{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BOHVSMFMKNO4VGSF5Q372XI2KI","short_pith_number":"pith:BOHVSMFM","canonical_record":{"source":{"id":"1404.6852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-28T01:56:24Z","cross_cats_sorted":[],"title_canon_sha256":"08b85894ba208ac55908537701c91e0bfa86b878e66e96afee657a71072f158c","abstract_canon_sha256":"6491a5f70f0efb59911737d142ee349e978bc4231fc03af6c8119da9efb8a3dd"},"schema_version":"1.0"},"canonical_sha256":"0b8f5930ac535dca9a45ec37fd5d1a5219f405520fb2a3c59cbc773afe580048","source":{"kind":"arxiv","id":"1404.6852","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6852","created_at":"2026-05-18T02:51:41Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6852v1","created_at":"2026-05-18T02:51:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6852","created_at":"2026-05-18T02:51:41Z"},{"alias_kind":"pith_short_12","alias_value":"BOHVSMFMKNO4","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BOHVSMFMKNO4VGSF","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BOHVSMFM","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BOHVSMFMKNO4VGSF5Q372XI2KI","target":"record","payload":{"canonical_record":{"source":{"id":"1404.6852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-28T01:56:24Z","cross_cats_sorted":[],"title_canon_sha256":"08b85894ba208ac55908537701c91e0bfa86b878e66e96afee657a71072f158c","abstract_canon_sha256":"6491a5f70f0efb59911737d142ee349e978bc4231fc03af6c8119da9efb8a3dd"},"schema_version":"1.0"},"canonical_sha256":"0b8f5930ac535dca9a45ec37fd5d1a5219f405520fb2a3c59cbc773afe580048","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:41.336289Z","signature_b64":"Uung4cn7+KloSxK3nQyFfvYuoO/l13P7X7NIG5KJhuK5g4Uk29hJju9E5rCU10y+Zwo8ZZoHcSij72oU61iMCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b8f5930ac535dca9a45ec37fd5d1a5219f405520fb2a3c59cbc773afe580048","last_reissued_at":"2026-05-18T02:51:41.335629Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:41.335629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.6852","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":"2026-05-18T02:51:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cZgzZKzch27hlNjF03noFRFuxSCjPsik2dm31+PZS5ZG0f48VkGDQLz5s+9/8dLTTnqMMGvEm4ZZqazZXw5yBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:49:21.635448Z"},"content_sha256":"453800dd2a29f319df2ad24cf10682485e82478069074d7eee6b19c78bd3e1d5","schema_version":"1.0","event_id":"sha256:453800dd2a29f319df2ad24cf10682485e82478069074d7eee6b19c78bd3e1d5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BOHVSMFMKNO4VGSF5Q372XI2KI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"SLOCC Invariants for Multipartite Mixed States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Ming Li, Naihuan Jing, Shao-Ming Fei, Ting-Gui Zhang, Xianqing Li-Jost","submitted_at":"2014-04-28T01:56:24Z","abstract_excerpt":"We construct a nontrivial set of invariants for any multipartite mixed states under the SLOCC symmetry. These invariants are given by hyperdeterminants and independent from basis change. In particular, a family of d^2 invariants for arbitrary d-dimensional even partite mixed states are explicitly given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6852","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":"2026-05-18T02:51:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jM5lJUuKoQ282hfobBXUiLIZCJz2gNNbLkxGagFOaDO+25t9tqEin6kEu/cm6q1oqPd8GrcX6faEXSOziRDNCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:49:21.635791Z"},"content_sha256":"70c7b546fca94adf1284d57f9f39da8ddd6ed22b7c3c11c133b124727dfe7435","schema_version":"1.0","event_id":"sha256:70c7b546fca94adf1284d57f9f39da8ddd6ed22b7c3c11c133b124727dfe7435"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BOHVSMFMKNO4VGSF5Q372XI2KI/bundle.json","state_url":"https://pith.science/pith/BOHVSMFMKNO4VGSF5Q372XI2KI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BOHVSMFMKNO4VGSF5Q372XI2KI/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":"2026-06-10T21:49:21Z","links":{"resolver":"https://pith.science/pith/BOHVSMFMKNO4VGSF5Q372XI2KI","bundle":"https://pith.science/pith/BOHVSMFMKNO4VGSF5Q372XI2KI/bundle.json","state":"https://pith.science/pith/BOHVSMFMKNO4VGSF5Q372XI2KI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BOHVSMFMKNO4VGSF5Q372XI2KI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BOHVSMFMKNO4VGSF5Q372XI2KI","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":"6491a5f70f0efb59911737d142ee349e978bc4231fc03af6c8119da9efb8a3dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-28T01:56:24Z","title_canon_sha256":"08b85894ba208ac55908537701c91e0bfa86b878e66e96afee657a71072f158c"},"schema_version":"1.0","source":{"id":"1404.6852","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6852","created_at":"2026-05-18T02:51:41Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6852v1","created_at":"2026-05-18T02:51:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6852","created_at":"2026-05-18T02:51:41Z"},{"alias_kind":"pith_short_12","alias_value":"BOHVSMFMKNO4","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BOHVSMFMKNO4VGSF","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BOHVSMFM","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:70c7b546fca94adf1284d57f9f39da8ddd6ed22b7c3c11c133b124727dfe7435","target":"graph","created_at":"2026-05-18T02:51:41Z","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 construct a nontrivial set of invariants for any multipartite mixed states under the SLOCC symmetry. These invariants are given by hyperdeterminants and independent from basis change. In particular, a family of d^2 invariants for arbitrary d-dimensional even partite mixed states are explicitly given.","authors_text":"Ming Li, Naihuan Jing, Shao-Ming Fei, Ting-Gui Zhang, Xianqing Li-Jost","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-28T01:56:24Z","title":"SLOCC Invariants for Multipartite Mixed States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6852","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":"sha256:453800dd2a29f319df2ad24cf10682485e82478069074d7eee6b19c78bd3e1d5","target":"record","created_at":"2026-05-18T02:51:41Z","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":"6491a5f70f0efb59911737d142ee349e978bc4231fc03af6c8119da9efb8a3dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-28T01:56:24Z","title_canon_sha256":"08b85894ba208ac55908537701c91e0bfa86b878e66e96afee657a71072f158c"},"schema_version":"1.0","source":{"id":"1404.6852","kind":"arxiv","version":1}},"canonical_sha256":"0b8f5930ac535dca9a45ec37fd5d1a5219f405520fb2a3c59cbc773afe580048","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b8f5930ac535dca9a45ec37fd5d1a5219f405520fb2a3c59cbc773afe580048","first_computed_at":"2026-05-18T02:51:41.335629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:51:41.335629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Uung4cn7+KloSxK3nQyFfvYuoO/l13P7X7NIG5KJhuK5g4Uk29hJju9E5rCU10y+Zwo8ZZoHcSij72oU61iMCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:51:41.336289Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6852","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:453800dd2a29f319df2ad24cf10682485e82478069074d7eee6b19c78bd3e1d5","sha256:70c7b546fca94adf1284d57f9f39da8ddd6ed22b7c3c11c133b124727dfe7435"],"state_sha256":"412b5ba67e3b38a24cd739e65b0d27653830d21543efeaee9e771d3d2932bb5d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IipWmXgV+vuDT6CHEy7M9H99AYsRogBGTSz7BFJMvCEcctOKPjBfnfMxJCJ4RBzVZP1Q7gIGveKonKKQ+8FJDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T21:49:21.637616Z","bundle_sha256":"25df3c87fc2febfa769fc98994faf03185eb84ea7bf5f9b8358cccbc1aae8523"}}