{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:FEZCX3BVUOO4UJKXM72MEZISZO","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":"6660525de4682a74868039046410f0f43cfa7a9bb651ad20cfd6f259fdff8287","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2025-12-23T07:51:55Z","title_canon_sha256":"cf550acac41980548a78d63fd7b4f8c3d20b2c5cfead3104ae528fc22c3716cd"},"schema_version":"1.0","source":{"id":"2512.20133","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.20133","created_at":"2026-06-09T01:04:40Z"},{"alias_kind":"arxiv_version","alias_value":"2512.20133v3","created_at":"2026-06-09T01:04:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.20133","created_at":"2026-06-09T01:04:40Z"},{"alias_kind":"pith_short_12","alias_value":"FEZCX3BVUOO4","created_at":"2026-06-09T01:04:40Z"},{"alias_kind":"pith_short_16","alias_value":"FEZCX3BVUOO4UJKX","created_at":"2026-06-09T01:04:40Z"},{"alias_kind":"pith_short_8","alias_value":"FEZCX3BV","created_at":"2026-06-09T01:04:40Z"}],"graph_snapshots":[{"event_id":"sha256:6426f6cc1bf0820028e0140ef484859e2b76cf69b23795319013d887e8122b9c","target":"graph","created_at":"2026-06-09T01:04:40Z","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/2512.20133/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Identifying whether a mixed quantum state is uniquely determined among all states (UDA) by its local marginals is a basic problem in quantum information theory. We establish necessary and sufficient conditions under which several classes of multipartite mixed states are UDA by their $k$-partite marginals. We also prove structural properties based on ranges and marginals, and formulate a recursive procedure for the determination of UDA states. We show that sufficiently high rank rules out unique determination from fixed-order marginals, implying that almost all multipartite mixed states are not","authors_text":"Delin Chu, Genwei Li, Lin Chen, Xinyu Qiu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2025-12-23T07:51:55Z","title":"Mixed States Uniquely Determined by Marginals and Additivity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.20133","kind":"arxiv","version":3},"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":"sha256:82a31345b1e6cc202cc678ae4d2d0e1cfc82c80bb2c7c781051719378cb732a0","target":"record","created_at":"2026-06-09T01:04:40Z","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":"6660525de4682a74868039046410f0f43cfa7a9bb651ad20cfd6f259fdff8287","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"quant-ph","submitted_at":"2025-12-23T07:51:55Z","title_canon_sha256":"cf550acac41980548a78d63fd7b4f8c3d20b2c5cfead3104ae528fc22c3716cd"},"schema_version":"1.0","source":{"id":"2512.20133","kind":"arxiv","version":3}},"canonical_sha256":"29322bec35a39dca255767f4c26512cb9014762e035dfcd7fb363dde9b69172f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29322bec35a39dca255767f4c26512cb9014762e035dfcd7fb363dde9b69172f","first_computed_at":"2026-06-09T01:04:40.541280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T01:04:40.541280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uwl6JX3REuoMBrk318WZC4Rj4CpYmApos8W5m2RLAa92zYCqiWA7Rg+uYAQgEYsMz3BXU+EBAHUs1TGmhxkCAg==","signature_status":"signed_v1","signed_at":"2026-06-09T01:04:40.541877Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.20133","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82a31345b1e6cc202cc678ae4d2d0e1cfc82c80bb2c7c781051719378cb732a0","sha256:6426f6cc1bf0820028e0140ef484859e2b76cf69b23795319013d887e8122b9c"],"state_sha256":"ea5a1be1f2c1a00ed09df50d5eec2ec61052de69e5b9517c624ff04776f04a68"}