{"as_of":"2026-08-09T09:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fa058433fefd7a3e3976abe92f2293ce64c42e5b472b89894e3e864c70c3f02c","coverage":[{"denominator":89,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":89,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T05:25:45.902529Z","state":"measured"},{"denominator":89,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":89,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2608.06326/citation-record","integrity":"/paper/2608.06326/integrity","json":"/paper/2608.06326/citation-record.json","paper":"/paper/2608.06326"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.590436Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.590436Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:82e8b7ca617044a282c4c2543759d577a18711a163cd8828f7c24d4c4d3b0fc4","observation_id":"6cfc822f-0d0e-450c-822b-1eefc8edf883","resolution":{"observed_at":"2026-08-07T05:25:45.590436Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.595008Z","title":"Inspired by our separation ofC σ into unper- turbed, positive, and negative frequency components in Eq","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.595008Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:06179cf14c7c118a9a95b069edd8c9d782935d391aa4707feac9b07ff9da59c5","observation_id":"864fd1bb-097c-456a-b0ee-e7f163ca4796","resolution":{"observed_at":"2026-08-07T05:25:45.595008Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.598878Z","title":"(B20) hints at the existence of a simpler spectral density repre- sentation","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.598878Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:4f80e9cb9947678094bc8529b20d3949292e04ff31313f199c677fd97ed93e5a","observation_id":"5ad9eaad-e6d3-4ab2-aa08-b0e30e06dc2f","resolution":{"observed_at":"2026-08-07T05:25:45.598878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.603981Z","title":"(B26) is given by a sum of delta functions, it satisfies a general sum rule 1 π Z ∞ 0 dϖ ρσ;νλ K (ϖ) = 1 π X ωac>0 wσ;νλ ac = X ωac>0 (pa −p c) [Bν, Bσ,d]ac (Bλ)ca","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.603981Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:d7c1db9892be7d10939c972e3b7dc602186ff609a4047dae4e48e04c4d85bc26","observation_id":"829ceddf-5804-4d40-8a9a-e2891fe59998","resolution":{"observed_at":"2026-08-07T05:25:45.603981Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.608157Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.608157Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:5ce7232f57ff24bbd8214b3a3676ae7333caebcd343decdc71900f1049bdc51e","observation_id":"0e8334da-5f48-4f79-9d4b-31abb1e38fcc","resolution":{"observed_at":"2026-08-07T05:25:45.608157Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.612407Z","title":"To do so, we make use of Eq","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.612407Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:d82e7070d01bceaf06bbfedd9551fa09c3afad1e0c4682923623d59030442390","observation_id":"4db60fcc-2f6a-424c-9695-a95aa57c3a5c","resolution":{"observed_at":"2026-08-07T05:25:45.612407Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.616505Z","title":"(117) for the single- particle matrix elements of the position operator in or- der to derive Eq","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.616505Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:a749ba80ae9ccf0efcf51d6b9d048a2f6586e4714aade06bcabeb9c290fd64e1","observation_id":"37814d0d-9250-4cbc-9c97-5d2b61c87145","resolution":{"observed_at":"2026-08-07T05:25:45.616505Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.620166Z","title":"(126) at zero temperature","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.620166Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:222a50a0e679d083abf59162bf57b4cb619c06b8f7715ec2673a6922a1fa6758","observation_id":"936fa67e-42d0-4054-8d6a-dc3b96cc9c23","resolution":{"observed_at":"2026-08-07T05:25:45.620166Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.623936Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.623936Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:c9e28952fe2f184b1cadce7341b3bcbe190f529d77ec4918e342f844433cc88f","observation_id":"5c6a3264-699f-4f92-91bf-6c8cacefab4a","resolution":{"observed_at":"2026-08-07T05:25:45.623936Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.628505Z","title":null,"venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.628505Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:212b21943bf8613d2056c989e7ddbf833c953c3b474adaab0f874a1a8cba4728","observation_id":"ffc36dbd-5233-4b89-bfb3-b35205c286d0","resolution":{"observed_at":"2026-08-07T05:25:45.628505Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.843807Z","title":"Resta, Macroscopic polarization in crystalline di- electrics: The geometric phase approach, Reviews of Modern Physics66, 899 (1994)","venue":null,"work_id":"823d7b11-3e08-4d35-ad2c-ac83e3a945b4","year":1994},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.632335Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:f5c9672b6e0054b65264e779705a9b49473a8e7b86f2d40f129a229a423244a6","observation_id":"6d62be0a-bbfd-4f35-8935-648e85cbca5f","resolution":{"observed_at":"2026-08-07T05:25:46.847371Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.833380Z","title":"Marzari and D","venue":null,"work_id":"76fc9068-ffae-4bdc-ac56-b5eb8f7edbb3","year":1997},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.636057Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:432da66915376b85c8389140c6647aefba979fe62423e2bc24d5d65ab690c91a","observation_id":"b7e93894-e972-4017-bc0f-98cd92a2d326","resolution":{"observed_at":"2026-08-07T05:25:46.837148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.639944Z","title":"Souza, T","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.639944Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:b2ef1ebda041492844a089e74853448d02d4bde60291ae78398a12be621de7b4","observation_id":"84eef679-347e-4d72-a825-59cd4646626b","resolution":{"observed_at":"2026-08-07T05:25:45.639944Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.643198Z","title":"Onishi and L","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.643198Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:dd1721c822cc5808c0a4e95d39849b8e9efe88bbbccbfed4ea8ae7ee41f17d84","observation_id":"0120320b-2562-4aba-a690-faae40db6a35","resolution":{"observed_at":"2026-08-07T05:25:45.643198Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.646770Z","title":"Verma and R","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.646770Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:374c5770167ef6b391ae90005cb12f95b874438f4365bdf99ef9b6d5b14c8234","observation_id":"f1e34ae6-d071-406c-959f-aaaa90676cc4","resolution":{"observed_at":"2026-08-07T05:25:45.646770Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.650182Z","title":"Ba lut, B","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.650182Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:9c948318d596bd237b4e60748a1c4bc6bcf7c50cfa6738353d3f6511460df866","observation_id":"09cfb696-4304-4451-b314-fb62e67ea0fd","resolution":{"observed_at":"2026-08-07T05:25:45.650182Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.653713Z","title":"Ba lut, B","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.653713Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:80f927977a0475e6e53bbeafdc6cc9e7c97d1bf1ec1f66db93a521d4189c34a3","observation_id":"eae7ee4b-c0a9-40bd-993e-17e7d1e8bd11","resolution":{"observed_at":"2026-08-07T05:25:45.653713Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.14028","last_updated":"2025-07-18T15:54:55Z","snapshot_observed_at":"2026-08-06T16:00:22.493264Z","submitted_at":"2025-07-18T15:54:55Z","title":"Density Matrix Geometry and Sum Rules","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.14028","snapshot_observed_at":"2026-08-07T05:25:45.657191Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.657191Z"},"links":{"cited_paper":"/paper/2507.14028","citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:e5b938bc0ad89ab126c9c31623defbbc0a4cc75099ea9d2f66d23adb78845592","observation_id":"7e80a8d9-9702-4a76-9003-beebbc31d14a","resolution":{"observed_at":"2026-08-07T05:25:45.657191Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.661780Z","title":"Chowdhury, Information, dissipation, and planck- ian optimality, arXiv preprint arXiv:2602.04953 (2026), arXiv:2602.04953","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.661780Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:11d29aeb9702d419fd481d7470f9325d57a37e8e046b8b7490ef3b19f8270130","observation_id":"2bbaa0f8-8ba1-45cf-a420-00ed400d664a","resolution":{"observed_at":"2026-08-07T05:25:45.661780Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.665284Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.665284Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:1e959a033c4ce3d74caab239cbdb6417cc49b2f616f7e253a8bce9b86652fe2d","observation_id":"d31884ae-e7d9-44a3-8457-a2bc1ddd57a1","resolution":{"observed_at":"2026-08-07T05:25:45.665284Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.668740Z","title":"Mendez-Valderrama, D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.668740Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:a3bb180fd0aea3295a8b8838c8f81289170d33716418bda290f645f98aad505a","observation_id":"88290c99-99df-4cd6-8beb-dae556e922ae","resolution":{"observed_at":"2026-08-07T05:25:45.668740Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.671961Z","title":"Peotta and P","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.671961Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:156772788e89327a81040d70b1300013afda3f67276caef8161250b8f5c143c5","observation_id":"c078fe77-6820-4824-9d6e-1f2fd7eb6aee","resolution":{"observed_at":"2026-08-07T05:25:45.671961Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.779487Z","title":"Liang, T","venue":null,"work_id":"8ae866a7-7b1f-4c07-ad28-27896565efb3","year":2017},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.675338Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:d55bde280b62e7311dd3cee3cee7d905e7925810627562b30897c60cc071c9d4","observation_id":"c8601067-1d00-49a2-995e-15b01984f3b9","resolution":{"observed_at":"2026-08-07T05:25:46.783011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.678355Z","title":"T¨ orm¨ a, S","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.678355Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:1ca4f2bf99a9228e87aa216d9a5bb664a8f038ebbae653c99afb0dc3cd4e16e8","observation_id":"5db86d4c-240c-4ee2-9b3c-66ea835b1ad1","resolution":{"observed_at":"2026-08-07T05:25:45.678355Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.763992Z","title":"Herzog-Arbeitman, V","venue":null,"work_id":"a9db6122-65be-4980-b485-8fd836c4e7b9","year":2022},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.681819Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:1ee7a4a15a249a284039aca499c7c6dcf5af59ee129ef185200dd0f53797a0b9","observation_id":"78c097e9-b96a-4b63-9afc-af4a7adec282","resolution":{"observed_at":"2026-08-07T05:25:46.767287Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.754085Z","title":"Huhtinen, J","venue":null,"work_id":"0d4b58cd-2a4e-48c0-8c19-b24fec2b50be","year":2022},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.684972Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:1a5fc75d416d4fecc6ad7a90cc93c73757d73cca64039810770ba8fe16ec963a","observation_id":"04468bf9-8628-4055-af41-c8e7accdbd9d","resolution":{"observed_at":"2026-08-07T05:25:46.757366Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.688401Z","title":"Roy, Band geometry of fractional topological insula- tors, Physical Review B90, 165139 (2014)","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.688401Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:2443542ac6e9dde906060fcda01acf5bab1b2be070fbd4154d0677681f538d62","observation_id":"c25f8cf2-371b-41be-9fea-16de275289e6","resolution":{"observed_at":"2026-08-07T05:25:45.688401Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.691927Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.691927Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:0b33fa9b513fca606908176da1e6756ffcd757cade9534982f04fe0fa1963793","observation_id":"04337bfd-1e94-4e7b-af88-e1a437f5a382","resolution":{"observed_at":"2026-08-07T05:25:45.691927Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.731729Z","title":"Neupert, C","venue":null,"work_id":"9d704d45-e875-4c3d-b4fc-2f8f77e9c787","year":2015},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.695192Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:8e7e8c32a2c6da3673a475a146017c07dd3527d7803c8fa764d3208e8bedd9b3","observation_id":"1e13592f-2013-4dea-98ea-863b095b6616","resolution":{"observed_at":"2026-08-07T05:25:46.735212Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.721232Z","title":null,"venue":null,"work_id":"4a42de36-152d-4b4f-ba45-a3198e221e8c","year":2023},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.698392Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:2d565811f2c05f2046d65d65ba0c189e327d92b39ffe3a8146fdd9ca923590eb","observation_id":"2945d9b1-2d39-4f2f-a506-b43f5a0bede7","resolution":{"observed_at":"2026-08-07T05:25:46.724742Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.701603Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.701603Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:39151d7e30c6801dde95c31ebc838ad25a6e3d3b414cb730ea5a4a1e9e2de3c8","observation_id":"bea9c489-abe0-4e62-8b9d-0b69dc59ac10","resolution":{"observed_at":"2026-08-07T05:25:45.701603Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.705013Z","title":"De Juan, A","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.705013Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:a1f578e3034362551f4c3d4ab6661381eb3f18f9ae66ba3e1e9f5f05d58a2e36","observation_id":"1fc15176-fbe8-4a9d-80bf-7832b9c470ab","resolution":{"observed_at":"2026-08-07T05:25:45.705013Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.708380Z","title":"Flicker, F","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.708380Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:95383cad313783124ab85dc075a4de436213ff3e2561ef5abdfdbfaf93969fef","observation_id":"ff42b301-1819-45d3-b35a-80733d7d240e","resolution":{"observed_at":"2026-08-07T05:25:45.708380Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.712157Z","title":"Morimoto and N","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.712157Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:5a6b686d50a9c5c968732f8c611f90e5d39e3fa4739cdbb4087d5c82c5549813","observation_id":"72c4fcad-a35d-4d84-b08e-8b8d844950fb","resolution":{"observed_at":"2026-08-07T05:25:45.712157Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.715510Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.715510Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:99758c54cebdcc39d97702d4f15ca52f7f80c6fde137b1d9c3913ca58221bf56","observation_id":"f27c9ca6-6b42-4c82-9dfb-0e40702274b9","resolution":{"observed_at":"2026-08-07T05:25:45.715510Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.719186Z","title":"Kaushik and J","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.719186Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:59cd3aeb66f00dc95ea606087847c75ead477fcffbed0e5f051b70b011c0939e","observation_id":"e160146a-6152-4f72-a2a1-ec95fa3fda61","resolution":{"observed_at":"2026-08-07T05:25:45.719186Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.670167Z","title":null,"venue":null,"work_id":"a4d4d6d9-fa86-4831-8d03-ed9811e00831","year":2020},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.722729Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:e628a457dc3abd898430fefcc5f1b5662cb996e37ac9e75aded6c8799928291b","observation_id":"1bf481a7-ffc1-4856-b0ad-f02b5c627a0a","resolution":{"observed_at":"2026-08-07T05:25:46.673517Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.659817Z","title":"Chang, S.-Y","venue":null,"work_id":"1fbb640b-6dea-4310-a209-3aecc4053ac7","year":2017},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.726233Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:ce79e75ae422db1a8e5298c98e658be9e34a60c2880ade47a5328246271a32b7","observation_id":"ab4ea716-8a8c-4d12-99f4-6cf7ca19f798","resolution":{"observed_at":"2026-08-07T05:25:46.663339Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.729676Z","title":"Ahn, G.-Y","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.729676Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:4775288e703ff8b84987f3f27f8c32000665d56dd744ee71097766584ea71328","observation_id":"619704e0-497a-43a2-83f8-5bd889d7835d","resolution":{"observed_at":"2026-08-07T05:25:45.729676Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.733766Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.733766Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:0c7d87bde8c47714a125487ef4e4baaa68b93187c42d752441b0714434054d9f","observation_id":"9765efef-7161-4cbc-a0a5-90181702172f","resolution":{"observed_at":"2026-08-07T05:25:45.733766Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.636959Z","title":"Aversa and J","venue":null,"work_id":"1af616a1-e2dd-4242-8c68-08e8e5dbfb9a","year":1995},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.738142Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:8c5dc705939ac2e5daa51bf78bac44c0ebb183a3d2cf2f6c865f2a4a2fd0e5af","observation_id":"b7d14b9f-9ad4-4684-9de7-c2aa64218949","resolution":{"observed_at":"2026-08-07T05:25:46.640609Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.741640Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.741640Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:f7b7352ca174208c242ab806a278a33764a1ac9c563cec93c8d46cf690d3666d","observation_id":"812c627c-37bf-4f44-b3bb-77c613ad21a3","resolution":{"observed_at":"2026-08-07T05:25:45.741640Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.745179Z","title":"Sodemann and L","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.745179Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:01639c7d28579278b410d22105a29862ba33f8eec1a5370dca33e5294c738a70","observation_id":"2eb26529-fff1-4b93-ac2d-4e5eac6dedcd","resolution":{"observed_at":"2026-08-07T05:25:45.745179Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.748624Z","title":"Matsyshyn and I","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.748624Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:1af0d9f278cae044c177bfae60cff560fbf536f0acad766994af2e5320dffd4a","observation_id":"e4683791-85af-48f5-8296-137633fbfd91","resolution":{"observed_at":"2026-08-07T05:25:45.748624Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.604996Z","title":"Morimoto, S","venue":null,"work_id":"60cf3bda-02e0-456b-9652-642c260a43c4","year":2016},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.751732Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:37d8552a93a6d08eab1b0c9b7387cdc39f943f781fffef37a8b40463cc769b8d","observation_id":"b34a3107-ea8c-44f4-9c47-32513df42180","resolution":{"observed_at":"2026-08-07T05:25:46.608559Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.593966Z","title":"Du, H.-Z","venue":null,"work_id":"12c4f447-c2a3-4157-ac49-cf84245863b4","year":2021},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.755021Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:4c954254b54de60fbf5a80cde360b4fccf7078d97774759c80f51b025abfac42","observation_id":"f0b0ad99-af7d-40bb-99dd-339158e9071f","resolution":{"observed_at":"2026-08-07T05:25:46.597690Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.758045Z","title":"Ortix, Nonlinear hall effect with time-reversal symme- try: Theory and material realizations, Advanced Quan- tum Technologies4, 2100056 (2021)","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.758045Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:55f81209ab2b23fea6d3bb872f140bca09299f96f499b5bbd0c6ae83de002597","observation_id":"693bcc16-7d0b-4e61-bbd0-1c4397267055","resolution":{"observed_at":"2026-08-07T05:25:45.758045Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.576603Z","title":"Nandy and I","venue":null,"work_id":"643cbe7c-d5e8-4e1e-88d8-3e7840763803","year":2019},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.761798Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:a01315345a60228cd87f454d244576763ec18082320b4ae167735fef86a51834","observation_id":"0bc7d81e-9b75-488b-baf3-2d2ab02063c1","resolution":{"observed_at":"2026-08-07T05:25:46.580292Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.764991Z","title":"Ahn, G.-Y","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.764991Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:b2cad4a390011402cd09832fed70502d1583819f5467cf38ac3c22836a943816","observation_id":"9a158176-9953-4e8e-980b-6934e6508d07","resolution":{"observed_at":"2026-08-07T05:25:45.764991Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.02180","last_updated":"2023-03-03T19:01:29Z","snapshot_observed_at":"2026-08-07T21:40:09.571260Z","submitted_at":"2023-03-03T19:01:29Z","title":"Quantum geometry beyond projective single bands","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.02180","snapshot_observed_at":"2026-08-07T05:25:45.768263Z","title":"Bouhon, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.768263Z"},"links":{"cited_paper":"/paper/2303.02180","citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:408f5b1deea79587b3467e59038d50ee10909df549399a50af8bc8b0a2ba4e4b","observation_id":"7704a6e2-2ed1-4b09-9b7a-5b1e1fa2ac17","resolution":{"observed_at":"2026-08-07T05:25:45.768263Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.771947Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.771947Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:7d87e6ca4b22d4f48943f1902fb8a35a7700801f3cd63bd872899165427108ed","observation_id":"31fceff0-c981-4c07-8b3f-2476d6c97a5f","resolution":{"observed_at":"2026-08-07T05:25:45.771947Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.775597Z","title":"Alexandradinata, Quantization of intraband and in- terband Berry phases in the shift current, Physical Re- view B110, 075159 (2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.775597Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:555bef378cb78f3af8958bc664763353c050e7c98ff8a99fb63e0efc7fe8133a","observation_id":"dc032f9f-0adc-4dac-8f41-b93595e70828","resolution":{"observed_at":"2026-08-07T05:25:45.775597Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.778888Z","title":"Zhu and A","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.778888Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:0dc07316bd60b5fce016cda6adad116f2c44d85c9506430b01ed69fe336f8be8","observation_id":"85fceae6-842c-43ef-8d97-0550454cc985","resolution":{"observed_at":"2026-08-07T05:25:45.778888Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.03637","last_updated":"2025-05-22T12:11:10Z","snapshot_observed_at":"2026-07-06T20:01:45.826971Z","submitted_at":"2024-12-04T19:00:00Z","title":"Gauge-invariant projector calculus for quantum state geometry and applications to observables in crystals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.03637","snapshot_observed_at":"2026-08-07T05:25:45.782291Z","title":"Mitscherling, A","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.782291Z"},"links":{"cited_paper":"/paper/2412.03637","citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:fa86a207db3e0a6c44263f751ca2ab4722038f401341fdd3f20b1db9b033e48d","observation_id":"a881fb53-9952-4511-a7a8-88f2c37b6d8b","resolution":{"observed_at":"2026-08-07T05:25:45.782291Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.785927Z","title":"Avdoshkin and F","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.785927Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:782943d39294b2965961820ddf9a226c5353474db065a29a29cfdeccd45e3b61","observation_id":"2697031c-0bc9-40d4-9e41-e72dc97af96a","resolution":{"observed_at":"2026-08-07T05:25:45.785927Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.16358","last_updated":"2025-05-22T12:24:42Z","snapshot_observed_at":"2026-08-07T05:08:15.798029Z","submitted_at":"2024-09-24T18:00:02Z","title":"The multi-state geometry of shift current and polarization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.16358","snapshot_observed_at":"2026-08-07T05:25:45.789189Z","title":"Avdoshkin, J","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.789189Z"},"links":{"cited_paper":"/paper/2409.16358","citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:a891a83b851365e8dcf2f01ef0cba509f278c5aeda126d5e4b0a94ccd3566187","observation_id":"6f832529-061b-4028-9eed-c6d50484877c","resolution":{"observed_at":"2026-08-07T05:25:45.789189Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.792665Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.792665Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:8eb66c58c66e40fbb08823172022e2ef4096cd0314f1b36aac231babbc670f2a","observation_id":"64e9dedd-1cd9-4369-a3db-8b93de964faf","resolution":{"observed_at":"2026-08-07T05:25:45.792665Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.532311Z","title":null,"venue":null,"work_id":"1721db76-e408-4397-aab0-ad113874b0d9","year":2026},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.796737Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:333c86d0e51a5b4d61379324e0d26f9f75fd8270f00186b81c8bc5f9859dd7a7","observation_id":"552e7b3e-6fe7-4356-8aec-dad1b5fd1d1c","resolution":{"observed_at":"2026-08-07T05:25:46.535954Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.520863Z","title":"Guan and B","venue":null,"work_id":"8dbd1174-0b6b-465d-aefc-c4198d93d092","year":2026},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.799961Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:50bc0dcdd4049a7358d354cb3a48b60e86f8bd81a958b1cb6d60919eb5cdeefb","observation_id":"454d619a-316f-4de7-9133-21242a65b1f2","resolution":{"observed_at":"2026-08-07T05:25:46.525005Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2601.01059","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.037626Z","title":null,"venue":null,"work_id":"6fe16f01-1bd8-41be-861d-10150a1ddeb4","year":2026},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.803386Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:2992011c24f0b871e048ac7ebfb13fa221c76c3e0c6807ff3adf56f9b6e2dd72","observation_id":"0e54b187-4d66-4ae2-b9ec-a582b0ab8ad2","resolution":{"observed_at":"2026-08-07T05:25:46.043533Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2606.28509","last_updated":"2026-06-26T18:04:56Z","snapshot_observed_at":"2026-08-02T19:48:15.033572Z","submitted_at":"2026-06-26T18:04:56Z","title":"Vortex-enhanced photovoltaic current in disordered topological materials","version":1},"cited_work":{"arxiv_id":"2606.28509","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.28509","snapshot_observed_at":"2026-08-07T05:25:45.954816Z","title":"Vortex-enhanced photovoltaic current in disordered topological materials","venue":"cond-mat.str-el","work_id":"4a681613-6182-46a3-a7df-92cffb8fdb3d","year":2026},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.806736Z"},"links":{"cited_paper":"/paper/2606.28509","citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:17052f84ae5cc0a5ab535fbfa54082fe0f7b81198629b7e667082257a3a9a21c","observation_id":"1b110f3e-1ddf-40a2-9885-e71e01b13887","resolution":{"observed_at":"2026-08-07T05:25:45.958974Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.810435Z","title":"Het´ enyi and P","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.810435Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:bbc0b4e24dcb64762c93f8cc304b0a60bb5d6ec4203bfd3f51614df76146d101","observation_id":"e8526639-3faf-43ea-b9ce-7f6d37279519","resolution":{"observed_at":"2026-08-07T05:25:45.810435Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.502775Z","title":"Amari and H","venue":null,"work_id":"14f998a9-6db7-4f0e-ad5f-0ae65ab8659d","year":2000},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.814495Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:0e354909c85222de220cf07d9058700c5f17108634f4984ca89a313f142ee972","observation_id":"b258a5e6-16ab-4398-b38e-0de8ccc420f4","resolution":{"observed_at":"2026-08-07T05:25:46.506415Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.491841Z","title":"Hasegawa,α-divergence of the non-commutative in- formation geometry, Reports on Mathematical Physics 33, 87 (1993)","venue":null,"work_id":"49490f2d-3f32-4041-b57b-c3ae02a40238","year":1993},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.817672Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:7d9d5be700c61dc15975a238c3bc52f6b603902eff918fb04410cdcb42a5ce2f","observation_id":"9fc242ce-4b8d-4efe-9bb6-0055eb7f4a8e","resolution":{"observed_at":"2026-08-07T05:25:46.495781Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.481243Z","title":"Hasegawa and D","venue":null,"work_id":"ff05b63f-fc57-4f3f-89a3-1ab245034879","year":null},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.821003Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:aa266b16895794b7e561334b46b3c6e877061be3b45f1d3c7aa328e4bbd7ef45","observation_id":"f1cf02c1-dfed-4d39-91ab-b1494eb8ae4a","resolution":{"observed_at":"2026-08-07T05:25:46.484850Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.470500Z","title":"Nagaoka, Differential geometrical aspects of quantum state estimation and relative entropy, inQuantum Com- munications and Measurement, edited by V","venue":null,"work_id":"8231d000-1c4b-42d6-92db-596d62b43aa0","year":null},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.825154Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:74983bf9202b28ea8c6a2423bde3e03c9b7bcaa49b7c67e50bceb2fea9ed17c3","observation_id":"dc2878ea-991f-43cb-82dc-1ae693040073","resolution":{"observed_at":"2026-08-07T05:25:46.474331Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.388076Z","title":null,"venue":null,"work_id":"5e760e12-6067-413a-bfdd-4869782aae47","year":2004},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.859544Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:6bb5df11b93fe22cd3a5f59917109fcb2dd2bf5103164ad060654c8e8c473cc5","observation_id":"96a51cf7-ce1d-4e93-86d3-9f1b43701072","resolution":{"observed_at":"2026-08-07T05:25:46.391392Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.832445Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.832445Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:c11ba8f8bc49d56f55ebd833cbb95f3e0788fab3f315c5a191da2b6b461b06e1","observation_id":"8ddcc70b-b9db-4be5-bbcb-17f76b35f767","resolution":{"observed_at":"2026-08-07T05:25:45.832445Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.441604Z","title":"Provost and G","venue":null,"work_id":"459bad55-0a2b-4df4-91a1-5d9bc10fd579","year":1980},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.835941Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:ea4b4a87298c748d2795a0c75e7a9fba7d0ea90c7f36e35439e3e5c1cbb6129a","observation_id":"da01c8e5-f12a-4b5e-99c1-7e52fecbb09d","resolution":{"observed_at":"2026-08-07T05:25:46.445571Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.430662Z","title":"Verma, P","venue":null,"work_id":"581ee2ca-220c-4ce2-b4e9-2171e1aa6ea2","year":2026},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.839454Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:9513eeb6578313a5cb649ef8b4ce57ac0c5a7c89e966380f2f8669082ccad43b","observation_id":"98b5d821-7528-4d73-8722-ed0d71a3cdde","resolution":{"observed_at":"2026-08-07T05:25:46.433875Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.842727Z","title":"Bengtsson and K","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.842727Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:0fe48a3b874077a1124619b192d157ed62541e66586f386e54c0f4e8662df72f","observation_id":"28345146-c3eb-435d-a7cc-3e4a73606a7b","resolution":{"observed_at":"2026-08-07T05:25:45.842727Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.845955Z","title":"Uhlmann, The metric of Bures and the geometric phase, Quantum groups and related topics , 267 (1992)","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.845955Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:b05f1bb559686acd9b7765fce12c8e2411a7851bcf4c21d305c63b2925b3ed76","observation_id":"be365b3f-a44d-432e-9f45-bd2bce14d33b","resolution":{"observed_at":"2026-08-07T05:25:45.845955Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.849079Z","title":"Uhlmann, Geometric phases and related structures, Reports on Mathematical Physics36, 461 (1995)","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.849079Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:fa2b3872b66dbff7d71fef1c2729c18ee7e0599ac3559cc0094d52fb46879c35","observation_id":"d3c8c87b-3636-4159-9f61-0519bb639a0d","resolution":{"observed_at":"2026-08-07T05:25:45.849079Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.852345Z","title":"Carollo, D","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.852345Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:c628a88b6fb897b6cbb91a2a971c7e704e0780e3e9dd6230f43486d469fcb63b","observation_id":"7c6bb791-2a92-4a70-b3a3-b317061da61e","resolution":{"observed_at":"2026-08-07T05:25:45.852345Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.855573Z","title":"Nakahara,Geometry, topology and physics(CRC press, 2018)","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.855573Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:fdc4b5878132d839ea997a70b7f685bd97875efdec1813d241a5ccba1284eb80","observation_id":"c9c7fe19-2983-4579-8a84-45353ceba8fd","resolution":{"observed_at":"2026-08-07T05:25:45.855573Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.313113Z","title":null,"venue":null,"work_id":"8ea948d3-f8b5-4c72-940f-0b49cb0b3f87","year":1962},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.888553Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:f266f1760aa08a548e335c7401bfdbf54eb1984b642775527a6fd61950d121f7","observation_id":"af1848a9-e37e-4339-aafa-bb43d9006b05","resolution":{"observed_at":"2026-08-07T05:25:46.317197Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.378440Z","title":"Shimada, K","venue":null,"work_id":"af5c78b6-1017-4101-a58c-df56424147b1","year":2019},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.862930Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:56e4773aca67067d7771c7ea450ed5cc5d51815716adb3c12d74e8880537bb17","observation_id":"1076fe8d-01f3-4877-968b-6cc6c2cfce6f","resolution":{"observed_at":"2026-08-07T05:25:46.381891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.368849Z","title":null,"venue":null,"work_id":"c48323b3-2efa-4c07-b0be-2b07237fd105","year":null},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.866053Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:120d6123021581835006f568c0fad19e2ec569db7f6e5a359b2ee58c0cd9f1a2","observation_id":"3032433c-239c-46b0-9987-fd94ecb30262","resolution":{"observed_at":"2026-08-07T05:25:46.372211Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.358934Z","title":"Iosifidis and K","venue":null,"work_id":"ec17c1c8-22b8-46c4-a867-b1dccf11f057","year":2023},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.869425Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:b36ac09a6483c1c7bcf1f3678970268f146352fcbe136eedfaa811dad11743d4","observation_id":"3e079e8c-31fa-40b4-bec2-19b78dd80f94","resolution":{"observed_at":"2026-08-07T05:25:46.362125Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.872457Z","title":"Bradlyn and P","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.872457Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:b49b121d6e06745dc893ef1367d5a1bda71614304e81f0642ec37078a0a06eb1","observation_id":"0164dbbb-6c07-4389-b10e-6c6238e0c3c7","resolution":{"observed_at":"2026-08-07T05:25:45.872457Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.875566Z","title":"Resta, Geometrical theory of the shift current in pres- ence of disorder and interaction, Physical Review Letters 133, 206903 (2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.875566Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:2eb5e21283b2f766c67c47c5354ace60fb328796e70b706f1666186a3b6e9491","observation_id":"994cb572-30ad-494d-ab33-e776ff65a84f","resolution":{"observed_at":"2026-08-07T05:25:45.875566Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.878608Z","title":"von Baltz and W","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.878608Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:ca7e969b70245bb9639fbc41716bd69a7a95861d9e7115696cd7eef97ef07842","observation_id":"c2676c74-5d08-4f0a-8ab9-9b574fc1c515","resolution":{"observed_at":"2026-08-07T05:25:45.878608Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.329794Z","title":"Nastos and J","venue":null,"work_id":"643501c1-d9c9-4ed1-b5c4-aaf8aaf31224","year":2006},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.881880Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:5fa5e91bd2445f7bb69eaae36f801092e05fb09d581586e3785de90618b667ab","observation_id":"b0b7cd1c-a663-4f1e-8e0c-75916c12bf03","resolution":{"observed_at":"2026-08-07T05:25:46.333295Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.885352Z","title":null,"venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.885352Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:674bbf2fabe623cc86235c5deea050d18f122420919700240899bf4978388191","observation_id":"0d77938c-5369-4dfa-b961-1c83fc2c7914","resolution":{"observed_at":"2026-08-07T05:25:45.885352Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.892085Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.892085Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:c59441f70e2b676267401e2429ea8f953dd1b0aadcdd459bdecf50f50bf6adec","observation_id":"96b9bd8c-e469-454f-9170-98538d9e22c9","resolution":{"observed_at":"2026-08-07T05:25:45.892085Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.12071","last_updated":"2020-09-23T12:16:03Z","snapshot_observed_at":"2026-07-06T09:31:19.187163Z","submitted_at":"2020-06-22T08:46:13Z","title":"Spin Hall conductivity in insulators with non-conserved spin","version":2},"cited_work":{"arxiv_id":"2006.12071","doi":null,"metadata_source":"pith","pith_arxiv_id":"2006.12071","snapshot_observed_at":"2026-08-07T05:25:45.935197Z","title":"Spin Hall conductivity in insulators with non-conserved spin","venue":"cond-mat.mes-hall","work_id":"c976dcc5-b4fa-4af8-a7ef-934ef4775d1e","year":2020},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.895310Z"},"links":{"cited_paper":"/paper/2006.12071","citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:4ccc7563a0fc261f9fc7531b7f6be8e576066820115c16ce486c133eb3cb82d3","observation_id":"6d1d9f34-e2cf-42f6-a687-3b595656eb77","resolution":{"observed_at":"2026-08-07T05:25:45.941604Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.899038Z","title":"Souza, R","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.899038Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:ddbae251394e6f9203b30de0351fb7b1b44af3029bfaee4896fd2278a1f3e88e","observation_id":"abc89671-51c3-4a6b-bceb-f1fc503d9f02","resolution":{"observed_at":"2026-08-07T05:25:45.899038Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:45.902529Z","title":"Patankar, L","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.902529Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:9e6d119bb43a380690972332919f50c82ca6f0539326d5cbc3451c2a5597523f","observation_id":"603b60e7-9c3b-49e1-8da4-c14b3a72fb0e","resolution":{"observed_at":"2026-08-07T05:25:45.902529Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T05:25:46.459605Z","title":"449–452, extended version: METR 94-14, De- partment of Mathematical Engineering and Instrumen- tation Physics, University of Tokyo","venue":null,"work_id":"70d3e328-aa9f-45ec-a5e5-1c2b9a459a64","year":null},"citing_paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules","version":1},"reference_index":1995,"source":"pdf_text","source_observed_at":"2026-08-07T05:25:45.828598Z"},"links":{"citing_paper":"/paper/2608.06326"},"observation_digest":"sha256:38093583ef910c0a5996e653cc9ab37c8a33ec03ad74605fc067964c2071aa04","observation_id":"e02de30f-1e0c-4207-8133-834ce3ffd50e","resolution":{"observed_at":"2026-08-07T05:25:46.463427Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.06326","last_updated":"2026-08-06T17:38:53Z","latest_version":1,"primary_category":"cond-mat.mes-hall","snapshot_observed_at":"2026-08-09T09:12:20.857267Z","submitted_at":"2026-08-06T17:38:53Z","title":"Multi-State Geometry of Density Matrices and Rectification Sum Rules"},"reference_resolution":{"displayed":89,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":64,"verified_exact":3,"verified_fuzzy":22},"total_outbound_references":89},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 89 of 89 outbound references and 0 inbound Pith citation observations for arXiv:2608.06326."}