{"as_of":"2026-08-10T16:17:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8b191eaba6916fa8893964cc3b7f6fa5381e767d734283fa7a39e2d4c8b0285d","coverage":[{"denominator":78,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":78,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-25T07:50:05.277937Z","state":"measured"},{"denominator":79,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":79,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-26T10:29:32.864029Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-04T09:09:43.063120Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"cited_work":{"arxiv_id":"2510.22542","doi":null,"metadata_source":"pith","pith_arxiv_id":"2510.22542","snapshot_observed_at":"2026-07-04T09:09:43.063120Z","title":"Krylov Complexity and Mixed-State Phase Transition","venue":"quant-ph","work_id":"7bd2d399-47e5-4a4b-b50e-34068e013633","year":2025},"citing_paper":{"arxiv_id":"2606.22507","last_updated":"2026-06-21T14:02:42Z","snapshot_observed_at":"2026-08-07T10:07:37.578540Z","submitted_at":"2026-06-21T14:02:42Z","title":"Hierarchy of mixed symmetry protected topological states in extended cluster states under subsystem decoherence","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-26T10:29:32.864029Z"},"links":{"cited_paper":"/paper/2510.22542","citing_paper":"/paper/2606.22507"},"observation_digest":"sha256:25019b129f6af9eae17088488d0c4a63e4cc05909c3c5be435fef7a11ce71352","observation_id":"27b0d9a2-6293-4778-adf0-ba90aa51b3b8","resolution":{"observed_at":"2026-07-04T09:09:43.064300Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2510.22542/citation-record","integrity":"/paper/2510.22542/integrity","json":"/paper/2510.22542/citation-record.json","paper":"/paper/2510.22542"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"eb658ac6-b8ba-4e58-a4b3-25f17a44ceee","year":2000},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:f6fd6b292ed3ca094dacb6fd20fc33059c20e6e273be2e74bedc47b3bd9a901c","observation_id":"28dab08b-48bd-4459-9431-92c994f4441a","resolution":{"observed_at":"2026-05-25T07:50:29.656691Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"ph/0306072","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-08T15:45:04.679333Z","title":"Decoherence and the transition from quantum to classical – revisited","venue":null,"work_id":"fe2344f0-8c58-484a-a745-f272fc3fa33f","year":1991},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:616ae28cf040aa03e1e4b70cc06a4ad64034179bf92814e526f0919bb9086135","observation_id":"f52fa6f6-48ad-4ebc-8638-cf0208a5916d","resolution":{"observed_at":"2026-05-25T07:50:28.902885Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Dennis, A","venue":null,"work_id":"2c2609ba-d55c-4e1c-8fc1-821a39914f4d","year":2002},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:ec334515adee518d204e6f04d28cde7739c9585fb4be604d5919ed7da1422176","observation_id":"f6d64055-53e7-4420-b5cf-dbf28528fd3a","resolution":{"observed_at":"2026-05-25T07:50:29.659991Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-08T11:04:53.793804Z","title":"Preskill, Quantum computing in the nisq era and be- yond, Quantum2, 79 (2018)","venue":null,"work_id":"6e87603e-a152-4bf3-99ca-49379777dcd9","year":2018},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:26845ca24776978648dcbc56c000354ef387354c34e91fedb1a2639fdc30bcb8","observation_id":"7e1b831c-488a-4392-84f2-cebe97d524e1","resolution":{"observed_at":"2026-05-25T07:50:29.663338Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Bluvstein, S","venue":null,"work_id":"aa9668e3-eb9d-4708-ab6e-5378f9d0d31c","year":2024},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:a5b92fe9b71e4427bdbe735c7f473c9dc712842cb98e15c046b4d196e3dcd5d5","observation_id":"4ed1edf4-6e1e-42a1-a4e3-9f528601ebbe","resolution":{"observed_at":"2026-05-25T07:50:29.675565Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Ebadi, T","venue":null,"work_id":"444f7094-8b8c-41a4-ba4d-0eac8948a8bf","year":2021},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:ae77116966b418e82a4d1ffc1070b32642ac781f0b53e04f06b3fd828fd19f2b","observation_id":"91057dbd-2815-4f88-864a-debb4a0a86db","resolution":{"observed_at":"2026-05-25T07:50:29.639652Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-10T23:27:43.833382Z","title":null,"venue":null,"work_id":"4b403e8a-452d-4798-b7ec-903c5a790f5c","year":2024},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:940a47455d2775058edf849e3a19b24da0cfa04ae7e27b3b89d7685bb42e75b9","observation_id":"332119f8-a590-49cb-a531-b35dc231921e","resolution":{"observed_at":"2026-05-25T07:50:29.649549Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-06T09:32:18.361924Z","title":null,"venue":null,"work_id":"63c15e00-e469-43f4-9ac9-b1a44b0bf10b","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:f4dbf432b67944838597967108a9ba7f9c78074f70722121ef47ef091823796a","observation_id":"7c54264f-773b-49c5-9538-2de6b73e8a1c","resolution":{"observed_at":"2026-05-25T07:50:29.646251Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-09T13:56:19.475812Z","title":"Ma and C","venue":null,"work_id":"9fafdc6b-1b72-4130-aecf-97603902e53d","year":2023},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:3c706d4a7937630f8669ed295d772906ebe7587c8d60c8f89c971ba257f13bf4","observation_id":"83496709-1154-4e00-9719-fcf7c541e274","resolution":{"observed_at":"2026-05-25T07:50:29.518124Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"0e6268ac-50ca-4cf9-9f96-df302c40ca49","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:f08bbd3ebe3778162f67ad65ed645fa81a99f2dcd7cd5bdd71a750d9e46bdaf7","observation_id":"332ebddf-ae0b-451c-a98d-df59ccb10c83","resolution":{"observed_at":"2026-05-25T07:50:29.619142Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Sohal and A","venue":null,"work_id":"09d3ddac-0ac2-48ea-ac0e-d341441aeb78","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:4995ca65df9683aa1b3c05600724feef9d6949d229319b19a4830425ec79e2cd","observation_id":"b736eced-246c-422b-9ed8-8622c869c732","resolution":{"observed_at":"2026-05-25T07:50:29.622634Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/prxquantum.6.010315","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Toward a Classification of Mixed-State Topological Orders in Two Dimensions","venue":"PRX Quantum","work_id":"61655632-377b-45d6-bdb2-3412025ddc4e","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:8b4d860c0b7c95fdf0c203e6ef9f77ed86b1c2a6c9f86ac442a710298e662bdf","observation_id":"8a585b1f-a00b-40b7-843d-341c73c75e30","resolution":{"observed_at":"2026-05-25T07:50:29.629596Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"2537ce3a-5b54-4dc7-a9a2-f157e8303d85","year":2024},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:af8db621a87532d7c6402c833c1371fc3f2db063aee13efa4223991e3bd3d309","observation_id":"e8d3be1a-eb4b-4a4d-a992-7e894476e2ff","resolution":{"observed_at":"2026-05-25T07:50:29.602174Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Zhang, U","venue":null,"work_id":"3bfb06c9-14a5-42ef-9f06-aeccd7dd84cd","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:ed57757208008cc143ff7758be88a59f8b9a7783d4268270ae253ecd9b761d3d","observation_id":"e37facec-4f57-4770-8e6a-63464468a2f0","resolution":{"observed_at":"2026-05-25T07:50:29.613705Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Buˇ ca and T","venue":null,"work_id":"7d0ff672-8dc7-4d56-b8cd-ec844b3534b0","year":2012},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:3cee0716ece3f4c4aab1a9ac9bb2040a941a4414a841230c13345d0c73b898fa","observation_id":"96960a17-8311-4450-9564-f8115df10c7f","resolution":{"observed_at":"2026-05-25T07:50:29.666526Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-09T13:56:19.565608Z","title":null,"venue":null,"work_id":"7f7e0a9e-eeab-4a36-b1b5-9bdc61cf4571","year":2014},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:c1272fc15ed54505e1f7c684a9c8bef06e4a8c800dc39328e03299b4f0c6a498","observation_id":"68f16e61-4621-44dd-b00c-9f0af3a06f9c","resolution":{"observed_at":"2026-05-25T07:50:29.514710Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"de Groot, A","venue":null,"work_id":"2f69c501-a73f-4f53-bc30-d16adb4a50cc","year":2022},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:087b981a57fa683580fb13deb5ddfddbfb8f866a43d41b0b2af479ed0db0309b","observation_id":"5dae84d4-ba86-44f2-8809-7a010305274d","resolution":{"observed_at":"2026-05-25T07:50:29.678264Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Guo and Y","venue":null,"work_id":"a8c3c5c0-5f1b-4fc6-8d5f-af59717d6e41","year":2024},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:e15ba9d03ac8f78586ebbbd61680ee6b1eba99edc22643023f6c84dbf3d163a7","observation_id":"d30d23dd-f071-4d3e-a45e-0491443ffa63","resolution":{"observed_at":"2026-05-25T07:50:29.527753Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Orito, Y","venue":null,"work_id":"e0783cf4-faca-4b86-ae2a-97e4d1cef580","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:e297b8e5355cc24aa7cc77cbb59fa73c5b748c93173876c20303718885a96dcc","observation_id":"6ad289b2-cd82-431a-9998-6bd39d67a037","resolution":{"observed_at":"2026-05-25T07:50:29.572131Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.18898","last_updated":"2025-08-10T06:49:35Z","snapshot_observed_at":"2026-08-07T17:47:58.320604Z","submitted_at":"2025-02-26T07:24:47Z","title":"Zipping many-body quantum states: a scalable approach to diagonal entropy","version":2},"cited_work":{"arxiv_id":"2502.18898","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2502.18898","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Chen and T","venue":null,"work_id":"cbab1623-d71d-4a0a-a81b-2b55bdc5f71c","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"cited_paper":"/paper/2502.18898","citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:5b8cf598ec07b2eca52752895087bc338bb49ed39aa332f8f9ea40f78ea8ff8b","observation_id":"a480c858-7f91-4fcf-9611-48836f81873e","resolution":{"observed_at":"2026-05-25T07:50:28.864291Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2505.11501","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"S´ a and B","venue":null,"work_id":"bf1ec098-21bb-47a1-a3af-1591bc4c3bba","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:1be915589b708672df361ddac564473da8f1128099085882b091023d4b5832af","observation_id":"5499ffe0-7d62-4150-987e-81a7fab9fc64","resolution":{"observed_at":"2026-05-25T07:50:28.823664Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2509.13440","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"c69a0e7d-998e-401d-9762-5cbf417af3a9","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:5113722d1c6f440ef68ea333839e5a6f0c9cc512598f93cc5fe6f33c19f687b0","observation_id":"60dadaa8-7c67-4c2b-ab5c-4b94da8f1fd0","resolution":{"observed_at":"2026-05-25T07:50:28.895517Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.06218","last_updated":"2025-07-08T17:51:00Z","snapshot_observed_at":"2026-08-09T21:58:35.635565Z","submitted_at":"2025-07-08T17:51:00Z","title":"Topological Holography for Mixed-State Phases and Phase Transitions","version":1},"cited_work":{"arxiv_id":"2507.06218","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.06218","snapshot_observed_at":"2026-07-03T13:18:12.892390Z","title":"Luo, Y.-N","venue":null,"work_id":"7cd80b8c-eb86-4c13-8a22-20e705652841","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"cited_paper":"/paper/2507.06218","citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:c446099bfecfd23bbc4c434bc0d23418360fea291a0a48cfc4f694fdbf7fcf7e","observation_id":"f34cc8af-8519-4f78-9fa6-b45e8592a315","resolution":{"observed_at":"2026-05-25T07:50:28.841657Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2503.14221","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"dc99effc-1ae7-4490-8ef0-4bceb1690f70","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:f93468a6404ae2c2fbe837da7c2f7793135ef526064605dc3edab9fc2be762ef","observation_id":"a08b817a-4700-45f2-a803-8d5cce70d3a1","resolution":{"observed_at":"2026-05-25T07:50:28.874604Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.02900","last_updated":"2025-05-05T18:00:01Z","snapshot_observed_at":"2026-08-07T15:56:16.994857Z","submitted_at":"2025-05-05T18:00:01Z","title":"Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding","version":1},"cited_work":{"arxiv_id":"2505.02900","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.02900","snapshot_observed_at":"2026-07-01T17:05:51.368844Z","title":"Zhang, T","venue":null,"work_id":"c821a497-4407-4c56-b639-b1604031671d","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"cited_paper":"/paper/2505.02900","citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:605e41bdfe6810e0015a276ff7ad7bd0b6a99ca6ac7caf5e46a134c08dae6137","observation_id":"92db7552-20b7-49c7-b190-4b15aac1b552","resolution":{"observed_at":"2026-05-25T07:50:28.869771Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e640f0f6-338c-4688-bea5-ce0e34834af4","year":2023},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:18f572bd3f0f0c932c208db4fbe82d34fe2c1bc85a01b6b55697efd220b2fc3c","observation_id":"d4b0745d-b920-492d-9537-c8d79a5523aa","resolution":{"observed_at":"2026-05-25T07:50:29.557199Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-10T23:27:43.542224Z","title":null,"venue":null,"work_id":"15a4b84b-5058-435c-912c-0458096c921d","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:20d72c95990f2ac9190395049046696885e1c212257d1a53e706e2881dcd5ffd","observation_id":"33ee41fc-18c6-430b-af68-677cb0c4b17e","resolution":{"observed_at":"2026-05-25T07:50:29.545692Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-09T13:56:19.584918Z","title":"Weinstein, Efficient detection of strong-to-weak spon- taneous symmetry breaking via the r´ enyi-1 correlator, Phys","venue":null,"work_id":"0d31ab45-3e3f-4138-87e5-a36c6abe8494","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:a001db860fc16435ffc3b98f4ccd0bf9f9547f35dbcb9704876df176f7e6e383","observation_id":"8a582865-0660-4c6b-90c4-eb1fca11be27","resolution":{"observed_at":"2026-05-25T07:50:29.539408Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-09T13:56:19.603972Z","title":null,"venue":null,"work_id":"03f928f0-668a-4ba9-8009-76215f230176","year":2024},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:cb9426d39ab3ff87489fb568de4e1b9a3135aecdbfb2ab7293d0d14fc62bc2ae","observation_id":"ef8c09b3-382f-4d63-99c1-de1a11688760","resolution":{"observed_at":"2026-05-25T07:50:29.550587Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-09T13:56:19.611454Z","title":null,"venue":null,"work_id":"ac58f60d-6e91-42b1-88ec-4fa53f36e6e9","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:6dfa3c5a72832e90c185703f091965025f51eb95d29bfc0654654bba19721f2d","observation_id":"bc2417cf-0b79-4654-aedb-dc156895079d","resolution":{"observed_at":"2026-05-25T07:50:29.521223Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f107e7dd-7087-49f9-8158-38eff8b5af5d","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:6b8e7ec89148a8e86b475e52c6bcf0618bf0b56f778bb002c8bfe756baefe9e9","observation_id":"9200882d-8d5f-4f43-b6ae-aa6a3398e5b4","resolution":{"observed_at":"2026-05-25T07:50:29.582739Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.18944","last_updated":"2024-09-27T17:45:02Z","snapshot_observed_at":"2026-07-06T19:23:33.343982Z","submitted_at":"2024-09-27T17:45:02Z","title":"Fluctuation-Dissipation Theorem and Information Geometry in Open Quantum Systems","version":1},"cited_work":{"arxiv_id":"2409.18944","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2409.18944","snapshot_observed_at":"2026-07-01T23:26:23.450778Z","title":"Zhang, C","venue":null,"work_id":"46160c10-8def-45d4-abc8-4fb5b24c8d98","year":2024},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"cited_paper":"/paper/2409.18944","citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:fdabfd901ace0ac82be014c934e431a13dbe50f123e3616347f3c1317a82577e","observation_id":"9edf9eed-f3b8-421a-97e2-d91077bb047c","resolution":{"observed_at":"2026-05-25T07:50:28.829622Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Sachdev,Quantum Phase Transitions 2nd edition (Cambridge University Press, 2011)","venue":null,"work_id":"de088e38-56ca-4751-a03d-8a280fc19bce","year":2011},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:f904a087a28cf403f4f2972e5b35cb807f5f4bcae109c624a4e0840ca0dff0b7","observation_id":"d4c81c17-ee08-44ea-acb1-b98c17c82944","resolution":{"observed_at":"2026-05-25T07:50:29.560957Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2504.12233","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T11:23:20.731655Z","title":null,"venue":null,"work_id":"a50b063f-5b59-44d1-a4cb-60ff6fc033c9","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:94c184b7910428efe88528400545a6ccd697056928279d6a822154802d0f5885","observation_id":"f3921849-506c-4e1f-91e9-01c8eaa34250","resolution":{"observed_at":"2026-05-25T07:50:28.889277Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Choi, Completely positive linear maps on complex matrices, Lin","venue":null,"work_id":"0bbd3f79-2b8d-4e5d-a40a-7d8580fb9e3b","year":1975},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:c77ff36a8caccf8b1e7e0251a4b73a2ba6a5659d5c731545b035eec60e04bfcc","observation_id":"fd180e25-18c8-4cbf-9b44-3e114f6b73d7","resolution":{"observed_at":"2026-05-25T07:50:29.669926Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Jamio lkowski, Linear transformations which preserve trace and positive semidefiniteness of operators, Rep","venue":null,"work_id":"35249e9e-4564-4577-b2a3-035844c44c8b","year":1972},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:122650f0a8a5a22bb219d7ac3db0d686c70a69aed32caa0051540ef42aae1df1","observation_id":"9496c582-c885-47b1-b5c0-b79ecfcf87a5","resolution":{"observed_at":"2026-05-25T07:50:29.524597Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"M¨ uck and Y","venue":null,"work_id":"f74ed155-5ae4-4782-981b-f2cfd56747ec","year":2022},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:3b3b6b8e5cbe3be29419c7cf0f552c122f3d5f1dfffdf81d324a7068f43098d8","observation_id":"bae656c2-9049-4561-9b6a-4a716c850d77","resolution":{"observed_at":"2026-05-25T07:50:29.507411Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Nandy, A","venue":null,"work_id":"819b0138-bcd3-4403-bd34-c14a04d80c58","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:80a86a7ae5c0241b37a65b83d5110e95fd1578c097d667d87b9afe550597c31b","observation_id":"8d055c8a-c4d4-4ee4-9d0d-0f40eef7092e","resolution":{"observed_at":"2026-05-25T07:50:29.585723Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.06286","last_updated":"2025-07-08T18:00:00Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-07-08T18:00:00Z","title":"Krylov Complexity","version":1},"cited_work":{"arxiv_id":"2507.06286","doi":null,"metadata_source":"pith","pith_arxiv_id":"2507.06286","snapshot_observed_at":"2026-07-10T17:47:25.378235Z","title":"Krylov Complexity","venue":"hep-th","work_id":"6c245531-5452-40b7-80a0-510a24ad161b","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"cited_paper":"/paper/2507.06286","citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:c64fc47c76ab44d9b3bb8472309714a35f069e53d9ba04354575124b2a4f03a3","observation_id":"65d8d643-9fe6-4d8b-a150-ce836af4d1c4","resolution":{"observed_at":"2026-05-25T07:50:28.907750Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2503.10753","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-10T07:56:58.009885Z","title":"Baiguera, V","venue":null,"work_id":"0742af6e-0c49-4ca8-bf8d-85b25040e6a8","year":2026},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:73d940dd03074833279f32229494fdc090e24fe3e3fdf0fc385e97b870e7a34c","observation_id":"75c0503d-112f-4313-b3a3-7c22226ac971","resolution":{"observed_at":"2026-05-25T07:50:28.880300Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-08T15:55:05.730948Z","title":"Balasubramanian, P","venue":null,"work_id":"d1aa605b-e33e-4149-8ddf-68113e64461f","year":2022},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:d6f0b2ef7861bdfeb3bae89974208d0dfab36ca029e94b08cb60542209c7d656","observation_id":"003c8200-e6ee-4429-bf09-0ea1b40c602d","resolution":{"observed_at":"2026-05-25T07:50:29.510992Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/jhep08(2023)176","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Erdmenger, S.-K","venue":"Journal of High Energy Physics","work_id":"00eb743b-95a2-4d1b-8738-d35f05ae6e05","year":2023},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:268375d79b918d863e50bc7cb1a1a5770c668d2c0a5a0941edf2e51e58fb8fbb","observation_id":"c07ada1b-7444-4033-ab7a-0b5d512f10ed","resolution":{"observed_at":"2026-05-25T07:50:28.629390Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-07-14T17:20:45.675923+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-14T17:20:45.675923+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Alishahiha, S","venue":null,"work_id":"ca6ab5ea-9ad4-4be8-988f-3defc3adde32","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:7bde127afc8aa9b4b2aea4dda579db7aae8a55a9c8719be5ea4256e84e1cd3da","observation_id":"5677ee7c-bcbf-438e-a737-619c20e38763","resolution":{"observed_at":"2026-05-25T07:50:29.535560Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevx.9.041017","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Parker, X","venue":"Physical Review X","work_id":"7618aefe-861d-4683-9cf4-3de4f9a64f26","year":2019},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:420538218f28fb9f74bc5aee39add9380738a6853154368cf556c71442863abb","observation_id":"7b518cfa-a597-4e60-a1c7-8e4bc4e2b632","resolution":{"observed_at":"2026-05-25T07:50:28.623865Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-07-14T17:20:43.441279+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-14T17:20:43.441279+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2504.16165","last_updated":"2026-06-10T10:42:06Z","snapshot_observed_at":"2026-08-07T16:00:08.758788Z","submitted_at":"2025-04-22T18:00:02Z","title":"Robust Mixed-State Cluster States and Spurious Topological Entanglement Negativity","version":2},"cited_work":{"arxiv_id":"2504.16165","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2504.16165","snapshot_observed_at":"2026-06-11T02:08:31.983242Z","title":"Lee and E.-G","venue":null,"work_id":"de3a552e-6f65-4ef9-a3fa-b7b501b01031","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"cited_paper":"/paper/2504.16165","citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:7f8fe9261baae31f6cb0db2a9b3f8799afef5751d96bcdb75cd9b6f278f74c97","observation_id":"6a4a0392-a76e-44c7-a960-1340195588ae","resolution":{"observed_at":"2026-06-11T02:08:31.983242Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d00e6002-48fa-4099-b91d-df65732ae9cf","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:034245de18fa0d742ace98edce37fef93dc86b8748d3a9d789b435d59ef5d302","observation_id":"fd82975d-7aa1-4cc9-8261-e57cfd941314","resolution":{"observed_at":"2026-05-25T07:50:29.553793Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Nishimori and G","venue":null,"work_id":"8e5d7474-cac2-4ad2-8d41-939315cb7f23","year":2011},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:e3775792ec88c9d05add822688498166a7e26b929eba03dff861921ff618cacb","observation_id":"9fa7da77-6af8-4956-847b-d584cebeb3e8","resolution":{"observed_at":"2026-05-25T07:50:29.503988Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"592a6ddf-71f8-4072-83d3-dc4473562f8d","year":null},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:c1425f3fab1aa17aa20e3675151a503db3451bb9d162fa1bb1955f81c801f452","observation_id":"45100893-b33a-44ee-9bcc-df99f0e6c519","resolution":{"observed_at":"2026-05-25T07:50:29.568935Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Viswanath and G","venue":null,"work_id":"242acfb7-b5b4-412c-abe7-72e6c27645f4","year":2008},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:09b076c32c1cdbf2d51e88be4c12d32915eba79b5616642c43cd2a942030142c","observation_id":"a5fac22a-c2ac-444b-b23e-47861e87959a","resolution":{"observed_at":"2026-05-25T07:50:29.565297Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"79dbaf0f-6aee-4466-852f-dc1d183c1371","year":2023},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:0e710774972cf053025828dfe326a51de815baa5e0c796cc237736f71e2aac49","observation_id":"3b5a70ea-3137-44a5-b1c0-43968dfe5d24","resolution":{"observed_at":"2026-05-25T07:50:29.496798Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-08T15:55:05.715542Z","title":"Caputa, J","venue":null,"work_id":"fc442204-d485-48a1-b612-14d47b2ae199","year":2022},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:2a045cefbb9e87fa971da17cef29d59009fcbad47a47758f1fdef7ee636b0246","observation_id":"621b4872-9ad8-478d-80c6-91337d2ea1ad","resolution":{"observed_at":"2026-05-25T07:50:29.575298Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Hu, W.-Y","venue":null,"work_id":"30ad170b-90d2-4677-8086-53a5ad08ec8a","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:0df8a284cb9ffa4ecc39e340a2588abe3da3c4055adf68b5bd011abb404d9ea7","observation_id":"5aa086f1-10e3-4439-9ade-a99e202a99bd","resolution":{"observed_at":"2026-05-25T07:50:29.500722Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-10T12:07:03.925313Z","title":"Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Annals of Physics 326, 96 (2011), january 2011 Special Issue","venue":null,"work_id":"9a4606f9-6f1d-4bb1-897a-f2243d78de84","year":2011},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:ad35d4d7d298f900ddab60e92804711af55aa39dba3fc8bf063d4c35e1c8ad35","observation_id":"227ee83c-4e33-42a1-8494-5a6d3558029e","resolution":{"observed_at":"2026-05-25T07:50:29.589386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-09T04:55:59.683847Z","title":"Fishman, S","venue":null,"work_id":"942d8b23-25ab-4125-a4dd-253fcdbdb410","year":2022},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:aa4bb6fd5aeb79d2a136fd20fe2aa83b0669b771666e1235c57300e2fe1031e1","observation_id":"110ccd4b-532d-4370-826e-89c304e913e9","resolution":{"observed_at":"2026-05-25T07:50:29.579165Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"cceb8e8e-1e62-442e-a432-2ce4ac068d68","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:2844c8f7a06868947085752eaa1362a88544c5789af4fac76c96e3e93469da68","observation_id":"133a2bb9-e965-426b-9737-74c401218e08","resolution":{"observed_at":"2026-05-25T07:50:29.616462Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/jhep12(2023)112","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Bhattacharyya, D","venue":"Journal of High Energy Physics","work_id":"9fce82d0-eac7-44ea-93c9-f15638bef76f","year":2023},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:8a5d1e941ae08639c17a6960dda4f2c73aef96c8b4241b923ac4b76aa6171974","observation_id":"08c852b7-a8cb-430b-8762-ee147d03da5b","resolution":{"observed_at":"2026-05-25T07:50:28.618697Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Lipkin, N","venue":null,"work_id":"c44e8630-c497-494d-b4e8-b006f5e56390","year":1965},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:4411eecb4c7f09db24bd9718c94886fd683735af71f8a7b916c3a6a18b6c0021","observation_id":"fcf2b367-9dfa-41c6-8834-548ee79ba6a9","resolution":{"observed_at":"2026-05-25T07:50:29.542538Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Afrasiar, J","venue":null,"work_id":"f250479e-4237-4caf-bb44-b38f2f4d6192","year":2023},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:6610fe8e8cbae7c11fc90cc433032dcbc387ee0287677d000a1a6b0991b55ceb","observation_id":"01fbe1b4-f178-43d5-8628-8afff037dbc1","resolution":{"observed_at":"2026-05-25T07:50:29.684921Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d8e2ee09-fa82-4fe4-a998-f3f8e7392cd8","year":2024},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:2b521deb99605fa09791a364a4a5f11c75cdc515a4b626a6cfe6dffa45c3f784","observation_id":"d39e2c2b-1f96-4acb-91f4-3ec9ae4d13dc","resolution":{"observed_at":"2026-05-25T07:50:29.681956Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/m4jf-7svp","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Dynamical quantum phase transition, metastable state, and dimensionality reduction: Krylov analysis of fully connected spin models.Phys","venue":"Physical review. B./Physical review. B","work_id":"1a350fbd-b096-4c6d-a620-fb67c4f64d9d","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:48cd0f2b653763a366f575723501f4ad633f04efdfc8e6f967dd7d1879d7bdc3","observation_id":"a7673078-bf55-4291-a3e4-d3867cf4d3f8","resolution":{"observed_at":"2026-05-25T07:50:28.605284Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-10T21:17:38.565234Z","title":"Holstein and H","venue":null,"work_id":"3bc02c81-0e68-4583-a345-bb4bdfdf352d","year":1940},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:551d72b39b80b54a50e3ed22d0b97ec7d5cba6c714276326f477e4162eba6ea1","observation_id":"da37fcb4-3f2b-41c4-9e39-b482a70750ef","resolution":{"observed_at":"2026-05-25T07:50:29.642814Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"8cf10c58-9940-44a9-972b-1fa4a6739400","year":2020},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:0a4ca77f3a7830d4bd06bba449a2ced82140053c1bb84faf5f2c7413fb63d07f","observation_id":"c024caad-2fd5-4b4b-ad8a-00b0002eddfc","resolution":{"observed_at":"2026-05-25T07:50:29.625892Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d688523b-ad8d-4176-95ae-5ba51ec57cd1","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:70f994d143fbc5135457ccad587fe56c3b1ac2ee25ddf5abc3bb218400cedf87","observation_id":"17866470-a4a5-4baa-867c-6bde7db3e619","resolution":{"observed_at":"2026-05-25T07:50:29.632866Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-09T13:56:19.506346Z","title":"Ma, J.-H","venue":null,"work_id":"25eed4d9-03f1-47c8-9c88-15b47596f717","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:91727dbfbd13d8192aeafaf2e8161bf7c15b22cb9af77b72f9aff2c4f2ec35e4","observation_id":"9393590f-44b3-4a2f-a7b7-d2ba8426c6f9","resolution":{"observed_at":"2026-05-25T07:50:29.636254Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Guo and S","venue":null,"work_id":"9e8aaed5-c83c-4c02-b363-65222eb0e0d0","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:c28299fedb770cd449256281767c248b5ab3f9748ca1d2af805742b823fbfabb","observation_id":"45cd5349-e1c3-47d7-a2a0-404f8ea97a04","resolution":{"observed_at":"2026-05-25T07:50:29.652698Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"852481cc-5af6-4c23-8004-00220ea33a1c","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:c38cd29e9676dc3942102275dad868ae1938b07091bc6e3f56dc46c43d4d1581","observation_id":"dfe25605-a8e1-429a-9bbe-dba19a0f3ec1","resolution":{"observed_at":"2026-05-25T07:50:29.672783Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Sang and T","venue":null,"work_id":"8dfbb12f-fdf5-482d-9f97-816e71569bf9","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:162af7a61c6b70718367f99440638532193ddce04233608e2afb48b53cc61b22","observation_id":"3a422876-349d-473b-910a-e6ddfe6b10d2","resolution":{"observed_at":"2026-05-25T07:50:29.609667Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2506.04221","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T12:48:11.159257Z","title":"Topo- logical mixed states: Axiomatic approaches and phases of matter","venue":null,"work_id":"7de46cb6-450c-4d11-b4c8-a75ec9422700","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:a760776873c952b55bf248c2d9a034949bd6d6bcf1b83a07b4e99c53d0a926ba","observation_id":"105dc229-b035-478e-9460-3329a292b40b","resolution":{"observed_at":"2026-05-25T07:50:28.914181Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.02292","last_updated":"2025-07-25T18:39:08Z","snapshot_observed_at":"2026-08-08T00:49:34.815340Z","submitted_at":"2025-07-03T03:59:07Z","title":"Mixed-state phases from local reversibility","version":2},"cited_work":{"arxiv_id":"2507.02292","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.02292","snapshot_observed_at":"2026-07-03T13:18:12.883835Z","title":"Mixed-state phases from local reversibility","venue":null,"work_id":"55cdd57e-0130-4140-a6a0-0fe08c42f11b","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"cited_paper":"/paper/2507.02292","citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:8f004ea4a877df1bc240a24fc3b84b261b3e2d0b0d2f4e7e9e679dffeac80b57","observation_id":"50dd8e82-c3e3-4543-95ed-7f3458a5be2e","resolution":{"observed_at":"2026-05-25T07:50:28.858909Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.02125","last_updated":"2025-05-04T14:15:03Z","snapshot_observed_at":"2026-08-07T15:56:37.586125Z","submitted_at":"2025-05-04T14:15:03Z","title":"R\\'{e}nyi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions","version":1},"cited_work":{"arxiv_id":"2505.02125","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.02125","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a93e683f-fe3c-4ab1-8403-0deee56a5ad7","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"cited_paper":"/paper/2505.02125","citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:1a8c1ea53fc1405ee1b0a1efcd50c8ad69281f4305e650d866bdc3f80a585f4f","observation_id":"7963df86-75ba-4061-835e-379d27734e33","resolution":{"observed_at":"2026-05-25T07:50:28.835245Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2412.16727","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Colmenarez, S","venue":null,"work_id":"42ac4e85-9cab-4ce5-a86b-43daccca1335","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:3e1465462ed4bf5d77461deb7ca1349b178a1bfbdcfd2ba1dcdb32d3a7216adc","observation_id":"99a98ef7-c2a3-411a-99c4-b8a9f78abca1","resolution":{"observed_at":"2026-05-25T07:50:28.852743Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Niwa and J","venue":null,"work_id":"a06465b2-8ae6-4dab-b158-f5e8ed402e80","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:11f5dbf1cbac4859576d8c520ff8ad10436950131a02c8af42cdf48aa2eb3e2a","observation_id":"62e24896-979c-475a-8cd2-d6fe02dc60ac","resolution":{"observed_at":"2026-05-25T07:50:29.595805Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-10T23:27:43.925559Z","title":null,"venue":null,"work_id":"43942159-96ef-4d93-b3c2-4feaba5a44d6","year":2025},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:5bf46f9940bf5e00a4627f6782d4e120e465e0995a5c5665cd9ae45b76f4891b","observation_id":"28433d97-46e0-4a7d-b486-1154779c5e0d","resolution":{"observed_at":"2026-05-25T07:50:29.531100Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2412.01851","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Zhou and C","venue":null,"work_id":"9d78041e-90aa-46be-a64a-4985270a00cd","year":2024},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:ac50132bd25353678fbc9f4f11ae2138d328171777a1f6e8e4fac5b881be3994","observation_id":"63cfaed3-90d2-4d85-ae2d-6687fe69f9e4","resolution":{"observed_at":"2026-05-25T07:50:28.919741Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-08T22:55:41.019927Z","title":null,"venue":null,"work_id":"92864061-51be-4dfa-9abf-e2622ee0499a","year":2021},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:9990b45ce706aca7fd35be537b6375af2a2a1f49a7bcff67b1da47de38f6a9ed","observation_id":"7d77782c-0b65-4803-abaf-d1114096bba1","resolution":{"observed_at":"2026-05-25T07:50:29.592952Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-08T22:55:40.964512Z","title":"Yeh and A","venue":null,"work_id":"5e2405b3-8afd-4b81-853a-3f425ef7223f","year":2024},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:7b61c3482894986080a4584c761e2cd328e4a1ff5aa268b4b806f4ebafc015cc","observation_id":"588acc2c-ddfb-46ef-a02b-c6c3515bde6e","resolution":{"observed_at":"2026-05-25T07:50:29.687970Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-07-11T01:07:52.739082Z","title":"Nahum, S","venue":null,"work_id":"3ef8554e-8f33-4d9c-b590-b77a8aa5da9f","year":2018},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:e7899f6e1adee713a434daeb5ed796d3b10e72f0829e9f3b56632229f14d3c40","observation_id":"d69d9be5-ba32-45c8-9b72-9f3479a2edeb","resolution":{"observed_at":"2026-05-25T07:50:29.598845Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Gautschi,Orthogonal Polynomials: Computation and Approximation(Oxford University Press, 2004)","venue":null,"work_id":"3af75ebf-933d-429d-a588-62e4161e06ac","year":2004},"citing_paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition","version":4},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-05-25T07:50:05.277937Z"},"links":{"citing_paper":"/paper/2510.22542"},"observation_digest":"sha256:d00364818ef82f718f4af396632cc080538dc49ecb59380b470685bac39abe50","observation_id":"a46fd96c-75b7-4c4b-8aaf-41a0706f3071","resolution":{"observed_at":"2026-05-25T07:50:29.605652Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2510.22542","last_updated":"2026-05-22T01:39:25Z","latest_version":4,"primary_category":"quant-ph","snapshot_observed_at":"2026-07-06T22:34:03.489056Z","submitted_at":"2025-10-26T05:46:34Z","title":"Krylov Complexity and Mixed-State Phase Transition"},"reference_resolution":{"displayed":78,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":21,"verified_fuzzy":36},"total_outbound_references":78},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 78 of 78 outbound references and 1 inbound Pith citation observation for arXiv:2510.22542."}