{"as_of":"2026-08-18T14:57:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f5e8999a7a581ea4f739d70d6a6574788bff9ffec444d8b12a551b952e8e669c","coverage":[{"denominator":26,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":26,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:22:17.168522Z","state":"measured"},{"denominator":26,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":26,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+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/1908.05702/citation-record","integrity":"/paper/1908.05702/integrity","json":"/paper/1908.05702/citation-record.json","paper":"/paper/1908.05702"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:22:17.534355Z","title":"Breuer and F","venue":null,"work_id":"2e1d225e-2438-4de8-bbd4-7c595e41031a","year":2007},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.077625Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:628f5cce376d8ff0d76decb9a84b20dfe3db5b621b80f59f3fa0cbc41dfb7f30","observation_id":"84a6d3e8-adf6-4015-b0af-1bf2f88f1ecd","resolution":{"observed_at":"2026-08-14T13:22:17.538764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.561943Z","title":"Now, if Ψ satisfies KS condi- tion (9), then Φ(XX†)≥ Φ(X)Φ(1 l)−1Φ(X†)","venue":null,"work_id":"d7cca431-9dca-44ee-bf32-6983d067dc7d","year":null},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.067860Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:032ae907f8a96ad9cd4caea09b2e910ba8186806a6767459b17600f2f748ec29","observation_id":"25a25fa3-e721-4655-8e34-14aa3c37c66f","resolution":{"observed_at":"2026-08-14T13:22:17.565757Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.547324Z","title":"Hence, it provides an example of KS- divisible qubit evolution since conditions (25) are trivially satisfied","venue":null,"work_id":"ee9b27d8-e66a-4fb6-805a-6dc9dc3b740f","year":2018},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.072991Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:d1ff729dd6b927ee78ccb45b7a405e17756b1a95099aa40bcfb79deff30b4197","observation_id":"376947b1-9afc-4897-aff5-0481d941d8db","resolution":{"observed_at":"2026-08-14T13:22:17.552578Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.520808Z","title":"Rivas and S","venue":null,"work_id":"dde015ba-fa39-414b-9626-50f031633195","year":2011},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.081740Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:81dd0d52296e203cc99fc6feedae9453a8ed07d875d66c369ef3617091a8ff06","observation_id":"dda70cad-f153-4eae-aa9d-6fbbc373c802","resolution":{"observed_at":"2026-08-14T13:22:17.525563Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.085877Z","title":"Gorini, A","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.085877Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:a3acc589dd992acac5bb0a6dfc0c5a255b9b7670a3306a0dfa8950dc95025a79","observation_id":"6eb98126-2173-4b31-af00-3d172002b927","resolution":{"observed_at":"2026-08-14T13:22:17.085877Z","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":"2026-08-14T13:22:17.090178Z","title":"Lindblad, Commun","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.090178Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:2ab4291c8719c33716e1fc38f0a6e9eaf7d7d3da33af5776781183d91afd8378","observation_id":"74c9ef58-21a5-49fa-85bf-45e9ec14c133","resolution":{"observed_at":"2026-08-14T13:22:17.090178Z","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":"2026-08-14T13:22:17.094205Z","title":"Rivas, S","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.094205Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:186398be04796d23d95ff4a9c5171ca3838d33d3fc8ccd8e5e5552e491a9a9f2","observation_id":"af072178-d531-496c-ad36-2d112020f670","resolution":{"observed_at":"2026-08-14T13:22:17.094205Z","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":"2026-08-14T13:22:17.097966Z","title":"Breuer, E.-M","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.097966Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:61767eb18e01ec540403de0f7a95c8f8cf93c3457b04da0147b6a0fa301748b4","observation_id":"e78410ce-c077-4455-8561-dc70018c6328","resolution":{"observed_at":"2026-08-14T13:22:17.097966Z","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":"2026-08-14T13:22:17.101816Z","title":"de Vega and D","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.101816Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:ba0a935eabf6cde53725516c61b4eaad52504ddf09518ffebc1b424b4409a0d4","observation_id":"ca0a720f-9b84-43fe-96ca-3f037ee40cc1","resolution":{"observed_at":"2026-08-14T13:22:17.101816Z","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":"2026-08-14T13:22:17.458958Z","title":null,"venue":null,"work_id":"aeefa6f6-b72a-4724-b587-f5e16ec0a480","year":2018},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.106166Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:e406c0d0763c60403cb3261c1cd760610cfc2678e4ec14c77a31c6217bcd977f","observation_id":"e87aaf84-a03c-4a46-8642-01902fbe8116","resolution":{"observed_at":"2026-08-14T13:22:17.463681Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.445955Z","title":"Rivas, S.F","venue":null,"work_id":"198faf04-7643-4f61-8139-577e7aa8d6c8","year":2010},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.109889Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:982032a0d06f523e5fd938bcdac73d92c25c76f7a57da964c3e14abc58c10c14","observation_id":"cbe17863-efcb-482d-a418-048910b60e4c","resolution":{"observed_at":"2026-08-14T13:22:17.449319Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.113577Z","title":"Breuer, E.-M","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.113577Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:24e2b230bd03f639828745a57c8f1894878ce7b60d024ed928e98ed1b75673fd","observation_id":"b599e3b4-4870-4218-a789-2e2a3cfc470b","resolution":{"observed_at":"2026-08-14T13:22:17.113577Z","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":"2026-08-14T13:22:17.421207Z","title":"Chru´ ci´ ski, A","venue":null,"work_id":"0c80d3fe-6fed-45e0-9aa3-0f8dd3be1762","year":2011},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.117449Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:55bf0b2db4cc831c709ce1fff6916a103e1e8d969e2ae873409174d8cc2f390e","observation_id":"afc1cbac-0939-4a39-a726-23264cfa201e","resolution":{"observed_at":"2026-08-14T13:22:17.426640Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.405389Z","title":"Bylicka, M","venue":null,"work_id":"f66b0ef8-52f5-4358-b79e-8f3b53a5ce08","year":2017},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.121294Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:cdcb447c5957393bd4e53b89035a43f907a0d6ec613909f679c4fc2bd04cad7b","observation_id":"c3ac7617-e2ae-4906-ad68-08a6f68b4e8a","resolution":{"observed_at":"2026-08-14T13:22:17.409994Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.391030Z","title":"Chru´ sci´ nski,´A","venue":null,"work_id":"e971b1aa-880c-4ac3-8fb6-06e5858c018d","year":2018},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.125176Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:9301ac033e623f5d56f4d0ebb068553f50f836a631ff624f360c3e4a8b6eae37","observation_id":"6d486a89-e80b-43dd-a2bf-7c40a5a69eeb","resolution":{"observed_at":"2026-08-14T13:22:17.397169Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.377867Z","title":"Chakraborty and D","venue":null,"work_id":"eb0d182c-571f-4b37-92df-a86d645305be","year":2019},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.129123Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:41e144fbf40016772dc838c1dd62d1c4f8fb78f4dcf9622249f8261a4847a040","observation_id":"34c68599-a002-48ec-810c-ae7fabf66fa5","resolution":{"observed_at":"2026-08-14T13:22:17.382286Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1812.11437","last_updated":"2020-01-19T04:08:44Z","snapshot_observed_at":"2026-08-14T17:37:07.375561Z","submitted_at":"2018-12-29T21:08:51Z","title":"Divisibility of qubit channels and dynamical maps","version":4},"cited_work":{"arxiv_id":"1812.11437","doi":null,"metadata_source":"pith","pith_arxiv_id":"1812.11437","snapshot_observed_at":"2026-08-14T13:22:17.200003Z","title":"Divisibility of qubit channels and dynamical maps","venue":"quant-ph","work_id":"e14271b1-125e-45f9-8d99-748c9cf641d8","year":2018},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.133221Z"},"links":{"cited_paper":"/paper/1812.11437","citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:d3c1bd889cf78a104f3182527f48faafefbcf405cf9cb44a413212fb6a417ca8","observation_id":"1fceba9e-a8d8-4c4f-b568-428db5735c91","resolution":{"observed_at":"2026-08-14T13:22:17.206295Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.364947Z","title":"Buscemi and N","venue":null,"work_id":"6517f588-6c77-4471-8629-bcde984a8605","year":2016},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.137787Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:0d55c436c9d356aebf3e57d43c0089b4aa3c77b393243759b3e162bf35141036","observation_id":"44f42fe1-2350-4208-96d3-af857627fa02","resolution":{"observed_at":"2026-08-14T13:22:17.369509Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.328144Z","title":"Paulsen, Completely Bounded Maps and Operator Al- gebras, (Cambridge University Press, 2003)","venue":null,"work_id":"b447eb3a-6341-4a07-9792-4653e3196f37","year":2003},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.141420Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:1d75ab2f50d6e0504948f9cc2caf41f132e37023058883e9cad66fe3a2fce5d3","observation_id":"3aacdbd2-952c-4a6c-8116-ea391dbef499","resolution":{"observed_at":"2026-08-14T13:22:17.339417Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.303549Z","title":"Størmer, Positive linear maps of operator algebras , (Springer Monographs in Mathematics, 2013)","venue":null,"work_id":"5ac7e96c-d8d2-457a-8b11-f218037d8129","year":2013},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.145278Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:8fa8ce62e13dbd8dfc63990ab022305627b463983550eff7130764a8220e7660","observation_id":"50c08bf8-c7cf-4b7e-a919-269f52dbabdc","resolution":{"observed_at":"2026-08-14T13:22:17.313343Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.289870Z","title":"Kadison and J.R","venue":null,"work_id":"5d8edd07-d1e0-4e94-ac2c-fb07f81eded9","year":1986},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.148958Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:a6028c5adcab14fadf900b2d6f927a361be2e18bb4f34ebbb2756e5ffe653fd5","observation_id":"aa83c401-5b50-402f-b089-b4d8c7b72876","resolution":{"observed_at":"2026-08-14T13:22:17.294240Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.273947Z","title":"Bhatia, Positive Definite Matrices, Princeton Series in Applied Mathematics, Princeton University Press 2015","venue":null,"work_id":"c4e3ad59-4764-4e26-810d-14ea435c33b2","year":2015},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.152593Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:66d29885dee967993cb76a03e8b88c3669ce6f2120e17f5d164ce0b0f375a405","observation_id":"52e5f9e1-ec41-4f16-a36c-63bdb45a78d2","resolution":{"observed_at":"2026-08-14T13:22:17.279513Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.258608Z","title":"Mukhamedov and A","venue":null,"work_id":"548e70dd-c59a-44c5-bbd4-a1439aa031fd","year":2010},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.157251Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:ff5904f6adc8e7ad914cb32da9514ec3c2d30008eb3baea385d4cc049f2df421","observation_id":"3c6f8c72-ada4-469b-bfa1-71f7dbeac39f","resolution":{"observed_at":"2026-08-14T13:22:17.264032Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.241458Z","title":"Hall, J.D","venue":null,"work_id":"e2ca6994-8fc3-41c6-a797-e7c1977fdb86","year":2014},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.160857Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:1360f5ad500d1279ce1bfc1f3312b2a244220b93d7bc27f4819367b42e4a1327","observation_id":"0d9abf04-9edb-4119-9acc-95e4329b90b4","resolution":{"observed_at":"2026-08-14T13:22:17.246519Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.227328Z","title":"Chru´ sci´ nski and F","venue":null,"work_id":"6c577acc-156b-4ba2-a9b8-ccb20d0e5b53","year":2013},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.164583Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:a77d6a5dfc819c01357b0ee1ca53a79ef67bffba56f0333d90f5bc569cdb29a0","observation_id":"514acef0-75e4-4cd1-bb73-7afbdf4cea5a","resolution":{"observed_at":"2026-08-14T13:22:17.231480Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-14T13:22:17.214819Z","title":null,"venue":null,"work_id":"62036818-55f2-4b8f-b17b-fd959f6f4901","year":2000},"citing_paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T13:22:17.168522Z"},"links":{"citing_paper":"/paper/1908.05702"},"observation_digest":"sha256:bccaa4f0e96e4701ca8a6087c987d0019ddee0494634d513d90acebd78eca164","observation_id":"7f1be55c-effc-4d8e-a37d-fd82288fb3c8","resolution":{"observed_at":"2026-08-14T13:22:17.219637Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.05702","last_updated":"2019-08-15T18:35:01Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-18T09:09:01.661487Z","submitted_at":"2019-08-15T18:35:01Z","title":"Dissipative generators, divisible dynamical maps and Kadison-Schwarz inequality"},"reference_resolution":{"displayed":26,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":1,"verified_fuzzy":17},"total_outbound_references":26},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1908.05702."}