{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:A55QOXV4CFNLCVAYOTIGLX2ZJE","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":"4287fd9f6bb46b11a0b6cb7b7e1fbb014c5df07e85c058455ca82c8a57e56b25","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2001-05-23T10:19:20Z","title_canon_sha256":"aede703ed97c47e782e27ed0d64af7d8015194306a4c942b56be2dcfe8ebe2a7"},"schema_version":"1.0","source":{"id":"cond-mat/0105453","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0105453","created_at":"2026-05-18T01:40:07Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0105453v1","created_at":"2026-05-18T01:40:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0105453","created_at":"2026-05-18T01:40:07Z"},{"alias_kind":"pith_short_12","alias_value":"A55QOXV4CFNL","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"A55QOXV4CFNLCVAY","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"A55QOXV4","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:0e29e896c195a3d5f3f64529bdad2cfa990307d14e02c3fa53b09875034986c0","target":"graph","created_at":"2026-05-18T01:40:07Z","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 construct a coherent state path integral formalism for the one-dimensional Bloch particle within the single band model. The transition amplitude between two coherent states is a sum of transition amplitudes with different winding numbers on the two-dimensional phase space which has the same topology as that of the cylinder. Appearance of the winding number is due to the periodicity of the quasi-momentum of the Bloch particle. Our formalism is successfully applied to a semiclassical motion of the Bloch particle under a uniform electric field. The wave packet exhibits not only the Bloch oscil","authors_text":"Junya Shibata, Komajiro Niizeki","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2001-05-23T10:19:20Z","title":"Coherent State Path Integral for Bloch Particle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0105453","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":"sha256:37a980f333c211cd685afe6bfd583b4e0670a16c675bf46e011148b347f2379b","target":"record","created_at":"2026-05-18T01:40:07Z","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":"4287fd9f6bb46b11a0b6cb7b7e1fbb014c5df07e85c058455ca82c8a57e56b25","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mes-hall","submitted_at":"2001-05-23T10:19:20Z","title_canon_sha256":"aede703ed97c47e782e27ed0d64af7d8015194306a4c942b56be2dcfe8ebe2a7"},"schema_version":"1.0","source":{"id":"cond-mat/0105453","kind":"arxiv","version":1}},"canonical_sha256":"077b075ebc115ab1541874d065df594920e1a99910ee9bd572985e0289dedc59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"077b075ebc115ab1541874d065df594920e1a99910ee9bd572985e0289dedc59","first_computed_at":"2026-05-18T01:40:07.255116Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:07.255116Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gYtO6ihlrb6sXn14ElI3WLfvUl3QyeFPnNfeOGcoLSK51caYZzMLvYwsa6iqKBstXoPo/6KyKqDEbiUaMSHPAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:07.255662Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0105453","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37a980f333c211cd685afe6bfd583b4e0670a16c675bf46e011148b347f2379b","sha256:0e29e896c195a3d5f3f64529bdad2cfa990307d14e02c3fa53b09875034986c0"],"state_sha256":"5fc813870d7e3e5f8cdf5d38bc3f66eb38691f14737c3109cfb54b36a81d05a6"}