{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EUP7ZMBYU7NTATDSSZJSVNJVQD","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":"e47536e7395c5b88a0d806a9308e24bc63edd8a3cd5bd3e947e32b5fdf285d99","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-03T08:42:19Z","title_canon_sha256":"42548d140c3a212d408ebabcff391de6e083bb2fea42c9a2859d1025cec40545"},"schema_version":"1.0","source":{"id":"2608.01909","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.01909","created_at":"2026-08-04T02:07:37Z"},{"alias_kind":"arxiv_version","alias_value":"2608.01909v1","created_at":"2026-08-04T02:07:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.01909","created_at":"2026-08-04T02:07:37Z"},{"alias_kind":"pith_short_12","alias_value":"EUP7ZMBYU7NT","created_at":"2026-08-04T02:07:37Z"},{"alias_kind":"pith_short_16","alias_value":"EUP7ZMBYU7NTATDS","created_at":"2026-08-04T02:07:37Z"},{"alias_kind":"pith_short_8","alias_value":"EUP7ZMBY","created_at":"2026-08-04T02:07:37Z"}],"graph_snapshots":[{"event_id":"sha256:eca0c2ffd855d3ba7b4818bc7807b7d07673dda9339b3da8b55d1bfbe805df1a","target":"graph","created_at":"2026-08-04T02:07:37Z","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/2608.01909/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that the entanglement of formation of every two-mode Gaussian state coincides with its Gaussian restriction, solving a longstanding open problem in continuous variable quantum information theory. The key result is a sharp affine relation between entanglement and a generalized Einstein-Podolsky-Rosen observable, valid for arbitrary pure two-mode states, including non-Gaussian ones. Our result extends to bisymmetric multimode Gaussian states, and also provides a measurable lower bound on the entanglement of formation of arbitrary non-Gaussian states.","authors_text":"Gerardo Adesso","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-03T08:42:19Z","title":"Optimality of Gaussian Entanglement of Formation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.01909","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:df758a027cd2b5bc93a963b3573efe250f4c932a48898d04a141f5bfcd4fa002","target":"record","created_at":"2026-08-04T02:07:37Z","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":"e47536e7395c5b88a0d806a9308e24bc63edd8a3cd5bd3e947e32b5fdf285d99","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-03T08:42:19Z","title_canon_sha256":"42548d140c3a212d408ebabcff391de6e083bb2fea42c9a2859d1025cec40545"},"schema_version":"1.0","source":{"id":"2608.01909","kind":"arxiv","version":1}},"canonical_sha256":"251ffcb038a7db304c7296532ab53580ca40382e482bca8693b45e4dea8ca50e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"251ffcb038a7db304c7296532ab53580ca40382e482bca8693b45e4dea8ca50e","first_computed_at":"2026-08-04T02:07:37.033014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T02:07:37.033014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ebcfRhZgaeMQQfgOnBeHZf31soNxBXkaiviTEJXpbLtUYcSNbFjZ+u4nA7IzT8RZHO8NiGg8DGf3OxFGwhfhAg==","signature_status":"signed_v1","signed_at":"2026-08-04T02:07:37.034516Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.01909","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df758a027cd2b5bc93a963b3573efe250f4c932a48898d04a141f5bfcd4fa002","sha256:eca0c2ffd855d3ba7b4818bc7807b7d07673dda9339b3da8b55d1bfbe805df1a"],"state_sha256":"c744533e625221cf4dfa0e1706b4346210b2fe211da546b03577da6914c9349b"}