{"as_of":"2026-08-07T17:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:aaec5440d598e6de718afe599f7779f23309d18bdf27df46bffef21be19e68de","coverage":[{"denominator":76,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":76,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T17:05:29.988609Z","state":"measured"},{"denominator":76,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":76,"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/2507.12310/citation-record","integrity":"/paper/2507.12310/integrity","json":"/paper/2507.12310/citation-record.json","paper":"/paper/2507.12310"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:24.170623Z","title":"Inevitable negativity: Additivity commands negative quantum channel en- tropy","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:24.170623Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:dae3d474d28bd0fb76365e9bc5eca4931267c9344f959415143df1621f7feed3","observation_id":"26491123-4d99-459e-8d08-7eb61dc78a8e","resolution":{"observed_at":"2026-08-06T17:05:24.170623Z","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":"2026-08-06T17:05:24.248287Z","title":"A mathematical theory of communication","venue":null,"work_id":null,"year":1948},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:24.248287Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:f518d0b9ec429f2a232058d3b0cd0a374405e4c456b7e85343688278757f23b7","observation_id":"76c373f2-c36a-4dc4-89e8-747b93bf503c","resolution":{"observed_at":"2026-08-06T17:05:24.248287Z","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":"1974.10551","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:37.022880Z","title":"Recent results in the Shannon theory","venue":null,"work_id":"2d763043-0b3b-40f4-a355-36a2659f51bd","year":1974},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:24.351421Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:b0320f4512ba5e3a3af36c956b678e5eed23b2fb01d55cc6bf935acd1883a419","observation_id":"a3396ae3-36c5-45e3-9570-4f4f4e8218e5","resolution":{"observed_at":"2026-08-06T17:05:37.083845Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:24.436006Z","title":"A Resource Framework for Quantum Shannon Theory","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:24.436006Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:b45b78507d9571c06ac14d1dc1da3fe541dba6a9fdf0a4afdade0b8e969739e9","observation_id":"226d3cda-0221-4a89-8e8e-e60140f5d484","resolution":{"observed_at":"2026-08-06T17:05:24.436006Z","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":"10.1103/physreva.91.052120","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:34.880531Z","title":"Conditions for coherence transformations under incoherent operations","venue":null,"work_id":"150bc532-2664-45c1-a4c7-b34521bdd155","year":2015},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:24.535860Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:bdb97f1e3ee34ff9a0719c1593478d5e3b15f6b6b391d86121bf3c9da6c48943","observation_id":"d6fd9858-5d29-4c6b-a1c4-07f44ddddad0","resolution":{"observed_at":"2026-08-06T17:05:35.049309Z","resolver_source":"doi","status":"verified_exact"},"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":"2026-08-06T17:05:40.568649Z","title":"Operational Resource Theory of Coherence","venue":null,"work_id":"ec570004-78a7-4d8a-a6c2-e8383da4b6ef","year":2015},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:24.610207Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:c1335e6403286efa3acd7c57682fe2b332d2e6d422f943bc04af9bbeb46e7cba","observation_id":"498ad726-6eff-4d32-a6b8-2444327a69a1","resolution":{"observed_at":"2026-08-06T17:05:40.634098Z","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":"10.1103/physreva.94.052336","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:34.742597Z","title":"Comparison of incoherent operations and measures of coherence","venue":null,"work_id":"72ed8110-e88e-4c42-811a-85b91c94b33d","year":2016},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:24.685423Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:48153533fb965182da2c3146f684bad68546abfb07b1e701c420c8e483cb63e4","observation_id":"2eb5cf89-2a2b-47da-ab50-9d5cccb3f602","resolution":{"observed_at":"2026-08-06T17:05:34.816012Z","resolver_source":"doi","status":"verified_exact"},"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":"10.1103/physreva.96.032316","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:34.410675Z","title":"Operational one-to-one mapping between coherence and entanglement mea- sures","venue":null,"work_id":"f0104764-9bca-4107-9ab4-43eb049dfc79","year":2017},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:24.744244Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:e9e735bbb80ff286cd7598c026c73d39982cb1d76f488fe584f209591ee21f77","observation_id":"e3c2f2db-348e-45a1-b807-31ca0eb06f60","resolution":{"observed_at":"2026-08-06T17:05:34.579051Z","resolver_source":"doi","status":"verified_exact"},"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":"10.1088/1367-2630/aac484","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:34.185876Z","title":"Maximal coherence and the resource theory of purity","venue":null,"work_id":"8ac2b680-6c21-475e-9be4-497571e85799","year":2018},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:24.815352Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:7cd4b95fbce751ffc01bb174f412eabe814e0b2434935cd7406a19ec12790000","observation_id":"29536d96-6c89-4533-8a4b-359b2c34db9f","resolution":{"observed_at":"2026-08-06T17:05:34.264965Z","resolver_source":"doi","status":"verified_exact"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:24.881921Z","title":"The second laws of quantum thermodynamics","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:24.881921Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:dea8aaf6f6028e2b0630ac4dade409170062940885d32b96fe1c167a6c929f3c","observation_id":"eccf2180-83fb-4852-97c7-5c252581d5aa","resolution":{"observed_at":"2026-08-06T17:05:24.881921Z","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":"2026-08-06T17:05:24.993088Z","title":"The resource theory of informational nonequilibrium in thermodynamics","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:24.993088Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:23b9db06b1b912ba9b38778b1a8e1c7d8736711cfb0c6c22d3f042afdb5638cd","observation_id":"e5253601-de49-4164-8b55-db13af559bc3","resolution":{"observed_at":"2026-08-06T17:05:24.993088Z","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":"2026-08-06T17:05:40.308256Z","title":"Thermodynamik quantenmechanischer Gesamtheiten","venue":null,"work_id":"fc003ae1-81b6-4e15-873b-0ca0ba69f89e","year":1927},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.040850Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:950714629fafbe2a3502b1dd823eb14ccec7a20b99618efddb7f1fa274139e11","observation_id":"870b108b-3126-49c8-9ed1-8a1d86ff4b5a","resolution":{"observed_at":"2026-08-06T17:05:40.352473Z","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":"10.1007/978-94-017-2012-0_7","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:33.948524Z","title":"Entropy, von Neumann and the von Neumann Entropy","venue":null,"work_id":"6bdf8392-aebf-4348-87cb-4807db81d040","year":2001},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.089069Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:1a451f8fb9ad17f4084d95b9d58c5e17ebb5e67020286d92a9ad567bc6f25aa0","observation_id":"56e9c0d0-a560-4bec-9074-93a95aedc168","resolution":{"observed_at":"2026-08-06T17:05:34.062768Z","resolver_source":"doi","status":"verified_exact"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:25.154603Z","title":"Concentrating partial entanglement by local operations","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.154603Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:b1642cf3409291959b2da9cfcb9fce20967a43bafee004aaddd4d5de9d83accb","observation_id":"4a8a0b1c-3091-4906-96a9-3ba3a5f286c0","resolution":{"observed_at":"2026-08-06T17:05:25.154603Z","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":"2026-08-06T17:05:25.211622Z","title":"Conditions for a Class of Entanglement Transformations","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.211622Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:04b51c9cd247fe16cb5fb74400bd5ae7b68c30100d9e592f2680a950f5b2edf8","observation_id":"2e163152-71eb-4de0-a8d4-13e5d129295f","resolution":{"observed_at":"2026-08-06T17:05:25.211622Z","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":"2026-08-06T17:05:40.135632Z","title":"Entanglement monotones","venue":null,"work_id":"d46f2dff-49bb-4cb9-87c7-279e866b77f2","year":2000},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.261079Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:a6eccb69eedbe18eddf17e85eabd754b3c047389e5620b0dec26d45b42271d26","observation_id":"0e48fa3e-4207-40de-bec3-1fe50c015441","resolution":{"observed_at":"2026-08-06T17:05:40.228461Z","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":"2026-08-06T17:05:39.951226Z","title":"Majorization and the interconversion of bipartite states","venue":null,"work_id":"ee375db8-d8bb-4ff8-a6b5-dc29cb4b3380","year":2001},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.310994Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:55504c209d147f0a3a9e3165811faf0f2d46a07a2f8303502e5010a2c4116e2d","observation_id":"a64abb79-1cc0-44bf-b126-69b04293508b","resolution":{"observed_at":"2026-08-06T17:05:40.056236Z","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":{"arxiv_id":"quant-ph/0612146","last_updated":"2006-12-17T15:06:44Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2006-12-17T15:06:44Z","title":"Quantifying Superposition","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"quant-ph/0612146","snapshot_observed_at":"2026-08-06T17:05:25.373455Z","title":"Quantifying Superposition","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.373455Z"},"links":{"cited_paper":"/paper/quant-ph/0612146","citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:acfddea030230519941d47b5640eb34cc51977e02b3b63c9939472de06d8ea06","observation_id":"257b6ff9-3dab-4673-873d-6c54b8f9dcb8","resolution":{"observed_at":"2026-08-06T17:05:25.373455Z","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":"2026-08-06T17:05:39.810686Z","title":"H., Littlewood, J","venue":null,"work_id":"81873528-4133-4473-8485-eb0674862817","year":1934},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.427772Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:cd0e8022921d51f5a130383c176322a7c044788a11e3d457db46798dfe1ed979","observation_id":"5af26a7b-9dd3-4ae9-95e1-fd77dae3c4df","resolution":{"observed_at":"2026-08-06T17:05:39.854287Z","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":"2026-08-06T17:05:39.681722Z","title":"Three observations on linear algebra","venue":null,"work_id":"07c4e9be-8e41-42d1-b695-54007ece5a15","year":1946},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.490512Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:2b424ddc12a2ff8c828f60a1a3a7dda411de725d8d1258311468e6c2545b68fe","observation_id":"2bf3227b-cbc6-4326-8525-551cb402e71b","resolution":{"observed_at":"2026-08-06T17:05:39.721666Z","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":"10.1103/physreva.97.042130","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:33.573317Z","title":"Conditional uncertainty principle","venue":null,"work_id":"8f8c2c24-6ce4-4f0f-bc20-0e32aaef1af6","year":2018},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.544624Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:65b22d8f6d66af5f2756e40bc2d77c62eeb16cf831cc291e50a2f178bc392d5a","observation_id":"31f10fa2-84ca-4672-b493-8e52a2fc50e7","resolution":{"observed_at":"2026-08-06T17:05:33.774912Z","resolver_source":"doi","status":"verified_exact"},"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":{"arxiv_id":"2110.15330","last_updated":"2021-10-28T17:44:54Z","snapshot_observed_at":"2026-07-06T12:03:10.121189Z","submitted_at":"2021-10-28T17:44:54Z","title":"Quantum conditional entropy from information-theoretic principles","version":1},"cited_work":{"arxiv_id":"2110.15330","doi":null,"metadata_source":"pith","pith_arxiv_id":"2110.15330","snapshot_observed_at":"2026-08-06T17:05:36.624926Z","title":"Quantum conditional entropy from information-theoretic principles","venue":"quant-ph","work_id":"fa5eec56-e237-4f33-82ed-c006ced1dc86","year":2021},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.590219Z"},"links":{"cited_paper":"/paper/2110.15330","citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:c9973dd3525b7d9fd02b2ae27c714f2fc35141e9a1195ef582179d307bfbbc2a","observation_id":"851354a5-8dd5-4990-bceb-dc23a381fe96","resolution":{"observed_at":"2026-08-06T17:05:36.755973Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"10.22331/q-2022-02-02-641","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:33.356407Z","title":"A-unital Operations and Quantum Conditional Entropy","venue":null,"work_id":"0fc44ee6-f912-4798-b9f7-a53b102c660e","year":2022},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.649697Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:b74f4d7cccc50be9e8b694d48ab8aeebb4b2cb6b66fcd47193e7a46ec737bb4d","observation_id":"8645f9f0-ccd6-4db4-b6bf-91e677a5499a","resolution":{"observed_at":"2026-08-06T17:05:33.429267Z","resolver_source":"doi","status":"verified_exact"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:25.730997Z","title":"Majorization formulation of uncertainty in quantum mechanics","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.730997Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:2397322450f3ec2fa97edaca19041d2f81847101b9a2a9dd07a735f090edad3c","observation_id":"0e95b247-806d-42bc-a121-492c3e90ca32","resolution":{"observed_at":"2026-08-06T17:05:25.730997Z","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":"10.1088/1751-8113/46/27/","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:33.189048Z","title":"Majorization entropic uncertainty relations*","venue":null,"work_id":"578d50cf-536b-483b-b746-45b10e7e4e67","year":2013},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.844190Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:407efbc137d0b0888cb542fa7059188ac4ea0f3ba7f5a13e3bddab68f333e512","observation_id":"a599baf2-d175-4f46-adea-9d4287bbd43b","resolution":{"observed_at":"2026-08-06T17:05:33.258309Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:25.928087Z","title":"Fundamental limitations for quantum and nanoscale ther- modynamics","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.928087Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:012943efffa49c506e7ce5c32ef5c5cb14e09a754c1feabaf9a45de44f4960b0","observation_id":"1fd8d694-b189-4770-bbb6-3cab9288b097","resolution":{"observed_at":"2026-08-06T17:05:25.928087Z","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":"10.1063/1.4972295","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:32.900508Z","title":"Relative submajorization and its use in quantum resource theories","venue":null,"work_id":"b45dbddb-b4a9-4d87-8bd9-9b9e206b8481","year":2016},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:25.997112Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:a3fb008cd09132058d7c3a0a646ca4d0a913efb9c5afb038c122ea9083f644e9","observation_id":"e7d4b128-2fac-4b9d-8b69-a896b7209fca","resolution":{"observed_at":"2026-08-06T17:05:33.063916Z","resolver_source":"doi","status":"verified_exact"},"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":"2004.83951","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:36.412255Z","title":"The private classical capacity and quantum capacity of a quantum channel","venue":null,"work_id":"dbb52f17-903e-4d06-bee0-0d294c1fe8a9","year":2005},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:26.060826Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:bd0a26eb10744c84945ec352b664d18a5fd6d1c9291ad99adc4543d0190f8a80","observation_id":"8b71b3de-80fd-49fb-8b86-65dc2cf45d67","resolution":{"observed_at":"2026-08-06T17:05:36.482403Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"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":"2010.20539","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:36.135932Z","title":"Entanglement-Assisted Communication of Classical and Quantum Information","venue":null,"work_id":"cf88e89e-870b-499f-8c52-4de98d6ebff0","year":2010},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:26.162289Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:69b27379a274b644b4e6a3ed0b0df5719f7bc319f746f45ed1920e1bdc984214","observation_id":"0010c197-95b2-4070-af1d-910ce0357259","resolution":{"observed_at":"2026-08-06T17:05:36.246652Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"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":"2011.21622","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:35.836918Z","title":"NoisyChannelCodingviaPrivacyAmplificationandInformation Reconciliation","venue":null,"work_id":"307572a5-c849-43aa-9f07-fad51c23b303","year":2011},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:26.224489Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:d610cd05eac9b1ddca7523b5ae82195f369265664e66f662e395fb0773954a70","observation_id":"da3eed38-9556-4724-a538-da2bf60e50e1","resolution":{"observed_at":"2026-08-06T17:05:35.908989Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"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":"2026-08-06T17:05:39.569317Z","title":"Strong converse exponents for a quantum channel discrimination problem and quantum-feedback-assisted communication","venue":null,"work_id":"1fee5918-2a5a-4667-a208-812b14160b57","year":2016},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:26.298408Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:053f421ac887c7ac3bc5c093f7cfb40d042dfdb3a45f9e70da6b4b1db60c503a","observation_id":"412df441-f350-4551-aa8b-615ed4cf65de","resolution":{"observed_at":"2026-08-06T17:05:39.623887Z","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":"10.1088/1367-2630/aabea8","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:32.600664Z","title":"A channel-based framework for steering, non-locality and beyond","venue":null,"work_id":"61096ba6-4a6d-48d1-bfe2-6c9515bb8f8b","year":2018},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:26.369452Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:87299594302ba45f3c66f42ca667a0893cfcd807b3735d142b6da31a71b79919","observation_id":"80196dda-4d44-4e3e-bc96-0481fca8beb8","resolution":{"observed_at":"2026-08-06T17:05:32.750323Z","resolver_source":"doi","status":"verified_exact"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:26.441480Z","title":"Dynamical Entanglement","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:26.441480Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:b56aba6af85ac57b56fb957319d0f19b248a38782e1a3c5f8e6d46b2922e8e1c","observation_id":"1ca653df-68e8-403e-b361-17bf8cda2c65","resolution":{"observed_at":"2026-08-06T17:05:26.441480Z","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":"2026-08-06T17:05:26.541939Z","title":"Entanglement of a bipartite channel","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:26.541939Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:e6fa35d018037107eb0aa34dffd3174554d2df3dcffb04c12ca45cf358e71e7d","observation_id":"641c272a-c602-4495-88f7-ca017811f2cc","resolution":{"observed_at":"2026-08-06T17:05:26.541939Z","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":"2026-08-06T17:05:26.599341Z","title":"Operational resource theory of quantum channels","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:26.599341Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:e8d00fb4bf3d8e45523ffb7eeb01ddc2f91391583f9d6e4cfe8a10e8e65e257a","observation_id":"1959808b-b3df-4e8c-b224-f0ecd7262953","resolution":{"observed_at":"2026-08-06T17:05:26.599341Z","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":"2026-08-06T17:05:39.450731Z","title":"Quantifying Dynamical Coherence with Dy- namical Entanglement","venue":null,"work_id":"8fb66203-fc98-404f-9858-d705404a7429","year":2020},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:26.704085Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:b8841ab3e7e29545eb20c5b9bf19d38ae5954bbb277b6410f69f2cb455f91b2f","observation_id":"88e10f1b-b72b-49d8-995d-0092b032f144","resolution":{"observed_at":"2026-08-06T17:05:39.512434Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"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":{"arxiv_id":"2101.01552","last_updated":"2020-12-31T19:08:09Z","snapshot_observed_at":"2026-07-06T10:30:08.275247Z","submitted_at":"2020-12-31T19:08:09Z","title":"Dynamical Resources","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.01552","snapshot_observed_at":"2026-08-06T17:05:26.784699Z","title":"and Scandolo, C","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:26.784699Z"},"links":{"cited_paper":"/paper/2101.01552","citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:83907eb3633a6aec1b020117c7e98c74d78bd9bc151675ee9b172429f9846c41","observation_id":"84212203-7ce7-488b-9572-56a8da7ba452","resolution":{"observed_at":"2026-08-06T17:05:26.784699Z","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":"10.1038/s41467-021-24699-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:32.420695Z","title":"Fundamental limitations on distillation of quantum channel re- sources","venue":null,"work_id":"b08b6e65-9e10-4876-8950-30877b8a97b8","year":2021},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:26.905694Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:01bea8c49bd357805e11f9a97ea4fa7ebda9a560ddac82ba6c11a5f2b1871f93","observation_id":"65c33fc2-57d8-4419-84be-4d2c75508122","resolution":{"observed_at":"2026-08-06T17:05:32.493050Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"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":"10.1103/physrevlett.127.060402","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:32.149748Z","title":"One-Shot Manipulation of Dynamical Quantum Resources","venue":null,"work_id":"530cb639-f251-4285-9f1e-b5bf595d18ad","year":2021},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:26.972287Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:19930516f398a2e69bbe72a43a6d29622d56c93a82ea0183bb487c1ce0082266","observation_id":"151b486c-3815-4dfe-9aaa-e3d43598c90a","resolution":{"observed_at":"2026-08-06T17:05:32.270347Z","resolver_source":"doi","status":"verified_exact"},"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":"10.1364/oe.453504","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:31.961201Z","title":"Experimental quantification of dynamical coherence via entangling two qubits","venue":null,"work_id":"c633b7c9-5611-436b-b4e7-f620ccb40bef","year":2022},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:27.050797Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:8a76f9121ae361aa2dc529c1dcd0318d1bf71640b31d475caa88cfc932330b01","observation_id":"a0ece344-6ab2-479f-a205-5de0a8e66310","resolution":{"observed_at":"2026-08-06T17:05:32.044222Z","resolver_source":"doi","status":"verified_exact"},"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":"2026-08-06T17:05:39.304018Z","title":"Teleporting an unknown quantum state via dual classical and Einstein- Podolsky-Rosen channels","venue":null,"work_id":"114dba87-a6ce-4e62-8f3d-933dc7b1c510","year":1993},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:27.147432Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:3cbcba34dab1ffcfad487eb5a3c9dbdcc1a490e54dbbd7d06101751518e14acd","observation_id":"0fe95f17-9595-4073-8842-6019c3073271","resolution":{"observed_at":"2026-08-06T17:05:39.371966Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:27.238160Z","title":"Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:27.238160Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:92e70291c787a1d0f4db72e7f6e1101a314838cbaddd02f99c6fbf66a7df2247","observation_id":"090b2647-096f-4ba2-9397-60b818965f4b","resolution":{"observed_at":"2026-08-06T17:05:27.238160Z","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":"2026-08-06T17:05:27.322156Z","title":"Hypothesis testing and entropies of quantum channels","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:27.322156Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:de4e402a49c587c9eab4e4c19f4b6aa706a6eb4f595114d1d406a685bd9cbd79","observation_id":"9e37cbf7-395a-451f-a76c-b1e2796b7fe4","resolution":{"observed_at":"2026-08-06T17:05:27.322156Z","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":"2026-08-06T17:05:27.394636Z","title":"Quantifying the resource content of quantum channels: An operational approach","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:27.394636Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:9e44dd2129480d61be67a8a216b8543d40bcec58773d0ac5ef9ffb99a9b0c229","observation_id":"1391fa84-8e98-4f7b-8e79-c7289651e75b","resolution":{"observed_at":"2026-08-06T17:05:27.394636Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:27.519124Z","title":"Entropy of a quantum channel","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:27.519124Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:69d023a260d5dc9739b7ca00873fcce2ef5e5947d9a85d072c42a9ec1e332329","observation_id":"b9d5a2a6-bd98-4149-8074-7dd5410cd57c","resolution":{"observed_at":"2026-08-06T17:05:27.519124Z","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":"2026-08-06T17:05:27.637143Z","title":"Positive functions onC ∗-algebras","venue":null,"work_id":null,"year":1955},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:27.637143Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:cfc060b696f16779665cb713f0d56ee98e4dd2855ec35d80dc6da651d5ac11ae","observation_id":"d5fbde1b-8586-48f8-ab1c-e8767140d2ec","resolution":{"observed_at":"2026-08-06T17:05:27.637143Z","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":"2026-08-06T17:05:39.130849Z","title":"Quantum resource theories","venue":null,"work_id":"61f918af-906e-446f-a904-65b9529b20d4","year":2025},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:27.710019Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:8e59bb256c9323264895d553aae7944b351374c999276e5b1ea3325060d39afb","observation_id":"cab7f04a-0d09-4924-81aa-dca5be08d719","resolution":{"observed_at":"2026-08-06T17:05:39.200842Z","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":"2026-08-06T17:05:38.973537Z","title":null,"venue":null,"work_id":"49ba8757-946f-46ec-ba67-0ce7cf793b19","year":1983},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:27.802061Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:72fd19c0036e636d22ebe326befd2b271c6a94d80abe5800d1d7e1caa8c978a7","observation_id":"a552574f-213e-4feb-8e71-35df37ebe0a7","resolution":{"observed_at":"2026-08-06T17:05:39.045944Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T17:05:38.826597Z","title":"Transforming quantum operations: Quan- tum supermaps","venue":null,"work_id":"7a59096d-cbfa-4aa4-83ed-2bddcefb546f","year":2008},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:27.932835Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:2f9ce0d3fe0b81256138ce8f44749f08167476df74828820d917ee66492ceb48","observation_id":"c88579af-8727-44dc-95ca-853ac5d1c117","resolution":{"observed_at":"2026-08-06T17:05:38.901787Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:28.024535Z","title":"Comparison of quantum channels by superchannels","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:28.024535Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:18a9a0a54ed7573d804ed5162a4689e6ad0c5ec4d2c7eaee54533735d06ced53","observation_id":"99b4d79c-e67d-4608-8921-d8a96fc09474","resolution":{"observed_at":"2026-08-06T17:05:28.024535Z","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/physrevlett.111.230401","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:31.634138Z","title":"Universal Uncertainty Relations","venue":null,"work_id":"0ef0b7fa-a5a9-4db3-9648-b659d2792fd8","year":2013},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:28.200576Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:eda1f753822bfcd2dbfe679ee45dc187accfc7f9afdae1054509fe3f8fd4ee7f","observation_id":"cff9938e-79bd-48e6-ac4e-7e8348d2d7dd","resolution":{"observed_at":"2026-08-06T17:05:31.759776Z","resolver_source":"doi","status":"verified_exact"},"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":"10.1103/physreve.105.024117","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:31.375978Z","title":"Whatisentropy?Aperspectivefromgamesofchance","venue":null,"work_id":"0b7c7dbd-8bcc-4d6e-ae62-1e9999186104","year":2022},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:28.280871Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:91f8e2986cd5ae9e7e9c882a7cf03cbf8dc52d010e389f6afb8a50b6bfbefee8","observation_id":"b01ddac8-e848-40fc-8d67-a2948ab19c52","resolution":{"observed_at":"2026-08-06T17:05:31.487526Z","resolver_source":"doi","status":"verified_exact"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:28.370826Z","title":"W., Olkin, I., and Arnold, B","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:28.370826Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:73f336184da7727cd5753c00811cbe10e6024953f7867c687a34b92ecdabd9cc","observation_id":"d284851c-6bbe-40f5-b689-0ed65599e604","resolution":{"observed_at":"2026-08-06T17:05:28.370826Z","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":"2026-08-06T17:05:38.707138Z","title":"On Measures of Entropy and Information","venue":null,"work_id":"1c473b2f-d698-4cc9-83fa-c9c99c2aa41d","year":1961},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:28.459244Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:21882f7586ca74a1b9b09b7be0782b6b652d0bb4016a184a742078dc63107c17","observation_id":"37d8a860-c044-4d89-a006-162cedd8dee4","resolution":{"observed_at":"2026-08-06T17:05:38.741498Z","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":"2026-08-06T17:05:38.551124Z","title":null,"venue":null,"work_id":"ab1333bb-6aff-4ade-a2b0-d7345e3cafbe","year":1957},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:28.535776Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:7bcf1bf0d2f2ce22bd6fe1ea76c21efc91f9cb037b8fdf9cf1e3c36f13add914","observation_id":"bc7c73d4-0dd3-4190-aa13-15519cb0aa53","resolution":{"observed_at":"2026-08-06T17:05:38.627882Z","resolver_source":"raw_fallback","status":"unresolved"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:28.600211Z","title":"Why the Shannon and Hartley entropies are ‘natural’","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:28.600211Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:69b89c61b81353e62827b3f86320dbba566578240138e4ac0d7dce3f8517eb9b","observation_id":"5f2fae99-43a4-41e5-a949-11dbc5e74edb","resolution":{"observed_at":"2026-08-06T17:05:28.600211Z","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":"10.1016/0893-9659(92)90084-","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:31.154229Z","title":"An axiomatic definition of Shannon’s entropy","venue":null,"work_id":"f895d8d8-c022-43d5-aafb-9794d1a09835","year":1992},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:28.681722Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:837b1b6c694720110d9fb83e5905c2d99017e972d5b40a20c3c4ef11d0b2864e","observation_id":"56ef1e8b-1193-43b2-9d0b-5c584d058694","resolution":{"observed_at":"2026-08-06T17:05:31.205689Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:28.746607Z","title":"Entropy and Relative Entropy From Information-Theoretic Principles","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:28.746607Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:6bb1b5d6f368ea7a8401ee2cb8143b668aa8c2d9309aa8b802504462551a6842","observation_id":"1dbc16b2-bb60-49e4-989e-8b0e2d02f8b5","resolution":{"observed_at":"2026-08-06T17:05:28.746607Z","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":"10.1007/bf00532209","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:30.911625Z","title":"The incompleteness of Rényi entropies","venue":null,"work_id":"4d162fb6-2e8b-4b14-a2ab-73bff28c22ee","year":1986},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:28.816322Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:19e46a6fa8be2183d586d5fc09913edababfdc2973b79d94ba70aa5dc882b4dd","observation_id":"95191d21-2bec-40c7-b66a-d885cfca9685","resolution":{"observed_at":"2026-08-06T17:05:31.012152Z","resolver_source":"doi","status":"verified_exact"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:28.881383Z","title":"On Information and Sufficiency","venue":null,"work_id":null,"year":1951},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:28.881383Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:64ed2f99b3c13007d8c777a20ea73b9ac3c0b6c21a11a82fe0a56602e70c7415","observation_id":"f9650a93-fa71-4a6f-8eda-dc639dc4bbcc","resolution":{"observed_at":"2026-08-06T17:05:28.881383Z","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.102.062401","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:30.610519Z","title":"Optimal extensions of resource measures and their applica- tions","venue":null,"work_id":"88abc8e3-4e9f-49b1-bf1c-dd9039d121a2","year":2020},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:28.991657Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:f45cd2359aa2aa5ca0898cb98dd87f6f1f97cfec53f10b983943eb23a796a424","observation_id":"2cb7aa74-dfa6-4f40-b0bb-3a2f71f50a69","resolution":{"observed_at":"2026-08-06T17:05:30.770169Z","resolver_source":"doi","status":"verified_exact"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:29.036958Z","title":"Semicausal operations are semilocalizable","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.036958Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:becd0e55d2ec01d91ba30d1ff0aeaddd37a7a928015fc7998da57d941c39f524","observation_id":"11ff42b2-aa64-401b-81e0-592b1708b688","resolution":{"observed_at":"2026-08-06T17:05:29.036958Z","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":"2026-08-06T17:05:29.115919Z","title":"Dynamical resource theory of quantum coherence","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.115919Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:22c10521216b2badd62b77b9ce9118b9faa4fb2c5b2fa066e6cb429af3a9e52e","observation_id":"2709e220-7f1d-4af6-b9d0-b275aab518d7","resolution":{"observed_at":"2026-08-06T17:05:29.115919Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.13823","last_updated":"2024-11-11T02:51:23Z","snapshot_observed_at":"2026-08-07T06:29:05.204766Z","submitted_at":"2024-06-19T20:33:17Z","title":"Inevitable Negativity: Additivity Commands Negative Quantum Channel Entropy","version":2},"cited_work":{"arxiv_id":"2406.13823","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.13823","snapshot_observed_at":"2026-08-06T17:05:35.195924Z","title":"Inevitable Negativity: Additivity Commands Negative Quantum Channel Entropy","venue":"quant-ph","work_id":"a72b0653-e110-43d4-82f9-ee379df52af6","year":2024},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.192571Z"},"links":{"cited_paper":"/paper/2406.13823","citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:97da4a453b2c6557450f3b6bec130d41f7fae13f1e8530c9760b176558d690d1","observation_id":"e695c563-f772-4643-9905-84d87a6be578","resolution":{"observed_at":"2026-08-06T17:05:35.327741Z","resolver_source":"local_arxiv","status":"verified_exact"},"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":"2026-08-06T17:05:40.446330Z","title":null,"venue":null,"work_id":"fe3eaf3b-4ba2-4e8f-a405-7c5cbf03ccad","year":null},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.227849Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:2f6d6514f048edab2763381d44e449877fb111bd27a305d94cd47a5dee5ef0cb","observation_id":"84b9bcdd-c4e1-4fd6-9bd7-994645a76dd0","resolution":{"observed_at":"2026-08-06T17:05:40.502521Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:29.289024Z","title":"Minimal entropy of states emerging from noisy quantum channels","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.289024Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:8e1855694688beebd85d76e0d0e5156200765b5e5c1f511d0076f159a70d42c1","observation_id":"8fa33525-96f4-4558-96ac-0bced40f2578","resolution":{"observed_at":"2026-08-06T17:05:29.289024Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.01740","last_updated":"2024-10-30T19:08:57Z","snapshot_observed_at":"2026-08-05T04:39:08.493941Z","submitted_at":"2024-10-02T16:50:47Z","title":"Conditional entropy and information of quantum processes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.01740","snapshot_observed_at":"2026-08-06T17:05:29.378342Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.378342Z"},"links":{"cited_paper":"/paper/2410.01740","citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:479dd3de02e4b5ed886e6a41584d6dfab9dfeafaee6401d8955ce3f41d26a301","observation_id":"8ecd989f-ca65-4ca2-873c-bbb8199a4550","resolution":{"observed_at":"2026-08-06T17:05:29.378342Z","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":"10.1142/s0219749919500461","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:30.349175Z","title":"Trade-off relations for operation entropy of complementary quantum channels","venue":null,"work_id":"c4fceec4-3a45-43cc-9959-8d68f086768a","year":2019},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.444533Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:39491499dce2c4e2c47771f2e7cd5cd23258fb2c811fef79f702cd6bf44ae066","observation_id":"f6e0fb47-138c-4394-b633-6442c75ee8fb","resolution":{"observed_at":"2026-08-06T17:05:30.390634Z","resolver_source":"doi","status":"verified_exact"},"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":"10.1007/s11128-022-03778-1","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T17:05:30.106806Z","title":"An entropy function of a quantum channel","venue":null,"work_id":"a328a787-8489-4fc4-9c58-31748369ba8c","year":2022},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.496117Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:3b53778023f835bed1226d0898565d9aea623b6dfc7e75cb65998e4526d1f83a","observation_id":"18e8e680-5be0-4718-9969-1cf3bea0f221","resolution":{"observed_at":"2026-08-06T17:05:30.188376Z","resolver_source":"doi","status":"verified_exact"},"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":"2026-08-06T17:05:38.417746Z","title":"TheOperationalMeaningofMin-andMax-Entropy","venue":null,"work_id":"ea9573a7-8c80-4b15-a454-0b6a58c0063b","year":2009},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.545814Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:9ff51a3d601a022ca90b1723573f6675bd292161df3ee5cd49b53115ef4685d2","observation_id":"dadcec87-0112-484e-843c-83b606ea8f56","resolution":{"observed_at":"2026-08-06T17:05:38.472727Z","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":"2026-08-06T17:05:38.227724Z","title":"Probability : Theory and Examples","venue":null,"work_id":"4c59b337-cdb4-4b1a-a0a5-86fd63251cfc","year":null},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.596057Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:a5c4a2c60223e8bd7e98bee53bbd3d0d418ac7eec31b2d75b3efbc8e8afd8199","observation_id":"949a0b2a-29cd-4a37-8a48-07510496d6de","resolution":{"observed_at":"2026-08-06T17:05:38.310356Z","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":"2026-08-06T17:05:38.079515Z","title":"Probability and measure","venue":null,"work_id":"2f0d0c72-7e02-481a-b577-59c0d9a12773","year":2012},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.652799Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:49ed9db60e69f1b8984ca28a356952dd9134f1b893ce9e5054382cfe8d8a73d4","observation_id":"361d6278-5af3-4593-a533-dc9d8be4157e","resolution":{"observed_at":"2026-08-06T17:05:38.150806Z","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":"2026-08-06T17:05:37.850774Z","title":null,"venue":null,"work_id":"a8518f09-8ac5-410f-956d-4ea9ba2e0838","year":null},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.693929Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:a9c7f5bdcfaccfd6edde91f92d23f808aceb3cfc230ff9c1d3905225ec30b671","observation_id":"9397c0fb-19bd-4ce2-9fa4-e214a9ba132b","resolution":{"observed_at":"2026-08-06T17:05:37.945504Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T17:05:37.650794Z","title":"Definition A.1.2.Given a probability space(Ω, F , P)","venue":null,"work_id":"43a1b2fa-9949-4185-8f19-96d994bc7f13","year":null},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.750323Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:3128507b7f3fd730278657d5291390fd26d8605fa7abcd7af27f3ba336792581","observation_id":"a4b3eeee-ba88-494f-8b6c-b370fb1a6ffb","resolution":{"observed_at":"2026-08-06T17:05:37.709610Z","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":"2026-08-06T17:05:37.519010Z","title":null,"venue":null,"work_id":"23d876ec-093b-4c23-8f32-117e65cea48c","year":null},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.881766Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:bd50a4702ebaea13105e0ef8088fce797f4dbb1712a0be87617936ae16d08d38","observation_id":"c9efc9dc-128e-444e-86df-848a4cf3dd52","resolution":{"observed_at":"2026-08-06T17:05:37.557343Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2026-08-06T17:05:37.317776Z","title":null,"venue":null,"work_id":"e4a95862-773e-490b-8338-fdd9d776f637","year":null},"citing_paper":{"arxiv_id":"2507.12310","last_updated":"2025-07-16T15:06:17Z","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-06T17:05:29.988609Z"},"links":{"citing_paper":"/paper/2507.12310"},"observation_digest":"sha256:9b26b63354ecced32857aa74cbe917646d4914238832280f5f8de7eee2ba5490","observation_id":"e842dce4-95b6-4a43-af57-6b2f041e433b","resolution":{"observed_at":"2026-08-06T17:05:37.416379Z","resolver_source":"raw_fallback","status":"unresolved"},"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":"2507.12310","last_updated":"2025-07-16T15:06:17Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-06T16:46:23.335148Z","submitted_at":"2025-07-16T15:06:17Z","title":"Uncertainty and entropies of classical channels"},"reference_resolution":{"displayed":76,"state_counts":{"malformed_identifier":9,"metadata_mismatch":3,"parse_uncertain":1,"unresolved":29,"verified_exact":19,"verified_fuzzy":15},"total_outbound_references":76},"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 7 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 0 inbound Pith citation observations for arXiv:2507.12310."}