{"as_of":"2026-08-12T23:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b88c7a697e6e94be26198808773a8ab8f42d73473edfb016428ae54c0aa79e5b","coverage":[{"denominator":11,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T23:07:11.707319Z","state":"measured"},{"denominator":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2501.00122/citation-record","integrity":"/paper/2501.00122/integrity","json":"/paper/2501.00122/citation-record.json","paper":"/paper/2501.00122"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T23:07:11.947127Z","title":null,"venue":null,"work_id":"0ed8348b-f01b-4ad6-92f0-d5da9feaac61","year":null},"citing_paper":{"arxiv_id":"2501.00122","last_updated":"2024-12-30T19:52:48Z","snapshot_observed_at":"2026-08-11T02:16:04.363871Z","submitted_at":"2024-12-30T19:52:48Z","title":"Envelopes and the bar complex","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-10T23:07:11.646267Z"},"links":{"citing_paper":"/paper/2501.00122"},"observation_digest":"sha256:77ed670ddf26cbc5a27e1e31eb827c5c09807a642ccf662899c19fb73eb79e84","observation_id":"740f760e-dbe3-4a7b-a668-395291ea432a","resolution":{"observed_at":"2026-08-10T23:07:11.953316Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T23:07:11.928299Z","title":"Bar-Natan","venue":null,"work_id":"bf7f86bf-63a2-4044-90ac-44db534b8a5f","year":2005},"citing_paper":{"arxiv_id":"2501.00122","last_updated":"2024-12-30T19:52:48Z","snapshot_observed_at":"2026-08-11T02:16:04.363871Z","submitted_at":"2024-12-30T19:52:48Z","title":"Envelopes and the bar complex","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-10T23:07:11.653068Z"},"links":{"citing_paper":"/paper/2501.00122"},"observation_digest":"sha256:bc45177e67423be5a63221d2665b72f4fb681607e31a9a5a4a26904390ddcc98","observation_id":"e5f92f60-2d7a-4f2b-80e0-012d834635b8","resolution":{"observed_at":"2026-08-10T23:07:11.933456Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T23:07:11.908622Z","title":"D G quotients of D G categories","venue":null,"work_id":"a080b6ab-9081-44f3-9098-6acf68c56889","year":2004},"citing_paper":{"arxiv_id":"2501.00122","last_updated":"2024-12-30T19:52:48Z","snapshot_observed_at":"2026-08-11T02:16:04.363871Z","submitted_at":"2024-12-30T19:52:48Z","title":"Envelopes and the bar complex","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-10T23:07:11.658466Z"},"links":{"citing_paper":"/paper/2501.00122"},"observation_digest":"sha256:e2bd758901810888cf42742078df72f1259d669862e9c8f714bd9c59861791f8","observation_id":"650fb870-17b4-4939-a733-08bc3ab131d5","resolution":{"observed_at":"2026-08-10T23:07:11.914866Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T23:07:11.889168Z","title":"Derived traces of S oergel categories","venue":null,"work_id":"7fe61a74-fff0-4d42-b975-7a5a49cf9b67","year":2022},"citing_paper":{"arxiv_id":"2501.00122","last_updated":"2024-12-30T19:52:48Z","snapshot_observed_at":"2026-08-11T02:16:04.363871Z","submitted_at":"2024-12-30T19:52:48Z","title":"Envelopes and the bar complex","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-10T23:07:11.663706Z"},"links":{"citing_paper":"/paper/2501.00122"},"observation_digest":"sha256:590ddb7bedd8870d3c9c0283b728aa3b0dd17d00b71fae5ac4f7ab000bc703e7","observation_id":"ceb6bd66-75b5-42bc-871b-a78bf994c507","resolution":{"observed_at":"2026-08-10T23:07:11.895363Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1703.01001","last_updated":"2017-03-03T00:26:59Z","snapshot_observed_at":"2026-07-31T18:37:46.078880Z","submitted_at":"2017-03-03T00:26:59Z","title":"Idempotents in triangulated monoidal categories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.01001","snapshot_observed_at":"2026-08-10T23:07:11.669660Z","title":"Idempotents in triangulated monoidal categories, 2017","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2501.00122","last_updated":"2024-12-30T19:52:48Z","snapshot_observed_at":"2026-08-11T02:16:04.363871Z","submitted_at":"2024-12-30T19:52:48Z","title":"Envelopes and the bar complex","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-10T23:07:11.669660Z"},"links":{"cited_paper":"/paper/1703.01001","citing_paper":"/paper/2501.00122"},"observation_digest":"sha256:2d17c569d51fac58aa23183515a22fcbb804b91bb777a22dac3269cb35de9720","observation_id":"7f2a859c-15a8-4098-ac08-af0f86cbeb84","resolution":{"observed_at":"2026-08-10T23:07:11.669660Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.08905","last_updated":"2020-02-22T20:52:16Z","snapshot_observed_at":"2026-08-11T11:05:17.356235Z","submitted_at":"2020-02-20T17:50:29Z","title":"Constructing categorical idempotents","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.08905","snapshot_observed_at":"2026-08-10T23:07:11.676084Z","title":"Constructing categorical idempotents, 2020","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2501.00122","last_updated":"2024-12-30T19:52:48Z","snapshot_observed_at":"2026-08-11T02:16:04.363871Z","submitted_at":"2024-12-30T19:52:48Z","title":"Envelopes and the bar complex","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-10T23:07:11.676084Z"},"links":{"cited_paper":"/paper/2002.08905","citing_paper":"/paper/2501.00122"},"observation_digest":"sha256:d1689b00ec7e733b0bc8630c4e29f76415e6ae2d7b38e75530425a6c78ec7fa2","observation_id":"68da8d67-7cae-4530-9527-7d549ec3f986","resolution":{"observed_at":"2026-08-10T23:07:11.676084Z","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":"2026-08-10T23:07:11.871256Z","title":"Deriving dg categories","venue":null,"work_id":"22ce270c-3fb1-40d9-aedf-665af6dd047b","year":1994},"citing_paper":{"arxiv_id":"2501.00122","last_updated":"2024-12-30T19:52:48Z","snapshot_observed_at":"2026-08-11T02:16:04.363871Z","submitted_at":"2024-12-30T19:52:48Z","title":"Envelopes and the bar complex","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-10T23:07:11.683852Z"},"links":{"citing_paper":"/paper/2501.00122"},"observation_digest":"sha256:36923003a90d1abe6a25efe55fe11bb7a1eeb199922befe18d7b3e5d96a9a16d","observation_id":"48ff1d5a-edff-4d66-be0e-c17da0bfcc16","resolution":{"observed_at":"2026-08-10T23:07:11.876564Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T23:07:11.851385Z","title":"international congress of mathematicians, vol. ii","venue":null,"work_id":"ef5bf77f-84e3-4de0-b293-f789e48bcf0c","year":2006},"citing_paper":{"arxiv_id":"2501.00122","last_updated":"2024-12-30T19:52:48Z","snapshot_observed_at":"2026-08-11T02:16:04.363871Z","submitted_at":"2024-12-30T19:52:48Z","title":"Envelopes and the bar complex","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-10T23:07:11.689779Z"},"links":{"citing_paper":"/paper/2501.00122"},"observation_digest":"sha256:3983f5addc33eb351339c7598fba535360a1de5e9efa76d513a951681d9f9010","observation_id":"2eeca20a-0ffc-45b4-aea7-2b5897e9d58d","resolution":{"observed_at":"2026-08-10T23:07:11.858299Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T23:07:11.832082Z","title":"A functor-valued invariant of tangles","venue":null,"work_id":"b5e1203f-8a46-4a23-9c30-b22666c7d486","year":2002},"citing_paper":{"arxiv_id":"2501.00122","last_updated":"2024-12-30T19:52:48Z","snapshot_observed_at":"2026-08-11T02:16:04.363871Z","submitted_at":"2024-12-30T19:52:48Z","title":"Envelopes and the bar complex","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-10T23:07:11.695049Z"},"links":{"citing_paper":"/paper/2501.00122"},"observation_digest":"sha256:85700923f792f75226b44e8f892751907332a8c3b4dad9e5d08b9accc14b6550","observation_id":"9f99b871-6363-4e32-af08-93f8c8d5183f","resolution":{"observed_at":"2026-08-10T23:07:11.838862Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T23:07:11.811950Z","title":null,"venue":null,"work_id":"5c6a3bc3-62d3-4b4a-9ee6-38fb991296fe","year":2004},"citing_paper":{"arxiv_id":"2501.00122","last_updated":"2024-12-30T19:52:48Z","snapshot_observed_at":"2026-08-11T02:16:04.363871Z","submitted_at":"2024-12-30T19:52:48Z","title":"Envelopes and the bar complex","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-10T23:07:11.701178Z"},"links":{"citing_paper":"/paper/2501.00122"},"observation_digest":"sha256:17c155aeb95a06435adfed2b14b1a1e1e903a037d81ed1f39fed126f839c9dd5","observation_id":"84aefd3a-5f0a-432e-9725-eea7aa31024a","resolution":{"observed_at":"2026-08-10T23:07:11.817476Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-10T23:07:11.791030Z","title":null,"venue":null,"work_id":"3619ed29-81a7-4ac3-9a67-f240d899ce02","year":2008},"citing_paper":{"arxiv_id":"2501.00122","last_updated":"2024-12-30T19:52:48Z","snapshot_observed_at":"2026-08-11T02:16:04.363871Z","submitted_at":"2024-12-30T19:52:48Z","title":"Envelopes and the bar complex","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-10T23:07:11.707319Z"},"links":{"citing_paper":"/paper/2501.00122"},"observation_digest":"sha256:e60d3c9cae86686827b2918afc6541a8146a978cd1a6e63123c77bdd4f4bff77","observation_id":"3e9279f4-b8eb-4ad6-96ee-fd79d9fb21ef","resolution":{"observed_at":"2026-08-10T23:07:11.799935Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.00122","last_updated":"2024-12-30T19:52:48Z","latest_version":1,"primary_category":"math.CT","snapshot_observed_at":"2026-08-11T02:16:04.363871Z","submitted_at":"2024-12-30T19:52:48Z","title":"Envelopes and the bar complex"},"reference_resolution":{"displayed":11,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":6},"total_outbound_references":11},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2501.00122."}