{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:77C3LXD6QSMUYXDTFG23P6YJJQ","short_pith_number":"pith:77C3LXD6","canonical_record":{"source":{"id":"1806.11071","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-28T16:41:36Z","cross_cats_sorted":[],"title_canon_sha256":"5fdfbdcbd83451c66fa645ca35c6947f65e05627042c3e4bf81bad7289ca94bd","abstract_canon_sha256":"0874c615004789e3f988c8055b79050b2d5b22c0867ff67e995a6d769edf5d8c"},"schema_version":"1.0"},"canonical_sha256":"ffc5b5dc7e84994c5c7329b5b7fb094c30fa975eb0722c5251a78f09dc2b7fda","source":{"kind":"arxiv","id":"1806.11071","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.11071","created_at":"2026-05-18T00:12:07Z"},{"alias_kind":"arxiv_version","alias_value":"1806.11071v1","created_at":"2026-05-18T00:12:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.11071","created_at":"2026-05-18T00:12:07Z"},{"alias_kind":"pith_short_12","alias_value":"77C3LXD6QSMU","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"77C3LXD6QSMUYXDT","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"77C3LXD6","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:77C3LXD6QSMUYXDTFG23P6YJJQ","target":"record","payload":{"canonical_record":{"source":{"id":"1806.11071","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-28T16:41:36Z","cross_cats_sorted":[],"title_canon_sha256":"5fdfbdcbd83451c66fa645ca35c6947f65e05627042c3e4bf81bad7289ca94bd","abstract_canon_sha256":"0874c615004789e3f988c8055b79050b2d5b22c0867ff67e995a6d769edf5d8c"},"schema_version":"1.0"},"canonical_sha256":"ffc5b5dc7e84994c5c7329b5b7fb094c30fa975eb0722c5251a78f09dc2b7fda","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:07.084091Z","signature_b64":"NV9mDOBBMgXeWhTafuJ09nnq5Kw3I1X+ZRoUVfjZ/hWF4P3kvdcPxWdUiAz4mrqrHR5XVW1gjZ713dDPRejiBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ffc5b5dc7e84994c5c7329b5b7fb094c30fa975eb0722c5251a78f09dc2b7fda","last_reissued_at":"2026-05-18T00:12:07.083348Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:07.083348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.11071","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":"2026-05-18T00:12:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DK2dopR5vzfn9aB2z0kSIcYrfby+2QwV5meuMpFIjkCUKCAd+QOeyUCSESGIAr3ZBt25CnNul6IFLqV+6ddxBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T08:15:40.811332Z"},"content_sha256":"c1b67d06c7630a322246a1c03d36cbf4c5795ea52420add9934aa0c55b5358f3","schema_version":"1.0","event_id":"sha256:c1b67d06c7630a322246a1c03d36cbf4c5795ea52420add9934aa0c55b5358f3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:77C3LXD6QSMUYXDTFG23P6YJJQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The quantum separability problem is a simultaneous hollowisation matrix analysis problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Antoine Neven, Thierry Bastin","submitted_at":"2018-06-28T16:41:36Z","abstract_excerpt":"We use the generalized concurrence approach to investigate the general multipartite separability problem. By extending the preconcurrence matrix formalism to arbitrary multipartite systems, we show that the separability problem can be formulated equivalently as a pure matrix analysis problem that consists in determining whether a given set of symmetric matrices is simultaneously unitarily congruent to hollow matrices, i.e., to matrices whose main diagonal is only composed of zeroes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.11071","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":"2026-05-18T00:12:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ghOY9nPmzZWiXS9wyVdVKxDkGkdWuZvUjGIJ8v25bOH2IT3uyDdEm0U4CmyK9JBm69D8ukn5VDJ512rBglVDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T08:15:40.811677Z"},"content_sha256":"54991c84c3dff05c217f52df8a88deedbafd01abacc12e2c952850628724fb5f","schema_version":"1.0","event_id":"sha256:54991c84c3dff05c217f52df8a88deedbafd01abacc12e2c952850628724fb5f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/77C3LXD6QSMUYXDTFG23P6YJJQ/bundle.json","state_url":"https://pith.science/pith/77C3LXD6QSMUYXDTFG23P6YJJQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/77C3LXD6QSMUYXDTFG23P6YJJQ/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":"2026-06-25T08:15:40Z","links":{"resolver":"https://pith.science/pith/77C3LXD6QSMUYXDTFG23P6YJJQ","bundle":"https://pith.science/pith/77C3LXD6QSMUYXDTFG23P6YJJQ/bundle.json","state":"https://pith.science/pith/77C3LXD6QSMUYXDTFG23P6YJJQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/77C3LXD6QSMUYXDTFG23P6YJJQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:77C3LXD6QSMUYXDTFG23P6YJJQ","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":"0874c615004789e3f988c8055b79050b2d5b22c0867ff67e995a6d769edf5d8c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-28T16:41:36Z","title_canon_sha256":"5fdfbdcbd83451c66fa645ca35c6947f65e05627042c3e4bf81bad7289ca94bd"},"schema_version":"1.0","source":{"id":"1806.11071","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.11071","created_at":"2026-05-18T00:12:07Z"},{"alias_kind":"arxiv_version","alias_value":"1806.11071v1","created_at":"2026-05-18T00:12:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.11071","created_at":"2026-05-18T00:12:07Z"},{"alias_kind":"pith_short_12","alias_value":"77C3LXD6QSMU","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"77C3LXD6QSMUYXDT","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"77C3LXD6","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:54991c84c3dff05c217f52df8a88deedbafd01abacc12e2c952850628724fb5f","target":"graph","created_at":"2026-05-18T00:12:07Z","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 use the generalized concurrence approach to investigate the general multipartite separability problem. By extending the preconcurrence matrix formalism to arbitrary multipartite systems, we show that the separability problem can be formulated equivalently as a pure matrix analysis problem that consists in determining whether a given set of symmetric matrices is simultaneously unitarily congruent to hollow matrices, i.e., to matrices whose main diagonal is only composed of zeroes.","authors_text":"Antoine Neven, Thierry Bastin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-28T16:41:36Z","title":"The quantum separability problem is a simultaneous hollowisation matrix analysis problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.11071","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:c1b67d06c7630a322246a1c03d36cbf4c5795ea52420add9934aa0c55b5358f3","target":"record","created_at":"2026-05-18T00:12:07Z","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":"0874c615004789e3f988c8055b79050b2d5b22c0867ff67e995a6d769edf5d8c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-28T16:41:36Z","title_canon_sha256":"5fdfbdcbd83451c66fa645ca35c6947f65e05627042c3e4bf81bad7289ca94bd"},"schema_version":"1.0","source":{"id":"1806.11071","kind":"arxiv","version":1}},"canonical_sha256":"ffc5b5dc7e84994c5c7329b5b7fb094c30fa975eb0722c5251a78f09dc2b7fda","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffc5b5dc7e84994c5c7329b5b7fb094c30fa975eb0722c5251a78f09dc2b7fda","first_computed_at":"2026-05-18T00:12:07.083348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:07.083348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NV9mDOBBMgXeWhTafuJ09nnq5Kw3I1X+ZRoUVfjZ/hWF4P3kvdcPxWdUiAz4mrqrHR5XVW1gjZ713dDPRejiBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:07.084091Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.11071","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1b67d06c7630a322246a1c03d36cbf4c5795ea52420add9934aa0c55b5358f3","sha256:54991c84c3dff05c217f52df8a88deedbafd01abacc12e2c952850628724fb5f"],"state_sha256":"044978b34a32a511f1f2ae083b5e3a14e0bb1c301bb87447930599d183c71711"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wEINGltNPe0i9Vd9VTcqI0JADhgsr/fAOX6eypizVvspq+GaSPtmEdqAj/zULFK9M+KsZf6cmEi1rCOSqUcJCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T08:15:40.813643Z","bundle_sha256":"79d020aa8036da6df6c801ccf8c0063605e095747e376521f21e5f09541debae"}}