{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:MK57WQIGDTRK4X2MVZI6B7PKJY","short_pith_number":"pith:MK57WQIG","canonical_record":{"source":{"id":"1409.5347","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-18T15:43:24Z","cross_cats_sorted":[],"title_canon_sha256":"acefe0bf5e08be4dad72cdd822b1b0d0607193eb1c352246082df1f91b632640","abstract_canon_sha256":"963bdf684bb3fbb4cc34f9b275e8c6a17aed3fe5c4a5639eeaec14b9304e8d18"},"schema_version":"1.0"},"canonical_sha256":"62bbfb41061ce2ae5f4cae51e0fdea4e3f6d3be217c95253979b30ce3171f774","source":{"kind":"arxiv","id":"1409.5347","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5347","created_at":"2026-05-18T02:33:00Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5347v2","created_at":"2026-05-18T02:33:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5347","created_at":"2026-05-18T02:33:00Z"},{"alias_kind":"pith_short_12","alias_value":"MK57WQIGDTRK","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MK57WQIGDTRK4X2M","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MK57WQIG","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:MK57WQIGDTRK4X2MVZI6B7PKJY","target":"record","payload":{"canonical_record":{"source":{"id":"1409.5347","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-18T15:43:24Z","cross_cats_sorted":[],"title_canon_sha256":"acefe0bf5e08be4dad72cdd822b1b0d0607193eb1c352246082df1f91b632640","abstract_canon_sha256":"963bdf684bb3fbb4cc34f9b275e8c6a17aed3fe5c4a5639eeaec14b9304e8d18"},"schema_version":"1.0"},"canonical_sha256":"62bbfb41061ce2ae5f4cae51e0fdea4e3f6d3be217c95253979b30ce3171f774","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:00.960266Z","signature_b64":"tFIeAC8Lr7fhsuaIY/1IJr37CfwQstRsWxJaIba8dHg8q+fhdimP3XyNfghQ5SA4sJmSMsrg5S5WJQQX4aaYAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62bbfb41061ce2ae5f4cae51e0fdea4e3f6d3be217c95253979b30ce3171f774","last_reissued_at":"2026-05-18T02:33:00.959919Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:00.959919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.5347","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:33:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UTib3hg9dK/evFg+Yz6IeEzP2Ve8LpZ/1dAhpDW0YhFbLTq+JCq3Bx173wTrtNNxf22hAKOA7GLWMHSEXqSMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:17:59.889695Z"},"content_sha256":"f422f2b4f625af7a5f6ebabbc5472e743e389f1425bdcf0eb216eaab144f3105","schema_version":"1.0","event_id":"sha256:f422f2b4f625af7a5f6ebabbc5472e743e389f1425bdcf0eb216eaab144f3105"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:MK57WQIGDTRK4X2MVZI6B7PKJY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hierarchies of multipartite entanglement for continuous-variable states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Antonio A. Valido, Federico Levi, Florian Mintert","submitted_at":"2014-09-18T15:43:24Z","abstract_excerpt":"We derive a hierarchy of separability criteria for multi-mode continuous variable systems. They permit to study in a unified way the k-partite entanglement of broad classes of Gaussian and non- Gaussian states. With specific examples we demonstrate the strength of the criteria, and, we discuss their assessment based on data obtained from Gaussian measurements."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5347","kind":"arxiv","version":2},"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":"2026-05-18T02:33:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GWDE1t31ROLEi9bAxqzBDSW0JMBXdrFo+fPdYVtw4aS3LB9ISImHgis1/OcYnR4pFd5G6PCCASHhKBbv8FgYCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T05:17:59.890445Z"},"content_sha256":"0aba252955daa8d9cbbd29db24cd61c8514d21a95e16169ddbe99240bcbcbc14","schema_version":"1.0","event_id":"sha256:0aba252955daa8d9cbbd29db24cd61c8514d21a95e16169ddbe99240bcbcbc14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MK57WQIGDTRK4X2MVZI6B7PKJY/bundle.json","state_url":"https://pith.science/pith/MK57WQIGDTRK4X2MVZI6B7PKJY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MK57WQIGDTRK4X2MVZI6B7PKJY/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":"2026-05-31T05:17:59Z","links":{"resolver":"https://pith.science/pith/MK57WQIGDTRK4X2MVZI6B7PKJY","bundle":"https://pith.science/pith/MK57WQIGDTRK4X2MVZI6B7PKJY/bundle.json","state":"https://pith.science/pith/MK57WQIGDTRK4X2MVZI6B7PKJY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MK57WQIGDTRK4X2MVZI6B7PKJY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MK57WQIGDTRK4X2MVZI6B7PKJY","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":"963bdf684bb3fbb4cc34f9b275e8c6a17aed3fe5c4a5639eeaec14b9304e8d18","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-18T15:43:24Z","title_canon_sha256":"acefe0bf5e08be4dad72cdd822b1b0d0607193eb1c352246082df1f91b632640"},"schema_version":"1.0","source":{"id":"1409.5347","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.5347","created_at":"2026-05-18T02:33:00Z"},{"alias_kind":"arxiv_version","alias_value":"1409.5347v2","created_at":"2026-05-18T02:33:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.5347","created_at":"2026-05-18T02:33:00Z"},{"alias_kind":"pith_short_12","alias_value":"MK57WQIGDTRK","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MK57WQIGDTRK4X2M","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MK57WQIG","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:0aba252955daa8d9cbbd29db24cd61c8514d21a95e16169ddbe99240bcbcbc14","target":"graph","created_at":"2026-05-18T02:33:00Z","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 derive a hierarchy of separability criteria for multi-mode continuous variable systems. They permit to study in a unified way the k-partite entanglement of broad classes of Gaussian and non- Gaussian states. With specific examples we demonstrate the strength of the criteria, and, we discuss their assessment based on data obtained from Gaussian measurements.","authors_text":"Antonio A. Valido, Federico Levi, Florian Mintert","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-18T15:43:24Z","title":"Hierarchies of multipartite entanglement for continuous-variable states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5347","kind":"arxiv","version":2},"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:f422f2b4f625af7a5f6ebabbc5472e743e389f1425bdcf0eb216eaab144f3105","target":"record","created_at":"2026-05-18T02:33:00Z","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":"963bdf684bb3fbb4cc34f9b275e8c6a17aed3fe5c4a5639eeaec14b9304e8d18","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-09-18T15:43:24Z","title_canon_sha256":"acefe0bf5e08be4dad72cdd822b1b0d0607193eb1c352246082df1f91b632640"},"schema_version":"1.0","source":{"id":"1409.5347","kind":"arxiv","version":2}},"canonical_sha256":"62bbfb41061ce2ae5f4cae51e0fdea4e3f6d3be217c95253979b30ce3171f774","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62bbfb41061ce2ae5f4cae51e0fdea4e3f6d3be217c95253979b30ce3171f774","first_computed_at":"2026-05-18T02:33:00.959919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:00.959919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tFIeAC8Lr7fhsuaIY/1IJr37CfwQstRsWxJaIba8dHg8q+fhdimP3XyNfghQ5SA4sJmSMsrg5S5WJQQX4aaYAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:00.960266Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.5347","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f422f2b4f625af7a5f6ebabbc5472e743e389f1425bdcf0eb216eaab144f3105","sha256:0aba252955daa8d9cbbd29db24cd61c8514d21a95e16169ddbe99240bcbcbc14"],"state_sha256":"4ec987e1b0c3368033986dafa0cac4a78bfb3b32241e2c30df7b787f0340319f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"se3eGD+Pk9LW08uyrjgZtgUv0pS9iJo9Gl5eVZr1ZmLQVQx2JUIL2X5qKp0O3UZLirC668yPD5ODUEO/OqLsDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T05:17:59.893857Z","bundle_sha256":"0cd1d3d43f7caa79faff9abe8b7d47aadfa9dc2bc61411e6f7f5a395762927d1"}}