{"as_of":"2026-08-18T05:58:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c7f0434396e1d9f7a4676bd00548d2474fcedac095e8a06f7ff3a11633b477b6","coverage":[{"denominator":10,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:17:38.827135Z","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":"2026-08-17T06:30:58.91139+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":"2026-08-16T10:19:09.843807Z","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":"2026-08-16T10:19:10.087319Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.10569","last_updated":"2025-07-08T22:00:05Z","snapshot_observed_at":"2026-08-16T03:55:04.325175Z","submitted_at":"2025-07-08T22:00:05Z","title":"Metrics on Permutation Families Defined by a Restriction Graph","version":1},"cited_work":{"arxiv_id":"2507.10569","doi":null,"metadata_source":"pith","pith_arxiv_id":"2507.10569","snapshot_observed_at":"2026-08-16T10:19:10.087319Z","title":"Metrics on Permutation Families Defined by a Restriction Graph","venue":"cs.DM","work_id":"9fcc3222-ae21-4e7a-8222-626d27c89ca0","year":2025},"citing_paper":{"arxiv_id":"2504.18690","last_updated":"2025-08-06T04:45:15Z","snapshot_observed_at":"2026-08-16T10:09:55.943816Z","submitted_at":"2025-04-25T20:56:00Z","title":"Black hole mimickers as relativistic stars calculated from the Tolman-Oppenheimer-Volkoff equations","version":4},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-16T10:19:09.843807Z"},"links":{"cited_paper":"/paper/2507.10569","citing_paper":"/paper/2504.18690"},"observation_digest":"sha256:734cbb168ca4573fbc8609dbbe4152fc35bd3fa1c77e9b9f18ef4873554f3064","observation_id":"e96268de-d9ff-4634-866f-3a37f5fc5381","resolution":{"observed_at":"2026-08-16T10:19:10.093944Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.10569/citation-record","integrity":"/paper/2507.10569/integrity","json":"/paper/2507.10569/citation-record.json","paper":"/paper/2507.10569"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:17:38.920334Z","title":"Harris, Erik Insko, and Darleen Perez-Lavin,Peak sets of classical Coxeter groups, Involve 10 (2017), no","venue":null,"work_id":"8f774fba-2dc9-4c60-ae28-88198b35d01a","year":2017},"citing_paper":{"arxiv_id":"2507.10569","last_updated":"2025-07-08T22:00:05Z","snapshot_observed_at":"2026-08-16T03:55:04.325175Z","submitted_at":"2025-07-08T22:00:05Z","title":"Metrics on Permutation Families Defined by a Restriction Graph","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T19:17:38.800414Z"},"links":{"citing_paper":"/paper/2507.10569"},"observation_digest":"sha256:e3d19c7e2e1d61b5977bf2a034193b31251ecd962db725951b1eb4f674f55bb4","observation_id":"55220c3c-254d-4c98-8070-2866aebafccb","resolution":{"observed_at":"2026-08-06T19:17:38.923139Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T19:17:38.913011Z","title":"Undergrad","venue":null,"work_id":"55e24f1d-001d-4bc9-bd96-910777c49d0d","year":2024},"citing_paper":{"arxiv_id":"2507.10569","last_updated":"2025-07-08T22:00:05Z","snapshot_observed_at":"2026-08-16T03:55:04.325175Z","submitted_at":"2025-07-08T22:00:05Z","title":"Metrics on Permutation Families Defined by a Restriction Graph","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T19:17:38.803849Z"},"links":{"citing_paper":"/paper/2507.10569"},"observation_digest":"sha256:790e971cd0f24afc5e03cfbc2c5d68596ed6a6e90c1421d1e50e9ea014f66a81","observation_id":"4e92f7e9-136d-4494-bad6-2053ab4befa3","resolution":{"observed_at":"2026-08-06T19:17:38.915603Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T19:17:38.905372Z","title":"5, 889–904","venue":null,"work_id":"e6555659-5628-41e8-88f4-8baaec59c1cd","year":2024},"citing_paper":{"arxiv_id":"2507.10569","last_updated":"2025-07-08T22:00:05Z","snapshot_observed_at":"2026-08-16T03:55:04.325175Z","submitted_at":"2025-07-08T22:00:05Z","title":"Metrics on Permutation Families Defined by a Restriction Graph","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T19:17:38.806910Z"},"links":{"citing_paper":"/paper/2507.10569"},"observation_digest":"sha256:1271da5fd7515d421ab8b84366f16c55da453416e5260fa5eb6c7593c25ee5e4","observation_id":"3e6751e3-6435-48a0-a1e8-337b57feb599","resolution":{"observed_at":"2026-08-06T19:17:38.908010Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T19:17:38.897036Z","title":null,"venue":null,"work_id":"d898a6bb-0aa1-4740-a911-af8eb633b373","year":1941},"citing_paper":{"arxiv_id":"2507.10569","last_updated":"2025-07-08T22:00:05Z","snapshot_observed_at":"2026-08-16T03:55:04.325175Z","submitted_at":"2025-07-08T22:00:05Z","title":"Metrics on Permutation Families Defined by a Restriction Graph","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T19:17:38.809727Z"},"links":{"citing_paper":"/paper/2507.10569"},"observation_digest":"sha256:0c0b9da86c6dfe1f74e7efe7a21fbece273289c850475cb3f482b6e0e6609c9b","observation_id":"6f792267-e462-408b-a830-d921423594c2","resolution":{"observed_at":"2026-08-06T19:17:38.899930Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T19:17:38.888415Z","title":null,"venue":null,"work_id":"829849e6-b7da-4401-8b89-5eeae5ddcd7c","year":1938},"citing_paper":{"arxiv_id":"2507.10569","last_updated":"2025-07-08T22:00:05Z","snapshot_observed_at":"2026-08-16T03:55:04.325175Z","submitted_at":"2025-07-08T22:00:05Z","title":"Metrics on Permutation Families Defined by a Restriction Graph","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T19:17:38.812713Z"},"links":{"citing_paper":"/paper/2507.10569"},"observation_digest":"sha256:b2936da740aebfac85a97e0b2cbff913ad501c9d14f90093ce6e56e046884d8d","observation_id":"be5550f2-3181-4c3e-9160-d5822640d811","resolution":{"observed_at":"2026-08-06T19:17:38.891492Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T19:17:38.879468Z","title":null,"venue":null,"work_id":"b2603ed8-dcb2-410e-ab0d-e52fe8941545","year":1945},"citing_paper":{"arxiv_id":"2507.10569","last_updated":"2025-07-08T22:00:05Z","snapshot_observed_at":"2026-08-16T03:55:04.325175Z","submitted_at":"2025-07-08T22:00:05Z","title":"Metrics on Permutation Families Defined by a Restriction Graph","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T19:17:38.815845Z"},"links":{"citing_paper":"/paper/2507.10569"},"observation_digest":"sha256:b122043b55fed9bbfc987a7c2dfc788e01a2cb60250307204af74ca2a5b1fdfe","observation_id":"53332e3c-3bc4-4535-8269-1bf6ddf7f493","resolution":{"observed_at":"2026-08-06T19:17:38.882244Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T19:17:38.871519Z","title":"Knuth,The Art of Computer Programming, Volume 3: Sorting and Searching, 2nd ed., Addison-Wesley Professional, Reading, MA, 1998","venue":null,"work_id":"e130e4f7-2130-4c5f-ac9a-02dfc8c6a37a","year":1998},"citing_paper":{"arxiv_id":"2507.10569","last_updated":"2025-07-08T22:00:05Z","snapshot_observed_at":"2026-08-16T03:55:04.325175Z","submitted_at":"2025-07-08T22:00:05Z","title":"Metrics on Permutation Families Defined by a Restriction Graph","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T19:17:38.819403Z"},"links":{"citing_paper":"/paper/2507.10569"},"observation_digest":"sha256:44995fe3121b16c2a1d3b2fef2fabac205ad108a2565caa9ec2b94bea7f36b04","observation_id":"147697a6-4f36-4165-9022-66c9b68be7fa","resolution":{"observed_at":"2026-08-06T19:17:38.874394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T19:17:38.863039Z","title":"MacMahon,The indices of permutations and the derivation therefrom of functions of a single variable associated with the permutations of any assemblage of objects, Amer","venue":null,"work_id":"a5b385f8-d020-4dfa-9ef9-abe52b094ed8","year":1913},"citing_paper":{"arxiv_id":"2507.10569","last_updated":"2025-07-08T22:00:05Z","snapshot_observed_at":"2026-08-16T03:55:04.325175Z","submitted_at":"2025-07-08T22:00:05Z","title":"Metrics on Permutation Families Defined by a Restriction Graph","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T19:17:38.822000Z"},"links":{"citing_paper":"/paper/2507.10569"},"observation_digest":"sha256:dd92320459038928f7093820a423692f8987b7a42bfec0d63ef383f5edf90d68","observation_id":"41b32051-ca52-47d9-8a69-f99a0eaa3f8d","resolution":{"observed_at":"2026-08-06T19:17:38.865875Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T19:17:38.854654Z","title":"Stanley,Enumerative Combinatorics, Volume 1, 2nd ed., Cambridge Studies in Advanced Mathematics, vol","venue":null,"work_id":"40b902fa-3bac-4b1c-b0fb-69e156c15d22","year":2012},"citing_paper":{"arxiv_id":"2507.10569","last_updated":"2025-07-08T22:00:05Z","snapshot_observed_at":"2026-08-16T03:55:04.325175Z","submitted_at":"2025-07-08T22:00:05Z","title":"Metrics on Permutation Families Defined by a Restriction Graph","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T19:17:38.824605Z"},"links":{"citing_paper":"/paper/2507.10569"},"observation_digest":"sha256:419af5e5d738d5f56bf1ac37f662fed17e705a706ab83ad1166a63371dbb3800","observation_id":"d215b7e4-2ed8-4367-ac57-ccda4d2e1b15","resolution":{"observed_at":"2026-08-06T19:17:38.857890Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-06T19:17:38.844700Z","title":"Trotter,Combinatorics and Partially Ordered Sets: Dimension Theory, Johns Hopkins Series in the Mathematical Sciences, Johns Hopkins University Press, Baltimore, MD, 1992","venue":null,"work_id":"ffb1f41a-4161-4142-a799-b00fa6c68b7a","year":1992},"citing_paper":{"arxiv_id":"2507.10569","last_updated":"2025-07-08T22:00:05Z","snapshot_observed_at":"2026-08-16T03:55:04.325175Z","submitted_at":"2025-07-08T22:00:05Z","title":"Metrics on Permutation Families Defined by a Restriction Graph","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T19:17:38.827135Z"},"links":{"citing_paper":"/paper/2507.10569"},"observation_digest":"sha256:72b90b1548991f7edb560fc5105db66cc5468825e652ed2310652075f5e19f85","observation_id":"c9ae942e-3820-406f-a2fe-1ff217ec362f","resolution":{"observed_at":"2026-08-06T19:17:38.849202Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.10569","last_updated":"2025-07-08T22:00:05Z","latest_version":1,"primary_category":"cs.DM","snapshot_observed_at":"2026-08-16T03:55:04.325175Z","submitted_at":"2025-07-08T22:00:05Z","title":"Metrics on Permutation Families Defined by a Restriction Graph"},"reference_resolution":{"displayed":10,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":0,"verified_fuzzy":7},"total_outbound_references":10},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2507.10569."}