{"as_of":"2026-08-14T09:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bb9d006e66d1e74e755a05309367db52a5699295d52d0faccaaa3545358c442a","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T22:32:28.968547Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-19T09:32:16.373366Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2306.12944","last_updated":"2023-12-22T16:21:11Z","snapshot_observed_at":"2026-08-14T03:23:34.375045Z","submitted_at":"2023-06-22T14:59:58Z","title":"Quantum Optimal Transport and Weak Topologies","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.12944","snapshot_observed_at":"2026-08-10T22:32:28.968547Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.01381","last_updated":"2025-02-21T20:08:55Z","snapshot_observed_at":"2026-08-13T13:34:04.416901Z","submitted_at":"2025-01-02T17:52:06Z","title":"Commutator Estimates and Quantitative Local Weyl's Law for Schr\\\"odinger Operators with Non-Smooth Potentials","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T22:32:28.968547Z"},"links":{"cited_paper":"/paper/2306.12944","citing_paper":"/paper/2501.01381"},"observation_digest":"sha256:0b80c46646a34b186d26250b0b02c0e76cc68e971adadd0ea2b69833f71d8e93","observation_id":"ba68c8a4-8104-474e-9cb3-3e93bd698d6d","resolution":{"observed_at":"2026-08-10T22:32:28.968547Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.12944","last_updated":"2023-12-22T16:21:11Z","snapshot_observed_at":"2026-08-14T03:23:34.375045Z","submitted_at":"2023-06-22T14:59:58Z","title":"Quantum Optimal Transport and Weak Topologies","version":3},"cited_work":{"arxiv_id":"2306.12944","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.12944","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Quantum Optimal Transport and Weak Topologies","venue":null,"work_id":"055fe292-4ef8-494e-a94d-595ca0b3cc59","year":2023},"citing_paper":{"arxiv_id":"2506.09794","last_updated":"2025-06-11T14:39:33Z","snapshot_observed_at":"2026-08-12T19:41:38.602834Z","submitted_at":"2025-06-11T14:39:33Z","title":"Wasserstein Distances on Quantum Structures: an Overview","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-05-19T09:29:43.711186Z"},"links":{"cited_paper":"/paper/2306.12944","citing_paper":"/paper/2506.09794"},"observation_digest":"sha256:cc5b5f7e64ef5a27016d41708e5c9ad36832ebc3000244276674355409c33986","observation_id":"957628e7-d628-4a00-850d-0df4005cc524","resolution":{"observed_at":"2026-05-19T09:32:16.377086Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.12944","last_updated":"2023-12-22T16:21:11Z","snapshot_observed_at":"2026-08-14T03:23:34.375045Z","submitted_at":"2023-06-22T14:59:58Z","title":"Quantum Optimal Transport and Weak Topologies","version":3},"cited_work":{"arxiv_id":"2306.12944","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.12944","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Quantum Optimal Transport and Weak Topologies","venue":null,"work_id":"055fe292-4ef8-494e-a94d-595ca0b3cc59","year":2023},"citing_paper":{"arxiv_id":"2506.14523","last_updated":"2026-02-12T19:50:05Z","snapshot_observed_at":"2026-08-12T16:27:17.778589Z","submitted_at":"2025-06-17T13:50:13Z","title":"Quantum Wasserstein distance and its relation to several types of fidelities","version":6},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-19T09:09:46.620870Z"},"links":{"cited_paper":"/paper/2306.12944","citing_paper":"/paper/2506.14523"},"observation_digest":"sha256:28e7f42438be397ab8f8ebc14976bd3d1aef70961e4bac2e3764fd2025a12e9c","observation_id":"484ad5f9-edab-4e17-8128-08412eef7213","resolution":{"observed_at":"2026-05-19T09:12:14.797597Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.12944","last_updated":"2023-12-22T16:21:11Z","snapshot_observed_at":"2026-08-14T03:23:34.375045Z","submitted_at":"2023-06-22T14:59:58Z","title":"Quantum Optimal Transport and Weak Topologies","version":3},"cited_work":{"arxiv_id":"2306.12944","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.12944","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Quantum Optimal Transport and Weak Topologies","venue":null,"work_id":"055fe292-4ef8-494e-a94d-595ca0b3cc59","year":2023},"citing_paper":{"arxiv_id":"2605.03027","last_updated":"2026-05-04T18:01:04Z","snapshot_observed_at":"2026-08-10T19:01:02.277922Z","submitted_at":"2026-05-04T18:01:04Z","title":"Relations between different definitions of the quantum Wasserstein distance for qubits","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-08T19:16:38.202679Z"},"links":{"cited_paper":"/paper/2306.12944","citing_paper":"/paper/2605.03027"},"observation_digest":"sha256:6d206db3e7f64fb8a66a79df70a031ef0fb12e492713f766dba137f6dfbd8220","observation_id":"0abaffc8-4bc0-4866-9991-973b1943360d","resolution":{"observed_at":"2026-05-09T05:55:32.276022Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2306.12944/citation-record","integrity":"/paper/2306.12944/integrity","json":"/paper/2306.12944/citation-record.json","paper":"/paper/2306.12944"},"outbound":[],"paper":{"arxiv_id":"2306.12944","last_updated":"2023-12-22T16:21:11Z","latest_version":3,"primary_category":"math.AP","snapshot_observed_at":"2026-08-14T03:23:34.375045Z","submitted_at":"2023-06-22T14:59:58Z","title":"Quantum Optimal Transport and Weak Topologies"},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2306.12944."}