{"as_of":"2026-08-08T13:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:06485f9f61eaf33eccadecfe0250f5f709a617eb535a8199302de23f65255a0e","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T10:54:50.753395Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":2,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2101.03256","last_updated":"2021-02-08T19:32:02Z","snapshot_observed_at":"2026-07-06T10:31:09.519606Z","submitted_at":"2021-01-08T23:34:26Z","title":"Towards Optimal Transport for Quantum Densities","version":2},"cited_work":{"arxiv_id":"2101.03256","doi":"10.48550/arxiv.2101.03256","metadata_source":"arxiv_reference","pith_arxiv_id":"2101.03256","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"T owards optimal transport for quantum densities","venue":"arXiv (Cornell University)","work_id":"4fc91d53-0907-4a68-bbcd-87c37637146e","year":2021},"citing_paper":{"arxiv_id":"2501.08066","last_updated":"2026-04-27T16:06:21Z","snapshot_observed_at":"2026-07-06T20:20:51.583343Z","submitted_at":"2025-01-14T12:29:05Z","title":"Wasserstein distances and divergences of order $p$ by quantum channels","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-23T05:25:45.827220Z"},"links":{"cited_paper":"/paper/2101.03256","citing_paper":"/paper/2501.08066"},"observation_digest":"sha256:07d49005200a08cfbe10b714375338b367d80c8140a0262f8198456cd9e61ba0","observation_id":"708657f3-a936-46dc-961f-7a54b76b8d48","resolution":{"observed_at":"2026-05-23T05:27:36.080704Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.03256","last_updated":"2021-02-08T19:32:02Z","snapshot_observed_at":"2026-07-06T10:31:09.519606Z","submitted_at":"2021-01-08T23:34:26Z","title":"Towards Optimal Transport for Quantum Densities","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.03256","snapshot_observed_at":"2026-08-07T10:54:50.753395Z","title":"Towards Optimal Transport for Quantum Densities","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.04197","last_updated":"2025-06-04T17:42:33Z","snapshot_observed_at":"2026-08-07T10:43:42.291543Z","submitted_at":"2025-06-04T17:42:33Z","title":"Transportation cost and contraction coefficient for channels on von Neumann algebras","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T10:54:50.753395Z"},"links":{"cited_paper":"/paper/2101.03256","citing_paper":"/paper/2506.04197"},"observation_digest":"sha256:ddd946387324f63dd89db2af50617290327df378070a845607dbad84987fd62f","observation_id":"8cf1c7a1-d178-4a63-b4f8-2913f71b0f36","resolution":{"observed_at":"2026-08-07T10:54:50.753395Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.03256","last_updated":"2021-02-08T19:32:02Z","snapshot_observed_at":"2026-07-06T10:31:09.519606Z","submitted_at":"2021-01-08T23:34:26Z","title":"Towards Optimal Transport for Quantum Densities","version":2},"cited_work":{"arxiv_id":"2101.03256","doi":"10.48550/arxiv.2101.03256","metadata_source":"arxiv_reference","pith_arxiv_id":"2101.03256","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"T owards optimal transport for quantum densities","venue":"arXiv (Cornell University)","work_id":"4fc91d53-0907-4a68-bbcd-87c37637146e","year":2021},"citing_paper":{"arxiv_id":"2506.09794","last_updated":"2025-06-11T14:39:33Z","snapshot_observed_at":"2026-07-06T21:40:26.217708Z","submitted_at":"2025-06-11T14:39:33Z","title":"Wasserstein Distances on Quantum Structures: an Overview","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-19T09:29:43.711186Z"},"links":{"cited_paper":"/paper/2101.03256","citing_paper":"/paper/2506.09794"},"observation_digest":"sha256:104cb14c5f406f26066774cf3fa0a55b28314b9fcdda9f32a8ba61b5bc59128f","observation_id":"6f55830e-43d4-4281-b693-f0c5c30c6722","resolution":{"observed_at":"2026-05-19T09:32:16.419069Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.03256","last_updated":"2021-02-08T19:32:02Z","snapshot_observed_at":"2026-07-06T10:31:09.519606Z","submitted_at":"2021-01-08T23:34:26Z","title":"Towards Optimal Transport for Quantum Densities","version":2},"cited_work":{"arxiv_id":"2101.03256","doi":"10.48550/arxiv.2101.03256","metadata_source":"arxiv_reference","pith_arxiv_id":"2101.03256","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"T owards optimal transport for quantum densities","venue":"arXiv (Cornell University)","work_id":"4fc91d53-0907-4a68-bbcd-87c37637146e","year":2021},"citing_paper":{"arxiv_id":"2506.14523","last_updated":"2026-02-12T19:50:05Z","snapshot_observed_at":"2026-08-07T08:37:51.891241Z","submitted_at":"2025-06-17T13:50:13Z","title":"Quantum Wasserstein distance and its relation to several types of fidelities","version":6},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-19T09:09:46.620870Z"},"links":{"cited_paper":"/paper/2101.03256","citing_paper":"/paper/2506.14523"},"observation_digest":"sha256:2a74ed94bc72160e74c288afa954687592f71a81cf784a157b5fb62ea9a500b0","observation_id":"2a62fe42-b488-4fa8-8dcf-b87653e286da","resolution":{"observed_at":"2026-05-19T09:12:14.803600Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.03256","last_updated":"2021-02-08T19:32:02Z","snapshot_observed_at":"2026-07-06T10:31:09.519606Z","submitted_at":"2021-01-08T23:34:26Z","title":"Towards Optimal Transport for Quantum Densities","version":2},"cited_work":{"arxiv_id":"2101.03256","doi":"10.48550/arxiv.2101.03256","metadata_source":"arxiv_reference","pith_arxiv_id":"2101.03256","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"T owards optimal transport for quantum densities","venue":"arXiv (Cornell University)","work_id":"4fc91d53-0907-4a68-bbcd-87c37637146e","year":2021},"citing_paper":{"arxiv_id":"2605.03022","last_updated":"2026-05-04T18:00:16Z","snapshot_observed_at":"2026-08-04T13:46:43.991885Z","submitted_at":"2026-05-04T18:00:16Z","title":"General method for obtaining the energy minimum of spin Hamiltonians for separable states","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-08T19:28:34.585270Z"},"links":{"cited_paper":"/paper/2101.03256","citing_paper":"/paper/2605.03022"},"observation_digest":"sha256:a2d7895eeb45170f5472da2c0c09e28c2c8973c0b94fc258d81a50d7b40ae0d8","observation_id":"c1128186-de68-4cf0-9760-508e8494b315","resolution":{"observed_at":"2026-05-09T05:50:28.095357Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.03256","last_updated":"2021-02-08T19:32:02Z","snapshot_observed_at":"2026-07-06T10:31:09.519606Z","submitted_at":"2021-01-08T23:34:26Z","title":"Towards Optimal Transport for Quantum Densities","version":2},"cited_work":{"arxiv_id":"2101.03256","doi":"10.48550/arxiv.2101.03256","metadata_source":"arxiv_reference","pith_arxiv_id":"2101.03256","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"T owards optimal transport for quantum densities","venue":"arXiv (Cornell University)","work_id":"4fc91d53-0907-4a68-bbcd-87c37637146e","year":2021},"citing_paper":{"arxiv_id":"2605.03027","last_updated":"2026-05-04T18:01:04Z","snapshot_observed_at":"2026-07-06T23:16:00.796105Z","submitted_at":"2026-05-04T18:01:04Z","title":"Relations between different definitions of the quantum Wasserstein distance for qubits","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-08T19:16:38.202679Z"},"links":{"cited_paper":"/paper/2101.03256","citing_paper":"/paper/2605.03027"},"observation_digest":"sha256:ab61a5b385bbb23a87ea1671f7ae494d61b7dc19e0062e91aa9156dc86d0b1bd","observation_id":"0f694f08-49ba-407a-8274-d123b2ca2fcb","resolution":{"observed_at":"2026-05-09T05:55:32.304816Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.03256","last_updated":"2021-02-08T19:32:02Z","snapshot_observed_at":"2026-07-06T10:31:09.519606Z","submitted_at":"2021-01-08T23:34:26Z","title":"Towards Optimal Transport for Quantum Densities","version":2},"cited_work":{"arxiv_id":"2101.03256","doi":"10.48550/arxiv.2101.03256","metadata_source":"arxiv_reference","pith_arxiv_id":"2101.03256","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"T owards optimal transport for quantum densities","venue":"arXiv (Cornell University)","work_id":"4fc91d53-0907-4a68-bbcd-87c37637146e","year":2021},"citing_paper":{"arxiv_id":"2606.10075","last_updated":"2026-06-19T14:07:02Z","snapshot_observed_at":"2026-07-06T23:49:17.868841Z","submitted_at":"2026-06-08T18:49:02Z","title":"An algorithm for dynamical quantum optimal transport with applications to quantum chemistry","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-06-27T15:23:52.776770Z"},"links":{"cited_paper":"/paper/2101.03256","citing_paper":"/paper/2606.10075"},"observation_digest":"sha256:10259bf02fdc3d5f5211fdaf9fd8f5c30165b757a1028dc53b35138184d2299d","observation_id":"5e6d1072-4307-4d11-9650-4a073e947f20","resolution":{"observed_at":"2026-06-27T19:01:08.779856Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2101.03256/citation-record","integrity":"/paper/2101.03256/integrity","json":"/paper/2101.03256/citation-record.json","paper":"/paper/2101.03256"},"outbound":[],"paper":{"arxiv_id":"2101.03256","last_updated":"2021-02-08T19:32:02Z","latest_version":2,"primary_category":"math-ph","snapshot_observed_at":"2026-07-06T10:31:09.519606Z","submitted_at":"2021-01-08T23:34:26Z","title":"Towards Optimal Transport for Quantum Densities"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2101.03256."}