{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:5PK75VOZ2IBTRSMZ4RMAQ6FIEU","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":"c4eb6c5a291868d78b6ef597bf005f3b759f2e30af2edb2e96308d91b18be15d","cross_cats_sorted":["cond-mat.mes-hall","nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-14T02:35:16Z","title_canon_sha256":"0123b2f5573a089abf6be1ccf592309ecb8f48ba3a48e985fb4953710d9cc2aa"},"schema_version":"1.0","source":{"id":"0901.1917","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.1917","created_at":"2026-05-18T03:12:35Z"},{"alias_kind":"arxiv_version","alias_value":"0901.1917v3","created_at":"2026-05-18T03:12:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.1917","created_at":"2026-05-18T03:12:35Z"},{"alias_kind":"pith_short_12","alias_value":"5PK75VOZ2IBT","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"5PK75VOZ2IBTRSMZ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"5PK75VOZ","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:8f6bf110fea83dda927afea26ee0f8aa2a596c248ef366f5fe1a3f9ca7081b2f","target":"graph","created_at":"2026-05-18T03:12:35Z","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":"Nonequlibrium phase transition of an open Takayama-Lin Liu-Maki chain coupled with two reservoirs is investigated by combining a mean-field approximation and a formula characterizing nonequlibrium steady states, which is obtained from the algebraic field approach to nonequlibrium statistical mechanics. When the bias voltage is chosen to be a control parameter, the phase transition between ordered and normal phases is found to be first or second order. Then, the voltage-current characteristics is S-shaped in some parameter region. In contrast, when the current is chosen to be a control paramete","authors_text":"Hisashi Nishimura, Ichiro Terasaki, Shigeru Ajisaka, Shuichi Tasaki","cross_cats":["cond-mat.mes-hall","nlin.CD","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-14T02:35:16Z","title":"Nonequilibrium Peierls Transition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.1917","kind":"arxiv","version":3},"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":"sha256:4f6751ad9a59c3b5b959e5aaa8f318f8f396395ae2074b770e2a373b6bbc46c0","target":"record","created_at":"2026-05-18T03:12:35Z","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":"c4eb6c5a291868d78b6ef597bf005f3b759f2e30af2edb2e96308d91b18be15d","cross_cats_sorted":["cond-mat.mes-hall","nlin.CD","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-01-14T02:35:16Z","title_canon_sha256":"0123b2f5573a089abf6be1ccf592309ecb8f48ba3a48e985fb4953710d9cc2aa"},"schema_version":"1.0","source":{"id":"0901.1917","kind":"arxiv","version":3}},"canonical_sha256":"ebd5fed5d9d20338c999e4580878a825376ed4f69cb723579622f3f92f6bcec3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebd5fed5d9d20338c999e4580878a825376ed4f69cb723579622f3f92f6bcec3","first_computed_at":"2026-05-18T03:12:35.491019Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:35.491019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ApXZjtQCghLGgJ5J4hi5wBRYIOUcaXkMorNVH+4bUkZd4CXo/1b2PZpC9qkamq9SuTFzzPob7D1WVL+3vjaADA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:35.491809Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.1917","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f6751ad9a59c3b5b959e5aaa8f318f8f396395ae2074b770e2a373b6bbc46c0","sha256:8f6bf110fea83dda927afea26ee0f8aa2a596c248ef366f5fe1a3f9ca7081b2f"],"state_sha256":"c6567d7195c23984cf89c4c8fabfaf10a3931bf3ea9a0309cf9aa40718139600"}