{"as_of":"2026-08-08T04:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:97a439c336569ec25789f764cb858fff448c2ffd7e66531dc1ba0b5e67ba3894","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:25:16.101335Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2506.02699/citation-record","integrity":"/paper/2506.02699/integrity","json":"/paper/2506.02699/citation-record.json","paper":"/paper/2506.02699"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:25:16.246272Z","title":"Ayala, J","venue":null,"work_id":"098797ef-5beb-4b08-82b8-b22de533e141","year":2015},"citing_paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T11:25:16.056409Z"},"links":{"citing_paper":"/paper/2506.02699"},"observation_digest":"sha256:e58c38566fdaa0aaf2fe66eed8bdf81c830b2c5308dbaf60a6f1c64aea862de5","observation_id":"620fdd74-0003-470d-a94b-36cd303a2019","resolution":{"observed_at":"2026-08-07T11:25:16.249920Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1608.03657","last_updated":"2016-08-12T01:50:39Z","snapshot_observed_at":"2026-07-06T05:06:47.864753Z","submitted_at":"2016-08-12T01:50:39Z","title":"Parametrized higher category theory and higher algebra: Expos\\'e I -- Elements of parametrized higher category theory","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.03657","snapshot_observed_at":"2026-08-07T11:25:16.060550Z","title":"Barwick, E","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T11:25:16.060550Z"},"links":{"cited_paper":"/paper/1608.03657","citing_paper":"/paper/2506.02699"},"observation_digest":"sha256:aa0498a4a33f81fa717401d07bd7acd6a89da794f3cf831e84d1f4f08949bf58","observation_id":"44d62d9c-a001-470c-96ac-2e85596108ca","resolution":{"observed_at":"2026-08-07T11:25:16.060550Z","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":"2026-08-07T11:25:16.237317Z","title":"Barwick, S","venue":null,"work_id":"c59b0546-552e-4dd5-9971-95c65613c097","year":2018},"citing_paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T11:25:16.064022Z"},"links":{"citing_paper":"/paper/2506.02699"},"observation_digest":"sha256:a535e77bfe4917330171a54ca03bf910cc4be3c7b37149369b29da78b13a6af9","observation_id":"807706bf-8227-4f1c-96fc-e583e2e1caf6","resolution":{"observed_at":"2026-08-07T11:25:16.240270Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T11:25:16.228116Z","title":"Dotto, K","venue":null,"work_id":"2b3bf36d-1205-4c04-aab7-ec0e7a045af4","year":2021},"citing_paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T11:25:16.067485Z"},"links":{"citing_paper":"/paper/2506.02699"},"observation_digest":"sha256:2da9dd1708aed06fe8eb8b1c132edd0cfad2b1238abbcadd53cc941740682723","observation_id":"89479dbc-982f-4d36-aa51-a47599650508","resolution":{"observed_at":"2026-08-07T11:25:16.231467Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T11:25:16.217579Z","title":null,"venue":null,"work_id":"7601ae7e-858d-4c98-8d2e-b2e88d5ad721","year":2016},"citing_paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T11:25:16.070694Z"},"links":{"citing_paper":"/paper/2506.02699"},"observation_digest":"sha256:60150b3d4c28129e2e70045acc3ba3c30b2e208fbc44fe60331776b63c21f777","observation_id":"187b2c79-35fd-4c22-92d1-06a460afb70b","resolution":{"observed_at":"2026-08-07T11:25:16.221669Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1910.07226","last_updated":"2019-10-16T09:09:19Z","snapshot_observed_at":"2026-07-06T08:29:56.164821Z","submitted_at":"2019-10-16T09:09:19Z","title":"Genuine equivariant factorization homology","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1910.07226","snapshot_observed_at":"2026-08-07T11:25:16.073702Z","title":"Horev, Genuine equivariant factorization homology, available at arXiv: 1910.07226, 2019","venue":null,"work_id":null,"year":1910},"citing_paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T11:25:16.073702Z"},"links":{"cited_paper":"/paper/1910.07226","citing_paper":"/paper/2506.02699"},"observation_digest":"sha256:e2cc9b0ff6ab78ecf84f4d2cb6db4ebf141e090492cae3706457a19e5086c38e","observation_id":"1ff04ea5-033b-4890-afd3-a7cb6a0f95df","resolution":{"observed_at":"2026-08-07T11:25:16.073702Z","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":"2026-08-07T11:25:16.208332Z","title":"Lurie, Higher Topos Theory, Princeton University press, 2009","venue":null,"work_id":"2a96a3ba-421f-4185-93ce-e88c96fe69ad","year":2009},"citing_paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T11:25:16.077588Z"},"links":{"citing_paper":"/paper/2506.02699"},"observation_digest":"sha256:7e3b51088714d30aeccb7bfe3b18efbca24d73a70d864048885c34fe228363ce","observation_id":"ca451be6-b331-43f5-86a9-0625429171ed","resolution":{"observed_at":"2026-08-07T11:25:16.211587Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T11:25:16.199234Z","title":"Lurie, Higher Algebra, Available at the webpage of the author","venue":null,"work_id":"43472564-98e6-445d-aec3-7c814ccd4485","year":null},"citing_paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T11:25:16.080605Z"},"links":{"citing_paper":"/paper/2506.02699"},"observation_digest":"sha256:f50ef5bd9dfbf6d24868ce83a28a00ff185143f4dad72752811961c991b0e0df","observation_id":"09387d5e-1621-4230-b10b-d3f127150016","resolution":{"observed_at":"2026-08-07T11:25:16.202228Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T11:25:16.190085Z","title":"Miladinović, Equivariant stability and factorization homology, PhD thesis, University Paris 13, 2022","venue":null,"work_id":"4ad99d39-55e5-42fa-af45-29925d23470c","year":2022},"citing_paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T11:25:16.084378Z"},"links":{"citing_paper":"/paper/2506.02699"},"observation_digest":"sha256:d4a5e979ce5e2f7f3213fd0c0787ec5527e9d034f5cf1f2ddcf768a8043eb478","observation_id":"224ff41b-423b-42c4-ad43-42858d71610b","resolution":{"observed_at":"2026-08-07T11:25:16.193389Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1608.07704","last_updated":"2016-10-29T12:09:08Z","snapshot_observed_at":"2026-07-06T05:08:19.860042Z","submitted_at":"2016-08-27T13:00:09Z","title":"Parametrized higher category theory and higher algebra: Expos\\'e IV -- Stability with respect to an orbital $\\infty$-category","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.07704","snapshot_observed_at":"2026-08-07T11:25:16.088449Z","title":"Nardin, Parametrized higher category theory and higher algebra: expos\\' e IV - Stability with respect to an orbital -category , Available at arXiv:1608.07704","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T11:25:16.088449Z"},"links":{"cited_paper":"/paper/1608.07704","citing_paper":"/paper/2506.02699"},"observation_digest":"sha256:01ffb8340766d72648d922cefb25bc7571a25ae9145134bf4bfcacc6ee490dd2","observation_id":"3c610e33-8a9a-48ec-9377-0cd1ded192d4","resolution":{"observed_at":"2026-08-07T11:25:16.088449Z","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":"2026-08-07T11:25:16.179655Z","title":"Nardin, Stability and distributivity over orbital -categories, PhD thesis, Massachusetts Institute of Technology, 2017","venue":null,"work_id":"51dd5742-e1f7-42d3-a2e7-bcd9288a8a0d","year":2017},"citing_paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T11:25:16.091887Z"},"links":{"citing_paper":"/paper/2506.02699"},"observation_digest":"sha256:a3b1caf5e85a788548f42b716db9131dbb9d48bb904267380bd4fadda5b48948","observation_id":"fb5b3c2a-ebfe-49bf-a6eb-97c4669faa37","resolution":{"observed_at":"2026-08-07T11:25:16.183871Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.00072","last_updated":"2022-02-28T20:17:23Z","snapshot_observed_at":"2026-08-04T12:43:25.075114Z","submitted_at":"2022-02-28T20:17:23Z","title":"Parametrized and equivariant higher algebra","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.00072","snapshot_observed_at":"2026-08-07T11:25:16.094899Z","title":"Nardin, J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T11:25:16.094899Z"},"links":{"cited_paper":"/paper/2203.00072","citing_paper":"/paper/2506.02699"},"observation_digest":"sha256:89dc26d467a568762fe18bbc22583cdddebcba36cd2d2de537dc004abe612322","observation_id":"f60deef9-faec-4257-b581-ebf8fa4d5d84","resolution":{"observed_at":"2026-08-07T11:25:16.094899Z","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":"2026-08-07T11:25:16.169120Z","title":"Shah, Parametrized higher category theory, Algebraic & Geometric Topology 23 (2), 509-644, 2023","venue":null,"work_id":"f4b0317a-392e-4bf7-9100-297c3bcc1c34","year":2023},"citing_paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T11:25:16.098323Z"},"links":{"citing_paper":"/paper/2506.02699"},"observation_digest":"sha256:f1980ec6089b05048daaa887696018160798028907a658c80c33f56b143d256c","observation_id":"72d4d270-ce89-4cc3-bc01-97c7598bc269","resolution":{"observed_at":"2026-08-07T11:25:16.172828Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T11:25:16.156542Z","title":"tom Dieck, Transformation groups, Volume 8, De Gryter Studies in Mathematics, 1987","venue":null,"work_id":"6fe87e8e-c0fc-4a4b-9afa-a88795f37444","year":1987},"citing_paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T11:25:16.101335Z"},"links":{"citing_paper":"/paper/2506.02699"},"observation_digest":"sha256:909e325b91328016e858802aa85b13501d3858ea342c5a2f1214c91414fc7ff7","observation_id":"67edbd63-b589-41aa-a2de-4860543f77bd","resolution":{"observed_at":"2026-08-07T11:25:16.161973Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.02699","last_updated":"2025-06-03T09:49:24Z","latest_version":1,"primary_category":"math.AT","snapshot_observed_at":"2026-08-07T11:15:38.513501Z","submitted_at":"2025-06-03T09:49:24Z","title":"Universal property of framed $G$-disc algebras"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":9},"total_outbound_references":14},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2506.02699."}