{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:D4KCUVMOFZ6CEJC4UVYW3K2SIW","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":"d46cfdba861aee791e3858abae289c17edfb2866fb0433f79065b7f729c9abf7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-27T18:00:31Z","title_canon_sha256":"eceb8bc90955d9c056b013fa677bf86ad1ac9918d8a3fd63537fd0d61e6c7dea"},"schema_version":"1.0","source":{"id":"2504.19319","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.19319","created_at":"2026-06-30T01:17:23Z"},{"alias_kind":"arxiv_version","alias_value":"2504.19319v1","created_at":"2026-06-30T01:17:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.19319","created_at":"2026-06-30T01:17:23Z"},{"alias_kind":"pith_short_12","alias_value":"D4KCUVMOFZ6C","created_at":"2026-06-30T01:17:23Z"},{"alias_kind":"pith_short_16","alias_value":"D4KCUVMOFZ6CEJC4","created_at":"2026-06-30T01:17:23Z"},{"alias_kind":"pith_short_8","alias_value":"D4KCUVMO","created_at":"2026-06-30T01:17:23Z"}],"graph_snapshots":[{"event_id":"sha256:3b0bd57f5c5f07be6da8aefb3bacf4444a9644413b0d6746da184dc7e5040ba4","target":"graph","created_at":"2026-06-30T01:17:23Z","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/2504.19319/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Non-Gaussianity is a key resource for achieving quantum advantages in bosonic platforms. Here, we investigate the symplectic rank: a novel non-Gaussianity monotone that satisfies remarkable operational and resource-theoretic properties. Mathematically, the symplectic rank of a pure state is the number of symplectic eigenvalues of the covariance matrix that are strictly larger than the ones of the vacuum. Operationally, it (i) is easy to compute, (ii) emerges as the smallest number of modes onto which all the non-Gaussianity can be compressed via Gaussian unitaries, (iii) lower bounds the non-G","authors_text":"Francesco Anna Mele, Salvatore Francesco Emanuele Oliviero, Ulysse Chabaud, Varun Upreti","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-27T18:00:31Z","title":"The symplectic rank of non-Gaussian quantum states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.19319","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":"sha256:86ddad233b8430431bea9a8c83ee142ef4bb9b29d86a7467e41606d2b3dcb0ee","target":"record","created_at":"2026-06-30T01:17:23Z","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":"d46cfdba861aee791e3858abae289c17edfb2866fb0433f79065b7f729c9abf7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-04-27T18:00:31Z","title_canon_sha256":"eceb8bc90955d9c056b013fa677bf86ad1ac9918d8a3fd63537fd0d61e6c7dea"},"schema_version":"1.0","source":{"id":"2504.19319","kind":"arxiv","version":1}},"canonical_sha256":"1f142a558e2e7c22245ca5716dab5245a38472f98f31b12c9520316e0956b070","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f142a558e2e7c22245ca5716dab5245a38472f98f31b12c9520316e0956b070","first_computed_at":"2026-06-30T01:17:23.124530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T01:17:23.124530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6wpK3eMPmBl+AwKIktgv2eCSy9lTTx1m9fyLZlXymDTImk9yi0VvaTALBvRvGtxX+or7oK6aqmG8ZQHiROBTAA==","signature_status":"signed_v1","signed_at":"2026-06-30T01:17:23.125379Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.19319","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86ddad233b8430431bea9a8c83ee142ef4bb9b29d86a7467e41606d2b3dcb0ee","sha256:3b0bd57f5c5f07be6da8aefb3bacf4444a9644413b0d6746da184dc7e5040ba4"],"state_sha256":"46dec9849ecc8ef6ca4b53868634ab3760bea0383142566056b9d6d0d20abfc5"}