{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:OOAAXS6KPC45FALBP6WZ27E3OP","short_pith_number":"pith:OOAAXS6K","schema_version":"1.0","canonical_sha256":"73800bcbca78b9d281617fad9d7c9b73c7a2365e839d439430c9e8d2503f38b1","source":{"kind":"arxiv","id":"2506.04637","version":1},"attestation_state":"computed","paper":{"title":"Entanglement cost hierarchies in quantum fragmented mixed states","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Pablo Sala, Subhayan Sahu, Yahui Li","submitted_at":"2025-06-05T05:15:10Z","abstract_excerpt":"Strong symmetries enforce non-trivial quantum entanglement patterns on the stationary states of symmetric open quantum dynamics. Specifically, non-commuting conserved quantities lead to long-range quantum entanglement even for infinite temperature mixed states within fixed symmetry sectors. Leveraging the commutant algebra framework, we show that various bipartite entanglement measures for mixed states -- including exact and asymptotically-exact entanglement costs and squashed entanglement, which are generally intractable for a generic many-body mixed state -- can be computed for this class of"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2506.04637","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-06-05T05:15:10Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"456e0a5cd538d3a08d3e7b2ecfb1e06dd8d70fa99806414e78e497cfbf35e20d","abstract_canon_sha256":"bf18309b7455a62f3b5a7d1a5e784d531acb5a9b83b85c327d69d26830efe777"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:16:18.265914Z","signature_b64":"uEiLUwV3nslJrd1bHLeN8ecQhk120OkLkCfRium4bkLIN3Llje6J439A4HeM+fW1H0SqoT6IxuGjswkMQKvUCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73800bcbca78b9d281617fad9d7c9b73c7a2365e839d439430c9e8d2503f38b1","last_reissued_at":"2026-07-05T11:16:18.265425Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:16:18.265425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement cost hierarchies in quantum fragmented mixed states","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"quant-ph","authors_text":"Pablo Sala, Subhayan Sahu, Yahui Li","submitted_at":"2025-06-05T05:15:10Z","abstract_excerpt":"Strong symmetries enforce non-trivial quantum entanglement patterns on the stationary states of symmetric open quantum dynamics. Specifically, non-commuting conserved quantities lead to long-range quantum entanglement even for infinite temperature mixed states within fixed symmetry sectors. Leveraging the commutant algebra framework, we show that various bipartite entanglement measures for mixed states -- including exact and asymptotically-exact entanglement costs and squashed entanglement, which are generally intractable for a generic many-body mixed state -- can be computed for this class of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.04637","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.04637/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2506.04637","created_at":"2026-07-05T11:16:18.265492+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.04637v1","created_at":"2026-07-05T11:16:18.265492+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.04637","created_at":"2026-07-05T11:16:18.265492+00:00"},{"alias_kind":"pith_short_12","alias_value":"OOAAXS6KPC45","created_at":"2026-07-05T11:16:18.265492+00:00"},{"alias_kind":"pith_short_16","alias_value":"OOAAXS6KPC45FALB","created_at":"2026-07-05T11:16:18.265492+00:00"},{"alias_kind":"pith_short_8","alias_value":"OOAAXS6K","created_at":"2026-07-05T11:16:18.265492+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2603.02338","citing_title":"Enhancing entanglement asymmetry in fragmented quantum systems","ref_index":52,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OOAAXS6KPC45FALBP6WZ27E3OP","json":"https://pith.science/pith/OOAAXS6KPC45FALBP6WZ27E3OP.json","graph_json":"https://pith.science/api/pith-number/OOAAXS6KPC45FALBP6WZ27E3OP/graph.json","events_json":"https://pith.science/api/pith-number/OOAAXS6KPC45FALBP6WZ27E3OP/events.json","paper":"https://pith.science/paper/OOAAXS6K"},"agent_actions":{"view_html":"https://pith.science/pith/OOAAXS6KPC45FALBP6WZ27E3OP","download_json":"https://pith.science/pith/OOAAXS6KPC45FALBP6WZ27E3OP.json","view_paper":"https://pith.science/paper/OOAAXS6K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.04637&json=true","fetch_graph":"https://pith.science/api/pith-number/OOAAXS6KPC45FALBP6WZ27E3OP/graph.json","fetch_events":"https://pith.science/api/pith-number/OOAAXS6KPC45FALBP6WZ27E3OP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OOAAXS6KPC45FALBP6WZ27E3OP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OOAAXS6KPC45FALBP6WZ27E3OP/action/storage_attestation","attest_author":"https://pith.science/pith/OOAAXS6KPC45FALBP6WZ27E3OP/action/author_attestation","sign_citation":"https://pith.science/pith/OOAAXS6KPC45FALBP6WZ27E3OP/action/citation_signature","submit_replication":"https://pith.science/pith/OOAAXS6KPC45FALBP6WZ27E3OP/action/replication_record"}},"created_at":"2026-07-05T11:16:18.265492+00:00","updated_at":"2026-07-05T11:16:18.265492+00:00"}