{"as_of":"2026-08-21T16:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8c718044d1619d83392a96cd9d53377d8456be555f0a3eb69faef0fa76b9b584","coverage":[{"denominator":34,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":34,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T21:44:58.772448Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+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":"2026-08-16T04:51:12.120416Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-11T23:08:20.431057Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","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":"2026-08-16T04:51:12.120416Z","title":"Optimal quantum algorithm for estimating fidelity to a pure state","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.00457","last_updated":"2026-06-23T13:23:15Z","snapshot_observed_at":"2026-08-18T00:36:31.783796Z","submitted_at":"2025-05-01T11:15:20Z","title":"On estimating Schatten norm and power distances between quantum states","version":3},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-16T04:51:12.120416Z"},"links":{"cited_paper":"/paper/2506.23650","citing_paper":"/paper/2505.00457"},"observation_digest":"sha256:7c149f9f45dfb82915cf1fb58ee30d286a29a6dc403f132d3d17ba7a72c0e252","observation_id":"5a43b18a-d838-4ee0-a51b-35562ce66d6c","resolution":{"observed_at":"2026-08-16T04:51:12.120416Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","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":"2506.23650","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.23650","snapshot_observed_at":"2026-07-11T23:08:20.431057Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","venue":"quant-ph","work_id":"550293bd-b8d1-45e1-9bee-d4db8a07af10","year":2025},"citing_paper":{"arxiv_id":"2607.03905","last_updated":"2026-07-04T14:59:03Z","snapshot_observed_at":"2026-08-13T21:14:23.624815Z","submitted_at":"2026-07-04T14:59:03Z","title":"On estimating operator norm distance, with optimal trace distance estimation when one state is pure","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-07-11T23:07:42.208429Z"},"links":{"cited_paper":"/paper/2506.23650","citing_paper":"/paper/2607.03905"},"observation_digest":"sha256:081409d3ce537719c025a770e8c542302993879974cf42e2c118bfedcbb8d443","observation_id":"fd27d2e0-c979-4321-bcbc-108e0abf38f0","resolution":{"observed_at":"2026-07-11T23:08:20.436197Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","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":"2026-08-17T05:33:31.617581Z","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":"sha256:5ce1d2e62be26303ea08b5ffde3c91410fbe74a988683f87cee41cc8128bbd42","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":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","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":"2026-08-12T19:50:03.120439Z","title":"Query-optimal and sample-optimal quantum algorithms for estimating fidelity to a pure state","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.10674","last_updated":"2026-08-11T08:55:41Z","snapshot_observed_at":"2026-08-17T05:34:15.994346Z","submitted_at":"2026-08-11T08:55:41Z","title":"Optimal fidelity estimation when one state is pure via algorithmic Uhlmann transform","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-12T19:50:03.120439Z"},"links":{"cited_paper":"/paper/2506.23650","citing_paper":"/paper/2608.10674"},"observation_digest":"sha256:02ecb5d0d2014203ef7cdeb6feb624db24232da4d84ba1044906733aa01b59e8","observation_id":"34e10d8a-730f-4bc4-98cf-5127183df088","resolution":{"observed_at":"2026-08-12T19:50:03.120439Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2506.23650/citation-record","integrity":"/paper/2506.23650/integrity","json":"/paper/2506.23650/citation-record.json","paper":"/paper/2506.23650"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:44:55.578712Z","title":"Distributed quantum inner product estima- tion","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:55.578712Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:990ce4262e959faa1ba923216348e7f240efb64fc0cf06087b4239b8778ebe92","observation_id":"d4a2ea6c-1a67-46e1-8708-871f34f3f014","resolution":{"observed_at":"2026-08-06T21:44:55.578712Z","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":"2026-08-06T21:44:55.649860Z","title":"Quantum lower bounds by polynomials","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:55.649860Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:3d185a28a5c1e205b0ec393b79861e041fa738d9b084631c72ba718c69cc65ee","observation_id":"a126c940-babb-43d9-9518-076bde523954","resolution":{"observed_at":"2026-08-06T21:44:55.649860Z","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":"2026-08-06T21:45:00.679960Z","title":"Quantum algorithms for classical probability distributions","venue":null,"work_id":"3648b7e3-3783-4a6a-ac25-bb08174e62c3","year":2019},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:55.735395Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:8f7c54256220bbb8515bb994be2df8f233e8c3ce68405e278287def7d0b13f50","observation_id":"93a9e901-759d-478e-a0fa-50a85176451d","resolution":{"observed_at":"2026-08-06T21:45:00.740178Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-06T21:45:00.568339Z","title":"Quantum amplitude amplifi- cation and estimation","venue":null,"work_id":"7d8927e8-ea9d-46d3-b5c5-8d8d9169310f","year":null},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:55.804944Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:29f16e7cbdc7eb7dc72a0c231fee1517c3bb00b747e11558ad8c3fcb0946665f","observation_id":"19f0bba4-3233-4148-bbe2-132d24a93993","resolution":{"observed_at":"2026-08-06T21:45:00.614050Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-06T21:44:55.965250Z","title":"Quantum fingerprinting","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:55.965250Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:3dffdfb3319deac1ee51f2b1efebbec3cd29c1d49c6f6a093a171436bdcead16","observation_id":"9376a837-26c1-4503-bc15-1308ef5773d8","resolution":{"observed_at":"2026-08-06T21:44:55.965250Z","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":"2026-08-06T21:44:56.052591Z","title":"Flammia and Yi-Kai Liu","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:56.052591Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:6d93f025c8971c206ec96ab594fe2dbb8337d374d02e5b788f31c1bcd7e5925b","observation_id":"0a0c3686-dd41-419c-a527-943b857d47ab","resolution":{"observed_at":"2026-08-06T21:44:56.052591Z","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":"2026-08-06T21:44:56.135918Z","title":"Distributional property testing in a quantum world","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:56.135918Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:0caa8a21be8b93aec5e510c101b87a0f591b07df2d764b9a1eb39522bd7c0e99","observation_id":"05281fed-2682-4855-9b27-be6ef1c382b3","resolution":{"observed_at":"2026-08-06T21:44:56.135918Z","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":"2026-08-06T21:44:56.222515Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:56.222515Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:33639fe1b36e5aa542278623fce647575fc9cd9ec0502b4597adad2f1c7987f4","observation_id":"70c9fc33-8b2e-4155-9b8e-0abc7bf68cd8","resolution":{"observed_at":"2026-08-06T21:44:56.222515Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.15993","last_updated":"2022-03-30T02:02:16Z","snapshot_observed_at":"2026-08-18T21:44:01.293342Z","submitted_at":"2022-03-30T02:02:16Z","title":"Improved Quantum Algorithms for Fidelity Estimation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.15993","snapshot_observed_at":"2026-08-06T21:44:56.330387Z","title":"Improved quantum algorithms for fidelity estimation","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:56.330387Z"},"links":{"cited_paper":"/paper/2203.15993","citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:cee7d45d70a381f7b4c44686a4da77e2008b26c1cf15705b11f620424e4bb978","observation_id":"374f9bfe-477f-41a9-b11c-960cf56d44dc","resolution":{"observed_at":"2026-08-06T21:44:56.330387Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.11139","last_updated":"2021-11-22T12:00:45Z","snapshot_observed_at":"2026-08-16T17:40:14.570209Z","submitted_at":"2021-11-22T12:00:45Z","title":"Sublinear quantum algorithms for estimating von Neumann entropy","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.11139","snapshot_observed_at":"2026-08-06T21:44:56.464160Z","title":"Sublinear quantum algorithms for estimating von Neumann entropy","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:56.464160Z"},"links":{"cited_paper":"/paper/2111.11139","citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:c24b490d662f54450353b138b1dbabb493fad3b98e3e4abbcf6fea7130de6fee","observation_id":"a23a064b-e036-461e-90ff-7fe5cafdc8cb","resolution":{"observed_at":"2026-08-06T21:44:56.464160Z","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":"2026-08-06T21:44:56.602366Z","title":"Quantum Information Theory: Mathematical Foundation","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:56.602366Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:56ec2196bc0b796a928bac058bf32a22856148288df58540c4f753dc8db4f8c7","observation_id":"243251b2-1bba-47b9-ad7a-c0237c65cc92","resolution":{"observed_at":"2026-08-06T21:44:56.602366Z","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":"2026-08-06T21:44:56.706201Z","title":"Fidelity for mixed quantum states","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:56.706201Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:efa6f3984c9671bf9023c52858678676aa28eaa02205db7fe5bb70fc78a9aa7c","observation_id":"ba545809-d12f-44cd-8141-0a7ba2d5121f","resolution":{"observed_at":"2026-08-06T21:44:56.706201Z","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":"10.4086/cjtcs.2009.003","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Quantum Merlin-Arthur proof systems: are multiple Merlins more helpful to Arthur? Chicago Journal of Theoretical Computer Science, 2009:3, 2009","venue":"Chicago Journal of Theoretical Computer Science","work_id":"ee409a48-b523-4740-b567-d2f1f22b0330","year":2009},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:56.823707Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:6df229f5e9ad7929169c6f0f45e9917f120032f3d519ab81b07a1b7d734c035f","observation_id":"cccb304a-9e95-480e-89ca-7f4c06abaf7e","resolution":{"observed_at":"2026-08-06T21:44:59.214061Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-06T21:45:00.439941Z","title":"Wilde, and Zhicheng Zhang","venue":null,"work_id":"0a7f072f-8788-45be-ba85-4af5ca3bc9c1","year":2025},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:56.933799Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:cac984aef7c63280a49ab7dc1ba3426b5e1c3a700e69c0cb75986c4e64b66f5f","observation_id":"33f104af-fb91-4916-b609-ad9726f3a8a0","resolution":{"observed_at":"2026-08-06T21:45:00.495222Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-06T21:44:56.997031Z","title":"On estimating the trace of quantum state powers","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:56.997031Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:2ea6be8824319767477e7c1ebaecc4cea2ac4c5616afe4ac0572dece25a646d6","observation_id":"e1f2bc15-f9fd-482e-b910-b9ee768361dd","resolution":{"observed_at":"2026-08-06T21:44:56.997031Z","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":"2026-08-06T21:44:57.084831Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:57.084831Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:86b482c7053361120cd1f0b263692160dffe4e50c57f95aaa0d59b71349544db","observation_id":"eaa68dbe-aa5d-4559-b805-bcfcd397938b","resolution":{"observed_at":"2026-08-06T21:44:57.084831Z","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":"2026-08-06T21:44:57.194857Z","title":"A survey of quantum property testing","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:57.194857Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:e43dbe4b294c309f7f37176eaa2e390629ddc71dabb6a048d4e3b0feccfe6a44","observation_id":"e1c927dc-cd34-404f-8076-6c26c4cfd293","resolution":{"observed_at":"2026-08-06T21:44:57.194857Z","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":"1250.30134","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:44:59.865604Z","title":"The quantum query complexity of approximating the median and related statistics","venue":null,"work_id":"e83670ef-c4ed-413f-afa8-cea1ef3234fc","year":1999},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:57.279783Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:ed79bb3129bdc15ec055992b9ac25aea9c081a26f6669af5fc5c7043d0c3ae60","observation_id":"9717ac5c-5483-481d-a9dd-14a2e24de7f2","resolution":{"observed_at":"2026-08-06T21:44:59.901843Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-06T21:45:00.316661Z","title":"Nielsen and Isaac L","venue":null,"work_id":"8996434c-49f0-43d1-8c4f-c17768c80faa","year":2010},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:57.389492Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:ba189d5fb7e1061705956c977e216ff6c4925cf19df56d820c7712e93c633ded","observation_id":"47e6abc3-fd02-42fe-bf9c-387f5cd14b01","resolution":{"observed_at":"2026-08-06T21:45:00.379855Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/978-981-96-0668-9_16","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T00:03:45.533247Z","title":"A survey: SW AP test and its applications to quantum complexity theory","venue":null,"work_id":"f1d9f964-c5ef-4b39-8ed4-4c1a4a771eb5","year":2025},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:57.532864Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:595db9bad58c7c78259d0b0b4dc6adddda9fd3b4ec064e5f65a20ac27a3e63fd","observation_id":"9990023a-ec11-4ce1-bc3a-cceb3f3402e5","resolution":{"observed_at":"2026-08-06T21:44:59.021090Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-06T21:44:57.600588Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:57.600588Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:0a0cf6196ab7de2b404d3d9478a27a69129e9ba996f9ecb4898a20177ba9ae9d","observation_id":"446cbb12-331b-4b56-bd91-fa97828a3b5e","resolution":{"observed_at":"2026-08-06T21:44:57.600588Z","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":"2026-08-06T21:45:00.170558Z","title":"Quantum algorithm for estimating α- renyi entropies of quantum states","venue":null,"work_id":"a745ecda-92e8-4959-a674-cb8c54ec0c06","year":2021},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:57.691659Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:407110e067e7bcbcbc33bab9f7f6a3edf8e51fa71ee7dc61a7657ac06287c917","observation_id":"720f27fc-65b0-434b-8ed2-8dc789e155b7","resolution":{"observed_at":"2026-08-06T21:45:00.233833Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-06T21:44:57.778347Z","title":"transition probability","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:57.778347Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:3368b391d6bbdbd56fc929e693cc2e7e362c2d508d196784cc0cba73ff6cb11b","observation_id":"3fb1f0a4-cc5d-4ccd-92a4-b13eab0b6b63","resolution":{"observed_at":"2026-08-06T21:44:57.778347Z","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":"2026-08-06T21:44:57.872593Z","title":"Optimal trace distance and fidelity estimations for pure quantum states","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:57.872593Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:21e35e029dfb0adf6a08b9b371526c7ea276ef5b0929163be28dc5cace25fb87","observation_id":"87a5209b-7d71-4c74-b8c4-44d13a1f803e","resolution":{"observed_at":"2026-08-06T21:44:57.872593Z","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":"2026-08-06T21:44:57.957528Z","title":"New quantum algorithms for computing quantum entropies and distances.IEEE Transactions on Information Theory, 70(8):5653–5680, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:57.957528Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:0344c85666f561261fb17d813729b7120d6a43ee0bdb51252f795001c1f0d726","observation_id":"ed893059-6f3d-4f19-8b9b-f9f71e2a6cad","resolution":{"observed_at":"2026-08-06T21:44:57.957528Z","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":"2026-08-06T21:44:58.060012Z","title":"Fast quantum algorithms for trace distance estimation","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:58.060012Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:7f04890da21479bb5ef8ebd52e4d2d1eba1387813916bf9b14298a7c71c8a16e","observation_id":"506e6206-5aed-48ba-809d-8de96f9c870a","resolution":{"observed_at":"2026-08-06T21:44:58.060012Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.21201","last_updated":"2026-07-06T15:50:32Z","snapshot_observed_at":"2026-08-20T19:35:58.638556Z","submitted_at":"2024-10-28T16:48:21Z","title":"Sample-Optimal Quantum Estimators for Pure-State Trace Distance and Fidelity via Samplizer","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.21201","snapshot_observed_at":"2026-08-06T21:44:58.150329Z","title":"Sample-optimal quantum estimators for pure-state trace distance and fidelity via samplizer","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:58.150329Z"},"links":{"cited_paper":"/paper/2410.21201","citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:182799f6e7f90bbd6a3e040bc14348266d6b51e4ebe32e7960692b094322c3cf","observation_id":"380db559-7441-4e05-be9e-b231e81f5a02","resolution":{"observed_at":"2026-08-06T21:44:58.150329Z","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":"2022.32039","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T21:44:59.572018Z","title":"Quantum algorithm for fidelity estimation","venue":null,"work_id":"0045a68c-d0bc-49f4-a8b8-ab1c62a0a102","year":2023},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:58.242423Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:249e71a424305d9113a741e45105cbcc0a06bf5f924cf5fcf322d1c222a0cdab","observation_id":"f22c0d13-4d30-454d-bd86-4fd6167e9c78","resolution":{"observed_at":"2026-08-06T21:44:59.638059Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+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":"2026-08-06T21:44:58.350575Z","title":"A quantum algorithm framework for discrete probability distributions with applications to R´ enyi entropy estimation","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:58.350575Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:c49099dcc47bc73510f0042eea4db932306073814ac0e3beaceca0d4bc73cbd2","observation_id":"53537401-ee2b-47c5-9fec-0a59af103437","resolution":{"observed_at":"2026-08-06T21:44:58.350575Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2002.11819","last_updated":"2020-02-26T22:06:15Z","snapshot_observed_at":"2026-08-12T23:24:35.047310Z","submitted_at":"2020-02-26T22:06:15Z","title":"The Trigger Mechanism of Recurrent Solar Active Region Jets Revealed by the Magnetic Properties of a Coronal Geyser Site","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2002.11819","snapshot_observed_at":"2026-08-06T21:44:58.477228Z","title":"Limits on the power of quantum statistical zero-knowledge","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:58.477228Z"},"links":{"cited_paper":"/paper/2002.11819","citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:69ea1285859d59a841fcd0a47648336508b1002353b52d9cabee222b2500dfe5","observation_id":"60cbe4a2-07d4-4068-a4b3-2aabcffad485","resolution":{"observed_at":"2026-08-06T21:44:58.477228Z","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":"2026-08-06T21:44:58.593511Z","title":"Zero-knowledge against quantum attacks","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:58.593511Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:29e6f74de99b724dba7427f764d5fdb9aca03e190e343736249ebb1be7aaef4a","observation_id":"e41feed9-5a99-429a-8f30-d7f022e54b4b","resolution":{"observed_at":"2026-08-06T21:44:58.593511Z","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":"2026-08-06T21:44:58.687473Z","title":"The Theory of Quantum Information","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:58.687473Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:dde3be6b98435c73a9c077ebd64c6099366913a5c15793b0d6db5099d9573610","observation_id":"6abaab59-07f3-4c25-a8ef-59c9987d4a03","resolution":{"observed_at":"2026-08-06T21:44:58.687473Z","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":"2026-08-06T21:44:58.772448Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:58.772448Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:c55257c8bd7dd622aec10a0ac252124846b10bbb259246c1f008985086180c0a","observation_id":"a0d3b8ee-7a93-4fa7-bc6c-a4a492671097","resolution":{"observed_at":"2026-08-06T21:44:58.772448Z","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":"2026-08-06T21:44:55.880100Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State","version":2},"reference_index":2002,"source":"pdf_text","source_observed_at":"2026-08-06T21:44:55.880100Z"},"links":{"citing_paper":"/paper/2506.23650"},"observation_digest":"sha256:9d896fc091a7d22429fa566da2dfd185d7cd4f9bb9a91d977afd7965b6d066fc","observation_id":"2428591e-e545-4813-80ee-db15e45e6f95","resolution":{"observed_at":"2026-08-06T21:44:55.880100Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2506.23650","last_updated":"2026-07-02T17:48:49Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-18T21:44:36.423798Z","submitted_at":"2025-06-30T09:24:03Z","title":"Query-Optimal and Sample-Optimal Quantum Algorithms for Estimating Fidelity to a Pure State"},"reference_resolution":{"displayed":34,"state_counts":{"malformed_identifier":3,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":24,"verified_exact":2,"verified_fuzzy":3},"total_outbound_references":34},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 4 inbound Pith citation observations for arXiv:2506.23650."}