{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ECTS3FAYZV2RNTBPJZ2IHI6VYT","short_pith_number":"pith:ECTS3FAY","schema_version":"1.0","canonical_sha256":"20a72d9418cd7516cc2f4e7483a3d5c4c66947266ba28a46ca94c5e2a1ae04cf","source":{"kind":"arxiv","id":"1308.6702","version":4},"attestation_state":"computed","paper":{"title":"Adversarial hypothesis testing and a quantum Stein's Lemma for restricted measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.PR","quant-ph"],"primary_cat":"cs.IT","authors_text":"Aram W. Harrow, Fernando G.S.L. Brandao, James R. Lee, Yuval Peres","submitted_at":"2013-08-30T10:28:34Z","abstract_excerpt":"Recall the classical hypothesis testing setting with two convex sets of probability distributions P and Q. One receives either n i.i.d. samples from a distribution p in P or from a distribution q in Q and wants to decide from which set the points were sampled. It is known that the optimal exponential rate at which errors decrease can be achieved by a simple maximum-likelihood ratio test which does not depend on p or q, but only on the sets P and Q.\n  We consider an adaptive generalization of this model where the choice of p in P and q in Q can change in each sample in some way that depends arb"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1308.6702","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-08-30T10:28:34Z","cross_cats_sorted":["math.IT","math.PR","quant-ph"],"title_canon_sha256":"404c90760bb6ddfa1b903d6b906f378bb1e144fa0a7336a47ddaba81e4d0dad5","abstract_canon_sha256":"ad1806f89d2f0c09fbf5357879cbf080af50ff6d5984909ceb7044ecf70ef59a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:19:48.426735Z","signature_b64":"5jNTWwxkYV/hXw6m0HIOJI6833hW5xeBVz3r6VWgLDmGEZHSlUrjZoCc3Lv1+9OVCH3661bBe7vAc1qpn1ZHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20a72d9418cd7516cc2f4e7483a3d5c4c66947266ba28a46ca94c5e2a1ae04cf","last_reissued_at":"2026-07-05T01:19:48.426243Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:19:48.426243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Adversarial hypothesis testing and a quantum Stein's Lemma for restricted measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.PR","quant-ph"],"primary_cat":"cs.IT","authors_text":"Aram W. Harrow, Fernando G.S.L. Brandao, James R. Lee, Yuval Peres","submitted_at":"2013-08-30T10:28:34Z","abstract_excerpt":"Recall the classical hypothesis testing setting with two convex sets of probability distributions P and Q. One receives either n i.i.d. samples from a distribution p in P or from a distribution q in Q and wants to decide from which set the points were sampled. It is known that the optimal exponential rate at which errors decrease can be achieved by a simple maximum-likelihood ratio test which does not depend on p or q, but only on the sets P and Q.\n  We consider an adaptive generalization of this model where the choice of p in P and q in Q can change in each sample in some way that depends arb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6702","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1308.6702/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1308.6702","created_at":"2026-07-05T01:19:48.426304+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.6702v4","created_at":"2026-07-05T01:19:48.426304+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6702","created_at":"2026-07-05T01:19:48.426304+00:00"},{"alias_kind":"pith_short_12","alias_value":"ECTS3FAYZV2R","created_at":"2026-07-05T01:19:48.426304+00:00"},{"alias_kind":"pith_short_16","alias_value":"ECTS3FAYZV2RNTBP","created_at":"2026-07-05T01:19:48.426304+00:00"},{"alias_kind":"pith_short_8","alias_value":"ECTS3FAY","created_at":"2026-07-05T01:19:48.426304+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ECTS3FAYZV2RNTBPJZ2IHI6VYT","json":"https://pith.science/pith/ECTS3FAYZV2RNTBPJZ2IHI6VYT.json","graph_json":"https://pith.science/api/pith-number/ECTS3FAYZV2RNTBPJZ2IHI6VYT/graph.json","events_json":"https://pith.science/api/pith-number/ECTS3FAYZV2RNTBPJZ2IHI6VYT/events.json","paper":"https://pith.science/paper/ECTS3FAY"},"agent_actions":{"view_html":"https://pith.science/pith/ECTS3FAYZV2RNTBPJZ2IHI6VYT","download_json":"https://pith.science/pith/ECTS3FAYZV2RNTBPJZ2IHI6VYT.json","view_paper":"https://pith.science/paper/ECTS3FAY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.6702&json=true","fetch_graph":"https://pith.science/api/pith-number/ECTS3FAYZV2RNTBPJZ2IHI6VYT/graph.json","fetch_events":"https://pith.science/api/pith-number/ECTS3FAYZV2RNTBPJZ2IHI6VYT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ECTS3FAYZV2RNTBPJZ2IHI6VYT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ECTS3FAYZV2RNTBPJZ2IHI6VYT/action/storage_attestation","attest_author":"https://pith.science/pith/ECTS3FAYZV2RNTBPJZ2IHI6VYT/action/author_attestation","sign_citation":"https://pith.science/pith/ECTS3FAYZV2RNTBPJZ2IHI6VYT/action/citation_signature","submit_replication":"https://pith.science/pith/ECTS3FAYZV2RNTBPJZ2IHI6VYT/action/replication_record"}},"created_at":"2026-07-05T01:19:48.426304+00:00","updated_at":"2026-07-05T01:19:48.426304+00:00"}