{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:IEWFXQ5KZZA66WNEGRY52XKMO5","short_pith_number":"pith:IEWFXQ5K","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"},"canonical_sha256":"412c5bc3aace41ef59a43471dd5d4c775b060b3e19616c3ebd9d51c3f8717e4b","source":{"kind":"arxiv","id":"2310.07286","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.07286","created_at":"2026-07-05T08:49:51Z"},{"alias_kind":"arxiv_version","alias_value":"2310.07286v2","created_at":"2026-07-05T08:49:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.07286","created_at":"2026-07-05T08:49:51Z"},{"alias_kind":"pith_short_12","alias_value":"IEWFXQ5KZZA6","created_at":"2026-07-05T08:49:51Z"},{"alias_kind":"pith_short_16","alias_value":"IEWFXQ5KZZA66WNE","created_at":"2026-07-05T08:49:51Z"},{"alias_kind":"pith_short_8","alias_value":"IEWFXQ5K","created_at":"2026-07-05T08:49:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:IEWFXQ5KZZA66WNEGRY52XKMO5","target":"record","payload":{"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"},"canonical_sha256":"412c5bc3aace41ef59a43471dd5d4c775b060b3e19616c3ebd9d51c3f8717e4b","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"},"source_kind":"arxiv","source_id":"2310.07286","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:49:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9acsgMKnoa8mo9RXaQJwvoftTXh953sIXykuLp0+yoxW+X1I2hZ5ykVwz2ltNbJPXgMKZHVoVIIbdb4d0gpLCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T03:13:15.106639Z"},"content_sha256":"b30d8eb547f1c95a465a92f225842f6a1449d5fdb7d3ba96121892e23fe37a7a","schema_version":"1.0","event_id":"sha256:b30d8eb547f1c95a465a92f225842f6a1449d5fdb7d3ba96121892e23fe37a7a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:IEWFXQ5KZZA66WNEGRY52XKMO5","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:49:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XFyvBBuf9DvvP9QnR+swnpshXL/UcqL64CxMDn+7yxkQ73bKTxajwvwBcKGzL5zCWdZNy18pSiY7XKbQh07rBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T03:13:15.107530Z"},"content_sha256":"0aaa92795f26430127a5280c987af276c4fc786ae79e51b6bc9d2ce56cdf9c07","schema_version":"1.0","event_id":"sha256:0aaa92795f26430127a5280c987af276c4fc786ae79e51b6bc9d2ce56cdf9c07"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IEWFXQ5KZZA66WNEGRY52XKMO5/bundle.json","state_url":"https://pith.science/pith/IEWFXQ5KZZA66WNEGRY52XKMO5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IEWFXQ5KZZA66WNEGRY52XKMO5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-10T03:13:15Z","links":{"resolver":"https://pith.science/pith/IEWFXQ5KZZA66WNEGRY52XKMO5","bundle":"https://pith.science/pith/IEWFXQ5KZZA66WNEGRY52XKMO5/bundle.json","state":"https://pith.science/pith/IEWFXQ5KZZA66WNEGRY52XKMO5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IEWFXQ5KZZA66WNEGRY52XKMO5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:IEWFXQ5KZZA66WNEGRY52XKMO5","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":"bcefc8bf862557752f930b41a518c96ab1f97ca65f685ddf2edb95b82b6c4617","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-11T08:18:51Z","title_canon_sha256":"7ba8e5433332b18c14265362843e6095daf3116be9a044d37d73b67cbcb66775"},"schema_version":"1.0","source":{"id":"2310.07286","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.07286","created_at":"2026-07-05T08:49:51Z"},{"alias_kind":"arxiv_version","alias_value":"2310.07286v2","created_at":"2026-07-05T08:49:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.07286","created_at":"2026-07-05T08:49:51Z"},{"alias_kind":"pith_short_12","alias_value":"IEWFXQ5KZZA6","created_at":"2026-07-05T08:49:51Z"},{"alias_kind":"pith_short_16","alias_value":"IEWFXQ5KZZA66WNE","created_at":"2026-07-05T08:49:51Z"},{"alias_kind":"pith_short_8","alias_value":"IEWFXQ5K","created_at":"2026-07-05T08:49:51Z"}],"graph_snapshots":[{"event_id":"sha256:0aaa92795f26430127a5280c987af276c4fc786ae79e51b6bc9d2ce56cdf9c07","target":"graph","created_at":"2026-07-05T08:49:51Z","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/2310.07286/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Tarun Grover, Yu-Hsueh Chen","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-11T08:18:51Z","title":"Symmetry-enforced many-body separability transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.07286","kind":"arxiv","version":2},"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:b30d8eb547f1c95a465a92f225842f6a1449d5fdb7d3ba96121892e23fe37a7a","target":"record","created_at":"2026-07-05T08:49:51Z","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":"bcefc8bf862557752f930b41a518c96ab1f97ca65f685ddf2edb95b82b6c4617","cross_cats_sorted":["cond-mat.stat-mech","cond-mat.str-el","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2023-10-11T08:18:51Z","title_canon_sha256":"7ba8e5433332b18c14265362843e6095daf3116be9a044d37d73b67cbcb66775"},"schema_version":"1.0","source":{"id":"2310.07286","kind":"arxiv","version":2}},"canonical_sha256":"412c5bc3aace41ef59a43471dd5d4c775b060b3e19616c3ebd9d51c3f8717e4b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"412c5bc3aace41ef59a43471dd5d4c775b060b3e19616c3ebd9d51c3f8717e4b","first_computed_at":"2026-07-05T08:49:51.548253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:49:51.548253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l0UMknl3mjWjgJ0JP2xhWshNJEAuJwp8G+x6Ls3nstf9BcBQ18s9DK+zmUlNrY6/OJC9b12zOEDehh93S1ABBA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:49:51.548688Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.07286","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b30d8eb547f1c95a465a92f225842f6a1449d5fdb7d3ba96121892e23fe37a7a","sha256:0aaa92795f26430127a5280c987af276c4fc786ae79e51b6bc9d2ce56cdf9c07"],"state_sha256":"e08a25395e0339f8add50e636ee0f82e2be6878d040b16f00c365938d2d01990"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lDmt46/jWpEW6c0WBs1bkbn0Jr+W1zonN1lujy0RPtdeTMByLtZhj1Hi5hY5zns5lSFtMyO1b6ADSPlvyv18BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T03:13:15.113789Z","bundle_sha256":"7743ed6dffdbedb3b96ef65b3acfb702cfd7c7d9dc8b1fdd2da5cdad8f0f01a5"}}