{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:62AVIICPSPMR6RWOYQILAHKMZL","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":"8a50cbae2494397f114f584e3aa1ba97b13a5fd2e7fd477cf5bb0ee9f692664b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-09T20:58:50Z","title_canon_sha256":"2c2151f41226c5346c9837b6cd05d980e57c2970c503d4584234a68a32cd98a0"},"schema_version":"1.0","source":{"id":"1605.02779","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.02779","created_at":"2026-05-18T00:54:15Z"},{"alias_kind":"arxiv_version","alias_value":"1605.02779v2","created_at":"2026-05-18T00:54:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.02779","created_at":"2026-05-18T00:54:15Z"},{"alias_kind":"pith_short_12","alias_value":"62AVIICPSPMR","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"62AVIICPSPMR6RWO","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"62AVIICP","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:5e91fe3270ffb6fcb0db76ddce70f945c32e61c0507167f9e435d17b77fd9922","target":"graph","created_at":"2026-05-18T00:54:15Z","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 present exact numerical results for the effects of thermal fluctuations on the experimentally relevant thermodynamic and spectral properties of Peierls chains. To this end, a combination of classical Monte Carlo sampling and exact diagonalization is used to study adiabatic half-filled Holstein and Su-Schrieffer-Heeger models. The classical nature of the lattice displacements in combination with parallel tempering permit simulations on large system sizes and a direct calculation of spectral functions in the frequency domain. Most notably, the long-range order and the associated Peierls gap g","authors_text":"Fakher F. Assaad, Manuel Weber, Martin Hohenadler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-09T20:58:50Z","title":"Thermodynamic and spectral properties of adiabatic Peierls chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.02779","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:d5bfb3bbc0d2d61e16ba1163f49c6b272e8fb53e4b848914cf1a850cce6773aa","target":"record","created_at":"2026-05-18T00:54:15Z","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":"8a50cbae2494397f114f584e3aa1ba97b13a5fd2e7fd477cf5bb0ee9f692664b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-05-09T20:58:50Z","title_canon_sha256":"2c2151f41226c5346c9837b6cd05d980e57c2970c503d4584234a68a32cd98a0"},"schema_version":"1.0","source":{"id":"1605.02779","kind":"arxiv","version":2}},"canonical_sha256":"f68154204f93d91f46cec410b01d4ccaf035dbc6b5532e4ac6c7deb52535fcf1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f68154204f93d91f46cec410b01d4ccaf035dbc6b5532e4ac6c7deb52535fcf1","first_computed_at":"2026-05-18T00:54:15.627954Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:15.627954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AK1HxsyAhQm5KHq6Jo8TjJwduZVhVCpuNg/qSHQ5VUv/jQuoD67SVsKVH3QTYg2l0s/ObeTLANUEjNpwh2zCDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:15.628477Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.02779","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5bfb3bbc0d2d61e16ba1163f49c6b272e8fb53e4b848914cf1a850cce6773aa","sha256:5e91fe3270ffb6fcb0db76ddce70f945c32e61c0507167f9e435d17b77fd9922"],"state_sha256":"aa755237cbf1a564c598f99ec7dd88c1ff832eec4e9d180263d4ff378e936579"}