{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:U7AVC3NKSB2XFYYZENYOZ3SP2G","short_pith_number":"pith:U7AVC3NK","canonical_record":{"source":{"id":"2409.08735","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-09-13T11:35:09Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"718dc27f6a1d9bfc0a8a1f2c2144178330a622d76c9dab1b9cce9b227c0b8acd","abstract_canon_sha256":"4f54d8d14b8692ece49c4dbc249f80496708d6798805ffd23ce4e2fa1146e568"},"schema_version":"1.0"},"canonical_sha256":"a7c1516daa907572e3192370ecee4fd19940f87802d017c23187a8b8d489bb65","source":{"kind":"arxiv","id":"2409.08735","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.08735","created_at":"2026-07-05T09:06:46Z"},{"alias_kind":"arxiv_version","alias_value":"2409.08735v1","created_at":"2026-07-05T09:06:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.08735","created_at":"2026-07-05T09:06:46Z"},{"alias_kind":"pith_short_12","alias_value":"U7AVC3NKSB2X","created_at":"2026-07-05T09:06:46Z"},{"alias_kind":"pith_short_16","alias_value":"U7AVC3NKSB2XFYYZ","created_at":"2026-07-05T09:06:46Z"},{"alias_kind":"pith_short_8","alias_value":"U7AVC3NK","created_at":"2026-07-05T09:06:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:U7AVC3NKSB2XFYYZENYOZ3SP2G","target":"record","payload":{"canonical_record":{"source":{"id":"2409.08735","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-09-13T11:35:09Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"718dc27f6a1d9bfc0a8a1f2c2144178330a622d76c9dab1b9cce9b227c0b8acd","abstract_canon_sha256":"4f54d8d14b8692ece49c4dbc249f80496708d6798805ffd23ce4e2fa1146e568"},"schema_version":"1.0"},"canonical_sha256":"a7c1516daa907572e3192370ecee4fd19940f87802d017c23187a8b8d489bb65","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:06:46.457563Z","signature_b64":"Gp92v6T8zE8QmUPHCFBAB/03PeQu61PLwQb7Gka8fWrVY2ETm9SUQtAMEh7QSKSdn8PdeJ+umBmFbz2tSjLwBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7c1516daa907572e3192370ecee4fd19940f87802d017c23187a8b8d489bb65","last_reissued_at":"2026-07-05T09:06:46.457145Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:06:46.457145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.08735","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:06:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zzK/vZsoQf1UvWu0Wmye26cCGmpOVWM0OhP1feJKHjvubeNHqzEkQZl4JBbQLZ0MzzLie8HzGqNBvU0wmSefBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T19:49:05.784406Z"},"content_sha256":"8dceef0e091ba1b021361670f7e3f6e2203fc4a17db23b54c63ecb5860eda911","schema_version":"1.0","event_id":"sha256:8dceef0e091ba1b021361670f7e3f6e2203fc4a17db23b54c63ecb5860eda911"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:U7AVC3NKSB2XFYYZENYOZ3SP2G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dynamical symmetry restoration in the Heisenberg spin chain","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Colin Rylands, Eric Vernier, Pasquale Calabrese","submitted_at":"2024-09-13T11:35:09Z","abstract_excerpt":"The entanglement asymmetry is an observable independent tool to investigate the relaxation of quantum many body systems through the restoration of an initially broken symmetry of the dynamics. In this paper we use this to investigate the effects of interactions on quantum relaxation in a paradigmatic integrable model. Specifically, we study the dynamical restoration of the $U(1)$ symmetry corresponding to rotations about the $z$-axis in the XXZ model quenched from a tilted ferromagnetic state. We find two distinct patterns of behaviour depending upon the interaction regime of the model. In the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.08735","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/2409.08735/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":"2026-07-05T09:06:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VRuWtebnR+nhDVssvX6zJjA2CYaNn5dhfQas4h0NvUFwucRIvLBYQaqXoy+w3pfqmUHUFFEydzOKxGe8eqnVAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T19:49:05.784877Z"},"content_sha256":"19afcbfae319cc3878be26662674c2067e94b0b8803865c625a44220b816c6a7","schema_version":"1.0","event_id":"sha256:19afcbfae319cc3878be26662674c2067e94b0b8803865c625a44220b816c6a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U7AVC3NKSB2XFYYZENYOZ3SP2G/bundle.json","state_url":"https://pith.science/pith/U7AVC3NKSB2XFYYZENYOZ3SP2G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U7AVC3NKSB2XFYYZENYOZ3SP2G/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":"2026-08-02T19:49:05Z","links":{"resolver":"https://pith.science/pith/U7AVC3NKSB2XFYYZENYOZ3SP2G","bundle":"https://pith.science/pith/U7AVC3NKSB2XFYYZENYOZ3SP2G/bundle.json","state":"https://pith.science/pith/U7AVC3NKSB2XFYYZENYOZ3SP2G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U7AVC3NKSB2XFYYZENYOZ3SP2G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:U7AVC3NKSB2XFYYZENYOZ3SP2G","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":"4f54d8d14b8692ece49c4dbc249f80496708d6798805ffd23ce4e2fa1146e568","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-09-13T11:35:09Z","title_canon_sha256":"718dc27f6a1d9bfc0a8a1f2c2144178330a622d76c9dab1b9cce9b227c0b8acd"},"schema_version":"1.0","source":{"id":"2409.08735","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.08735","created_at":"2026-07-05T09:06:46Z"},{"alias_kind":"arxiv_version","alias_value":"2409.08735v1","created_at":"2026-07-05T09:06:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.08735","created_at":"2026-07-05T09:06:46Z"},{"alias_kind":"pith_short_12","alias_value":"U7AVC3NKSB2X","created_at":"2026-07-05T09:06:46Z"},{"alias_kind":"pith_short_16","alias_value":"U7AVC3NKSB2XFYYZ","created_at":"2026-07-05T09:06:46Z"},{"alias_kind":"pith_short_8","alias_value":"U7AVC3NK","created_at":"2026-07-05T09:06:46Z"}],"graph_snapshots":[{"event_id":"sha256:19afcbfae319cc3878be26662674c2067e94b0b8803865c625a44220b816c6a7","target":"graph","created_at":"2026-07-05T09:06:46Z","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/2409.08735/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The entanglement asymmetry is an observable independent tool to investigate the relaxation of quantum many body systems through the restoration of an initially broken symmetry of the dynamics. In this paper we use this to investigate the effects of interactions on quantum relaxation in a paradigmatic integrable model. Specifically, we study the dynamical restoration of the $U(1)$ symmetry corresponding to rotations about the $z$-axis in the XXZ model quenched from a tilted ferromagnetic state. We find two distinct patterns of behaviour depending upon the interaction regime of the model. In the","authors_text":"Colin Rylands, Eric Vernier, Pasquale Calabrese","cross_cats":["quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-09-13T11:35:09Z","title":"Dynamical symmetry restoration in the Heisenberg spin chain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.08735","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":"sha256:8dceef0e091ba1b021361670f7e3f6e2203fc4a17db23b54c63ecb5860eda911","target":"record","created_at":"2026-07-05T09:06:46Z","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":"4f54d8d14b8692ece49c4dbc249f80496708d6798805ffd23ce4e2fa1146e568","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-09-13T11:35:09Z","title_canon_sha256":"718dc27f6a1d9bfc0a8a1f2c2144178330a622d76c9dab1b9cce9b227c0b8acd"},"schema_version":"1.0","source":{"id":"2409.08735","kind":"arxiv","version":1}},"canonical_sha256":"a7c1516daa907572e3192370ecee4fd19940f87802d017c23187a8b8d489bb65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7c1516daa907572e3192370ecee4fd19940f87802d017c23187a8b8d489bb65","first_computed_at":"2026-07-05T09:06:46.457145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:06:46.457145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gp92v6T8zE8QmUPHCFBAB/03PeQu61PLwQb7Gka8fWrVY2ETm9SUQtAMEh7QSKSdn8PdeJ+umBmFbz2tSjLwBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:06:46.457563Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.08735","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8dceef0e091ba1b021361670f7e3f6e2203fc4a17db23b54c63ecb5860eda911","sha256:19afcbfae319cc3878be26662674c2067e94b0b8803865c625a44220b816c6a7"],"state_sha256":"3d99b92999d7afcc006ef60df8baa55b50b5acc92d20423c53949ae195316a18"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qNwx4tutb1h66HZiUp1AFZYuTCkoBxjRORE9BoUXzoHiCzdCfGIQZC2vJMX32OHlzxk96MjQeDbG9zRsS3MuAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T19:49:05.788109Z","bundle_sha256":"567873f27b87b9ab871cd24a850445c8ab7c61075e3657447e7841bcd6de6918"}}