{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:HKJO4YALNMXMDT5HH2RNOF354M","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":"1cd973d591e75a677578b7ceb4726f675d785ca489d6da30dcd0cacf5cd78345","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-10-21T13:28:40Z","title_canon_sha256":"252fcdecd35fde22187aabd3be0d6473914a1368e4dfd6b4809c8e6e4b4928d6"},"schema_version":"1.0","source":{"id":"0810.3824","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.3824","created_at":"2026-05-18T02:15:23Z"},{"alias_kind":"arxiv_version","alias_value":"0810.3824v2","created_at":"2026-05-18T02:15:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.3824","created_at":"2026-05-18T02:15:23Z"},{"alias_kind":"pith_short_12","alias_value":"HKJO4YALNMXM","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"HKJO4YALNMXMDT5H","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"HKJO4YAL","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:eafed486a47c5389a69698e94a9d1e435f3f185521148c534664cab0adbb6e82","target":"graph","created_at":"2026-05-18T02:15:23Z","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"},"paper":{"abstract_excerpt":"The dynamics of the one-dimensional random transverse Ising model with both nearest-neighbor (NN) and next-nearest-neighbor (NNN) interactions is studied in the high-temperature limit by the method of recurrence relations. Both the time-dependent transverse correlation function and the corresponding spectral density are calculated for two typical disordered states. We find that for the bimodal disorder the dynamics of the system undergoes a crossover from a collective-mode behavior to a central-peak one and for the Gaussian disorder the dynamics is complex. For both cases, it is found that the","authors_text":"Xiang-Mu Kong, Xiao-Juan Yuan, Zhen-Bo Xu, Zhong-Qiang Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-10-21T13:28:40Z","title":"Dynamics of the one-dimensional random transverse Ising model with next-nearest-neighbor interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.3824","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":"sha256:113285b99e4405e01a091a8dcd4e7be690455f1be2a4d7e0b3b084187e2236e1","target":"record","created_at":"2026-05-18T02:15:23Z","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":"1cd973d591e75a677578b7ceb4726f675d785ca489d6da30dcd0cacf5cd78345","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2008-10-21T13:28:40Z","title_canon_sha256":"252fcdecd35fde22187aabd3be0d6473914a1368e4dfd6b4809c8e6e4b4928d6"},"schema_version":"1.0","source":{"id":"0810.3824","kind":"arxiv","version":2}},"canonical_sha256":"3a92ee600b6b2ec1cfa73ea2d7177de33df7fa1397c722bf42273f8e40c534a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a92ee600b6b2ec1cfa73ea2d7177de33df7fa1397c722bf42273f8e40c534a2","first_computed_at":"2026-05-18T02:15:23.810072Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:23.810072Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8zkI2x8a+QjackX7L8AgZTOVzFnsy5wELbUMe7QDt7GOdEJ2LZYEabt9aJYbZ6oQEASpsXlXWAHzTl3sAEP1DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:23.810850Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.3824","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:113285b99e4405e01a091a8dcd4e7be690455f1be2a4d7e0b3b084187e2236e1","sha256:eafed486a47c5389a69698e94a9d1e435f3f185521148c534664cab0adbb6e82"],"state_sha256":"0e89a48f44f9a96ff4ea0aa20a87a1e8183012cb46fb348c17c2bd3e0b1f7a9f"}