{"as_of":"2026-08-12T20:12:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5539ae4f28714192028a838118771696495090307f724e0b89f4fe36efa1f517","coverage":[{"denominator":13,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":13,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T00:56:32.167210Z","state":"measured"},{"denominator":13,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":13,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2608.07986/citation-record","integrity":"/paper/2608.07986/integrity","json":"/paper/2608.07986/citation-record.json","paper":"/paper/2608.07986"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T00:56:32.436215Z","title":"On the Pure Quantum Polynomial Hierarchy and Quantified Hamiltonian Complexity","venue":null,"work_id":"bd071f97-a51b-4025-8df8-346bc8a4574d","year":2026},"citing_paper":{"arxiv_id":"2608.07986","last_updated":"2026-08-08T07:45:56Z","snapshot_observed_at":"2026-08-12T19:15:21.365549Z","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T00:56:32.146801Z"},"links":{"citing_paper":"/paper/2608.07986"},"observation_digest":"sha256:f38b2f58190c8658fa82ea61b4bff19ac601a7aa1a6bfb5f262ea1747e496be9","observation_id":"ea521a00-bfa7-4e1a-ba43-0d4da7d7b507","resolution":{"observed_at":"2026-08-12T00:56:32.439854Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2608.02590","last_updated":"2026-08-03T17:57:15Z","snapshot_observed_at":"2026-08-08T05:57:52.862317Z","submitted_at":"2026-08-03T17:57:15Z","title":"Optimal Quantum de Finetti Theorems via Argmax Rounding","version":1},"cited_work":{"arxiv_id":"2608.02590","doi":null,"metadata_source":"pith","pith_arxiv_id":"2608.02590","snapshot_observed_at":"2026-08-12T00:56:32.203539Z","title":"Optimal Quantum de Finetti Theorems via Argmax Rounding","venue":"quant-ph","work_id":"ed302486-c4c0-4239-a9bd-ebb97befd5c8","year":2026},"citing_paper":{"arxiv_id":"2608.07986","last_updated":"2026-08-08T07:45:56Z","snapshot_observed_at":"2026-08-12T19:15:21.365549Z","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T00:56:32.156852Z"},"links":{"cited_paper":"/paper/2608.02590","citing_paper":"/paper/2608.07986"},"observation_digest":"sha256:eaee28eabf193411a6861e75faeb1e70798a353c0fe07220476cf7ae1261b6f1","observation_id":"d963c2cd-3bcf-4b29-97ba-fdd8981abe6a","resolution":{"observed_at":"2026-08-12T00:56:32.209400Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2604.27886","last_updated":"2026-07-12T07:49:45Z","snapshot_observed_at":"2026-08-11T12:57:56.410209Z","submitted_at":"2026-04-30T14:04:22Z","title":"The power of unentanglement without destructive interference","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.27886","snapshot_observed_at":"2026-08-12T00:56:32.163737Z","title":"Unentangled stoquastic Merlin-Arthur proof systems: the power of unentanglement without destructive interference.arXiv preprint arXiv:2604.27886,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.07986","last_updated":"2026-08-08T07:45:56Z","snapshot_observed_at":"2026-08-12T19:15:21.365549Z","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T00:56:32.163737Z"},"links":{"cited_paper":"/paper/2604.27886","citing_paper":"/paper/2608.07986"},"observation_digest":"sha256:aa4279afbfdddd96240b54ffc714fd51fb4538ff2b33d23319ef7fb97cb10462","observation_id":"1ff96d37-95f1-4071-8124-75c7f5304116","resolution":{"observed_at":"2026-08-12T00:56:32.163737Z","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":"2026-08-12T00:56:32.167210Z","title":"Testing matrix product states","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.07986","last_updated":"2026-08-08T07:45:56Z","snapshot_observed_at":"2026-08-12T19:15:21.365549Z","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T00:56:32.167210Z"},"links":{"citing_paper":"/paper/2608.07986"},"observation_digest":"sha256:78555f8874ec55adbf651c72c85896a22eeb6c70877cc5fea270ce3f8f198872","observation_id":"ea110a06-2319-4350-b63a-a73562821611","resolution":{"observed_at":"2026-08-12T00:56:32.167210Z","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":"2026-08-12T00:56:32.415025Z","title":"Remarks on the quantum de Finetti theorem for bosonic systems.Applied Mathematics Research eXpress, 2015(1):48– 63,","venue":null,"work_id":"8c2f3d79-635d-4cdc-a662-10784346538a","year":2015},"citing_paper":{"arxiv_id":"2608.07986","last_updated":"2026-08-08T07:45:56Z","snapshot_observed_at":"2026-08-12T19:15:21.365549Z","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs","version":1},"reference_index":2005,"source":"pdf_text","source_observed_at":"2026-08-12T00:56:32.160257Z"},"links":{"citing_paper":"/paper/2608.07986"},"observation_digest":"sha256:bbcbf8aed6729db09bc632f55a600968201f0aea6a87bd87bff884dbd2e3aec0","observation_id":"1c5eb143-3da5-485b-88ef-819d416553a8","resolution":{"observed_at":"2026-08-12T00:56:32.418649Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.16249","last_updated":"2026-05-15T17:52:33Z","snapshot_observed_at":"2026-07-06T23:27:24.957966Z","submitted_at":"2026-05-15T17:52:33Z","title":"The Collapse of Unentangled Stoquastic Merlin-Arthur Proof Systems","version":1},"cited_work":{"arxiv_id":"2605.16249","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.16249","snapshot_observed_at":"2026-08-12T00:56:32.312343Z","title":"The Collapse of Unentangled Stoquastic Merlin-Arthur Proof Systems","venue":"quant-ph","work_id":"c70332a7-8a03-48e4-9576-34a637cedab0","year":2026},"citing_paper":{"arxiv_id":"2608.07986","last_updated":"2026-08-08T07:45:56Z","snapshot_observed_at":"2026-08-12T19:15:21.365549Z","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs","version":1},"reference_index":2007,"source":"pdf_text","source_observed_at":"2026-08-12T00:56:32.139355Z"},"links":{"cited_paper":"/paper/2605.16249","citing_paper":"/paper/2608.07986"},"observation_digest":"sha256:ad4640fbb4d4079902b321dea011cd0277695ac637b9c1eed267dcecf08d9571","observation_id":"49091dc4-82c8-43fd-a1f6-0174409cd832","resolution":{"observed_at":"2026-08-12T00:56:32.315995Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T00:56:32.123594Z","title":"High-dimensional quantum Schur transforms","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.07986","last_updated":"2026-08-08T07:45:56Z","snapshot_observed_at":"2026-08-12T19:15:21.365549Z","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs","version":1},"reference_index":2011,"source":"pdf_text","source_observed_at":"2026-08-12T00:56:32.123594Z"},"links":{"citing_paper":"/paper/2608.07986"},"observation_digest":"sha256:0e76a6bd04776ee1add1ad2ce4c64d2b7d5e69638288550decdd933cb519300d","observation_id":"14be8ef5-8e24-4e5d-a52d-cf87a39cc72e","resolution":{"observed_at":"2026-08-12T00:56:32.123594Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2607.21477","last_updated":"2026-07-23T16:17:44Z","snapshot_observed_at":"2026-08-06T14:59:03.808472Z","submitted_at":"2026-07-23T16:17:44Z","title":"An Optimal Analysis of the Product Test","version":1},"cited_work":{"arxiv_id":"2607.21477","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.21477","snapshot_observed_at":"2026-08-12T00:56:32.327397Z","title":"An Optimal Analysis of the Product Test","venue":"quant-ph","work_id":"e3fe86bb-80b7-4c71-91e3-fe4ec78ade12","year":2026},"citing_paper":{"arxiv_id":"2608.07986","last_updated":"2026-08-08T07:45:56Z","snapshot_observed_at":"2026-08-12T19:15:21.365549Z","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs","version":1},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-12T00:56:32.135309Z"},"links":{"cited_paper":"/paper/2607.21477","citing_paper":"/paper/2608.07986"},"observation_digest":"sha256:6ae179be47ef5b94b28be842c8d2049a808c7a68b50ce14ca7f1d236d512dd00","observation_id":"06a03037-bf8e-4695-8fa1-afeeefa8dec9","resolution":{"observed_at":"2026-08-12T00:56:32.331515Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.02845","last_updated":"2026-05-04T17:22:02Z","snapshot_observed_at":"2026-08-11T12:05:26.526192Z","submitted_at":"2026-05-04T17:22:02Z","title":"The Complexity of Stoquastic Sparse Hamiltonians","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.02845","snapshot_observed_at":"2026-08-12T00:56:32.150082Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.07986","last_updated":"2026-08-08T07:45:56Z","snapshot_observed_at":"2026-08-12T19:15:21.365549Z","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs","version":1},"reference_index":2015,"source":"pdf_text","source_observed_at":"2026-08-12T00:56:32.150082Z"},"links":{"cited_paper":"/paper/2605.02845","citing_paper":"/paper/2608.07986"},"observation_digest":"sha256:3bd92af021e6116e8b1102d97ff15ec50e6e8e6821edd2e3b8603cdd8ed5b010","observation_id":"62ceefdd-f392-4a5d-bce2-ae3049e032e5","resolution":{"observed_at":"2026-08-12T00:56:32.150082Z","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":"2026-08-12T00:56:32.425411Z","title":"Dimension Independent Disentanglers from Unentanglement and Applications","venue":null,"work_id":"848d22a6-f3f8-4b89-8510-ef8fd01e5dc8","year":2024},"citing_paper":{"arxiv_id":"2608.07986","last_updated":"2026-08-08T07:45:56Z","snapshot_observed_at":"2026-08-12T19:15:21.365549Z","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-12T00:56:32.153714Z"},"links":{"citing_paper":"/paper/2608.07986"},"observation_digest":"sha256:028ef632b05f45de263400b0269fc18857ce571333e875f8ccc282d7c5b78e0e","observation_id":"6a8c6821-b3e9-45f2-98b4-7bd7e32c5eee","resolution":{"observed_at":"2026-08-12T00:56:32.429411Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+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":"2026-08-12T00:56:32.446064Z","title":"Quantum Merlin-Arthur and Proofs Without Relative Phase","venue":null,"work_id":"2973b068-ff8f-41cc-b94c-37dfdf1b54ee","year":2024},"citing_paper":{"arxiv_id":"2608.07986","last_updated":"2026-08-08T07:45:56Z","snapshot_observed_at":"2026-08-12T19:15:21.365549Z","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-12T00:56:32.131772Z"},"links":{"citing_paper":"/paper/2608.07986"},"observation_digest":"sha256:e4c98554bbfb924d56226fa1490e6ea447666bc9cb1ad0f40f9af4bb0e94246c","observation_id":"3171c724-4c92-4d50-ba25-c23119d1ca7e","resolution":{"observed_at":"2026-08-12T00:56:32.450023Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.19152","last_updated":"2024-10-24T20:44:20Z","snapshot_observed_at":"2026-08-02T01:50:09.942560Z","submitted_at":"2024-10-24T20:44:20Z","title":"Quantum Merlin-Arthur with an internally separable proof","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.19152","snapshot_observed_at":"2026-08-12T00:56:32.127897Z","title":"Quantum Merlin-Arthur with an internally separable proof.arXiv preprint arXiv:2410.19152,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.07986","last_updated":"2026-08-08T07:45:56Z","snapshot_observed_at":"2026-08-12T19:15:21.365549Z","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-12T00:56:32.127897Z"},"links":{"cited_paper":"/paper/2410.19152","citing_paper":"/paper/2608.07986"},"observation_digest":"sha256:f1ae5a8697323010751441d46ac888ad1d8eb758abdfe07bf54fbedb79aae45f","observation_id":"1bef4267-a379-4541-a1cc-6549599a8a62","resolution":{"observed_at":"2026-08-12T00:56:32.127897Z","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":"2509.15319","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T00:56:32.297467Z","title":"Unentanglement and post-measurement branch- ing in quantum interactive proofs.arXiv preprint arXiv:2509.15319,","venue":null,"work_id":"e7a1b595-d1f3-4590-b724-2d8c781f18f3","year":null},"citing_paper":{"arxiv_id":"2608.07986","last_updated":"2026-08-08T07:45:56Z","snapshot_observed_at":"2026-08-12T19:15:21.365549Z","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs","version":1},"reference_index":2026,"source":"pdf_text","source_observed_at":"2026-08-12T00:56:32.143346Z"},"links":{"citing_paper":"/paper/2608.07986"},"observation_digest":"sha256:e0cf84e329c4327da34c974fb8ce6b14431622778e0726aa2813571e8b62967e","observation_id":"8bf81e50-3be2-436a-a269-7131f176b70b","resolution":{"observed_at":"2026-08-12T00:56:32.302822Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.07986","last_updated":"2026-08-08T07:45:56Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-12T19:15:21.365549Z","submitted_at":"2026-08-08T07:45:56Z","title":"Near-Optimal Gap Amplification for Nonnegative Unentangled Quantum Proofs"},"reference_resolution":{"displayed":13,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":4,"verified_fuzzy":4},"total_outbound_references":13},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2608.07986."}