{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:A6EWCQAKSPQWL4TRFME4FTAIR6","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":"dd5d6bda7be0f9b244751c1d53dde3c3c9062d40dc8c11addc41ed5e94fff325","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-12-06T18:28:18Z","title_canon_sha256":"5887626f6c50049f0e7199e245c4be8b57918d7c5dae36a0b3c36d2c4f792019"},"schema_version":"1.0","source":{"id":"1912.03284","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.03284","created_at":"2026-07-05T01:20:50Z"},{"alias_kind":"arxiv_version","alias_value":"1912.03284v2","created_at":"2026-07-05T01:20:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.03284","created_at":"2026-07-05T01:20:50Z"},{"alias_kind":"pith_short_12","alias_value":"A6EWCQAKSPQW","created_at":"2026-07-05T01:20:50Z"},{"alias_kind":"pith_short_16","alias_value":"A6EWCQAKSPQWL4TR","created_at":"2026-07-05T01:20:50Z"},{"alias_kind":"pith_short_8","alias_value":"A6EWCQAK","created_at":"2026-07-05T01:20:50Z"}],"graph_snapshots":[{"event_id":"sha256:e324be9aaa78982aace085fafdb7b456f0ca1620c5964243357fc7eb28a31cb6","target":"graph","created_at":"2026-07-05T01:20:50Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1912.03284/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Genuine multimode entanglement in continuous variable systems can be quantified by exploring the geometry of the state-space, namely via the generalized geometric measure (GGM) which is defined as the shortest distance of a given multimode state from a nongenunely multimode entangled state. For multimode Gaussian states, we derive a closed form expression of GGM in terms of the symplectic invariants of the reduced states. Following that prescription, the characteristics of GGM for typical three- and four-mode Gaussian states are investigated. In the non-Gaussian paradigm, we compute GGM for ph","authors_text":"Aditi Sen De, Saptarshi Roy, Tamoghna Das","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-12-06T18:28:18Z","title":"Computable genuine multimode entanglement measure: Gaussian vs. non-Gaussian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.03284","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:ef5f9f237e46924340ce0427e3cb85a7a9d33b6f76be76b36c67c5dd8142968b","target":"record","created_at":"2026-07-05T01:20:50Z","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":"dd5d6bda7be0f9b244751c1d53dde3c3c9062d40dc8c11addc41ed5e94fff325","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-12-06T18:28:18Z","title_canon_sha256":"5887626f6c50049f0e7199e245c4be8b57918d7c5dae36a0b3c36d2c4f792019"},"schema_version":"1.0","source":{"id":"1912.03284","kind":"arxiv","version":2}},"canonical_sha256":"078961400a93e165f2712b09c2cc088f95a05c1f17d66b3d91074fb84356e468","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"078961400a93e165f2712b09c2cc088f95a05c1f17d66b3d91074fb84356e468","first_computed_at":"2026-07-05T01:20:50.298648Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:20:50.298648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kv609iDGEt1jc2haUpUjEnBpo7AkVLwSS22vKMf0XcfAjCdt2HK8VkfFJYTJK9mhTfZnpTbDF2e6W+ryl11iCw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:20:50.299118Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.03284","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef5f9f237e46924340ce0427e3cb85a7a9d33b6f76be76b36c67c5dd8142968b","sha256:e324be9aaa78982aace085fafdb7b456f0ca1620c5964243357fc7eb28a31cb6"],"state_sha256":"66d051f5c774a7a314ba4622e8432d240574f0ec589808ae8215da17426608a1"}