{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:47BCNDOSGDHKDFIEWEZQCPAQHT","short_pith_number":"pith:47BCNDOS","canonical_record":{"source":{"id":"quant-ph/0604202","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-04-27T12:53:01Z","cross_cats_sorted":[],"title_canon_sha256":"7000c83d34687945fb8391f4e19a690d3f05179d8f21b729bf446864995df390","abstract_canon_sha256":"70a306f797793345501d982075797fc01262be664d36e7e57cd03c562550a0d8"},"schema_version":"1.0"},"canonical_sha256":"e7c2268dd230cea19504b133013c103cf882ef215227f3a3ad78026044e6201b","source":{"kind":"arxiv","id":"quant-ph/0604202","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0604202","created_at":"2026-05-18T03:34:00Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0604202v1","created_at":"2026-05-18T03:34:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0604202","created_at":"2026-05-18T03:34:00Z"},{"alias_kind":"pith_short_12","alias_value":"47BCNDOSGDHK","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"47BCNDOSGDHKDFIE","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"47BCNDOS","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:47BCNDOSGDHKDFIEWEZQCPAQHT","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0604202","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-04-27T12:53:01Z","cross_cats_sorted":[],"title_canon_sha256":"7000c83d34687945fb8391f4e19a690d3f05179d8f21b729bf446864995df390","abstract_canon_sha256":"70a306f797793345501d982075797fc01262be664d36e7e57cd03c562550a0d8"},"schema_version":"1.0"},"canonical_sha256":"e7c2268dd230cea19504b133013c103cf882ef215227f3a3ad78026044e6201b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:34:00.352518Z","signature_b64":"et0lbHDM5W1EqYPXTsdN9J+Tx6LsQAf26jcqD1V+OSSCx04T7w9xETcJrjQPK/AtHrti+oPO/E9KfirALNEZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7c2268dd230cea19504b133013c103cf882ef215227f3a3ad78026044e6201b","last_reissued_at":"2026-05-18T03:34:00.351730Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:34:00.351730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0604202","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:34:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZKSIoErkNtreE5ROVXoeJtofz/uHvCGHkesB8mJNDHbLO6BKzf0LbJ6SNbcVvDcnCnByaIUAba4MkN89gmMsAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:31:25.470627Z"},"content_sha256":"8d3738abf33950bbd4dd098056c9c3373b5e4914b49ced55e6235533652dd9a3","schema_version":"1.0","event_id":"sha256:8d3738abf33950bbd4dd098056c9c3373b5e4914b49ced55e6235533652dd9a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:47BCNDOSGDHKDFIEWEZQCPAQHT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Unitary invariants of qubit systems","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Frederic Toumazet, Jean-Gabriel Luque, Jean-Yves Thibon","submitted_at":"2006-04-27T12:53:01Z","abstract_excerpt":"We give an algorithm allowing to construct bases of local unitary invariants of pure k-qubit states from the knowledge of polynomial covariants of the group of invertible local filtering operations. The simplest invariants obtained in this way are explicited and compared to various known entanglement measures. Complete sets of generators are obtained for up to four qubits, and the structure of the invariant algebras is discussed in detail."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0604202","kind":"arxiv","version":1},"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":"2026-05-18T03:34:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZPHbqSx3mPA5IFmMtHbGCCNV/npJCklbAFdfOR6cDr58EK4zOLqD72znU6pdImA/hfyKmEUBPC5iC2OW3x3xDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:31:25.471307Z"},"content_sha256":"532570b7eb3047f82ee726723c986b9d035f2f928ff2f87445dba6ba588c13de","schema_version":"1.0","event_id":"sha256:532570b7eb3047f82ee726723c986b9d035f2f928ff2f87445dba6ba588c13de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/47BCNDOSGDHKDFIEWEZQCPAQHT/bundle.json","state_url":"https://pith.science/pith/47BCNDOSGDHKDFIEWEZQCPAQHT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/47BCNDOSGDHKDFIEWEZQCPAQHT/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":"2026-05-26T02:31:25Z","links":{"resolver":"https://pith.science/pith/47BCNDOSGDHKDFIEWEZQCPAQHT","bundle":"https://pith.science/pith/47BCNDOSGDHKDFIEWEZQCPAQHT/bundle.json","state":"https://pith.science/pith/47BCNDOSGDHKDFIEWEZQCPAQHT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/47BCNDOSGDHKDFIEWEZQCPAQHT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:47BCNDOSGDHKDFIEWEZQCPAQHT","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":"70a306f797793345501d982075797fc01262be664d36e7e57cd03c562550a0d8","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-04-27T12:53:01Z","title_canon_sha256":"7000c83d34687945fb8391f4e19a690d3f05179d8f21b729bf446864995df390"},"schema_version":"1.0","source":{"id":"quant-ph/0604202","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0604202","created_at":"2026-05-18T03:34:00Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0604202v1","created_at":"2026-05-18T03:34:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0604202","created_at":"2026-05-18T03:34:00Z"},{"alias_kind":"pith_short_12","alias_value":"47BCNDOSGDHK","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"47BCNDOSGDHKDFIE","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"47BCNDOS","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:532570b7eb3047f82ee726723c986b9d035f2f928ff2f87445dba6ba588c13de","target":"graph","created_at":"2026-05-18T03:34:00Z","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 give an algorithm allowing to construct bases of local unitary invariants of pure k-qubit states from the knowledge of polynomial covariants of the group of invertible local filtering operations. The simplest invariants obtained in this way are explicited and compared to various known entanglement measures. Complete sets of generators are obtained for up to four qubits, and the structure of the invariant algebras is discussed in detail.","authors_text":"Frederic Toumazet, Jean-Gabriel Luque, Jean-Yves Thibon","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-04-27T12:53:01Z","title":"Unitary invariants of qubit systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0604202","kind":"arxiv","version":1},"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":"sha256:8d3738abf33950bbd4dd098056c9c3373b5e4914b49ced55e6235533652dd9a3","target":"record","created_at":"2026-05-18T03:34:00Z","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":"70a306f797793345501d982075797fc01262be664d36e7e57cd03c562550a0d8","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-04-27T12:53:01Z","title_canon_sha256":"7000c83d34687945fb8391f4e19a690d3f05179d8f21b729bf446864995df390"},"schema_version":"1.0","source":{"id":"quant-ph/0604202","kind":"arxiv","version":1}},"canonical_sha256":"e7c2268dd230cea19504b133013c103cf882ef215227f3a3ad78026044e6201b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7c2268dd230cea19504b133013c103cf882ef215227f3a3ad78026044e6201b","first_computed_at":"2026-05-18T03:34:00.351730Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:34:00.351730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"et0lbHDM5W1EqYPXTsdN9J+Tx6LsQAf26jcqD1V+OSSCx04T7w9xETcJrjQPK/AtHrti+oPO/E9KfirALNEZAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:34:00.352518Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0604202","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d3738abf33950bbd4dd098056c9c3373b5e4914b49ced55e6235533652dd9a3","sha256:532570b7eb3047f82ee726723c986b9d035f2f928ff2f87445dba6ba588c13de"],"state_sha256":"e757d8d96d573a547c156e2e6b28bb065c2b3bb90cd3d730daaa01b43334f03c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"040yO5W2/K9VVYZvOY4NqX4ZG6mwjwHB7NoziajTlzj8GbGdxlB0NZM0nHBUcpdiiW62xuAcYOunVQ9h+F7nAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T02:31:25.475172Z","bundle_sha256":"48a614e67ed4300c272944a0e2cc096bc37a33e688ff718323be21bca813984e"}}