{"as_of":"2026-08-17T01:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:502c0aa0782243256698fef09d6b757a8a1829c5bf980e03cdd48921260bc395","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":"2026-08-06T17:41:49.907037Z","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":"2026-08-16T06:30:59.297886+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/2507.11291/citation-record","integrity":"/paper/2507.11291/integrity","json":"/paper/2507.11291/citation-record.json","paper":"/paper/2507.11291"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bfb0032036","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"Accessed: 2025/07/01","venue":"Lecture notes in computer science","work_id":"3ee73d8a-9896-4e49-ba30-388826bfafec","year":2025},"citing_paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T17:41:49.896938Z"},"links":{"citing_paper":"/paper/2507.11291"},"observation_digest":"sha256:37b2b91cee60d71956c9b8c55b069471bc58944c4faa798b4b426e6308d21eb3","observation_id":"99fe01bb-08fc-4e1f-94c2-c55d1553c0b7","resolution":{"observed_at":"2026-08-06T17:41:49.943775Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.00348","last_updated":"2020-10-01T12:25:52Z","snapshot_observed_at":"2026-08-16T19:16:36.200503Z","submitted_at":"2020-10-01T12:25:52Z","title":"Counting 4-Patterns in Permutations Is Equivalent to Counting 4-Cycles in Graphs","version":1},"cited_work":{"arxiv_id":"2010.00348","doi":null,"metadata_source":"pith","pith_arxiv_id":"2010.00348","snapshot_observed_at":"2026-08-06T17:41:50.189427Z","title":"Counting 4-Patterns in Permutations Is Equivalent to Counting 4-Cycles in Graphs","venue":"cs.DS","work_id":"a273f3d6-d5c4-41e0-a561-e1a335e06d42","year":2020},"citing_paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T17:41:49.870243Z"},"links":{"cited_paper":"/paper/2010.00348","citing_paper":"/paper/2507.11291"},"observation_digest":"sha256:d500a99abeef46b2ada492b22d6059cecb3d6aaa1b47f323268937074a91f759","observation_id":"4a3cb3eb-3754-4719-bad9-18c33d647dcf","resolution":{"observed_at":"2026-08-06T17:41:50.195190Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.ic.2003.09.003","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"On the strength of comparisons in property testing.Inf","venue":"Information and Computation","work_id":"5d10f0d1-b4d1-4e34-ba98-2f130b38179b","year":2004},"citing_paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T17:41:49.876306Z"},"links":{"citing_paper":"/paper/2507.11291"},"observation_digest":"sha256:d8f72e64f2caac5c8f8a7c6918112e503fd8239223be9be1ad37d9fec09634ea","observation_id":"ef59775a-dd59-4f25-a2f3-b7dc94af3052","resolution":{"observed_at":"2026-08-06T17:41:49.987317Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"0135.80441","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:41:50.147635Z","title":"[Zha24] Xiaojin Zhang","venue":null,"work_id":"618adb66-da17-49bb-9893-4eb5c0c111f2","year":2024},"citing_paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams","version":2},"reference_index":1979,"source":"pdf_text","source_observed_at":"2026-08-06T17:41:49.907037Z"},"links":{"citing_paper":"/paper/2507.11291"},"observation_digest":"sha256:e7aa6512219265785a89d5b7def936d8785ce284ed47e29e6faa80a54236115f","observation_id":"97e7f11b-8fc2-45d7-ab8b-ab32ade67f23","resolution":{"observed_at":"2026-08-06T17:41:50.155401Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:41:49.886894Z","title":"Testing for forbidden order patterns in an array.Random Structures & Algorithms, 55(2):402–426, 2019.doi:10.1002/rsa.20840","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams","version":2},"reference_index":1990,"source":"pdf_text","source_observed_at":"2026-08-06T17:41:49.886894Z"},"links":{"citing_paper":"/paper/2507.11291"},"observation_digest":"sha256:abe5f757621566fadcbda33489b8c58330d969b9f3fd95107833596bf910a63b","observation_id":"47449adc-5846-411b-8267-3baea8d5df5c","resolution":{"observed_at":"2026-08-06T17:41:49.886894Z","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":"2026-08-06T17:41:50.374947Z","title":"[BC18] Omri Ben-Eliezer and Cl´ ement L","venue":null,"work_id":"97e12cd4-7f0c-45cf-a284-9e8fcf689083","year":null},"citing_paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams","version":2},"reference_index":1998,"source":"pdf_text","source_observed_at":"2026-08-06T17:41:49.849556Z"},"links":{"citing_paper":"/paper/2507.11291"},"observation_digest":"sha256:72b0b54f631b94596b19db219bee603ea9f704ae7b46551009000192e6d1d786","observation_id":"84692daa-e300-4aa6-a726-ed02a8d27b4f","resolution":{"observed_at":"2026-08-06T17:41:50.379718Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:41:49.844374Z","title":"[BBL98] Prosenjit Bose, Jonathan F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams","version":2},"reference_index":2000,"source":"pdf_text","source_observed_at":"2026-08-06T17:41:49.844374Z"},"links":{"citing_paper":"/paper/2507.11291"},"observation_digest":"sha256:76cfb40a51d8b6654e0287c5c11232eabece20dc88199d6e9364d990400ca38d","observation_id":"6dc0ab57-3b36-4e1a-bfea-f5bdbbc9a4eb","resolution":{"observed_at":"2026-08-06T17:41:49.844374Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:41:49.838573Z","title":"doi:10.1145/ 509907.509964","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams","version":2},"reference_index":2002,"source":"pdf_text","source_observed_at":"2026-08-06T17:41:49.838573Z"},"links":{"citing_paper":"/paper/2507.11291"},"observation_digest":"sha256:87fda5e2d18a61241775b5caeeedd3f5b3265c9f9d493c778efc6cfed6992b6d","observation_id":"4a409ad3-e696-4b12-a232-34d488b7ced5","resolution":{"observed_at":"2026-08-06T17:41:49.838573Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-06T17:41:50.359167Z","title":null,"venue":null,"work_id":"84d60d23-b389-4657-9496-cfa8be56bcbe","year":null},"citing_paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams","version":2},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-06T17:41:49.881839Z"},"links":{"citing_paper":"/paper/2507.11291"},"observation_digest":"sha256:0c3427e2c99d638404f40afb4b1299c0afb11381ee3ea85a1a4e09099743d689","observation_id":"9a1a4034-3641-4dcf-b5e3-cb36d97ee6db","resolution":{"observed_at":"2026-08-06T17:41:50.364457Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/1.9781611975031.137","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"[BEL W22] Omri Ben-Eliezer, Shoham Letzter, and Erik Waingarten","venue":"Society for Industrial and Applied Mathematics eBooks","work_id":"612cbe54-7880-4e48-8766-bd79366da2e3","year":null},"citing_paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams","version":2},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-06T17:41:49.854862Z"},"links":{"citing_paper":"/paper/2507.11291"},"observation_digest":"sha256:8641cdff7f0160ae0802575c255a215f25cdecc62bcc2b5a58632ae24520b110","observation_id":"3e15ae43-66df-4210-9f98-0b1ce1efc439","resolution":{"observed_at":"2026-08-06T17:41:50.020869Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1409.5159","last_updated":"2015-01-04T21:04:19Z","snapshot_observed_at":"2026-08-14T23:19:04.218872Z","submitted_at":"2014-09-17T22:10:54Z","title":"Permutation classes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1409.5159","snapshot_observed_at":"2026-08-06T17:41:49.902060Z","title":"Schensted","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams","version":2},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-06T17:41:49.902060Z"},"links":{"cited_paper":"/paper/1409.5159","citing_paper":"/paper/2507.11291"},"observation_digest":"sha256:c48d1cbb5a18f6c01514e2dd95183cad5a7a040ed1c7ec203eecff2e2363f71d","observation_id":"03325167-3f81-4a2b-af46-c94b9dd6d363","resolution":{"observed_at":"2026-08-06T17:41:49.902060Z","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":"2411.04718","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:41:50.270910Z","title":"[BKTW21] ´Edouard Bonnet, Eun Jung Kim, St´ ephan Thomass´ e, and R´ emi Watrigant","venue":null,"work_id":"5d79adf4-9b44-4820-8664-34aca913a522","year":2021},"citing_paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams","version":2},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-06T17:41:49.864954Z"},"links":{"citing_paper":"/paper/2507.11291"},"observation_digest":"sha256:07a72b0b92662d7de238ea37f677e838d0f24dfb5d5f9fb9d7345c3f406ebdc0","observation_id":"f18621a7-3b3c-4e76-b8d5-914203b0a117","resolution":{"observed_at":"2026-08-06T17:41:50.278996Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.4230/lipics.icalp.2022.17","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"doi: 10.4230/LIPIcs.ICALP.2022.17","venue":"DROPS (Schloss Dagstuhl – Leibniz Center for Informatics)","work_id":"d5a8091b-b535-49c3-ba71-0fb5b1c4748a","year":2022},"citing_paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams","version":2},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-06T17:41:49.860001Z"},"links":{"citing_paper":"/paper/2507.11291"},"observation_digest":"sha256:0a02f57b2ea0c2a3f17023c903bfe9d4035e3927557c0c1a759d0ab245dc0086","observation_id":"9e5b54ef-8100-40a0-8e15-6d78d3da492f","resolution":{"observed_at":"2026-08-06T17:41:50.004025Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.46298/theoretics.24","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:41:49.954840Z","title":null,"venue":null,"work_id":"85948b0d-3f62-4426-8d0b-260dc9ac82bb","year":null},"citing_paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams","version":2},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-06T17:41:49.891607Z"},"links":{"citing_paper":"/paper/2507.11291"},"observation_digest":"sha256:ade372581f6161df04073fcebed7ac56b4d168767b31d152eec75fe220c02a73","observation_id":"8929295c-f1c1-42b5-a7c6-04795b30814e","resolution":{"observed_at":"2026-08-06T17:41:49.959542Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.11291","last_updated":"2025-07-18T12:46:45Z","latest_version":2,"primary_category":"cs.DS","snapshot_observed_at":"2026-08-12T19:39:31.504737Z","submitted_at":"2025-07-15T13:18:04Z","title":"Permutation patterns in streams"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":2,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":4,"verified_exact":7,"verified_fuzzy":0},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2507.11291."}