{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UWYBLE4FXX3PV5WM7UG3PXEK5J","short_pith_number":"pith:UWYBLE4F","canonical_record":{"source":{"id":"1603.00872","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-02T18:38:31Z","cross_cats_sorted":[],"title_canon_sha256":"7e1e017bef8440dfd3f098fa24cb4936fcf4ef5fdd7886f96dcb37c0d6b64256","abstract_canon_sha256":"6f599c052470a313054f1a9076119a50bda01f10c379f9acda2231d44a49969d"},"schema_version":"1.0"},"canonical_sha256":"a5b0159385bdf6faf6ccfd0db7dc8aea6a6ebcfc02b1c82f6621b1797bb67bdd","source":{"kind":"arxiv","id":"1603.00872","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.00872","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"arxiv_version","alias_value":"1603.00872v2","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00872","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"pith_short_12","alias_value":"UWYBLE4FXX3P","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UWYBLE4FXX3PV5WM","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UWYBLE4F","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UWYBLE4FXX3PV5WM7UG3PXEK5J","target":"record","payload":{"canonical_record":{"source":{"id":"1603.00872","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-02T18:38:31Z","cross_cats_sorted":[],"title_canon_sha256":"7e1e017bef8440dfd3f098fa24cb4936fcf4ef5fdd7886f96dcb37c0d6b64256","abstract_canon_sha256":"6f599c052470a313054f1a9076119a50bda01f10c379f9acda2231d44a49969d"},"schema_version":"1.0"},"canonical_sha256":"a5b0159385bdf6faf6ccfd0db7dc8aea6a6ebcfc02b1c82f6621b1797bb67bdd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:02.654019Z","signature_b64":"qIOyEt29ulLD946kVzr00l+Y01kCfS9RthPIsakqZL4ZXTkMEHCz6zMewLRCq8CuVCimRYqq6nevs/sIUa4eDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5b0159385bdf6faf6ccfd0db7dc8aea6a6ebcfc02b1c82f6621b1797bb67bdd","last_reissued_at":"2026-05-18T00:53:02.653362Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:02.653362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.00872","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":"2026-05-18T00:53:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9utkQZ8ST6GMYzlDyhizLFdTAfJwoE3YUbSC9l9Ie0akt8fKhD6Jqa5/WmG/fhOSxrqfuTarcl10bXuXLqD3AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T21:16:09.868368Z"},"content_sha256":"a1453f1bec3b20f61bc4c1694cbb4e4f9e9afdc1aadcc30f5ffd2b771e4396c1","schema_version":"1.0","event_id":"sha256:a1453f1bec3b20f61bc4c1694cbb4e4f9e9afdc1aadcc30f5ffd2b771e4396c1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UWYBLE4FXX3PV5WM7UG3PXEK5J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Principal Component Analysis of Quantum Correlation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Renzo Mosetti","submitted_at":"2016-03-02T18:38:31Z","abstract_excerpt":"The concept of quantum correlation matrix for observables leads to the application of the PCA (Principal Component Analysis) also for quantum system in Hilbert space. It is shown that, in the case of a 2x2 spin system where the observables are the Pauli matrices and a polarization vector is acting on the density matrix, meaningful results can be obtained by the PCA in terms of qubit properties. In particular, it is shown that by choosing, for example, the (x,z) spinors, the axes of the principal components (PC) coincide with the circular polarization basis on the Block Sphere."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00872","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":"2026-05-18T00:53:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u1nGKLlr6INrByXf29u4bmZNxcEdprYROflEDHnQvqjHElkEAsA4UAGEPed+sB5AdyD1HiWC2oiD7T4dUZCYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T21:16:09.868714Z"},"content_sha256":"95b02abeeacba1eeb17d4c0f4e657e7cef830db53e2169b3d301d39b881d24bd","schema_version":"1.0","event_id":"sha256:95b02abeeacba1eeb17d4c0f4e657e7cef830db53e2169b3d301d39b881d24bd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UWYBLE4FXX3PV5WM7UG3PXEK5J/bundle.json","state_url":"https://pith.science/pith/UWYBLE4FXX3PV5WM7UG3PXEK5J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UWYBLE4FXX3PV5WM7UG3PXEK5J/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":"2026-06-20T21:16:09Z","links":{"resolver":"https://pith.science/pith/UWYBLE4FXX3PV5WM7UG3PXEK5J","bundle":"https://pith.science/pith/UWYBLE4FXX3PV5WM7UG3PXEK5J/bundle.json","state":"https://pith.science/pith/UWYBLE4FXX3PV5WM7UG3PXEK5J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UWYBLE4FXX3PV5WM7UG3PXEK5J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UWYBLE4FXX3PV5WM7UG3PXEK5J","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":"6f599c052470a313054f1a9076119a50bda01f10c379f9acda2231d44a49969d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-02T18:38:31Z","title_canon_sha256":"7e1e017bef8440dfd3f098fa24cb4936fcf4ef5fdd7886f96dcb37c0d6b64256"},"schema_version":"1.0","source":{"id":"1603.00872","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.00872","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"arxiv_version","alias_value":"1603.00872v2","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00872","created_at":"2026-05-18T00:53:02Z"},{"alias_kind":"pith_short_12","alias_value":"UWYBLE4FXX3P","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UWYBLE4FXX3PV5WM","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UWYBLE4F","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:95b02abeeacba1eeb17d4c0f4e657e7cef830db53e2169b3d301d39b881d24bd","target":"graph","created_at":"2026-05-18T00:53:02Z","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":"The concept of quantum correlation matrix for observables leads to the application of the PCA (Principal Component Analysis) also for quantum system in Hilbert space. It is shown that, in the case of a 2x2 spin system where the observables are the Pauli matrices and a polarization vector is acting on the density matrix, meaningful results can be obtained by the PCA in terms of qubit properties. In particular, it is shown that by choosing, for example, the (x,z) spinors, the axes of the principal components (PC) coincide with the circular polarization basis on the Block Sphere.","authors_text":"Renzo Mosetti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-02T18:38:31Z","title":"Principal Component Analysis of Quantum Correlation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00872","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:a1453f1bec3b20f61bc4c1694cbb4e4f9e9afdc1aadcc30f5ffd2b771e4396c1","target":"record","created_at":"2026-05-18T00:53:02Z","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":"6f599c052470a313054f1a9076119a50bda01f10c379f9acda2231d44a49969d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-03-02T18:38:31Z","title_canon_sha256":"7e1e017bef8440dfd3f098fa24cb4936fcf4ef5fdd7886f96dcb37c0d6b64256"},"schema_version":"1.0","source":{"id":"1603.00872","kind":"arxiv","version":2}},"canonical_sha256":"a5b0159385bdf6faf6ccfd0db7dc8aea6a6ebcfc02b1c82f6621b1797bb67bdd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5b0159385bdf6faf6ccfd0db7dc8aea6a6ebcfc02b1c82f6621b1797bb67bdd","first_computed_at":"2026-05-18T00:53:02.653362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:02.653362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qIOyEt29ulLD946kVzr00l+Y01kCfS9RthPIsakqZL4ZXTkMEHCz6zMewLRCq8CuVCimRYqq6nevs/sIUa4eDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:02.654019Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.00872","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1453f1bec3b20f61bc4c1694cbb4e4f9e9afdc1aadcc30f5ffd2b771e4396c1","sha256:95b02abeeacba1eeb17d4c0f4e657e7cef830db53e2169b3d301d39b881d24bd"],"state_sha256":"636420942c649f09e457ad85f6716925f1b7180117100ef13e81281ffc27d255"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+AUwSIC9x79A+hSVEfZEvg0pQQj4EUuVTWF0juku7ePnAh5W5Ch/Iw4BQJydQimV40257KY4QNnUTGqdyLrHAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T21:16:09.870644Z","bundle_sha256":"1541b01817797ab3530ed0b5cb44c2bbdc97e1d2695e9cb1832c320fd80c214d"}}