{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RTWLB2GT2TSXZOYL2CFJISXU4T","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":"c165e0b29d5910d5616dadd434fbb9df4df1c8fa08c77c804171da8cc468c0e7","cross_cats_sorted":["math.DS","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-18T17:34:15Z","title_canon_sha256":"d306188a0e71e54e41ac99afc8fd87ca38944c9367592409e41eebadc6d43f5a"},"schema_version":"1.0","source":{"id":"1407.5067","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5067","created_at":"2026-05-18T02:03:37Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5067v2","created_at":"2026-05-18T02:03:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5067","created_at":"2026-05-18T02:03:37Z"},{"alias_kind":"pith_short_12","alias_value":"RTWLB2GT2TSX","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RTWLB2GT2TSXZOYL","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RTWLB2GT","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:813999c2fd18f79abcd883062aa1ad253dfb76b34a67421249d87596f33d9bef","target":"graph","created_at":"2026-05-18T02:03:37Z","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":"We investigate quantum dynamics with the underlying Hamiltonian being a Jacobi or a block Jacobi matrix with the diagonal and the off-diagonal terms modulated by a periodic or a limit-periodic sequence. In particular, we investigate the transport exponents. In the periodic case we demonstrate ballistic transport, while in the limit-periodic case we discuss various phenomena such as quasi-ballistic transport and weak dynamical localization. We also present applications to some quantum many body problems. In particular, we establish for the anisotropic XY chain on $\\mathbb{Z}$ with periodic para","authors_text":"David Damanik (Rice University), Milivoje Lukic (Rice University), William Yessen (Rice University)","cross_cats":["math.DS","math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-18T17:34:15Z","title":"Quantum Dynamics of Periodic and Limit-Periodic Jacobi and Block Jacobi Matrices with Applications to Some Quantum Many Body Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5067","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:f7fe059e3ffd018266543a4158841fdec5b8d34a45ebf2ac72279e07283bbba0","target":"record","created_at":"2026-05-18T02:03:37Z","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":"c165e0b29d5910d5616dadd434fbb9df4df1c8fa08c77c804171da8cc468c0e7","cross_cats_sorted":["math.DS","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-07-18T17:34:15Z","title_canon_sha256":"d306188a0e71e54e41ac99afc8fd87ca38944c9367592409e41eebadc6d43f5a"},"schema_version":"1.0","source":{"id":"1407.5067","kind":"arxiv","version":2}},"canonical_sha256":"8cecb0e8d3d4e57cbb0bd08a944af4e4edb956e13bee3360f53908999f0811a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cecb0e8d3d4e57cbb0bd08a944af4e4edb956e13bee3360f53908999f0811a9","first_computed_at":"2026-05-18T02:03:37.508155Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:37.508155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UrKgrwaLqrEXmZ+GxJD//JCNkuFgxcHsF8fOUjt6ztaK6c72fo2SqwFKwh7srEOuEwCSQyX0WMlLXSOMdsaaCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:37.508820Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.5067","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7fe059e3ffd018266543a4158841fdec5b8d34a45ebf2ac72279e07283bbba0","sha256:813999c2fd18f79abcd883062aa1ad253dfb76b34a67421249d87596f33d9bef"],"state_sha256":"751c636e0fd420122e8e008b7c3af07cc9dfafac37ceafc8487774c2f1626718"}