{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:PQNB6A6S6HP33RIL2TMNXJ3WQM","short_pith_number":"pith:PQNB6A6S","canonical_record":{"source":{"id":"quant-ph/0602136","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-02-16T10:27:01Z","cross_cats_sorted":[],"title_canon_sha256":"8d0d9646434dcb36d9394d0115541275665eb03aab70c9e711e09f2f7c986577","abstract_canon_sha256":"c010ae72785a41fe7798f0f7ac0416c71e938d2c22ec2f34a267926e58b1eeb0"},"schema_version":"1.0"},"canonical_sha256":"7c1a1f03d2f1dfbdc50bd4d8dba7768333c0db1d1edc95727ca2e805b482ec9b","source":{"kind":"arxiv","id":"quant-ph/0602136","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0602136","created_at":"2026-05-18T01:37:57Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0602136v1","created_at":"2026-05-18T01:37:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0602136","created_at":"2026-05-18T01:37:57Z"},{"alias_kind":"pith_short_12","alias_value":"PQNB6A6S6HP3","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"PQNB6A6S6HP33RIL","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"PQNB6A6S","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:PQNB6A6S6HP33RIL2TMNXJ3WQM","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0602136","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-02-16T10:27:01Z","cross_cats_sorted":[],"title_canon_sha256":"8d0d9646434dcb36d9394d0115541275665eb03aab70c9e711e09f2f7c986577","abstract_canon_sha256":"c010ae72785a41fe7798f0f7ac0416c71e938d2c22ec2f34a267926e58b1eeb0"},"schema_version":"1.0"},"canonical_sha256":"7c1a1f03d2f1dfbdc50bd4d8dba7768333c0db1d1edc95727ca2e805b482ec9b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:57.115301Z","signature_b64":"M0Z9eDVP1uBt1jsk8WZ07RA3bxTqssnORyGJm3kC048HagJDerICOSPnbUgJFdsVRL2sbnuZwfyQo3yD+/MICQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c1a1f03d2f1dfbdc50bd4d8dba7768333c0db1d1edc95727ca2e805b482ec9b","last_reissued_at":"2026-05-18T01:37:57.114741Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:57.114741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0602136","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":"2026-05-18T01:37:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ELT4zPRYoWSI2q1YJ9cdHDHR7UHx0JCLXrwRQwMGO6gQp6qoD40Ay440JnDqQjlU+z77BVLjkhqt4M13CEaFBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T15:27:49.767703Z"},"content_sha256":"934e979d3ed0ac2186f4f51becde4936a3bd9f36e9bba5f8b7422759b5219d0c","schema_version":"1.0","event_id":"sha256:934e979d3ed0ac2186f4f51becde4936a3bd9f36e9bba5f8b7422759b5219d0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:PQNB6A6S6HP33RIL2TMNXJ3WQM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Matrix Tensor Product Approach to the Equivalence of Multipartite States under Local Unitary Transformations","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"S. Alberverio, S.M. Fei, X.H. Gao, Z.X. Wang","submitted_at":"2006-02-16T10:27:01Z","abstract_excerpt":"The equivalence of multipartite quantum mixed states under local unitary transformations is studied. A criterion for the equivalence of non-degenerate mixed multipartite quantum states under local unitary transformations is presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0602136","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":"2026-05-18T01:37:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K9TyX7p+qu13Mzsy2Wo3UWnFnU1lTIHs2lG/R9m4JysNfNE9ZOoDORS01Lwd8QYRRLV3YVlfKirfxW3xTCxmDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T15:27:49.768049Z"},"content_sha256":"7387301f527ec7e10c4e0db2939488dcf2d3b7c9b2a5e5033aea225db1dbcc68","schema_version":"1.0","event_id":"sha256:7387301f527ec7e10c4e0db2939488dcf2d3b7c9b2a5e5033aea225db1dbcc68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PQNB6A6S6HP33RIL2TMNXJ3WQM/bundle.json","state_url":"https://pith.science/pith/PQNB6A6S6HP33RIL2TMNXJ3WQM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PQNB6A6S6HP33RIL2TMNXJ3WQM/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":"2026-05-30T15:27:49Z","links":{"resolver":"https://pith.science/pith/PQNB6A6S6HP33RIL2TMNXJ3WQM","bundle":"https://pith.science/pith/PQNB6A6S6HP33RIL2TMNXJ3WQM/bundle.json","state":"https://pith.science/pith/PQNB6A6S6HP33RIL2TMNXJ3WQM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PQNB6A6S6HP33RIL2TMNXJ3WQM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:PQNB6A6S6HP33RIL2TMNXJ3WQM","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":"c010ae72785a41fe7798f0f7ac0416c71e938d2c22ec2f34a267926e58b1eeb0","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-02-16T10:27:01Z","title_canon_sha256":"8d0d9646434dcb36d9394d0115541275665eb03aab70c9e711e09f2f7c986577"},"schema_version":"1.0","source":{"id":"quant-ph/0602136","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0602136","created_at":"2026-05-18T01:37:57Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0602136v1","created_at":"2026-05-18T01:37:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0602136","created_at":"2026-05-18T01:37:57Z"},{"alias_kind":"pith_short_12","alias_value":"PQNB6A6S6HP3","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"PQNB6A6S6HP33RIL","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"PQNB6A6S","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:7387301f527ec7e10c4e0db2939488dcf2d3b7c9b2a5e5033aea225db1dbcc68","target":"graph","created_at":"2026-05-18T01:37:57Z","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 equivalence of multipartite quantum mixed states under local unitary transformations is studied. A criterion for the equivalence of non-degenerate mixed multipartite quantum states under local unitary transformations is presented.","authors_text":"S. Alberverio, S.M. Fei, X.H. Gao, Z.X. Wang","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-02-16T10:27:01Z","title":"Matrix Tensor Product Approach to the Equivalence of Multipartite States under Local Unitary Transformations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0602136","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":"sha256:934e979d3ed0ac2186f4f51becde4936a3bd9f36e9bba5f8b7422759b5219d0c","target":"record","created_at":"2026-05-18T01:37:57Z","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":"c010ae72785a41fe7798f0f7ac0416c71e938d2c22ec2f34a267926e58b1eeb0","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2006-02-16T10:27:01Z","title_canon_sha256":"8d0d9646434dcb36d9394d0115541275665eb03aab70c9e711e09f2f7c986577"},"schema_version":"1.0","source":{"id":"quant-ph/0602136","kind":"arxiv","version":1}},"canonical_sha256":"7c1a1f03d2f1dfbdc50bd4d8dba7768333c0db1d1edc95727ca2e805b482ec9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c1a1f03d2f1dfbdc50bd4d8dba7768333c0db1d1edc95727ca2e805b482ec9b","first_computed_at":"2026-05-18T01:37:57.114741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:57.114741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M0Z9eDVP1uBt1jsk8WZ07RA3bxTqssnORyGJm3kC048HagJDerICOSPnbUgJFdsVRL2sbnuZwfyQo3yD+/MICQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:57.115301Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0602136","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:934e979d3ed0ac2186f4f51becde4936a3bd9f36e9bba5f8b7422759b5219d0c","sha256:7387301f527ec7e10c4e0db2939488dcf2d3b7c9b2a5e5033aea225db1dbcc68"],"state_sha256":"66fdc83deff6c8e6a94817d17aa88d6e61a55cdb0f96a55a2b5daf83e612e0af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"io4c/REbo+AaN66h9AOlby9IU5hxTAoGMREgxFuotCHC+N/hFAW7vIMNZ+tTsRoNGCeHgkDNfQ/uhQ0MBDfnDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T15:27:49.770462Z","bundle_sha256":"e872f0aed182b4c56b469820f92f92a763d4449455a8baa931f1aa674c4b22b9"}}