{"as_of":"2026-08-08T03:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3a91ccbb3c806765add0bd81bf7765999c6f73e9bdc428b88c54cd69a6063218","coverage":[{"denominator":5,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T10:23:01.089888Z","state":"measured"},{"denominator":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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":"2026-08-07T05:48:55.095099Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-07T05:48:55.765872Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.05778","last_updated":"2025-06-06T06:15:19Z","snapshot_observed_at":"2026-08-07T10:11:12.202577Z","submitted_at":"2025-06-06T06:15:19Z","title":"Minimal generating sets of groups of Kim-Manturov","version":1},"cited_work":{"arxiv_id":"2506.05778","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.05778","snapshot_observed_at":"2026-08-07T05:48:55.765872Z","title":"Minimal generating sets of groups of Kim-Manturov","venue":"math.GT","work_id":"109eddbf-bce4-4a55-bc1e-7d84fc709875","year":2025},"citing_paper":{"arxiv_id":"2506.08050","last_updated":"2025-07-31T05:16:53Z","snapshot_observed_at":"2026-08-07T20:29:47.412445Z","submitted_at":"2025-06-09T00:46:22Z","title":"On the structure of groups defined by Kim and Manturov","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T05:48:55.095099Z"},"links":{"cited_paper":"/paper/2506.05778","citing_paper":"/paper/2506.08050"},"observation_digest":"sha256:91152a54bd401d39d3a5089d51b7699c279902f86d589ec814315033b0126b83","observation_id":"ea0ee0f6-b027-4152-8fa1-5ca0f7c0a620","resolution":{"observed_at":"2026-08-07T05:48:55.873936Z","resolver_source":"local_arxiv","status":"verified_exact"},"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"}}],"links":{"evidence":"/evidence","html":"/paper/2506.05778/citation-record","integrity":"/paper/2506.05778/integrity","json":"/paper/2506.05778/citation-record.json","paper":"/paper/2506.05778"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:23:01.927410Z","title":"Fulton, J","venue":null,"work_id":"e15db368-5a1a-470c-b81c-a763a472d7b3","year":1991},"citing_paper":{"arxiv_id":"2506.05778","last_updated":"2025-06-06T06:15:19Z","snapshot_observed_at":"2026-08-07T10:11:12.202577Z","submitted_at":"2025-06-06T06:15:19Z","title":"Minimal generating sets of groups of Kim-Manturov","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T10:23:00.861397Z"},"links":{"citing_paper":"/paper/2506.05778"},"observation_digest":"sha256:ba08801308d55aa6c3b774b2ed1c46ab67891c4d7469a15b439911a29b4d684d","observation_id":"658b01ad-8965-48fe-963f-2fc226914a19","resolution":{"observed_at":"2026-08-07T10:23:02.011820Z","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":"2026-08-07T10:23:01.686034Z","title":null,"venue":null,"work_id":"af405a57-20cf-41ac-9a69-47008f64eedb","year":2019},"citing_paper":{"arxiv_id":"2506.05778","last_updated":"2025-06-06T06:15:19Z","snapshot_observed_at":"2026-08-07T10:11:12.202577Z","submitted_at":"2025-06-06T06:15:19Z","title":"Minimal generating sets of groups of Kim-Manturov","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T10:23:00.912174Z"},"links":{"citing_paper":"/paper/2506.05778"},"observation_digest":"sha256:f5ad48b7f3a439e2b11bb1fd784aec4ea9fc61ec2872b611c24166f332fe11c8","observation_id":"630fe4c3-53c2-4c61-91a8-6b3918dd183f","resolution":{"observed_at":"2026-08-07T10:23:01.807515Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:23:01.505098Z","title":"Magnus, A","venue":null,"work_id":"bc4eb1e3-4382-40e9-9492-394856dc7226","year":1966},"citing_paper":{"arxiv_id":"2506.05778","last_updated":"2025-06-06T06:15:19Z","snapshot_observed_at":"2026-08-07T10:11:12.202577Z","submitted_at":"2025-06-06T06:15:19Z","title":"Minimal generating sets of groups of Kim-Manturov","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T10:23:00.969860Z"},"links":{"citing_paper":"/paper/2506.05778"},"observation_digest":"sha256:167fe696456fd5f23646e37daecc0efa224f0204169c549a84ebabdccc5a3948","observation_id":"059a677e-db82-4c6f-9a86-7f83da27e129","resolution":{"observed_at":"2026-08-07T10:23:01.597903Z","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":"2026-08-07T10:23:01.361357Z","title":null,"venue":null,"work_id":"4ccf7091-07c1-402b-b0f7-58ff29915761","year":2020},"citing_paper":{"arxiv_id":"2506.05778","last_updated":"2025-06-06T06:15:19Z","snapshot_observed_at":"2026-08-07T10:11:12.202577Z","submitted_at":"2025-06-06T06:15:19Z","title":"Minimal generating sets of groups of Kim-Manturov","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T10:23:01.026385Z"},"links":{"citing_paper":"/paper/2506.05778"},"observation_digest":"sha256:0e1eaec27f1ec610af249a976d1b7b17f0a1f10804b0c551bb4a73b362f3cf7e","observation_id":"d54b22fb-66e3-4e84-8e02-8b5bb787e384","resolution":{"observed_at":"2026-08-07T10:23:01.431926Z","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":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:23:01.171036Z","title":null,"venue":null,"work_id":"b2d827f6-0632-4b11-bc54-87a2cbc3a679","year":2012},"citing_paper":{"arxiv_id":"2506.05778","last_updated":"2025-06-06T06:15:19Z","snapshot_observed_at":"2026-08-07T10:11:12.202577Z","submitted_at":"2025-06-06T06:15:19Z","title":"Minimal generating sets of groups of Kim-Manturov","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T10:23:01.089888Z"},"links":{"citing_paper":"/paper/2506.05778"},"observation_digest":"sha256:d0e3745300486634022bb072e530910a1b5fbb259a6b7f382b794320896ae49a","observation_id":"fdb0692c-7c8c-4837-84fd-70290932fcd7","resolution":{"observed_at":"2026-08-07T10:23:01.245732Z","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"}}],"paper":{"arxiv_id":"2506.05778","last_updated":"2025-06-06T06:15:19Z","latest_version":1,"primary_category":"math.GT","snapshot_observed_at":"2026-08-07T10:11:12.202577Z","submitted_at":"2025-06-06T06:15:19Z","title":"Minimal generating sets of groups of Kim-Manturov"},"reference_resolution":{"displayed":5,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":2},"total_outbound_references":5},"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 5 of 5 outbound references and 1 inbound Pith citation observation for arXiv:2506.05778."}