{"as_of":"2026-08-08T05:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:119c2051df0db0ae4b4bec47c831b2878ba2128e98f915783060a641c9bd20b7","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":"2026-05-24T03:49:09.346271Z","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/2402.14024/citation-record","integrity":"/paper/2402.14024/integrity","json":"/paper/2402.14024/citation-record.json","paper":"/paper/2402.14024"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Aigner and G.M","venue":null,"work_id":"e6bd7a01-3b2c-42b4-82b3-a25cbe114f36","year":2018},"citing_paper":{"arxiv_id":"2402.14024","last_updated":"2026-05-19T14:38:54Z","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-24T03:49:09.346271Z"},"links":{"citing_paper":"/paper/2402.14024"},"observation_digest":"sha256:1c67cbe780225ecc588ffa16e0a13290e745397c5dc903e18da7d8494baec80f","observation_id":"3d591f2f-2e18-40ff-ac00-e3d4d24e39c1","resolution":{"observed_at":"2026-05-24T04:08:53.931487Z","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":"2026-06-05T21:23:00.469572Z","title":"Atserias and L","venue":null,"work_id":"b378e1f0-8508-47e6-a9d6-8a17120eb7a9","year":2019},"citing_paper":{"arxiv_id":"2402.14024","last_updated":"2026-05-19T14:38:54Z","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-24T03:49:09.346271Z"},"links":{"citing_paper":"/paper/2402.14024"},"observation_digest":"sha256:ccefd363f8be38997e09832044e0630362c8880d2a4351697d33c4250f562aca","observation_id":"da7b673c-01bd-407e-be14-f442991b084f","resolution":{"observed_at":"2026-05-24T04:08:53.928500Z","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":"2026-06-05T21:23:00.469572Z","title":"Banica, Quantum automorphism groups of homogeneous graphs , J","venue":null,"work_id":"1f8a02dc-be5c-4533-8fd7-99af80640458","year":2005},"citing_paper":{"arxiv_id":"2402.14024","last_updated":"2026-05-19T14:38:54Z","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-24T03:49:09.346271Z"},"links":{"citing_paper":"/paper/2402.14024"},"observation_digest":"sha256:2520e34ab076f8af989d9101031355e5899706a03bb6f2c5db5dced82acfae95","observation_id":"84581da0-eb50-4666-874b-2de6f4038c84","resolution":{"observed_at":"2026-05-24T04:08:53.955836Z","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":"2026-06-05T21:23:00.469572Z","title":"Bichon, Quantum automorphism groups of ﬁnite graphs , Proc","venue":null,"work_id":"8abf7efa-1388-467b-8d30-6deefa2cb1ac","year":2003},"citing_paper":{"arxiv_id":"2402.14024","last_updated":"2026-05-19T14:38:54Z","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-24T03:49:09.346271Z"},"links":{"citing_paper":"/paper/2402.14024"},"observation_digest":"sha256:ac32d169e47ba68db5d60a79e512e3d4d030832a65929a17d1e50f5030a0b33d","observation_id":"38376c93-9e33-4c01-9737-db81b78fee7a","resolution":{"observed_at":"2026-05-24T04:08:53.963190Z","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":"2026-06-05T21:23:00.469572Z","title":"Brown and N","venue":null,"work_id":"afbb8f3d-f8a4-45b7-a2b1-6074c9f1ade0","year":2008},"citing_paper":{"arxiv_id":"2402.14024","last_updated":"2026-05-19T14:38:54Z","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-24T03:49:09.346271Z"},"links":{"citing_paper":"/paper/2402.14024"},"observation_digest":"sha256:29ce96766ed60ce4e808d9bfd7b2dcb56ae8c5a853d6c6fe3331426286d8e72a","observation_id":"7a34e875-6a39-4ed8-b509-f985a6833283","resolution":{"observed_at":"2026-05-24T04:08:53.952264Z","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":"2026-06-05T21:23:00.469572Z","title":"van Dobben de Bruyn, P","venue":null,"work_id":"f8124dea-18c8-4582-8255-7e7113ddd80a","year":2023},"citing_paper":{"arxiv_id":"2402.14024","last_updated":"2026-05-19T14:38:54Z","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-24T03:49:09.346271Z"},"links":{"citing_paper":"/paper/2402.14024"},"observation_digest":"sha256:2c0b76ac15af86f624ad2acd711dba9ef5714241fe1c05b8a6b92a8b6886d3d1","observation_id":"e25329b0-88b4-48e5-b8c5-64ae522ececc","resolution":{"observed_at":"2026-05-24T04:08:53.944926Z","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":"2026-06-05T21:23:00.469572Z","title":"Erdös and A","venue":null,"work_id":"d3072642-90d4-4e9f-a3fa-da5d3aa358c9","year":1963},"citing_paper":{"arxiv_id":"2402.14024","last_updated":"2026-05-19T14:38:54Z","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-24T03:49:09.346271Z"},"links":{"citing_paper":"/paper/2402.14024"},"observation_digest":"sha256:31efd97c92214b8990d3705b7150915ff378bf39b1b2979eb8c47e78cdd8ed7b","observation_id":"982dd78f-8602-4090-9ba7-42e23ee96ba9","resolution":{"observed_at":"2026-05-24T04:08:53.916470Z","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":"2026-06-05T21:23:00.469572Z","title":"Fima, Kazhdan’s property T for discrete quantum groups , Internat","venue":null,"work_id":"57410d3e-42b6-42b7-9d80-4b1f9661ba5f","year":2010},"citing_paper":{"arxiv_id":"2402.14024","last_updated":"2026-05-19T14:38:54Z","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-24T03:49:09.346271Z"},"links":{"citing_paper":"/paper/2402.14024"},"observation_digest":"sha256:78a9665d098da00e396a44307ec3378e178e870ecc529ec52b25a332527dcb15","observation_id":"f7ff518f-7553-465d-b591-1ff30bde9483","resolution":{"observed_at":"2026-05-24T04:08:53.938538Z","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":"2026-06-05T21:23:00.469572Z","title":"Junk and S","venue":null,"work_id":"18206aa4-71b7-46be-af65-bcdc60743f31","year":2020},"citing_paper":{"arxiv_id":"2402.14024","last_updated":"2026-05-19T14:38:54Z","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-24T03:49:09.346271Z"},"links":{"citing_paper":"/paper/2402.14024"},"observation_digest":"sha256:05160214a934346678fa67171e53a22aab1e9ba7c636eaed84045cd3128c429e","observation_id":"e9bb2d43-b5a0-4425-b5c8-5f91fb7d6bc1","resolution":{"observed_at":"2026-05-24T04:08:53.942124Z","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":"2026-06-05T21:23:00.469572Z","title":"Lupini and L","venue":null,"work_id":"9f407487-0bf3-4317-b8e1-551ab6a98c32","year":2020},"citing_paper":{"arxiv_id":"2402.14024","last_updated":"2026-05-19T14:38:54Z","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-24T03:49:09.346271Z"},"links":{"citing_paper":"/paper/2402.14024"},"observation_digest":"sha256:28e2d61e248e7e52f874323d3b185484dbd1257acc4432e04926e763c0f143d0","observation_id":"e5f7df51-9035-47cc-b723-689be0daa627","resolution":{"observed_at":"2026-05-24T04:08:53.959335Z","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":"2026-06-05T21:23:00.469572Z","title":"Meunier, Quantum properties of F -cographs, Arxiv preprint (2023)","venue":null,"work_id":"1d877007-9e03-4e09-a281-872a68d45874","year":2023},"citing_paper":{"arxiv_id":"2402.14024","last_updated":"2026-05-19T14:38:54Z","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-24T03:49:09.346271Z"},"links":{"citing_paper":"/paper/2402.14024"},"observation_digest":"sha256:03eca518e8ca5f174783a7fc9e68b1c9e88cb86ad4129f3b5f030363f9ae819f","observation_id":"441e4d85-dc93-42c1-8126-b9a618ff961b","resolution":{"observed_at":"2026-05-24T04:08:53.934954Z","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":"2026-06-05T21:23:00.469572Z","title":"Schmidt, Quantum automorphism groups of folded cube graphs , Ann","venue":null,"work_id":"031104f6-f82b-472e-91bf-da7434c2b484","year":2020},"citing_paper":{"arxiv_id":"2402.14024","last_updated":"2026-05-19T14:38:54Z","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-24T03:49:09.346271Z"},"links":{"citing_paper":"/paper/2402.14024"},"observation_digest":"sha256:3b38eec0ec004a7dd06e8cc81a6d72169c0c1a14e909a2cd990448e19df5dad0","observation_id":"f05c3d54-aef9-442c-be89-0adf31b6a3fb","resolution":{"observed_at":"2026-05-24T04:08:53.925081Z","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":"2026-06-05T21:23:00.469572Z","title":"Weber, On the classiﬁcation of easy quantum groups – The nonhyperoc tahedral and the half- liberated case, Adv","venue":null,"work_id":"0a8db147-102e-44c8-9a6e-ce5cbdfe7bf7","year":2013},"citing_paper":{"arxiv_id":"2402.14024","last_updated":"2026-05-19T14:38:54Z","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-24T03:49:09.346271Z"},"links":{"citing_paper":"/paper/2402.14024"},"observation_digest":"sha256:f23e20a27fdc51539561e55903d51ab4491d9311ce70ed55fec038e71d921461","observation_id":"b3bee777-b1d3-40e9-a030-8641455cd307","resolution":{"observed_at":"2026-05-24T04:08:53.948800Z","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":"2026-06-05T21:23:00.469572Z","title":"Woronowicz, Compact quantum groups , Symétries quantiques (Les Houches, 1995) (1998), 845– 884","venue":null,"work_id":"76a4f8cf-a279-44cd-b031-cf2523f24a46","year":1995},"citing_paper":{"arxiv_id":"2402.14024","last_updated":"2026-05-19T14:38:54Z","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-24T03:49:09.346271Z"},"links":{"citing_paper":"/paper/2402.14024"},"observation_digest":"sha256:d221c37fc70cf55ce1819d357cec4467eb01df152c38164a8b2a49e75022ef73","observation_id":"df791703-42b9-4283-8ae5-f5091e493645","resolution":{"observed_at":"2026-05-24T04:08:53.921086Z","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":"2402.14024","last_updated":"2026-05-19T14:38:54Z","latest_version":2,"primary_category":"math.OA","snapshot_observed_at":"2026-08-07T23:11:09.293722Z","submitted_at":"2024-02-07T15:52:09Z","title":"Patterns in trees and quantum automorphism groups"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":14},"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:2402.14024."}