{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6VXYYJO3RQHHRQA2LGAJE6QBTL","short_pith_number":"pith:6VXYYJO3","canonical_record":{"source":{"id":"1512.05315","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2015-12-16T20:21:04Z","cross_cats_sorted":[],"title_canon_sha256":"e63602a147191fe9c51339898bd0235afaf63b217c4b096734b79a056f04f3a7","abstract_canon_sha256":"19075e9f6ba3ee9623f4a6cf52aae5e533bbb88df94a76a13bd791c66a634f87"},"schema_version":"1.0"},"canonical_sha256":"f56f8c25db8c0e78c01a5980927a019af4e9e119637b41f683de05344e150119","source":{"kind":"arxiv","id":"1512.05315","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.05315","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"1512.05315v2","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05315","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"6VXYYJO3RQHH","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6VXYYJO3RQHHRQA2","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6VXYYJO3","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6VXYYJO3RQHHRQA2LGAJE6QBTL","target":"record","payload":{"canonical_record":{"source":{"id":"1512.05315","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2015-12-16T20:21:04Z","cross_cats_sorted":[],"title_canon_sha256":"e63602a147191fe9c51339898bd0235afaf63b217c4b096734b79a056f04f3a7","abstract_canon_sha256":"19075e9f6ba3ee9623f4a6cf52aae5e533bbb88df94a76a13bd791c66a634f87"},"schema_version":"1.0"},"canonical_sha256":"f56f8c25db8c0e78c01a5980927a019af4e9e119637b41f683de05344e150119","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:18.458191Z","signature_b64":"WjfRLhmKgvkx7O4JU+GqZVZMmEeejEqaX4J0hfOO/ytKswYvQo7jynmwv+3xO5uRfFdexsaYnuVuryYejC69BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f56f8c25db8c0e78c01a5980927a019af4e9e119637b41f683de05344e150119","last_reissued_at":"2026-05-18T00:39:18.457564Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:18.457564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.05315","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xxH5Lsm3Kkt2dJ9BtKY3kpV1xt5rRoxAK5CVVbUrXJpr2mIVhh+eJDgL5HLidaOlgxWyga72L9ZmWdJe3GiPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T15:15:53.227536Z"},"content_sha256":"fd2925b50948933c4a0e2a4bb3c01ef82858e05672290d76b815b33b8d7b4ce4","schema_version":"1.0","event_id":"sha256:fd2925b50948933c4a0e2a4bb3c01ef82858e05672290d76b815b33b8d7b4ce4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6VXYYJO3RQHHRQA2LGAJE6QBTL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantifying high dimensional entanglement with two mutually unbiased bases","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Marcus Huber, Mario Krenn, Paul Erker","submitted_at":"2015-12-16T20:21:04Z","abstract_excerpt":"We derive a framework for quantifying entanglement in multipartite and high dimensional systems using only correlations in two unbiased bases. We furthermore develop such bounds in cases where the second basis is not characterized beyond being unbiased, thus enabling entanglement quantification with minimal assumptions. Furthermore, we show that it is feasible to experimentally implement our method with readily available equipment and even conservative estimates of physical parameters."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05315","kind":"arxiv","version":2},"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":"2026-05-18T00:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yRbNydInNka8Eq5FiOCALdZXuQqwmk0rfIAsL95dEIacEVLVLlvLMiDG2aUpX3YFwC81u0iMAazgyGXm3FdwAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T15:15:53.227883Z"},"content_sha256":"b81c3b7217dbb9f2d367033de62613aa7d718d313e172625d897823190e92130","schema_version":"1.0","event_id":"sha256:b81c3b7217dbb9f2d367033de62613aa7d718d313e172625d897823190e92130"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6VXYYJO3RQHHRQA2LGAJE6QBTL/bundle.json","state_url":"https://pith.science/pith/6VXYYJO3RQHHRQA2LGAJE6QBTL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6VXYYJO3RQHHRQA2LGAJE6QBTL/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":"2026-06-24T15:15:53Z","links":{"resolver":"https://pith.science/pith/6VXYYJO3RQHHRQA2LGAJE6QBTL","bundle":"https://pith.science/pith/6VXYYJO3RQHHRQA2LGAJE6QBTL/bundle.json","state":"https://pith.science/pith/6VXYYJO3RQHHRQA2LGAJE6QBTL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6VXYYJO3RQHHRQA2LGAJE6QBTL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6VXYYJO3RQHHRQA2LGAJE6QBTL","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":"19075e9f6ba3ee9623f4a6cf52aae5e533bbb88df94a76a13bd791c66a634f87","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2015-12-16T20:21:04Z","title_canon_sha256":"e63602a147191fe9c51339898bd0235afaf63b217c4b096734b79a056f04f3a7"},"schema_version":"1.0","source":{"id":"1512.05315","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.05315","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"1512.05315v2","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05315","created_at":"2026-05-18T00:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"6VXYYJO3RQHH","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6VXYYJO3RQHHRQA2","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6VXYYJO3","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:b81c3b7217dbb9f2d367033de62613aa7d718d313e172625d897823190e92130","target":"graph","created_at":"2026-05-18T00:39:18Z","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 derive a framework for quantifying entanglement in multipartite and high dimensional systems using only correlations in two unbiased bases. We furthermore develop such bounds in cases where the second basis is not characterized beyond being unbiased, thus enabling entanglement quantification with minimal assumptions. Furthermore, we show that it is feasible to experimentally implement our method with readily available equipment and even conservative estimates of physical parameters.","authors_text":"Marcus Huber, Mario Krenn, Paul Erker","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2015-12-16T20:21:04Z","title":"Quantifying high dimensional entanglement with two mutually unbiased bases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05315","kind":"arxiv","version":2},"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:fd2925b50948933c4a0e2a4bb3c01ef82858e05672290d76b815b33b8d7b4ce4","target":"record","created_at":"2026-05-18T00:39:18Z","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":"19075e9f6ba3ee9623f4a6cf52aae5e533bbb88df94a76a13bd791c66a634f87","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2015-12-16T20:21:04Z","title_canon_sha256":"e63602a147191fe9c51339898bd0235afaf63b217c4b096734b79a056f04f3a7"},"schema_version":"1.0","source":{"id":"1512.05315","kind":"arxiv","version":2}},"canonical_sha256":"f56f8c25db8c0e78c01a5980927a019af4e9e119637b41f683de05344e150119","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f56f8c25db8c0e78c01a5980927a019af4e9e119637b41f683de05344e150119","first_computed_at":"2026-05-18T00:39:18.457564Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:18.457564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WjfRLhmKgvkx7O4JU+GqZVZMmEeejEqaX4J0hfOO/ytKswYvQo7jynmwv+3xO5uRfFdexsaYnuVuryYejC69BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:18.458191Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.05315","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd2925b50948933c4a0e2a4bb3c01ef82858e05672290d76b815b33b8d7b4ce4","sha256:b81c3b7217dbb9f2d367033de62613aa7d718d313e172625d897823190e92130"],"state_sha256":"89be82876f12e1ce9d049bcca8940d4bd5b2967f7f80f65ef28bd58b333b22b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3aXb948+/WRD1RiKGK9J+t+VZYLhmGFYc5Rt23g50KoAX2uqruJgeMVj4QIwFXd38Zs9uGdMvKAzhkhUmdGJDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T15:15:53.229901Z","bundle_sha256":"47e48fd6f5b1a9d6aab739a1666d5fa73c4909fa445e653059ab9540d6577864"}}