{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:3KQGOJFJWZ3FUOXDJHN5SAUJPP","short_pith_number":"pith:3KQGOJFJ","canonical_record":{"source":{"id":"1501.04162","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-17T05:46:20Z","cross_cats_sorted":[],"title_canon_sha256":"b3a05cac6c2e38d61711c45b137e83723beb80840ab29995e74d1fc17c096e7d","abstract_canon_sha256":"f0a1def5c2e0add0c64f570bf94db7b34f7fb3d087439c85ed6cd0e35c5b3f34"},"schema_version":"1.0"},"canonical_sha256":"daa06724a9b6765a3ae349dbd902897bd7ce0ea84ed5951af89576526ce4807f","source":{"kind":"arxiv","id":"1501.04162","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.04162","created_at":"2026-05-18T01:41:10Z"},{"alias_kind":"arxiv_version","alias_value":"1501.04162v1","created_at":"2026-05-18T01:41:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04162","created_at":"2026-05-18T01:41:10Z"},{"alias_kind":"pith_short_12","alias_value":"3KQGOJFJWZ3F","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3KQGOJFJWZ3FUOXD","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3KQGOJFJ","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:3KQGOJFJWZ3FUOXDJHN5SAUJPP","target":"record","payload":{"canonical_record":{"source":{"id":"1501.04162","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-17T05:46:20Z","cross_cats_sorted":[],"title_canon_sha256":"b3a05cac6c2e38d61711c45b137e83723beb80840ab29995e74d1fc17c096e7d","abstract_canon_sha256":"f0a1def5c2e0add0c64f570bf94db7b34f7fb3d087439c85ed6cd0e35c5b3f34"},"schema_version":"1.0"},"canonical_sha256":"daa06724a9b6765a3ae349dbd902897bd7ce0ea84ed5951af89576526ce4807f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:10.456054Z","signature_b64":"6VwaCUm8iRtOh93Z+N/cnKMp3dXFGnWzDZuTOdLhf6DEKu5GeAZBLU4tCEsbPH6nT2paUfSt5ZoRSvNBxXPHCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"daa06724a9b6765a3ae349dbd902897bd7ce0ea84ed5951af89576526ce4807f","last_reissued_at":"2026-05-18T01:41:10.455524Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:10.455524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.04162","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":"2026-05-18T01:41:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RjA5rQmJ4ELjqLMzYVqhE9pCG5hy+AQtfziZzB/YxYKIZgsoyWZyERrhVVPbiwTlFDheSdr/PIes+jLIkdeDBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:33:21.149038Z"},"content_sha256":"ea7ffa1bc0b4adb4e3c3ef240274a1d45232ea1faaf272b27ec580386359d040","schema_version":"1.0","event_id":"sha256:ea7ffa1bc0b4adb4e3c3ef240274a1d45232ea1faaf272b27ec580386359d040"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:3KQGOJFJWZ3FUOXDJHN5SAUJPP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Criteria for non-$k$-separability of $n$-partite quantum states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"M. Senthilvelan, N. Ananth, V.K. Chandrasekar","submitted_at":"2015-01-17T05:46:20Z","abstract_excerpt":"We develop separability criteria to identify non-$k$-separability $(k = 2,3,\\ldots,n)$ and genuine multipartite entanglement in different classes of mixed $n$-partite quantum states using elements of density matrices. With the help of these criteria, we detect non-$k$-separability in $n$-qudit GHZ and W states respectively added with white noise. We also discuss the experimental implementation of our criteria by means of local observables."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04162","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":"2026-05-18T01:41:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zjFxbR/ZNHYvsSi/cWIsqDrVzJeBk2gXqxM3bwFK+pcO1tFbelfP3eoYJU2PQXnbQlQVvCGOb7addCXgpWFvBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:33:21.149622Z"},"content_sha256":"7994a25c180cd60622fdcf71a93b0c4144624dc3f3c1e6fda102573413742895","schema_version":"1.0","event_id":"sha256:7994a25c180cd60622fdcf71a93b0c4144624dc3f3c1e6fda102573413742895"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3KQGOJFJWZ3FUOXDJHN5SAUJPP/bundle.json","state_url":"https://pith.science/pith/3KQGOJFJWZ3FUOXDJHN5SAUJPP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3KQGOJFJWZ3FUOXDJHN5SAUJPP/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":"2026-06-07T14:33:21Z","links":{"resolver":"https://pith.science/pith/3KQGOJFJWZ3FUOXDJHN5SAUJPP","bundle":"https://pith.science/pith/3KQGOJFJWZ3FUOXDJHN5SAUJPP/bundle.json","state":"https://pith.science/pith/3KQGOJFJWZ3FUOXDJHN5SAUJPP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3KQGOJFJWZ3FUOXDJHN5SAUJPP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3KQGOJFJWZ3FUOXDJHN5SAUJPP","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":"f0a1def5c2e0add0c64f570bf94db7b34f7fb3d087439c85ed6cd0e35c5b3f34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-17T05:46:20Z","title_canon_sha256":"b3a05cac6c2e38d61711c45b137e83723beb80840ab29995e74d1fc17c096e7d"},"schema_version":"1.0","source":{"id":"1501.04162","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.04162","created_at":"2026-05-18T01:41:10Z"},{"alias_kind":"arxiv_version","alias_value":"1501.04162v1","created_at":"2026-05-18T01:41:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04162","created_at":"2026-05-18T01:41:10Z"},{"alias_kind":"pith_short_12","alias_value":"3KQGOJFJWZ3F","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3KQGOJFJWZ3FUOXD","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3KQGOJFJ","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:7994a25c180cd60622fdcf71a93b0c4144624dc3f3c1e6fda102573413742895","target":"graph","created_at":"2026-05-18T01:41:10Z","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 develop separability criteria to identify non-$k$-separability $(k = 2,3,\\ldots,n)$ and genuine multipartite entanglement in different classes of mixed $n$-partite quantum states using elements of density matrices. With the help of these criteria, we detect non-$k$-separability in $n$-qudit GHZ and W states respectively added with white noise. We also discuss the experimental implementation of our criteria by means of local observables.","authors_text":"M. Senthilvelan, N. Ananth, V.K. Chandrasekar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-17T05:46:20Z","title":"Criteria for non-$k$-separability of $n$-partite quantum states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04162","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:ea7ffa1bc0b4adb4e3c3ef240274a1d45232ea1faaf272b27ec580386359d040","target":"record","created_at":"2026-05-18T01:41:10Z","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":"f0a1def5c2e0add0c64f570bf94db7b34f7fb3d087439c85ed6cd0e35c5b3f34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-17T05:46:20Z","title_canon_sha256":"b3a05cac6c2e38d61711c45b137e83723beb80840ab29995e74d1fc17c096e7d"},"schema_version":"1.0","source":{"id":"1501.04162","kind":"arxiv","version":1}},"canonical_sha256":"daa06724a9b6765a3ae349dbd902897bd7ce0ea84ed5951af89576526ce4807f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"daa06724a9b6765a3ae349dbd902897bd7ce0ea84ed5951af89576526ce4807f","first_computed_at":"2026-05-18T01:41:10.455524Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:10.455524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6VwaCUm8iRtOh93Z+N/cnKMp3dXFGnWzDZuTOdLhf6DEKu5GeAZBLU4tCEsbPH6nT2paUfSt5ZoRSvNBxXPHCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:10.456054Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.04162","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea7ffa1bc0b4adb4e3c3ef240274a1d45232ea1faaf272b27ec580386359d040","sha256:7994a25c180cd60622fdcf71a93b0c4144624dc3f3c1e6fda102573413742895"],"state_sha256":"f938853ad9b079fb90182c8db30385db1d76c344d9e232ab68503a4790fd8566"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aV24FkQg0TcSHZrZglEokBJyB/PBcWQaE+rYV2ghVf/blvfGMUsivh5mA1pNbgGgomIvaDXB4jV0bYO8i12eDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T14:33:21.152578Z","bundle_sha256":"aba01e80b632dbffa3c68ba9f62826b5b39a01ceb2904a726c60eac6031c5592"}}