{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2BGHMHARY3UVYWLJOCQPT23Q5Y","short_pith_number":"pith:2BGHMHAR","canonical_record":{"source":{"id":"1708.06002","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-20T18:41:41Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"ae8637dd860894f1d72ffd120020d799d76a5527ac5e4b3a4d3cf9fde9bac1ca","abstract_canon_sha256":"1166aad2492b4dbdeed05330fdb1e9c49e19aa754905eb5e9a7032343239fda9"},"schema_version":"1.0"},"canonical_sha256":"d04c761c11c6e95c596970a0f9eb70ee1c8d8973e2917231fdfa28ee5f016b9f","source":{"kind":"arxiv","id":"1708.06002","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.06002","created_at":"2026-05-18T00:31:18Z"},{"alias_kind":"arxiv_version","alias_value":"1708.06002v3","created_at":"2026-05-18T00:31:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.06002","created_at":"2026-05-18T00:31:18Z"},{"alias_kind":"pith_short_12","alias_value":"2BGHMHARY3UV","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2BGHMHARY3UVYWLJ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2BGHMHAR","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2BGHMHARY3UVYWLJOCQPT23Q5Y","target":"record","payload":{"canonical_record":{"source":{"id":"1708.06002","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-20T18:41:41Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"ae8637dd860894f1d72ffd120020d799d76a5527ac5e4b3a4d3cf9fde9bac1ca","abstract_canon_sha256":"1166aad2492b4dbdeed05330fdb1e9c49e19aa754905eb5e9a7032343239fda9"},"schema_version":"1.0"},"canonical_sha256":"d04c761c11c6e95c596970a0f9eb70ee1c8d8973e2917231fdfa28ee5f016b9f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:18.876434Z","signature_b64":"/cG4/zCT9v3+bDj30GB/SXaVdVWl1LJrr8oIVCaWaje4z+9r5fDiwizLUZNUr4RDTPyyXsBbiifehLkl1GXqCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d04c761c11c6e95c596970a0f9eb70ee1c8d8973e2917231fdfa28ee5f016b9f","last_reissued_at":"2026-05-18T00:31:18.875671Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:18.875671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.06002","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:31:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EUJRDteucQRQIC/t+5aJOcLzBDedjTJQOA/1wEp9ePKcsp3zV1dV7+iRoaY5TxGCSl6NP3WKX0zDrRzw8gWOAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:25:58.790687Z"},"content_sha256":"3cbe5d2d75739a5432399731bed77f473d213455261d29bdbc117f44d0f607f3","schema_version":"1.0","event_id":"sha256:3cbe5d2d75739a5432399731bed77f473d213455261d29bdbc117f44d0f607f3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2BGHMHARY3UVYWLJOCQPT23Q5Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum state certification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"quant-ph","authors_text":"Costin B\\u{a}descu, John Wright, Ryan O'Donnell","submitted_at":"2017-08-20T18:41:41Z","abstract_excerpt":"We consider the problem of quantum state certification, where one is given $n$ copies of an unknown $d$-dimensional quantum mixed state $\\rho$, and one wants to test whether $\\rho$ is equal to some known mixed state $\\sigma$ or else is $\\epsilon$-far from $\\sigma$. The goal is to use notably fewer copies than the $\\Omega(d^2)$ needed for full tomography on $\\rho$ (i.e., density estimation). We give two robust state certification algorithms: one with respect to fidelity using $n = O(d/\\epsilon)$ copies, and one with respect to trace distance using $n = O(d/\\epsilon^2)$ copies. The latter algori"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06002","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:31:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wLk16KmSxlXfDeV3PXZyyThPDljfWpGDZy66gVtxaDm/xeaoBt82bZhkQzFWfb5FN7V35/Sz2ClJNatgFs9XAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T21:25:58.791043Z"},"content_sha256":"ae6f1b366de37ff2e616c218bbe80f2412291ac0bd38e1a81ff3a718115f64bf","schema_version":"1.0","event_id":"sha256:ae6f1b366de37ff2e616c218bbe80f2412291ac0bd38e1a81ff3a718115f64bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2BGHMHARY3UVYWLJOCQPT23Q5Y/bundle.json","state_url":"https://pith.science/pith/2BGHMHARY3UVYWLJOCQPT23Q5Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2BGHMHARY3UVYWLJOCQPT23Q5Y/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T21:25:58Z","links":{"resolver":"https://pith.science/pith/2BGHMHARY3UVYWLJOCQPT23Q5Y","bundle":"https://pith.science/pith/2BGHMHARY3UVYWLJOCQPT23Q5Y/bundle.json","state":"https://pith.science/pith/2BGHMHARY3UVYWLJOCQPT23Q5Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2BGHMHARY3UVYWLJOCQPT23Q5Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2BGHMHARY3UVYWLJOCQPT23Q5Y","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1166aad2492b4dbdeed05330fdb1e9c49e19aa754905eb5e9a7032343239fda9","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-20T18:41:41Z","title_canon_sha256":"ae8637dd860894f1d72ffd120020d799d76a5527ac5e4b3a4d3cf9fde9bac1ca"},"schema_version":"1.0","source":{"id":"1708.06002","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.06002","created_at":"2026-05-18T00:31:18Z"},{"alias_kind":"arxiv_version","alias_value":"1708.06002v3","created_at":"2026-05-18T00:31:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.06002","created_at":"2026-05-18T00:31:18Z"},{"alias_kind":"pith_short_12","alias_value":"2BGHMHARY3UV","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2BGHMHARY3UVYWLJ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2BGHMHAR","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:ae6f1b366de37ff2e616c218bbe80f2412291ac0bd38e1a81ff3a718115f64bf","target":"graph","created_at":"2026-05-18T00:31:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider the problem of quantum state certification, where one is given $n$ copies of an unknown $d$-dimensional quantum mixed state $\\rho$, and one wants to test whether $\\rho$ is equal to some known mixed state $\\sigma$ or else is $\\epsilon$-far from $\\sigma$. The goal is to use notably fewer copies than the $\\Omega(d^2)$ needed for full tomography on $\\rho$ (i.e., density estimation). We give two robust state certification algorithms: one with respect to fidelity using $n = O(d/\\epsilon)$ copies, and one with respect to trace distance using $n = O(d/\\epsilon^2)$ copies. The latter algori","authors_text":"Costin B\\u{a}descu, John Wright, Ryan O'Donnell","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-20T18:41:41Z","title":"Quantum state certification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06002","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3cbe5d2d75739a5432399731bed77f473d213455261d29bdbc117f44d0f607f3","target":"record","created_at":"2026-05-18T00:31:18Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1166aad2492b4dbdeed05330fdb1e9c49e19aa754905eb5e9a7032343239fda9","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-08-20T18:41:41Z","title_canon_sha256":"ae8637dd860894f1d72ffd120020d799d76a5527ac5e4b3a4d3cf9fde9bac1ca"},"schema_version":"1.0","source":{"id":"1708.06002","kind":"arxiv","version":3}},"canonical_sha256":"d04c761c11c6e95c596970a0f9eb70ee1c8d8973e2917231fdfa28ee5f016b9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d04c761c11c6e95c596970a0f9eb70ee1c8d8973e2917231fdfa28ee5f016b9f","first_computed_at":"2026-05-18T00:31:18.875671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:18.875671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/cG4/zCT9v3+bDj30GB/SXaVdVWl1LJrr8oIVCaWaje4z+9r5fDiwizLUZNUr4RDTPyyXsBbiifehLkl1GXqCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:18.876434Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.06002","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3cbe5d2d75739a5432399731bed77f473d213455261d29bdbc117f44d0f607f3","sha256:ae6f1b366de37ff2e616c218bbe80f2412291ac0bd38e1a81ff3a718115f64bf"],"state_sha256":"39635066a1b560bbb5a027ac11588fcdd44e3d2e6e79f9b6bf1824f0543cbe96"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"imYvNb2Ag+TKKqxUYGNALW7bgAJd/gasvhRkkomH6C96AogqK4G35jJ+t7G/JM6Zz/LyDXtkiKOSVKLNkl0kCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T21:25:58.793163Z","bundle_sha256":"9455744f5d8559a32804a6a5691dcdfed93e3743d39b7ba18c06bdd9fd3bad2d"}}