d4cb39692b6ebe06e7eec71bab0594a6c3ecb9","observation_id":"3ee74b31-b340-41db-99fe-8e2ecdeedbf0","resolution":{"observed_at":"2026-08-05T10:49:37.243472Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2509.03742","last_updated":"2025-09-03T22:01:59Z","latest_version":1,"primary_category":"math.GT","snapshot_observed_at":"2026-08-13T20:12:12.924927Z","submitted_at":"2025-09-03T22:01:59Z","title":"Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":2,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":7,"verified_fuzzy":24},"total_outbound_references":39},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2509.03742."}