{"as_of":"2026-08-19T20:13:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:995d685c8dcbfcc09432a6d38ab224a704c5fab4596b6bbc0f2c10d9ce82b3dc","coverage":[{"denominator":16,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":16,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T11:32:58.589058Z","state":"measured"},{"denominator":17,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":17,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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":"2026-06-28T21:49:27.561734Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-01T19:56:11.581627Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"cited_work":{"arxiv_id":"2502.07926","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.07926","snapshot_observed_at":"2026-07-01T19:56:11.581627Z","title":"2502.07926 , eprinttype =","venue":null,"work_id":"6767cc19-29bb-4e7f-bd36-e57f2bf99141","year":null},"citing_paper":{"arxiv_id":"2606.00273","last_updated":"2026-05-29T19:07:19Z","snapshot_observed_at":"2026-08-10T22:32:28.069367Z","submitted_at":"2026-05-29T19:07:19Z","title":"$(P,\\phi)$-Tamari and higher torsion lattices of type $\\mathbf{A}$","version":1},"reference_index":87,"source":"arxiv_source","source_observed_at":"2026-06-28T21:49:27.561734Z"},"links":{"cited_paper":"/paper/2502.07926","citing_paper":"/paper/2606.00273"},"observation_digest":"sha256:fb371ca7aae1bd0b16afdda12ed80060d07505d100c7f8d9e0664e34f5bebe00","observation_id":"fd8d60c4-5929-4589-963d-8746c45f5e6f","resolution":{"observed_at":"2026-07-01T19:56:11.583190Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2502.07926/citation-record","integrity":"/paper/2502.07926/integrity","json":"/paper/2502.07926/citation-record.json","paper":"/paper/2502.07926"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T11:32:59.181135Z","title":"The Hopf algebras of symmet ric functions and quasi-symmetric functions in non-commutative variables a re free and co-free","venue":null,"work_id":"cd5b0f89-ec1a-47f4-b56c-a6cf8092ad0b","year":2009},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.363036Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:33a0337d5741fd7ae643c121e25b2586ba0486c6c1088b17e445731b03b8c7c8","observation_id":"2b05fa41-0462-4ec1-83ab-beaf848da3d3","resolution":{"observed_at":"2026-08-08T11:32:59.185351Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T11:32:59.169330Z","title":"Mappings of acyclic and parking functions","venue":null,"work_id":"e3b9a979-f5fe-4d68-8cf9-a4ccfbc57627","year":1973},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.368126Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:685debe0050891fb93fbe4eb4ed18fcfcf7a9dfbeb23e6faff598d44ae957fa8","observation_id":"dda2dfa5-5e84-424c-9b0c-8646df0cbe1e","resolution":{"observed_at":"2026-08-08T11:32:59.172995Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T11:32:59.157319Z","title":"Bidendriform bialgebras, trees, and free qu asi-symmetric func- tions","venue":null,"work_id":"d083b84e-cf3c-42d4-aaec-f2b07952ecd5","year":2007},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.372618Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:95d56c0f1fe9b3cd173d19a3172278be1c2a8c7768634ce2b8bd33f1138aac43","observation_id":"5364dcee-d67b-41a5-a32a-753bfc644eee","resolution":{"observed_at":"2026-08-08T11:32:59.161117Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T11:32:59.140729Z","title":"r-QSym is free over Sym","venue":null,"work_id":"1807c73c-7fa7-4b6f-98b3-7140913bcda8","year":2007},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.376842Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:55c08fc395aa139551f06de41dc201823d40d7938f9158c539e35cdf58fefd72","observation_id":"998e3417-3964-470f-ac4c-f2f61ca9f579","resolution":{"observed_at":"2026-08-08T11:32:59.149031Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T11:32:59.127937Z","title":"Combinatoire des fonctions quasi-sym´ etri ques","venue":null,"work_id":"ff6e82f8-aa45-4f6c-aae2-f28c47873fb4","year":1999},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.381498Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:5f882fb676d5a69bca7a929c3a306fff6ee1daaa7935e8b76daacb70fbb2ad45","observation_id":"cbad0a79-1787-4c09-bf82-cd140eb275ea","resolution":{"observed_at":"2026-08-08T11:32:59.132070Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T11:32:59.114945Z","title":"Local action of the symmetric group and gener aliza- tions of quasi-symmetric functions","venue":null,"work_id":"31918951-1c90-4ad3-9e08-b26ff66aa829","year":2004},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.385976Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:e49f9852cf33a7e82954da7408ec48fd0e38592fbb8c27d69b85267b312442a2","observation_id":"a85ee8b5-c671-4992-93e6-dd9b4dac89af","resolution":{"observed_at":"2026-08-08T11:32:59.119216Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T11:32:59.101781Z","title":"An occupancy discipline and a pplications","venue":null,"work_id":"be20e45c-78c3-44ba-a375-6abc930c8fed","year":1966},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.390662Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:bf859548fc336337658300e8f372444f51d3303687a475aa52708762476bc34e","observation_id":"b1ede125-7547-4410-9877-e2189214094b","resolution":{"observed_at":"2026-08-08T11:32:59.106118Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T11:32:59.086941Z","title":"Le Mono ¨ ıde plaxi que","venue":null,"work_id":"b13d9028-3bcf-474e-9d8b-0d520adffea6","year":1981},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.394785Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:4a850dc3c815f1b48ddc69860e853f3b0e8b7b07ef5d668dd868cd497c3e18d8","observation_id":"e9142f0c-8507-456a-8311-310319210c48","resolution":{"observed_at":"2026-08-08T11:32:59.091768Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"1995.1336","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T11:32:59.012292Z","title":"Duality between quasi- symmetrical func- tions and the Solomon descent algebra","venue":null,"work_id":"a046f3f4-4456-40fe-aa1b-57d2faf694bf","year":1995},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.398879Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:90e0a85ead05d726e82e42e91f8c153e317dd9bd209418d62701fd71ba7f51a7","observation_id":"0c63a14c-3b4e-4873-9f5b-eaa0f7633497","resolution":{"observed_at":"2026-08-08T11:32:59.020039Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0312126","last_updated":"2003-12-05T17:15:40Z","snapshot_observed_at":"2026-08-18T11:55:21.082215Z","submitted_at":"2003-12-05T17:15:40Z","title":"A Hopf algebra of parking functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0312126","snapshot_observed_at":"2026-08-08T11:32:58.403059Z","title":"A Hopf algebra of parki ng functions","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.403059Z"},"links":{"cited_paper":"/paper/math/0312126","citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:9f9728824de3d1f6ef178349f466f0d2efb34caffceeee71279c281414b10ac8","observation_id":"77d9ba58-d3b2-4abe-8e15-229f47ad6df4","resolution":{"observed_at":"2026-08-08T11:32:58.403059Z","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":"10.4064/fm193-3-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Hopf algebras and dend riform structures aris- ing from parking functions","venue":"Fundamenta Mathematicae","work_id":"3bae40d4-497e-41a9-afa9-dbc0eed09807","year":2005},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.407917Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:1d8acf5adf53bae7eca894c186d336c8f0684deb6d6d238153b5fbe671246b5c","observation_id":"aa0f8a43-1c62-404f-b7f1-daa73e4490a5","resolution":{"observed_at":"2026-08-08T11:32:58.805179Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T11:32:59.072496Z","title":"Permutation factorizations and prime park ing functions","venue":null,"work_id":"d85b724d-f5ee-450b-8c55-84c44368acb2","year":2006},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.412225Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:0dafc9df0c9d89ace47d91678db815a423bbf84b20e8b05bc48a017f77f4e026","observation_id":"42793e22-79b7-456f-94fc-9070a24bae39","resolution":{"observed_at":"2026-08-08T11:32:59.077525Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T11:32:59.058845Z","title":"On the enumeration of rooted trees wi th fixed size of maximal decreasing trees","venue":null,"work_id":"58aad4ac-2f9c-4323-91ff-f3d8a0ec5b8f","year":2012},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.439461Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:4c521c417bcd0178601bf48bf376736428766dba09538ce904f574a956df2460","observation_id":"b98f6c34-205f-4159-8291-037008210ec5","resolution":{"observed_at":"2026-08-08T11:32:59.063170Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T11:32:59.044559Z","title":null,"venue":null,"work_id":"013a95cc-0c6f-40ff-bb3b-d0e63d1f5a48","year":2023},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.473851Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:c243c30932b8a63c978991615a28dfdb1699e557fc4448677dd97d09ab6cdd35","observation_id":"92e72441-063d-4394-9c27-fe0eeef527be","resolution":{"observed_at":"2026-08-08T11:32:59.049106Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-08T11:32:59.029402Z","title":"Hyperplane arrangements, parking functi ons and tree inver- sions","venue":null,"work_id":"b465e899-e6b7-4eea-8ff8-5322db8bc987","year":1998},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.548704Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:e118b86090de4c6b55caf1f123d5f6c0011c05f0c72ee2efed8a53c98b7d79c0","observation_id":"3622f621-2da2-47c6-a2b9-ba9cc883a0c8","resolution":{"observed_at":"2026-08-08T11:32:59.034042Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1215/s0012-7094-36-00253-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Symmetric functions of non-commutative el ements","venue":"Duke Mathematical Journal","work_id":"51b0f67b-cd0a-4ffc-9108-ae03826bc7a6","year":1936},"citing_paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-08T11:32:58.589058Z"},"links":{"citing_paper":"/paper/2502.07926"},"observation_digest":"sha256:5af3613df723a3db59dad4c262a31ea3668e69a89b3f7367bf3cde5d236b8768","observation_id":"057babb5-e40b-4b1b-bae1-0ab5d1978ea0","resolution":{"observed_at":"2026-08-08T11:32:58.673983Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2502.07926","last_updated":"2025-02-11T19:59:11Z","latest_version":1,"primary_category":"math.CO","snapshot_observed_at":"2026-08-19T18:26:31.726265Z","submitted_at":"2025-02-11T19:59:11Z","title":"The free and parking quasi-symmetrizing actions"},"reference_resolution":{"displayed":16,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":2,"verified_exact":3,"verified_fuzzy":11},"total_outbound_references":16},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2502.07926."}