{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5MFVOPVCRQLCEO7MXYRJHQM456","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":"447351a701af003cb706df60bfdd78c839c8c074bc4763550930948f572eabec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-04-28T12:28:30Z","title_canon_sha256":"6f1ca99d8544c44a559acacb109e489753926b93bb808f0e22612320657ce4f9"},"schema_version":"1.0","source":{"id":"1504.07446","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.07446","created_at":"2026-05-18T01:37:34Z"},{"alias_kind":"arxiv_version","alias_value":"1504.07446v2","created_at":"2026-05-18T01:37:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07446","created_at":"2026-05-18T01:37:34Z"},{"alias_kind":"pith_short_12","alias_value":"5MFVOPVCRQLC","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"5MFVOPVCRQLCEO7M","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"5MFVOPVC","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:6a1452f68e559200d5bc64d26365d0a1b77230a8c09db9321a52b1aa273e000a","target":"graph","created_at":"2026-05-18T01:37:34Z","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 use the continuous-time interaction expansion (CT-INT) quantum Monte Carlo method to calculate the phonon spectral function of the one-dimensional Holstein-Hubbard model at half-filling. Our results are consistent with a soft-mode Peierls transition in the adiabatic regime, and the existence of a central peak related to long-range order in the Peierls phase. We explain a previously observed feature at small momenta in terms of a hybridization of charge and phonon excitations. Tuning the system from a Peierls to a metallic phase with a nonzero Hubbard interaction suppresses the central peak,","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":"2015-04-28T12:28:30Z","title":"Phonon spectral function of the one-dimensional Holstein-Hubbard model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07446","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:e00b381567e880a5871a4c4252830d8417f80f2316c6f9b64d7e31fa662abe4e","target":"record","created_at":"2026-05-18T01:37:34Z","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":"447351a701af003cb706df60bfdd78c839c8c074bc4763550930948f572eabec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-04-28T12:28:30Z","title_canon_sha256":"6f1ca99d8544c44a559acacb109e489753926b93bb808f0e22612320657ce4f9"},"schema_version":"1.0","source":{"id":"1504.07446","kind":"arxiv","version":2}},"canonical_sha256":"eb0b573ea28c16223becbe2293c19cef82f5fe8a366670583c3e28969eed4fc4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb0b573ea28c16223becbe2293c19cef82f5fe8a366670583c3e28969eed4fc4","first_computed_at":"2026-05-18T01:37:34.695935Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:34.695935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5jk/5Uh505lJkb5gA33EZJi73T6uJvGsMfkUi2iaJLFlu1b3PKNqxd72HThpm91KRx4q9f5Mp6CoYApDOvc6DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:34.696396Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.07446","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e00b381567e880a5871a4c4252830d8417f80f2316c6f9b64d7e31fa662abe4e","sha256:6a1452f68e559200d5bc64d26365d0a1b77230a8c09db9321a52b1aa273e000a"],"state_sha256":"0909eed542e007d5cef7a8cdf5481f60cf96bf8626ccc4e3faba23ffb0d59cff"}