{"as_of":"2026-08-09T12:14:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:305784eab0f761343abbd4fc2482cb6cc3623802588a5571ca28480192a26bbf","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T21:32:31.939387Z","state":"measured"},{"denominator":12,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":12,"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/2608.01770/citation-record","integrity":"/paper/2608.01770/integrity","json":"/paper/2608.01770/citation-record.json","paper":"/paper/2608.01770"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2606.26034","last_updated":"2026-06-24T17:09:20Z","snapshot_observed_at":"2026-07-07T00:00:26.827253Z","submitted_at":"2026-06-24T17:09:20Z","title":"Estimating Fidelity to a Reference Quantum State","version":1},"cited_work":{"arxiv_id":"2606.26034","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.26034","snapshot_observed_at":"2026-08-04T21:32:32.758912Z","title":"Estimating Fidelity to a Reference Quantum State","venue":"quant-ph","work_id":"57019dd6-99e4-489b-9905-39297af8ccac","year":2026},"citing_paper":{"arxiv_id":"2608.01770","last_updated":"2026-08-03T06:43:01Z","snapshot_observed_at":"2026-08-09T09:11:48.338062Z","submitted_at":"2026-08-03T06:43:01Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:30.739383Z"},"links":{"cited_paper":"/paper/2606.26034","citing_paper":"/paper/2608.01770"},"observation_digest":"sha256:548474b627e93b3a88fc94933ee02dda721c977896a3449f0dcb0afad3c7858d","observation_id":"2e6b769e-f7f5-447c-bde7-f71bc3b41279","resolution":{"observed_at":"2026-08-04T21:32:32.852368Z","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":"2026-08-04T21:32:30.801276Z","title":"Utsumi, Y","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.01770","last_updated":"2026-08-03T06:43:01Z","snapshot_observed_at":"2026-08-09T09:11:48.338062Z","submitted_at":"2026-08-03T06:43:01Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:30.801276Z"},"links":{"citing_paper":"/paper/2608.01770"},"observation_digest":"sha256:b270658bfbbe2a68d67f360d9b62212284b0380b32df5a36c226b78c6cc67458","observation_id":"2429864b-d7dd-40d5-bc8b-62e876be9e0e","resolution":{"observed_at":"2026-08-04T21:32:30.801276Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2606.23592","last_updated":"2026-06-22T17:01:22Z","snapshot_observed_at":"2026-08-08T05:15:01.903715Z","submitted_at":"2026-06-22T17:01:22Z","title":"Random dimension reduction and learning symmetric properties of quantum states","version":1},"cited_work":{"arxiv_id":"2606.23592","doi":null,"metadata_source":"pith","pith_arxiv_id":"2606.23592","snapshot_observed_at":"2026-08-04T21:32:32.561417Z","title":"Random dimension reduction and learning symmetric properties of quantum states","venue":"quant-ph","work_id":"44948a20-cfbd-47d2-970d-65097c934b36","year":2026},"citing_paper":{"arxiv_id":"2608.01770","last_updated":"2026-08-03T06:43:01Z","snapshot_observed_at":"2026-08-09T09:11:48.338062Z","submitted_at":"2026-08-03T06:43:01Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:30.897029Z"},"links":{"cited_paper":"/paper/2606.23592","citing_paper":"/paper/2608.01770"},"observation_digest":"sha256:a41af263f1aaed93d178238679b40ac82cfffd5418db0eed2e3a480f05511190","observation_id":"41ed1633-efa4-4f8d-9a53-0112f7c458ce","resolution":{"observed_at":"2026-08-04T21:32:32.624136Z","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":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-09T00:31:10.533450Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.23650","snapshot_observed_at":"2026-08-04T21:32:30.995006Z","title":"Fang and Q","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.01770","last_updated":"2026-08-03T06:43:01Z","snapshot_observed_at":"2026-08-09T09:11:48.338062Z","submitted_at":"2026-08-03T06:43:01Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:30.995006Z"},"links":{"cited_paper":"/paper/2506.23650","citing_paper":"/paper/2608.01770"},"observation_digest":"sha256:113fbe9fd308b35ffa13244092c32908608f90188c623fcb3951adfd8313e8b7","observation_id":"859de3d6-1908-4b89-a3c7-c98125dd78f8","resolution":{"observed_at":"2026-08-04T21:32:30.995006Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.27117","last_updated":"2026-07-29T16:46:05Z","snapshot_observed_at":"2026-08-05T15:20:04.539092Z","submitted_at":"2026-07-29T16:46:05Z","title":"The Keyl-Werner algorithm is not optimal for spectrum estimation","version":1},"cited_work":{"arxiv_id":"2607.27117","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.27117","snapshot_observed_at":"2026-08-04T21:32:32.345340Z","title":"The Keyl-Werner algorithm is not optimal for spectrum estimation","venue":"quant-ph","work_id":"009f1ce3-8532-458e-9c83-465cc9949d9e","year":2026},"citing_paper":{"arxiv_id":"2608.01770","last_updated":"2026-08-03T06:43:01Z","snapshot_observed_at":"2026-08-09T09:11:48.338062Z","submitted_at":"2026-08-03T06:43:01Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:31.124235Z"},"links":{"cited_paper":"/paper/2607.27117","citing_paper":"/paper/2608.01770"},"observation_digest":"sha256:b3653b277f8718f075885f35c8d4044636ec9b999607000542486da860d8c47a","observation_id":"489f8f65-4500-47aa-b28e-e8329b6a54e9","resolution":{"observed_at":"2026-08-04T21:32:32.440759Z","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":"2026-08-04T21:32:31.222883Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.01770","last_updated":"2026-08-03T06:43:01Z","snapshot_observed_at":"2026-08-09T09:11:48.338062Z","submitted_at":"2026-08-03T06:43:01Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:31.222883Z"},"links":{"citing_paper":"/paper/2608.01770"},"observation_digest":"sha256:80af306a3ff2a08845e30b3451009ec6ffafa8436fa631739d1ee9a4505f9495","observation_id":"60e33fd0-54c6-41c3-b65a-89d81368bba0","resolution":{"observed_at":"2026-08-04T21:32:31.222883Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1501.05028","last_updated":"2015-01-21T00:42:29Z","snapshot_observed_at":"2026-08-07T10:00:57.621012Z","submitted_at":"2015-01-21T00:42:29Z","title":"Quantum Spectrum Testing","version":1},"cited_work":{"arxiv_id":"1501.05028","doi":null,"metadata_source":"pith","pith_arxiv_id":"1501.05028","snapshot_observed_at":"2026-08-04T21:32:32.078676Z","title":"Quantum Spectrum Testing","venue":"quant-ph","work_id":"93f2d47d-c62b-4152-a519-3a4539adba0f","year":2015},"citing_paper":{"arxiv_id":"2608.01770","last_updated":"2026-08-03T06:43:01Z","snapshot_observed_at":"2026-08-09T09:11:48.338062Z","submitted_at":"2026-08-03T06:43:01Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:31.325819Z"},"links":{"cited_paper":"/paper/1501.05028","citing_paper":"/paper/2608.01770"},"observation_digest":"sha256:80485235e4689a0e1ee1317ab7a0d528a97f823e961f506460a15d333aaf506f","observation_id":"aaf4e911-2987-419c-ac01-46a2d85bdfb2","resolution":{"observed_at":"2026-08-04T21:32:32.212917Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T21:32:33.568930Z","title":"Keyl and R","venue":null,"work_id":"0e267a05-8342-4993-9fcc-90fc7785d24d","year":2001},"citing_paper":{"arxiv_id":"2608.01770","last_updated":"2026-08-03T06:43:01Z","snapshot_observed_at":"2026-08-09T09:11:48.338062Z","submitted_at":"2026-08-03T06:43:01Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:31.425197Z"},"links":{"citing_paper":"/paper/2608.01770"},"observation_digest":"sha256:f115c04f0a73968b79b0d7a4bdf371ecced50e339472c9509c7c1c006798246a","observation_id":"f8b89eb7-94df-46fb-8841-617506aa4173","resolution":{"observed_at":"2026-08-04T21:32:33.690532Z","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":"2026-08-04T21:32:33.384224Z","title":null,"venue":null,"work_id":"7ce2e4fb-8803-4cc1-9563-dc1d7c9998fd","year":1995},"citing_paper":{"arxiv_id":"2608.01770","last_updated":"2026-08-03T06:43:01Z","snapshot_observed_at":"2026-08-09T09:11:48.338062Z","submitted_at":"2026-08-03T06:43:01Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:31.489526Z"},"links":{"citing_paper":"/paper/2608.01770"},"observation_digest":"sha256:f5acf473177fcc1d94ab8ad178b6604b635a4d5f78c6281ee2cad05951689fbf","observation_id":"a31b5b7f-0adb-48c7-a221-88fff5bd7bde","resolution":{"observed_at":"2026-08-04T21:32:33.445382Z","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":"2026-08-04T21:32:31.626505Z","title":"Graczyk, G","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2608.01770","last_updated":"2026-08-03T06:43:01Z","snapshot_observed_at":"2026-08-09T09:11:48.338062Z","submitted_at":"2026-08-03T06:43:01Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:31.626505Z"},"links":{"citing_paper":"/paper/2608.01770"},"observation_digest":"sha256:b2e2c96b6d6394462cf04307ffb7eb0a0525f51040e7d3f0b65944395b0c05df","observation_id":"d11a8bf4-a3cd-42bf-9f13-294eafb98e81","resolution":{"observed_at":"2026-08-04T21:32:31.626505Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-04T21:32:33.208992Z","title":"Ledoux,The Concentration of Measure Phenomenon, American Mathematical Society, 2001","venue":null,"work_id":"f82cf3be-9b32-445c-a8e4-1cfb1f1a658a","year":2001},"citing_paper":{"arxiv_id":"2608.01770","last_updated":"2026-08-03T06:43:01Z","snapshot_observed_at":"2026-08-09T09:11:48.338062Z","submitted_at":"2026-08-03T06:43:01Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:31.758042Z"},"links":{"citing_paper":"/paper/2608.01770"},"observation_digest":"sha256:0faa02e380cf8ee5291d6f975607d5ed82d4e209060c62b3854bf7f15ab7e5a2","observation_id":"32440382-2792-463a-8229-bcabe1723ed1","resolution":{"observed_at":"2026-08-04T21:32:33.265761Z","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":"2026-08-04T21:32:33.027707Z","title":null,"venue":null,"work_id":"7cac34f8-a592-43d2-a23b-eb8ce31cc095","year":1976},"citing_paper":{"arxiv_id":"2608.01770","last_updated":"2026-08-03T06:43:01Z","snapshot_observed_at":"2026-08-09T09:11:48.338062Z","submitted_at":"2026-08-03T06:43:01Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T21:32:31.939387Z"},"links":{"citing_paper":"/paper/2608.01770"},"observation_digest":"sha256:06d6a9dbe9f85f5e1ad9c6bb741d8454682bc370d4f8a071428e900877e71360","observation_id":"ce2607d2-05ab-48b0-811e-bd51f21b6fe7","resolution":{"observed_at":"2026-08-04T21:32:33.115871Z","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"}}],"paper":{"arxiv_id":"2608.01770","last_updated":"2026-08-03T06:43:01Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-09T09:11:48.338062Z","submitted_at":"2026-08-03T06:43:01Z","title":"The Sample Complexity of Fidelity Estimation to a Known Rank-$r$ Reference State Is $\\widetilde{\\Theta}(r^2/\\varepsilon^2)$"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":4,"verified_fuzzy":2},"total_outbound_references":12},"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 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2608.01770."}