{"as_of":"2026-08-12T13:30:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7ef1c2ee3cb3152d72cf40d2d450f4e79d89359a56c11c4d5f93c873f5492f26","coverage":[{"denominator":18,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":18,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-08T19:17:39.509553Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2608.04354/citation-record","integrity":"/paper/2608.04354/integrity","json":"/paper/2608.04354/citation-record.json","paper":"/paper/2608.04354"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2302.10778","last_updated":"2025-07-30T04:34:14Z","snapshot_observed_at":"2026-08-10T00:59:36.825930Z","submitted_at":"2023-02-20T04:11:05Z","title":"The Stochastic-Quantum Correspondence","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.10778","snapshot_observed_at":"2026-08-08T19:17:39.415438Z","title":"The Stochastic-Quantum Correspondence","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.415438Z"},"links":{"cited_paper":"/paper/2302.10778","citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:e943b3d08d18ac1b81f05864e697709935fd4d1df2b43214ab49345957eb826b","observation_id":"c19121ad-8f0a-4228-8602-a45da0996dc8","resolution":{"observed_at":"2026-08-08T19:17:39.415438Z","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":"2026-08-08T19:17:39.421845Z","title":"The Stochastic-Quantum Theorem","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.421845Z"},"links":{"citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:fd01bb9f09455cfa0bdb6a1621792fc5629730e6697cb2f04e2ff586a8a2a14f","observation_id":"cb7ad307-617a-4d44-b856-2cd05ed65206","resolution":{"observed_at":"2026-08-08T19:17:39.421845Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"quant-ph/0403088","last_updated":"2004-03-11T13:29:49Z","snapshot_observed_at":"2026-08-03T15:58:14.225978Z","submitted_at":"2004-03-11T13:29:49Z","title":"The Importance of Being Unistochastic","version":1},"cited_work":{"arxiv_id":"quant-ph/0403088","doi":null,"metadata_source":"pith","pith_arxiv_id":"quant-ph/0403088","snapshot_observed_at":"2026-08-08T19:17:40.081951Z","title":"The Importance of Being Unistochastic","venue":"quant-ph","work_id":"0bc6ffb7-fee3-4ea8-95e8-40961ee66a55","year":2004},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.427070Z"},"links":{"cited_paper":"/paper/quant-ph/0403088","citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:4daf30aa605380858ef4b5ae874e5e7eec054ecb16406aa50560d5d7164c9849","observation_id":"35f67d7c-7413-4943-9dff-4067179ede71","resolution":{"observed_at":"2026-08-08T19:17:40.087241Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-08T19:17:40.209496Z","title":"Tres Observaciones sobre el Álgebra Lineal","venue":null,"work_id":"ed5af211-a26f-4e7a-bb41-58f710271ab1","year":1946},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.433211Z"},"links":{"citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:6ccc673bbc8fac44503fcce3df0e37cdccae746796d5890e063e0bbd03249447","observation_id":"5c0ed646-456b-44b2-bbe0-6dd031186a62","resolution":{"observed_at":"2026-08-08T19:17:40.214289Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-08T19:17:39.438769Z","title":"Zur Quantenmechanik der Stoßvorgänge (‘On the Quantum Mechanics of Colli- sionProcesses’)","venue":null,"work_id":null,"year":1926},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.438769Z"},"links":{"citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:59ef74f67b3b18033a10f15dfd851ab29ffabb2ad0484b1513172f31461b9520","observation_id":"1d7f6307-86b1-4b4a-84ef-0b9ad6121b2e","resolution":{"observed_at":"2026-08-08T19:17:39.438769Z","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":"2026-08-08T19:17:40.190217Z","title":"Investigating Stochastic Processes Corresponding to Quantum Dy- namics on Finite Configuration Spaces","venue":null,"work_id":"96aad46f-920f-4df1-b720-223b9412190b","year":2026},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.444223Z"},"links":{"citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:1952beca3f470f63427492b8bdf52edd3ebfa6a8d382fc124557b383dd6e63df","observation_id":"353d2b44-68e6-4ac0-b819-5fe7cb7a8b44","resolution":{"observed_at":"2026-08-08T19:17:40.197809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-08T19:17:39.450313Z","title":"Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix","venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.450313Z"},"links":{"citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:bfb805c0321c4682a006a623376bcd88a5942ea0ea2069c171aa32eb6479a993","observation_id":"64f9f68e-8ceb-4b7e-8498-073d3a83b470","resolution":{"observed_at":"2026-08-08T19:17:39.450313Z","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":"2026-08-08T19:17:39.455233Z","title":"General State Changes in Quantum Theory","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.455233Z"},"links":{"citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:e6d799d16a3f8f61788ad80a33270bfed2eb6111850d0f929d686a0c7931f230","observation_id":"97909891-69b1-4fb5-a8bc-6c34d103cd36","resolution":{"observed_at":"2026-08-08T19:17:39.455233Z","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":"2026-08-08T19:17:40.169423Z","title":"On a Representation of Additive Operator Set Functions","venue":null,"work_id":"27fe87bd-417a-4dce-9acb-7313906d9684","year":1943},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.461295Z"},"links":{"citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:8029747bba2cd87b7afcaad978b644f1611c5c210233cf60d52cfcb9d59a8753","observation_id":"466e58f1-3577-4fef-b5be-fb7da2517aa5","resolution":{"observed_at":"2026-08-08T19:17:40.176201Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1080/03081089308818276","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"On the Eigenvalues of Principal Submatrices of Normal, Hermitian and Symmetric Matrices","venue":"Linear and Multilinear Algebra","work_id":"ab5f09c1-15cf-413f-8033-bfd5211e9728","year":1993},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.466288Z"},"links":{"citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:f011fe9f79bdcd1fdd8b2ef454668f244a17d1abe9eff47c972cc521c653ed5c","observation_id":"7fc2b792-8de4-469a-a16c-459be2ca340e","resolution":{"observed_at":"2026-08-08T19:17:39.653598Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-08T19:17:40.145724Z","title":"Dilation of Stochastic Matrices by Coarse Graining","venue":null,"work_id":"324dfadb-d0dc-486e-aac4-e8a0e74a23a4","year":null},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.472197Z"},"links":{"citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:7027485a858f2b8f5c00d9fd8dcee9c5a986dcc4899f2b50998f72fcb95d7012","observation_id":"e0f43829-6b15-4763-89a2-4803709303d1","resolution":{"observed_at":"2026-08-08T19:17:40.152342Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-08T19:17:39.482857Z","title":"Positive Functions on C*-algebras","venue":null,"work_id":null,"year":1955},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.482857Z"},"links":{"citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:e0c8b0778590fc57e25db0b91d7106f7756a1ca3ca1d0f9b66f0caa4a94fc992","observation_id":"e63f0000-2041-471f-81f9-62aa75e1dcaf","resolution":{"observed_at":"2026-08-08T19:17:39.482857Z","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":"2026-08-08T19:17:39.488420Z","title":"Linear Transformations in Hilbert Space","venue":null,"work_id":null,"year":1930},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.488420Z"},"links":{"citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:ab41c8c1daf7089ef0f51bc4872e1785b39ec5ba85da26d7581008314ee0a4f8","observation_id":"a08b069b-0e69-4e10-aabf-b480f67cb9c2","resolution":{"observed_at":"2026-08-08T19:17:39.488420Z","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":"10.5169/seals-112324","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"ThéorèmeHetunitaritédeS","venue":"E-Periodica","work_id":"fb1bb270-53cf-4902-b005-6887ac28e9f3","year":1952},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.494062Z"},"links":{"citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:8b7a7059f9faee2c4118c105c42843edbf87ff0cff110c1d8865e047d55f05fc","observation_id":"c961a6ba-cbc6-420c-ab6e-697073a7c8c0","resolution":{"observed_at":"2026-08-08T19:17:39.575230Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-08T19:17:40.124657Z","title":"Lecture Notes from a Johns Hopkins University Lecture Series","venue":null,"work_id":"ac3087e0-bdb0-4eb4-be71-2ee47aabb62b","year":1989},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.499192Z"},"links":{"citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:b76c4b553aa2a8fee4aa5033a4d2c02af1caa75996784c9ce79696df7c345022","observation_id":"ddbea1e1-ba55-4fd1-8617-f38341f70bb7","resolution":{"observed_at":"2026-08-08T19:17:40.130414Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1143/ptps.e65.135","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Conditional Probability in Physics","venue":"Progress of Theoretical Physics Supplement","work_id":"bdc7b992-2a38-4483-819c-ce707bd29b5c","year":1965},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.504814Z"},"links":{"citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:779290e7d52a672855c4604dfa0d2f935de3bdd67e6c6aca23859c491029e4ae","observation_id":"a4de0152-981b-4bf0-976c-429afca20164","resolution":{"observed_at":"2026-08-08T19:17:39.556584Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"nlin/0112036","last_updated":"2002-08-28T10:52:45Z","snapshot_observed_at":"2026-07-07T06:19:20.327925Z","submitted_at":"2001-12-20T13:44:52Z","title":"Random unistochastic matrices","version":3},"cited_work":{"arxiv_id":"nlin/0112036","doi":null,"metadata_source":"pith","pith_arxiv_id":"nlin/0112036","snapshot_observed_at":"2026-08-08T19:17:39.931796Z","title":"Random unistochastic matrices","venue":"nlin.CD","work_id":"a1a155f6-97fd-4c0b-a112-e208193582cb","year":2001},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.509553Z"},"links":{"cited_paper":"/paper/nlin/0112036","citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:2893b7e379c5c706a8ab8d2c678576bcb93500317fd3456629b2c049d3834189","observation_id":"4fd4e2d1-9752-465e-bc06-e2bc62ae4464","resolution":{"observed_at":"2026-08-08T19:17:39.938153Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2106.03513","last_updated":"2021-06-07T11:05:48Z","snapshot_observed_at":"2026-07-06T11:16:40.406758Z","submitted_at":"2021-06-07T11:05:48Z","title":"Dilation of stochastic matrices by coarse graining","version":1},"cited_work":{"arxiv_id":"2106.03513","doi":"10.48550/arxiv.2106.03513","metadata_source":"pith","pith_arxiv_id":"2106.03513","snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Dilation of stochastic matrices by coarse graining","venue":"math-ph","work_id":"d2185bed-7837-4010-92b9-979bb2d57cae","year":2021},"citing_paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-08T19:17:39.477122Z"},"links":{"cited_paper":"/paper/2106.03513","citing_paper":"/paper/2608.04354"},"observation_digest":"sha256:4c70d4a396eea0f4d651b96fe0c5aadd774a7e266d1ca2ebc369799a7fb17414","observation_id":"218bdfd5-c987-4830-bba7-6c0f3f79dfdd","resolution":{"observed_at":"2026-08-08T19:17:39.632877Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.04354","last_updated":"2026-08-05T01:55:06Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-08T23:11:30.680176Z","submitted_at":"2026-08-05T01:55:06Z","title":"The Born Representation Theorem and the Unistochastic Theorem"},"reference_resolution":{"displayed":18,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":6,"verified_fuzzy":5},"total_outbound_references":18},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2608.04354."}