{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:IEWFXQ5KZZA66WNEGRY52XKMO5","short_pith_number":"pith:IEWFXQ5K","schema_version":"1.0","canonical_sha256":"412c5bc3aace41ef59a43471dd5d4c775b060b3e19616c3ebd9d51c3f8717e4b","source":{"kind":"arxiv","id":"2310.07286","version":2},"attestation_state":"computed","paper":{"title":"Symmetry-enforced many-body separability transitions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"primary_cat":"quant-ph","authors_text":"Tarun Grover, Yu-Hsueh Chen","submitted_at":"2023-10-11T08:18:51Z","abstract_excerpt":"We study quantum many-body mixed states with a symmetry from the perspective of separability, i.e., whether a mixed state can be expressed as an ensemble of short-range entangled (SRE) symmetric pure states. We provide evidence for 'symmetry-enforced separability transitions' in a variety of states, where in one regime the mixed state is expressible as a convex sum of symmetric SRE pure states, while in the other regime, such a representation is not feasible. We first discuss Gibbs state of Hamiltonians that exhibit spontaneous breaking of a discrete symmetry, and argue that the associated the"},"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":"2310.07286","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-11T08:18:51Z","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"title_canon_sha256":"7ba8e5433332b18c14265362843e6095daf3116be9a044d37d73b67cbcb66775","abstract_canon_sha256":"bcefc8bf862557752f930b41a518c96ab1f97ca65f685ddf2edb95b82b6c4617"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:49:51.548688Z","signature_b64":"l0UMknl3mjWjgJ0JP2xhWshNJEAuJwp8G+x6Ls3nstf9BcBQ18s9DK+zmUlNrY6/OJC9b12zOEDehh93S1ABBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"412c5bc3aace41ef59a43471dd5d4c775b060b3e19616c3ebd9d51c3f8717e4b","last_reissued_at":"2026-07-05T08:49:51.548253Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:49:51.548253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry-enforced many-body separability transitions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"primary_cat":"quant-ph","authors_text":"Tarun Grover, Yu-Hsueh Chen","submitted_at":"2023-10-11T08:18:51Z","abstract_excerpt":"We study quantum many-body mixed states with a symmetry from the perspective of separability, i.e., whether a mixed state can be expressed as an ensemble of short-range entangled (SRE) symmetric pure states. We provide evidence for 'symmetry-enforced separability transitions' in a variety of states, where in one regime the mixed state is expressible as a convex sum of symmetric SRE pure states, while in the other regime, such a representation is not feasible. We first discuss Gibbs state of Hamiltonians that exhibit spontaneous breaking of a discrete symmetry, and argue that the associated the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.07286","kind":"arxiv","version":2},"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/2310.07286/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":"2310.07286","created_at":"2026-07-05T08:49:51.548309+00:00"},{"alias_kind":"arxiv_version","alias_value":"2310.07286v2","created_at":"2026-07-05T08:49:51.548309+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.07286","created_at":"2026-07-05T08:49:51.548309+00:00"},{"alias_kind":"pith_short_12","alias_value":"IEWFXQ5KZZA6","created_at":"2026-07-05T08:49:51.548309+00:00"},{"alias_kind":"pith_short_16","alias_value":"IEWFXQ5KZZA66WNE","created_at":"2026-07-05T08:49:51.548309+00:00"},{"alias_kind":"pith_short_8","alias_value":"IEWFXQ5K","created_at":"2026-07-05T08:49:51.548309+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.28967","citing_title":"Local Strong-to-Weak Spontaneous Symmetry Breaking","ref_index":31,"is_internal_anchor":false},{"citing_arxiv_id":"2406.19381","citing_title":"Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak","ref_index":39,"is_internal_anchor":false},{"citing_arxiv_id":"2509.24179","citing_title":"Strong-to-weak spontaneous symmetry breaking of higher-form non-invertible symmetries in Kitaev's quantum double model","ref_index":32,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IEWFXQ5KZZA66WNEGRY52XKMO5","json":"https://pith.science/pith/IEWFXQ5KZZA66WNEGRY52XKMO5.json","graph_json":"https://pith.science/api/pith-number/IEWFXQ5KZZA66WNEGRY52XKMO5/graph.json","events_json":"https://pith.science/api/pith-number/IEWFXQ5KZZA66WNEGRY52XKMO5/events.json","paper":"https://pith.science/paper/IEWFXQ5K"},"agent_actions":{"view_html":"https://pith.science/pith/IEWFXQ5KZZA66WNEGRY52XKMO5","download_json":"https://pith.science/pith/IEWFXQ5KZZA66WNEGRY52XKMO5.json","view_paper":"https://pith.science/paper/IEWFXQ5K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2310.07286&json=true","fetch_graph":"https://pith.science/api/pith-number/IEWFXQ5KZZA66WNEGRY52XKMO5/graph.json","fetch_events":"https://pith.science/api/pith-number/IEWFXQ5KZZA66WNEGRY52XKMO5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IEWFXQ5KZZA66WNEGRY52XKMO5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IEWFXQ5KZZA66WNEGRY52XKMO5/action/storage_attestation","attest_author":"https://pith.science/pith/IEWFXQ5KZZA66WNEGRY52XKMO5/action/author_attestation","sign_citation":"https://pith.science/pith/IEWFXQ5KZZA66WNEGRY52XKMO5/action/citation_signature","submit_replication":"https://pith.science/pith/IEWFXQ5KZZA66WNEGRY52XKMO5/action/replication_record"}},"created_at":"2026-07-05T08:49:51.548309+00:00","updated_at":"2026-07-05T08:49:51.548309+00:00"}