{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:23FTW5JWGGJLECAYHJXXWUPUR4","short_pith_number":"pith:23FTW5JW","canonical_record":{"source":{"id":"1510.00262","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-01T14:47:50Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"7b765f1204dcbbd1f6b6a5d60b9211e141efc2e74279fc962c0495905eaeb861","abstract_canon_sha256":"847ff829456cd2cd3240268e173f6dd82ac8282c46e706ce00656f6cc9ddafed"},"schema_version":"1.0"},"canonical_sha256":"d6cb3b75363192b208183a6f7b51f48f1a23c5c7983bcd97182caca6e80fa2c0","source":{"kind":"arxiv","id":"1510.00262","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.00262","created_at":"2026-07-05T05:05:41Z"},{"alias_kind":"arxiv_version","alias_value":"1510.00262v2","created_at":"2026-07-05T05:05:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00262","created_at":"2026-07-05T05:05:41Z"},{"alias_kind":"pith_short_12","alias_value":"23FTW5JWGGJL","created_at":"2026-07-05T05:05:41Z"},{"alias_kind":"pith_short_16","alias_value":"23FTW5JWGGJLECAY","created_at":"2026-07-05T05:05:41Z"},{"alias_kind":"pith_short_8","alias_value":"23FTW5JW","created_at":"2026-07-05T05:05:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:23FTW5JWGGJLECAYHJXXWUPUR4","target":"record","payload":{"canonical_record":{"source":{"id":"1510.00262","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-01T14:47:50Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"7b765f1204dcbbd1f6b6a5d60b9211e141efc2e74279fc962c0495905eaeb861","abstract_canon_sha256":"847ff829456cd2cd3240268e173f6dd82ac8282c46e706ce00656f6cc9ddafed"},"schema_version":"1.0"},"canonical_sha256":"d6cb3b75363192b208183a6f7b51f48f1a23c5c7983bcd97182caca6e80fa2c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:05:41.748244Z","signature_b64":"7N+rWUVDfpxB55Wch5v9V+jRH8PaSkPiuZAu5GE/elj+g+4HyBrTT7HvMWpCyyjd2E69OI9WtN0JW237U34IBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6cb3b75363192b208183a6f7b51f48f1a23c5c7983bcd97182caca6e80fa2c0","last_reissued_at":"2026-07-05T05:05:41.747794Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:05:41.747794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.00262","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":"2026-07-05T05:05:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JzZcTkRMP191r4zrrYR8UkVHLczA+FO+MY0UrTclJVg28yk/Q73ObWCz5AkU/Cvh4uT0WHv4F88vJTsGO++ICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:15:23.358473Z"},"content_sha256":"97191c4f32fd67e9874b208cc670d1fc24dfda244123ad9876057a01ad5635ec","schema_version":"1.0","event_id":"sha256:97191c4f32fd67e9874b208cc670d1fc24dfda244123ad9876057a01ad5635ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:23FTW5JWGGJLECAYHJXXWUPUR4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement Dynamics of Disordered Quantum XY Chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Bruno Nachtergaele, G\\\"unter Stolz, Houssam Abdul-Rahman, Robert Sims","submitted_at":"2015-10-01T14:47:50Z","abstract_excerpt":"We consider the dynamics of the quantum XY chain with disorder under the general assumption that the expectation of the eigenfunction correlator of the associated one-particle Hamiltonian satisfies a decay estimate typical of Anderson localization. We show that, starting from a broad class of product initial states, entanglement remains bounded for all times. For the XX chain, we also derive bounds on the particle transport which, in particular, show that the density profile of initial states that consist of fully occupied and empty intervals, only have significant dynamics near the edges of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00262","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/1510.00262/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":"2026-07-05T05:05:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ix/HgZc3HBOO+DqplE9Lnn2F3Pt44UaG9w4gDOP40tgyqLaHT9np+Tq03idM8LU1lvwpvpG6tN1A3mwuNDyDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T02:15:23.358974Z"},"content_sha256":"31300624e9993f32c6cdb6879cac72f5d6b8d87457b792a7ee71b238c85a0ee2","schema_version":"1.0","event_id":"sha256:31300624e9993f32c6cdb6879cac72f5d6b8d87457b792a7ee71b238c85a0ee2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/23FTW5JWGGJLECAYHJXXWUPUR4/bundle.json","state_url":"https://pith.science/pith/23FTW5JWGGJLECAYHJXXWUPUR4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/23FTW5JWGGJLECAYHJXXWUPUR4/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":"2026-08-11T02:15:23Z","links":{"resolver":"https://pith.science/pith/23FTW5JWGGJLECAYHJXXWUPUR4","bundle":"https://pith.science/pith/23FTW5JWGGJLECAYHJXXWUPUR4/bundle.json","state":"https://pith.science/pith/23FTW5JWGGJLECAYHJXXWUPUR4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/23FTW5JWGGJLECAYHJXXWUPUR4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:23FTW5JWGGJLECAYHJXXWUPUR4","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":"847ff829456cd2cd3240268e173f6dd82ac8282c46e706ce00656f6cc9ddafed","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-01T14:47:50Z","title_canon_sha256":"7b765f1204dcbbd1f6b6a5d60b9211e141efc2e74279fc962c0495905eaeb861"},"schema_version":"1.0","source":{"id":"1510.00262","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.00262","created_at":"2026-07-05T05:05:41Z"},{"alias_kind":"arxiv_version","alias_value":"1510.00262v2","created_at":"2026-07-05T05:05:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00262","created_at":"2026-07-05T05:05:41Z"},{"alias_kind":"pith_short_12","alias_value":"23FTW5JWGGJL","created_at":"2026-07-05T05:05:41Z"},{"alias_kind":"pith_short_16","alias_value":"23FTW5JWGGJLECAY","created_at":"2026-07-05T05:05:41Z"},{"alias_kind":"pith_short_8","alias_value":"23FTW5JW","created_at":"2026-07-05T05:05:41Z"}],"graph_snapshots":[{"event_id":"sha256:31300624e9993f32c6cdb6879cac72f5d6b8d87457b792a7ee71b238c85a0ee2","target":"graph","created_at":"2026-07-05T05:05:41Z","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/1510.00262/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the dynamics of the quantum XY chain with disorder under the general assumption that the expectation of the eigenfunction correlator of the associated one-particle Hamiltonian satisfies a decay estimate typical of Anderson localization. We show that, starting from a broad class of product initial states, entanglement remains bounded for all times. For the XX chain, we also derive bounds on the particle transport which, in particular, show that the density profile of initial states that consist of fully occupied and empty intervals, only have significant dynamics near the edges of t","authors_text":"Bruno Nachtergaele, G\\\"unter Stolz, Houssam Abdul-Rahman, Robert Sims","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-01T14:47:50Z","title":"Entanglement Dynamics of Disordered Quantum XY Chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00262","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":"sha256:97191c4f32fd67e9874b208cc670d1fc24dfda244123ad9876057a01ad5635ec","target":"record","created_at":"2026-07-05T05:05:41Z","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":"847ff829456cd2cd3240268e173f6dd82ac8282c46e706ce00656f6cc9ddafed","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-10-01T14:47:50Z","title_canon_sha256":"7b765f1204dcbbd1f6b6a5d60b9211e141efc2e74279fc962c0495905eaeb861"},"schema_version":"1.0","source":{"id":"1510.00262","kind":"arxiv","version":2}},"canonical_sha256":"d6cb3b75363192b208183a6f7b51f48f1a23c5c7983bcd97182caca6e80fa2c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6cb3b75363192b208183a6f7b51f48f1a23c5c7983bcd97182caca6e80fa2c0","first_computed_at":"2026-07-05T05:05:41.747794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:05:41.747794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7N+rWUVDfpxB55Wch5v9V+jRH8PaSkPiuZAu5GE/elj+g+4HyBrTT7HvMWpCyyjd2E69OI9WtN0JW237U34IBw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:05:41.748244Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.00262","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97191c4f32fd67e9874b208cc670d1fc24dfda244123ad9876057a01ad5635ec","sha256:31300624e9993f32c6cdb6879cac72f5d6b8d87457b792a7ee71b238c85a0ee2"],"state_sha256":"94ce3ee5b189dcc8f36a7f333ce4da7dc182fdbe8489d6f39f18777fa9a528df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pPDy56587Zu8u702L4bnD9E4DtSYWN7XU1Y5d07SSKwhgm6/5RqifgOQjzv20KT4TgAMvrcluUdV657Sz0lpAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T02:15:23.364925Z","bundle_sha256":"ee9eca1fb1985d40a2402e4a8c1e7cd45319e5dd115e8d9ebe1b33ab86357673"}}