{"as_of":"2026-08-05T20:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0405f86bf106298edbccdf0e18d99fb24cc60988bf8c9d43eb380be0493e6b9a","coverage":[{"denominator":23,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":23,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T20:07:27.078172Z","state":"measured"},{"denominator":23,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":23,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2508.11841/citation-record","integrity":"/paper/2508.11841/integrity","json":"/paper/2508.11841/citation-record.json","paper":"/paper/2508.11841"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T20:07:31.756349Z","title":null,"venue":null,"work_id":"62672f7b-5c99-46e3-9209-b3f9484e87fc","year":2014},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:24.659527Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:f0873d914769e01f79b0b75202f03c1c321374efed39152498464662fa2998a5","observation_id":"ec36b8a1-b5e5-4ff2-bed4-1e8afa417d06","resolution":{"observed_at":"2026-08-05T20:07:31.856319Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:31.516809Z","title":"Barali´ c, A","venue":null,"work_id":"ddbd3670-5e95-4efc-96ea-272a8d335560","year":2023},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:24.829720Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:880575868bdf651b9f4de6b01d6d448000b017df15097a258993dae1f8320963","observation_id":"714d7600-039e-42be-b3a0-96a7c9a96385","resolution":{"observed_at":"2026-08-05T20:07:31.650555Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:31.345967Z","title":"Bj¨ orner,Shellable and Cohen-Macaulay partially ordered sets , Trans","venue":null,"work_id":"8be20c01-43ca-44ae-9ed9-a7217f5b9771","year":1980},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:24.933167Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:5d4c1528260bd569e0527ee7736c4029aca1c209a83204e69dd6854efd836914","observation_id":"84606eeb-c1ed-4ed2-a01f-5511efc32aa5","resolution":{"observed_at":"2026-08-05T20:07:31.418458Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:31.172045Z","title":"Bj¨ orner, Homology and shellability of matroids and geometric lattices , Matroid appli- cations, Encyclopedia Math","venue":null,"work_id":"fe70e561-bef3-4833-a342-b51bfddb138e","year":1992},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:25.056048Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:58cc52d53ca532c09013fd395a66a4842beae08c1e94a49fb30bd7a13da46ce5","observation_id":"3e6b8873-ffa6-444d-9114-fc2d773c3253","resolution":{"observed_at":"2026-08-05T20:07:31.252362Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:30.878981Z","title":null,"venue":null,"work_id":"434d6ce9-c965-4ab6-8405-a3270c3ccd22","year":2025},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:25.133176Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:95dfef98d4187dd3340351f3d7c0fd29eec23c0e630c5efff4b975bba0b00ac5","observation_id":"17832a87-9023-4412-8702-085b9f5d6bc2","resolution":{"observed_at":"2026-08-05T20:07:30.964211Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:30.660460Z","title":null,"venue":null,"work_id":"82d497ae-675c-4c83-8313-8157e6954792","year":1979},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:25.209509Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:87a9739785ab8944c3e56ab421ccf5ff4b2a642f51bf0044d682fd0851df0d30","observation_id":"fd82f668-d95f-4836-95ca-57bda177a0d1","resolution":{"observed_at":"2026-08-05T20:07:30.795650Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:30.492059Z","title":null,"venue":null,"work_id":"ed1c1e51-1fd7-4794-8799-cdc1376d1a62","year":1964},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:25.300438Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:0bf724f198550bd7d8a4430e25f3cc973436d62525da7820815daecfa7e3e753","observation_id":"c2f478c6-8878-4019-8b7c-4ecebc6df0f8","resolution":{"observed_at":"2026-08-05T20:07:30.561639Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:30.269887Z","title":"Davis and Tadeusz Januszkiewicz, Convex polytopes, Coxeter orbifolds and torus actions, Duke Math","venue":null,"work_id":"88c715b2-68e3-4c92-83e0-49a26685102a","year":1991},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:25.410423Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:9b7db4177fddaa98ca2e0de2b5e7856dec7a5d8716040637cbff6d4e2a30208a","observation_id":"60f13e78-7fae-4920-aef4-d0b66081efb1","resolution":{"observed_at":"2026-08-05T20:07:30.384250Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:30.054239Z","title":"tom Dieck, Characteristic numbers of G-manifolds I , Invent","venue":null,"work_id":"04d0937a-3c09-448d-82f8-cf801e60472c","year":1971},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:25.531048Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:30b81d40a240e64da880eee843f0ca0fee58b37c3fc2b6d1a67325af2ebf1352","observation_id":"fd11f2a4-3f88-4fe8-8b56-539b794fc27a","resolution":{"observed_at":"2026-08-05T20:07:30.185402Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:29.837967Z","title":"Goresky, R","venue":null,"work_id":"9df90b57-7bdf-4e87-a9bd-f014d7142ef6","year":1998},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:25.615401Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:fefb0f947551121730ff77e7f2c4d8670a1c44ed719fcba1c7011c20279f4d6b","observation_id":"bc9cb45b-fe26-453a-affc-b292138706c6","resolution":{"observed_at":"2026-08-05T20:07:29.939085Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:29.637247Z","title":null,"venue":null,"work_id":"c3adbcad-da58-4c76-a026-085984331d07","year":2025},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:25.725230Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:d51daf3c56ffa6ecb8dd1bd48a55dbc5a687953410fba062318ea8eac9cd048e","observation_id":"16b97588-377d-401e-9834-441fbf984b24","resolution":{"observed_at":"2026-08-05T20:07:29.735078Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:29.375579Z","title":null,"venue":null,"work_id":"6a25c1f9-1665-4204-845e-26b0256691a3","year":1980},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:25.837996Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:66a7041caad76d46064988beabeb2320d77a0fee2dff40fb7f2e697f6d4fc047","observation_id":"68e8e25f-3030-4587-9011-c7f027d3b1c8","resolution":{"observed_at":"2026-08-05T20:07:29.519329Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:29.097604Z","title":"Kosniowski and R","venue":null,"work_id":"656a3601-e6a7-4647-a7c8-54079ae5d9d2","year":1979},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:25.945418Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:0b09b76bbcd24d081ab20acd56d5939790ea076dba424b90d713b3a3c7b5324a","observation_id":"71ea3553-4a95-4eca-810c-a954305246e7","resolution":{"observed_at":"2026-08-05T20:07:29.206791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.06565","last_updated":"2025-01-14T09:11:05Z","snapshot_observed_at":"2026-07-06T20:19:45.569377Z","submitted_at":"2025-01-11T15:03:43Z","title":"Equivariant geometric bordism, representation, labelled graph","version":2},"cited_work":{"arxiv_id":"2501.06565","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.06565","snapshot_observed_at":"2026-08-05T20:07:27.176330Z","title":"Equivariant geometric bordism, representation, labelled graph","venue":"math.AT","work_id":"c0dbc1e8-19c4-470f-a5ea-23de6d766e91","year":2025},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:26.067410Z"},"links":{"cited_paper":"/paper/2501.06565","citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:a038fc32304b47276bf9e9dfd0b2afc3ded845af6632bdb602177da598883d5a","observation_id":"77a689ba-ba64-4eba-b5b3-5a176f104059","resolution":{"observed_at":"2026-08-05T20:07:27.231928Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:28.861444Z","title":"L¨ u,2-torus manifolds, cobordism and small covers , Pacific J","venue":null,"work_id":"fc8cea2d-0061-4bf9-9202-98ba935080c0","year":2009},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:26.224436Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:641ec386bacf719a1f28b7fdf98789b71dc35713e2043c85f34fd047c45b0cfc","observation_id":"68a563b0-b768-402c-bf72-b5b018f8d3ad","resolution":{"observed_at":"2026-08-05T20:07:28.977831Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:28.700226Z","title":"L¨ u and Q","venue":null,"work_id":"1217ee05-6034-41b1-8ea6-772bb91443c3","year":2014},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:26.357160Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:a84f7b93af46a8a6a5e14f2ca5ec5205842361c44556ee61430e2ecbd6d97de8","observation_id":"0a9c59cb-196f-4380-9c38-ecf73eab83c9","resolution":{"observed_at":"2026-08-05T20:07:28.793081Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:28.496924Z","title":"Mukherjee, Equivariant cobordism of Grassmann and flag manifolds","venue":null,"work_id":"60df2e28-0320-43d4-93ae-c276891bb0e9","year":1995},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:26.471509Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:f1d96fd05bea20331e5cda67678d99e2ff811b8ef437019efb138dc54ca8f10e","observation_id":"0222f091-bc3c-4b38-a20e-6a0773fab10d","resolution":{"observed_at":"2026-08-05T20:07:28.582422Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:28.287688Z","title":"Mukherjee and P","venue":null,"work_id":"26907f24-1fa0-452d-8af8-7c643c92ae52","year":1998},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:26.563297Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:7a0a66d12ef2508046eec879f8699c383298c2768d8d6b65ffb57402517b10ac","observation_id":"e7a65739-8e24-47de-8e32-160663604f9e","resolution":{"observed_at":"2026-08-05T20:07:28.367973Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:28.100758Z","title":"Quillen, Homotopy properties of the poset of non-trivial p-subgroups of a group","venue":null,"work_id":"a689fb4d-e17c-44a5-9c34-954629e4cae9","year":1978},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:26.650937Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:7484ed6b0ed7c81fba8e614afe30d543dd0a964cb8306ed7d6c0dbd81cb57bd1","observation_id":"f9d4fe8c-47d6-4df0-ba7d-5d69b5e2d4fb","resolution":{"observed_at":"2026-08-05T20:07:28.188230Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:27.905940Z","title":"Rotman, An Introduction to Homological Algebra , 2nd edition, Universitex, Springer, New York, 2009","venue":null,"work_id":"1a4d037c-2edf-46cd-8133-9b292b1cef63","year":2009},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:26.766067Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:86d8679cc6bcce80237440f995579319b16cc9ae7b3ffd373fd7152e66cc8104","observation_id":"053f5c9b-274d-41d6-a085-f77c8e3ba930","resolution":{"observed_at":"2026-08-05T20:07:27.990164Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:27.750771Z","title":"Sankaran and K","venue":null,"work_id":"0d355c7a-1d25-45b4-b208-2ee9bd674675","year":1993},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:26.842875Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:d69db930c2e1cb0b78fe4b42c86bd3f1989e920e926ef36a6c8ec10d42f527b6","observation_id":"977e4efb-b5f2-4b94-a395-3057389cb1c2","resolution":{"observed_at":"2026-08-05T20:07:27.835653Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:27.563298Z","title":"Stanley, Decompositions of rational convex polytopes , Ann","venue":null,"work_id":"f0f52ddd-0c12-4156-b86b-a322e23c7885","year":1980},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:26.960392Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:a43df08c2cd08ef15369988d1f212c4ddcdc86302ad9d92ac1a7a46a297b06a0","observation_id":"cd1b0336-71cd-49e1-a807-bb932b131cc1","resolution":{"observed_at":"2026-08-05T20:07:27.651014Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+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":"2026-08-05T20:07:27.379130Z","title":null,"venue":null,"work_id":"2abc7b38-71b4-41a0-bed9-24fc07015fbd","year":1970},"citing_paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-05T20:07:27.078172Z"},"links":{"citing_paper":"/paper/2508.11841"},"observation_digest":"sha256:790cb3561e52de41a574be96b7c00baaba402875c8d4981c6a28ee1b5cb6ae45","observation_id":"02b28c35-5cd2-4f23-9aa0-880bf7a2124b","resolution":{"observed_at":"2026-08-05T20:07:27.451800Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2508.11841","last_updated":"2025-08-19T10:50:19Z","latest_version":2,"primary_category":"math.AT","snapshot_observed_at":"2026-08-05T20:07:23.205993Z","submitted_at":"2025-08-15T23:41:19Z","title":"On the homology description of equivariant unoriented bordism groups"},"reference_resolution":{"displayed":23,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":1,"verified_fuzzy":15},"total_outbound_references":23},"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":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2508.11841."}