{"as_of":"2026-08-17T07:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:578b7de060bce9de9318ceb3a315ed975b76f86afd09400fe05fbbe6fa6babe4","coverage":[{"denominator":30,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T00:06:24.932486Z","state":"measured"},{"denominator":31,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":31,"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":"2026-08-15T14:41:44.095661Z","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":"2026-08-15T14:41:44.143754Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"cited_work":{"arxiv_id":"2607.15210","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.15210","snapshot_observed_at":"2026-08-15T14:41:44.143754Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","venue":"quant-ph","work_id":"7351ee67-bba5-459a-9a9a-bad4da0c0207","year":2026},"citing_paper":{"arxiv_id":"2608.13204","last_updated":"2026-08-13T13:07:36Z","snapshot_observed_at":"2026-08-16T23:12:33.093709Z","submitted_at":"2026-08-13T13:07:36Z","title":"Counter-examples for Tensorization Property of Strong Data Processing Inequality for Quantum Divergences","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-15T14:41:44.095661Z"},"links":{"cited_paper":"/paper/2607.15210","citing_paper":"/paper/2608.13204"},"observation_digest":"sha256:b77c568230a64b6313fde216238c1afe822d9d1450aee5f6b70a9ce109f58321","observation_id":"fed837ee-c516-4b85-8d00-c952d63dcb6d","resolution":{"observed_at":"2026-08-15T14:41:44.149235Z","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/2607.15210/citation-record","integrity":"/paper/2607.15210/integrity","json":"/paper/2607.15210/citation-record.json","paper":"/paper/2607.15210"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"math-ph/0003002","last_updated":"2000-05-13T13:39:15Z","snapshot_observed_at":"2026-08-09T04:06:42.310467Z","submitted_at":"2000-03-04T06:43:26Z","title":"On some additivity problems in quantum information theory","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math-ph/0003002","snapshot_observed_at":"2026-08-02T00:06:21.981797Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:21.981797Z"},"links":{"cited_paper":"/paper/math-ph/0003002","citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:4d254025ecb64e132fbbc1d74a26d676b3bb3e9f6c155bc5637052839cb037e8","observation_id":"b084297e-f5ae-443f-b42b-91cebbf9d68a","resolution":{"observed_at":"2026-08-02T00:06:21.981797Z","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":"10.1063/1.4936925","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Arizmendi, I","venue":"Journal of Mathematical Physics","work_id":"55f84ded-f7d0-4d50-95e7-9094ea3d4a2f","year":2016},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:22.027549Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:2b1012dc4ad1faa8acc731c2eac4927c582366a0621c4243eaf443a1ac176b45","observation_id":"9e037182-d296-4405-b225-5f85aa6f071d","resolution":{"observed_at":"2026-08-02T00:09:25.596529Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T00:06:22.084104Z","title":"Aubrun and S","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:22.084104Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:6a5fb4f88f6b5208d309f1a7022820b28307660ddd3503502d9449ea70d36b22","observation_id":"1613859f-1ad9-452e-bba3-3629567fb92a","resolution":{"observed_at":"2026-08-02T00:06:22.084104Z","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":"10.1063/1.3271044","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Aubrun, S","venue":"Journal of Mathematical Physics","work_id":"251e859e-65a0-491e-a183-6705a5ecc338","year":2010},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:22.144537Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:04f50b6e3284961b7f15eaee7f0f3ff6dab8142e85283e5b8f65dbfd2924bcb5","observation_id":"6c31d9df-7ba7-4d8d-ae5d-4a2511ef90d5","resolution":{"observed_at":"2026-08-02T00:09:25.319879Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00220-010-1172-y","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Aubrun, S","venue":"Communications in Mathematical Physics","work_id":"00607d72-0d1b-4456-82ec-96f1796f82b3","year":2011},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:22.190205Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:d93e65c179365901bf21efa125cc14322b4a21066532392d05238abe3b8ed73a","observation_id":"d69e6bba-1cab-4744-a6fb-929bc86553b0","resolution":{"observed_at":"2026-08-02T00:09:25.038160Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00222-012-0386-3","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Inventiones mathematicae","work_id":"e872282b-ec85-40ac-8a52-71779272be19","year":2012},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:22.245704Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:d0fefa903596426452c0a607e9b2e63cb9bac66674706f9d9cf5379bc413c21e","observation_id":"2ea50aaf-b1a7-4367-a351-c107c9057787","resolution":{"observed_at":"2026-08-02T00:09:24.718090Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00220-015-2561-z","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Communications in Mathematical Physics","work_id":"3a428b58-26d8-4674-aa48-065ce3cbc99a","year":2016},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:22.304800Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:6379090ce4dcb4e6358375abbfd57e3cdc655ab42a6f37842037a54c59f173b9","observation_id":"0c78f834-2ad0-4381-8b8c-fc9d64437c13","resolution":{"observed_at":"2026-08-02T00:09:24.517815Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1142/s1230161210000047","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Open Systems & Information Dynamics","work_id":"e91df856-05f9-46fa-bd9d-07db21040243","year":2010},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:22.382832Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:a8d7911f91ea8f78bd84464524123fdfc1e4c187d424dae36a7c429fd25043c1","observation_id":"ccdc112c-8184-420d-bb92-34effc9496b3","resolution":{"observed_at":"2026-08-02T00:09:24.311644Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.7900/jot.2013dec04.2008","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Collins, M","venue":"Journal of Operator Theory","work_id":"68c6904d-1c49-4dcc-89d1-35b410a093e7","year":2008},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:22.459345Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:17c469c8f29036932df8e6752819637e5fb784139552518230bd18bba3990227","observation_id":"af951eab-fbc7-4b3f-99fd-ec158f5b3c3f","resolution":{"observed_at":"2026-08-02T00:09:24.015253Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00220-008-0625-z","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Cubitt, A","venue":"Communications in Mathematical Physics","work_id":"f833aab9-b568-45e2-b005-9dc6ef74b271","year":2008},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:22.480193Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:c87d0a6bad76202380599a062380cfa1c658998d2a4c8b08961ffda05128c062","observation_id":"e7473e65-cd72-4d49-a5a2-259ee932a66b","resolution":{"observed_at":"2026-08-02T00:09:23.693586Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.24033/asens.2211","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Collins and C","venue":"Annales Scientifiques de l École Normale Supérieure","work_id":"3f651b5c-098c-43aa-8db0-cc77c70b5973","year":2014},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:22.583211Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:5af6978b18794afecd89690082e349f4fbac227894e6873ebb803b622fc8c54b","observation_id":"cdacff24-7ffd-4eb8-a889-583d4f159b41","resolution":{"observed_at":"2026-08-02T00:09:23.368170Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T00:06:22.765083Z","title":"Collins and I","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:22.765083Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:b78b43166645bc3c5d786593aae791977e08b2bfba10d315f933f87f8d6d5498","observation_id":"7b200899-9e1f-4327-bd1d-34a078947f94","resolution":{"observed_at":"2026-08-02T00:06:22.765083Z","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":"10.1016/j.aim.2010.08.002","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Collins and I","venue":"Advances in Mathematics","work_id":"9c865b98-7e10-48b8-86f6-dc1438ab42fd","year":2010},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:22.876974Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:85dbfcb92dab8a342fe9433322e9998e4d4788c09b8b1b16c63cc64b2c04f069","observation_id":"e10ab50c-edb0-4373-85fc-b27c72ddaea8","resolution":{"observed_at":"2026-08-02T00:09:23.090502Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T00:06:23.040886Z","title":"Collins and I","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:23.040886Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:90ccbc158543caa0a098b115f24065c202cbe1e34b28a02a270ba56d9b219d64","observation_id":"e66e8f0b-9c40-4381-ae22-e3332821c373","resolution":{"observed_at":"2026-08-02T00:06:23.040886Z","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":"2026-08-02T00:06:23.154906Z","title":"Derksen and B","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:23.154906Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:2e4d815db159e21028d08d479c0e780d3ca63532e14fb68a039c133bc9e7c34b","observation_id":"8a8e685c-0f75-4197-a3ac-6e007c00cbab","resolution":{"observed_at":"2026-08-02T00:06:23.154906Z","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":"10.1007/s00220-010-0996-9","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Fukuda, C","venue":"Communications in Mathematical Physics","work_id":"65c908bb-f099-466b-a6e2-c2702ddb878e","year":2010},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:23.311659Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:0da65c603349da98e61c710e1b7356ea4b12c5a9c3a534b3f501432307323aea","observation_id":"d036cc65-ff68-4622-89b1-4c460caea1c0","resolution":{"observed_at":"2026-08-02T00:09:22.847864Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/1751-8113/43/42/425304","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Grudka, M","venue":"Journal of Physics A Mathematical and Theoretical","work_id":"232bbac5-4b54-4701-9767-2596d4682535","year":2010},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:23.426800Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:4e72bf6db11ce5221e3ff86fbfdf1ae6411dbd247ba2153a32c1604f243e1d92","observation_id":"78e8890b-29d7-4bfc-9de2-64b535b0a8c8","resolution":{"observed_at":"2026-08-02T00:09:22.634653Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T00:06:23.583747Z","title":null,"venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:23.583747Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:d57a71e1113d8fdd07170e072e56743ef072b1870048950032b83c96d44e2e15","observation_id":"9afa74dc-0e77-40f2-8ebb-69fa05b462ac","resolution":{"observed_at":"2026-08-02T00:06:23.583747Z","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":"2026-08-02T00:06:23.692641Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:23.692641Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:9061ddc368c9baf4cc6b352c4aa52aa5728e71669b57d99b69542abc7087fc04","observation_id":"425c4194-a471-416f-99ca-0fa90130aac6","resolution":{"observed_at":"2026-08-02T00:06:23.692641Z","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":"10.1007/s00220-008-0624-0","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Hayden and A","venue":"Communications in Mathematical Physics","work_id":"d75f9ca1-4b3d-4fcb-bffb-740c82e492c5","year":2008},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:23.852439Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:7f9ead43b5898be6fd8fb365c9dbd831f704be486d12f8e553ed281ad7883dca","observation_id":"7dd3dda6-8ec9-49b5-b67a-edbf57b53618","resolution":{"observed_at":"2026-08-02T00:09:22.368561Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T00:06:24.020802Z","title":"Kukulski, I","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:24.020802Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:91d070df7cfcbc6e6041d79a1e38222b637f99343b0499ad2fa2a9993d2633b8","observation_id":"012b1f4c-a2de-4b9f-9c88-0309181d4b12","resolution":{"observed_at":"2026-08-02T00:06:24.020802Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math-ph/0609050","last_updated":"2007-02-27T14:22:05Z","snapshot_observed_at":"2026-08-15T11:03:08.882780Z","submitted_at":"2006-09-18T11:18:42Z","title":"How to generate random matrices from the classical compact groups","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math-ph/0609050","snapshot_observed_at":"2026-08-02T00:06:24.118868Z","title":"Mezzadri","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:24.118868Z"},"links":{"cited_paper":"/paper/math-ph/0609050","citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:dad6961a63c4e968576da94f0f7a149c47069cc2b40d4a0101fad4b1cc952b73","observation_id":"cc42fd7b-d85e-4501-97ca-782b68d11b8c","resolution":{"observed_at":"2026-08-02T00:06:24.118868Z","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":"2026-08-02T00:06:24.146508Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:24.146508Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:87bfe55d5c2555e403c0c4ea45838ab4662c13151d413d8ef9ed589fd09d1e18","observation_id":"0fd7c114-ee48-45f9-95db-545b9ec61334","resolution":{"observed_at":"2026-08-02T00:06:24.146508Z","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":"10.1155/2018/7105074","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Advances in Mathematical Physics","work_id":"4dc8c96b-4760-4092-9bed-df5dba1d2ef8","year":2018},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:24.261309Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:3ddc6182384a45f611104a4e69c7cfaf8acf233eace3c884a01898afdd5c6b9d","observation_id":"b1eec9b2-25ff-4274-8ebf-c68dc9d1e432","resolution":{"observed_at":"2026-08-02T00:09:22.071691Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s00220-003-0981-7","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Communications in Mathematical Physics","work_id":"afaf8116-cdcc-42f7-9c12-9a836f041da7","year":2004},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:24.367898Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:e6f6ad0660a34482d7bdf2ede0e17757fcf1cf157766718cad1c913a2044b3d7","observation_id":"46f7496d-a3ad-417a-8347-da9f67afb267","resolution":{"observed_at":"2026-08-02T00:09:21.872134Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T00:06:24.472788Z","title":"Szczygielski and M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:24.472788Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:0edd2379b6b04fd0f1c3e9ae347f57faccfb4f1fe928a0eab9ce81d06dd827e8","observation_id":"fa5be868-bbe4-4276-827b-f9edc36a3de0","resolution":{"observed_at":"2026-08-02T00:06:24.472788Z","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":"10.1103/physreva.56.131","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Schumacher and M","venue":"Physical Review A","work_id":"318d2022-a8cd-492f-bc87-725dd02797bb","year":1997},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:24.554313Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:abfbad8a2b70762d2a7b353d88bf55770070b00d379887779bbc6dde78807f7c","observation_id":"d6153ea7-89e8-476c-b348-bab582d0842a","resolution":{"observed_at":"2026-08-02T00:09:21.559695Z","resolver_source":"doi","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T00:06:24.701057Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:24.701057Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:ea5c6ecec0585019886ef4865a4da457d3416cc8d23d46dc2a82c0a02cb86d1b","observation_id":"7d791a43-66d3-4938-a732-c76a11d6bf4b","resolution":{"observed_at":"2026-08-02T00:06:24.701057Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1006.1733","last_updated":"2012-12-24T15:37:23Z","snapshot_observed_at":"2026-07-06T02:11:25.150217Z","submitted_at":"2010-06-09T08:02:36Z","title":"Non-Additivity of Minimum Output p-$\\mathbf{R\\acute{e}nyi}$ Entropy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1006.1733","snapshot_observed_at":"2026-08-02T00:06:24.819743Z","title":"Yu and M","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:24.819743Z"},"links":{"cited_paper":"/paper/1006.1733","citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:cd2f5573f072a8bf2631ee9e476851676df1d506af70770045bc61c3c686f61f","observation_id":"191fa415-4d4a-4aba-af2b-8da9eba9c589","resolution":{"observed_at":"2026-08-02T00:06:24.819743Z","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":"2026-08-02T00:06:24.932486Z","title":"\\.Z yczkowski and H.-J","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-02T00:06:24.932486Z"},"links":{"citing_paper":"/paper/2607.15210"},"observation_digest":"sha256:c716890694a89c6373d1df313e1613aef6ff345654d7ee97dea95a2d6dcd4cb8","observation_id":"7561964f-5557-4c8a-8557-077829722704","resolution":{"observed_at":"2026-08-02T00:06:24.932486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.15210","last_updated":"2026-07-16T17:08:47Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-13T09:55:54.273933Z","submitted_at":"2026-07-16T17:08:47Z","title":"Counterexamples to additivity of minimum output $p$-R\\'enyi entropy of quantum channels for $p>3/4$ and $0\\leq p<1/4$"},"reference_resolution":{"displayed":30,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":16,"verified_fuzzy":0},"total_outbound_references":30},"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 17 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2607.15210."}