{"as_of":"2026-08-13T06:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:31f78b4fb04e1c720c35193cbba3298f7caa8ea7d4668b4cde2770b3962c5b7a","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T16:46:57.358366Z","state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2411.13272/citation-record","integrity":"/paper/2411.13272/integrity","json":"/paper/2411.13272/citation-record.json","paper":"/paper/2411.13272"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1515/jgth-2017-0029","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:46:57.508758Z","title":"Compactness properties of locally compact groups","venue":null,"work_id":"7e1cc5ac-6bc5-4e35-892a-aea9ca5a75a6","year":1997},"citing_paper":{"arxiv_id":"2411.13272","last_updated":"2025-08-01T10:11:08Z","snapshot_observed_at":"2026-08-12T16:35:27.375226Z","submitted_at":"2024-11-20T12:41:08Z","title":"Geometric invariants of locally compact groups: the homological perspective","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T16:46:57.293938Z"},"links":{"citing_paper":"/paper/2411.13272"},"observation_digest":"sha256:1bd5f91a13c63be933032921f88a803f4ac3fac9569bfbdf13d68be192baac45","observation_id":"02ad516b-02ac-4bef-9203-318084865cc1","resolution":{"observed_at":"2026-08-12T16:46:57.516393Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:46:57.333674Z","title":"The homological invariants for metabelian groups of finite Pr¨ ufer rank: a proof of the Σm-conjecture","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2411.13272","last_updated":"2025-08-01T10:11:08Z","snapshot_observed_at":"2026-08-12T16:35:27.375226Z","submitted_at":"2024-11-20T12:41:08Z","title":"Geometric invariants of locally compact groups: the homological perspective","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T16:46:57.333674Z"},"links":{"citing_paper":"/paper/2411.13272"},"observation_digest":"sha256:ac2de6a6217271804b43917504d17d7482e1cb32fcc2b5a31500b01dcb07dc22","observation_id":"a6186824-f2f1-4f6f-8c55-9f3b2ed55cb9","resolution":{"observed_at":"2026-08-12T16:46:57.333674Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.09264","last_updated":"2024-09-23T11:38:40Z","snapshot_observed_at":"2026-08-13T01:42:04.059872Z","submitted_at":"2024-07-12T13:47:38Z","title":"Computer-assisted methods in Sigma-theory","version":3},"cited_work":{"arxiv_id":"2407.09264","doi":"10.48550/arxiv.2407.09264","metadata_source":"pith","pith_arxiv_id":"2407.09264","snapshot_observed_at":"2026-08-12T18:16:22.223912Z","title":"Computer-assisted methods in Sigma-theory","venue":"math.GR","work_id":"eb4f4f87-414f-4832-8145-fb926e41622d","year":2024},"citing_paper":{"arxiv_id":"2411.13272","last_updated":"2025-08-01T10:11:08Z","snapshot_observed_at":"2026-08-12T16:35:27.375226Z","submitted_at":"2024-11-20T12:41:08Z","title":"Geometric invariants of locally compact groups: the homological perspective","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T16:46:57.317664Z"},"links":{"cited_paper":"/paper/2407.09264","citing_paper":"/paper/2411.13272"},"observation_digest":"sha256:fc703389ec8870c666f2a3c1f3e1ea77f866b436b91f68e8a57dd9d58b79543b","observation_id":"bd39946d-f4b0-4cb9-b0da-72a66db3255e","resolution":{"observed_at":"2026-08-12T16:46:57.461065Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.19501","last_updated":"2026-08-03T12:25:09Z","snapshot_observed_at":"2026-08-12T22:15:11.216098Z","submitted_at":"2024-10-25T12:02:24Z","title":"Geometric invariants of locally compact groups: the homotopical perspective","version":3},"cited_work":{"arxiv_id":"2410.19501","doi":"10.48550/arxiv.2410.19501","metadata_source":"pith","pith_arxiv_id":"2410.19501","snapshot_observed_at":"2026-08-12T18:16:22.223912Z","title":"Geometric invariants of locally compact groups: the homotopical perspective","venue":"math.GR","work_id":"9509e6d2-316b-48d3-920c-82e4da1747fd","year":2024},"citing_paper":{"arxiv_id":"2411.13272","last_updated":"2025-08-01T10:11:08Z","snapshot_observed_at":"2026-08-12T16:35:27.375226Z","submitted_at":"2024-11-20T12:41:08Z","title":"Geometric invariants of locally compact groups: the homological perspective","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T16:46:57.306641Z"},"links":{"cited_paper":"/paper/2410.19501","citing_paper":"/paper/2411.13272"},"observation_digest":"sha256:735e2566e53f2a0a6b084ad546c33c2cd89fffa1379501e24cb78b18eefa5eb4","observation_id":"e5418313-ecfe-4eb5-8b50-1322d219a7f9","resolution":{"observed_at":"2026-08-12T16:46:57.496760Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T16:46:57.559833Z","title":"2001, pp","venue":null,"work_id":"654748ae-d36f-4ecb-8d58-fa233abf0252","year":1997},"citing_paper":{"arxiv_id":"2411.13272","last_updated":"2025-08-01T10:11:08Z","snapshot_observed_at":"2026-08-12T16:35:27.375226Z","submitted_at":"2024-11-20T12:41:08Z","title":"Geometric invariants of locally compact groups: the homological perspective","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T16:46:57.328358Z"},"links":{"citing_paper":"/paper/2411.13272"},"observation_digest":"sha256:4d71f2aad7191d5ce65003ea6e4d4c35d4c8cd413e5ab5ba2ec7b0a4cb9c0656","observation_id":"03b7c9b1-ab1c-41f1-a1d6-040b9247f4a1","resolution":{"observed_at":"2026-08-12T16:46:57.564584Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/s0022-4049(96)00030-8","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:46:57.410020Z","title":"[Mor77] Sidney A","venue":null,"work_id":"a235310e-c2d9-481e-bb22-7331192f9579","year":null},"citing_paper":{"arxiv_id":"2411.13272","last_updated":"2025-08-01T10:11:08Z","snapshot_observed_at":"2026-08-12T16:35:27.375226Z","submitted_at":"2024-11-20T12:41:08Z","title":"Geometric invariants of locally compact groups: the homological perspective","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T16:46:57.338461Z"},"links":{"citing_paper":"/paper/2411.13272"},"observation_digest":"sha256:2e1d007d50338f3d3fb6a5a237988e3ac07c8020b24f9a5b591df1c569b8934b","observation_id":"0fe73dd4-8a34-4988-b091-cf895f7a1004","resolution":{"observed_at":"2026-08-12T16:46:57.417372Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:46:57.323001Z","title":"On the Σ-invariants of Artin groups","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2411.13272","last_updated":"2025-08-01T10:11:08Z","snapshot_observed_at":"2026-08-12T16:35:27.375226Z","submitted_at":"2024-11-20T12:41:08Z","title":"Geometric invariants of locally compact groups: the homological perspective","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T16:46:57.323001Z"},"links":{"citing_paper":"/paper/2411.13272"},"observation_digest":"sha256:e4cdd80d7207c3f37f1affc4c2444422a0c4ce08b3c261307fca217db7fb5160","observation_id":"d80079bc-7c85-4840-911e-404209de0244","resolution":{"observed_at":"2026-08-12T16:46:57.323001Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:46:57.312591Z","title":"Winner of the 2016 EMS Monograph Award","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2411.13272","last_updated":"2025-08-01T10:11:08Z","snapshot_observed_at":"2026-08-12T16:35:27.375226Z","submitted_at":"2024-11-20T12:41:08Z","title":"Geometric invariants of locally compact groups: the homological perspective","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T16:46:57.312591Z"},"links":{"citing_paper":"/paper/2411.13272"},"observation_digest":"sha256:918bea5a4bb8caf8e9c238baf168f1b045373cb640b4469b35b6064014174b0b","observation_id":"f3dbb07a-58ee-4a27-ac3f-3e85905811b7","resolution":{"observed_at":"2026-08-12T16:46:57.312591Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:46:57.544180Z","title":"Geometrische Invarianten und Endlichkeitseigenschaften von Gruppen","venue":null,"work_id":"580ea378-e30b-40d9-ac0a-958008a55f50","year":1977},"citing_paper":{"arxiv_id":"2411.13272","last_updated":"2025-08-01T10:11:08Z","snapshot_observed_at":"2026-08-12T16:35:27.375226Z","submitted_at":"2024-11-20T12:41:08Z","title":"Geometric invariants of locally compact groups: the homological perspective","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T16:46:57.343329Z"},"links":{"citing_paper":"/paper/2411.13272"},"observation_digest":"sha256:06fdd4278d7772c24524f9ab18240887db60230a669a61ff70b97c09322ea3dc","observation_id":"7743ca1f-1422-4ee6-aed5-2d56bd0f773e","resolution":{"observed_at":"2026-08-12T16:46:57.549232Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T16:46:57.347980Z","title":"American Mathematical Society, Providence, RI, 2003, pp","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2411.13272","last_updated":"2025-08-01T10:11:08Z","snapshot_observed_at":"2026-08-12T16:35:27.375226Z","submitted_at":"2024-11-20T12:41:08Z","title":"Geometric invariants of locally compact groups: the homological perspective","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T16:46:57.347980Z"},"links":{"citing_paper":"/paper/2411.13272"},"observation_digest":"sha256:185c3f7d21f85d66b4caa9cb6ee2c5d8698d91a05fba79040fd2d259bf0545cd","observation_id":"e71f8567-3f00-4c47-a1d6-997d992487e8","resolution":{"observed_at":"2026-08-12T16:46:57.347980Z","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":"2026-08-12T16:46:57.578326Z","title":null,"venue":null,"work_id":"a7dc21c8-e90d-4467-a850-e2794ccf800d","year":1987},"citing_paper":{"arxiv_id":"2411.13272","last_updated":"2025-08-01T10:11:08Z","snapshot_observed_at":"2026-08-12T16:35:27.375226Z","submitted_at":"2024-11-20T12:41:08Z","title":"Geometric invariants of locally compact groups: the homological perspective","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-12T16:46:57.300728Z"},"links":{"citing_paper":"/paper/2411.13272"},"observation_digest":"sha256:d06b5782eadc541ab2a47db538b21dc20fdbd69f5c0cc5cedb941d78210bccc2","observation_id":"dbee8331-7417-4c8d-b912-b530def519df","resolution":{"observed_at":"2026-08-12T16:46:57.584157Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1204.0214","last_updated":"2013-03-01T20:31:40Z","snapshot_observed_at":"2026-08-10T02:13:46.497884Z","submitted_at":"2012-04-01T14:09:33Z","title":"Notes on the Sigma invariants","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1204.0214","snapshot_observed_at":"2026-08-12T16:46:57.358366Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2411.13272","last_updated":"2025-08-01T10:11:08Z","snapshot_observed_at":"2026-08-12T16:35:27.375226Z","submitted_at":"2024-11-20T12:41:08Z","title":"Geometric invariants of locally compact groups: the homological perspective","version":2},"reference_index":214,"source":"pdf_text","source_observed_at":"2026-08-12T16:46:57.358366Z"},"links":{"cited_paper":"/paper/1204.0214","citing_paper":"/paper/2411.13272"},"observation_digest":"sha256:1959338334807420132ef8de424b0ff100b6674d43b96ea2eaf0f5835d922cac","observation_id":"e01fc4af-7d33-4690-b7cc-81310c43d538","resolution":{"observed_at":"2026-08-12T16:46:57.358366Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2411.13272","last_updated":"2025-08-01T10:11:08Z","latest_version":2,"primary_category":"math.AT","snapshot_observed_at":"2026-08-12T16:35:27.375226Z","submitted_at":"2024-11-20T12:41:08Z","title":"Geometric invariants of locally compact groups: the homological perspective"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":3,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":4,"verified_fuzzy":2},"total_outbound_references":12},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2411.13272."}