{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:EGSXSEASUTPJIPEDWR5TYVIGVW","short_pith_number":"pith:EGSXSEAS","schema_version":"1.0","canonical_sha256":"21a5791012a4de943c83b47b3c5506adaddc827a4c7457e6a7a3115d9823a258","source":{"kind":"arxiv","id":"2406.11952","version":1},"attestation_state":"computed","paper":{"title":"Solitons with irrational charge in a one-dimensional quantum ferroelectric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Sijia Zhao, Steven A. Kivelson","submitted_at":"2024-06-17T18:00:00Z","abstract_excerpt":"We use analytic (mean-field) and density-matrix renormalization group (DMRG) methods to study a simplified one-dimensional version of the SSH-Holstein model of electron-phonon interactions with one electron per site (half filling) where, as a function of the ratio of the two couplings, three distinct insulating phases arise - a site-centered charge-density-wave (CDW), a bond-centered bond-density-wave (BDW), and an intermediate ferroelectric (inversion-symmetry breaking) phase with coexisting CDW and BDW order. In the intermediate phase our DMRG results establish the existence of point-like so"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2406.11952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-06-17T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"b8aabe71101e85ebb79c0dba432e71e84d78e7fb52fd0e22cf1a809e42f9a309","abstract_canon_sha256":"ce8235063cbd7e02f8dfb2898e0430d211af1cc5844d8401c14b919002dbabbe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:33:04.240020Z","signature_b64":"oNgU88pfJbEkZ3avljK/HmceBnGMVESC41EZouHVPLyyYIVP3X3E68yRLFc5qrZ2if4jaypuHLZQ1fXJnnFkBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21a5791012a4de943c83b47b3c5506adaddc827a4c7457e6a7a3115d9823a258","last_reissued_at":"2026-07-05T08:33:04.239461Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:33:04.239461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solitons with irrational charge in a one-dimensional quantum ferroelectric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Sijia Zhao, Steven A. Kivelson","submitted_at":"2024-06-17T18:00:00Z","abstract_excerpt":"We use analytic (mean-field) and density-matrix renormalization group (DMRG) methods to study a simplified one-dimensional version of the SSH-Holstein model of electron-phonon interactions with one electron per site (half filling) where, as a function of the ratio of the two couplings, three distinct insulating phases arise - a site-centered charge-density-wave (CDW), a bond-centered bond-density-wave (BDW), and an intermediate ferroelectric (inversion-symmetry breaking) phase with coexisting CDW and BDW order. In the intermediate phase our DMRG results establish the existence of point-like so"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.11952","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.11952/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2406.11952","created_at":"2026-07-05T08:33:04.239518+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.11952v1","created_at":"2026-07-05T08:33:04.239518+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.11952","created_at":"2026-07-05T08:33:04.239518+00:00"},{"alias_kind":"pith_short_12","alias_value":"EGSXSEASUTPJ","created_at":"2026-07-05T08:33:04.239518+00:00"},{"alias_kind":"pith_short_16","alias_value":"EGSXSEASUTPJIPED","created_at":"2026-07-05T08:33:04.239518+00:00"},{"alias_kind":"pith_short_8","alias_value":"EGSXSEAS","created_at":"2026-07-05T08:33:04.239518+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.02705","citing_title":"Competing Dirac masses in one dimension: Symmetry-enhanced pseudo-first-order transition and deconfined criticality","ref_index":37,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EGSXSEASUTPJIPEDWR5TYVIGVW","json":"https://pith.science/pith/EGSXSEASUTPJIPEDWR5TYVIGVW.json","graph_json":"https://pith.science/api/pith-number/EGSXSEASUTPJIPEDWR5TYVIGVW/graph.json","events_json":"https://pith.science/api/pith-number/EGSXSEASUTPJIPEDWR5TYVIGVW/events.json","paper":"https://pith.science/paper/EGSXSEAS"},"agent_actions":{"view_html":"https://pith.science/pith/EGSXSEASUTPJIPEDWR5TYVIGVW","download_json":"https://pith.science/pith/EGSXSEASUTPJIPEDWR5TYVIGVW.json","view_paper":"https://pith.science/paper/EGSXSEAS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.11952&json=true","fetch_graph":"https://pith.science/api/pith-number/EGSXSEASUTPJIPEDWR5TYVIGVW/graph.json","fetch_events":"https://pith.science/api/pith-number/EGSXSEASUTPJIPEDWR5TYVIGVW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EGSXSEASUTPJIPEDWR5TYVIGVW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EGSXSEASUTPJIPEDWR5TYVIGVW/action/storage_attestation","attest_author":"https://pith.science/pith/EGSXSEASUTPJIPEDWR5TYVIGVW/action/author_attestation","sign_citation":"https://pith.science/pith/EGSXSEASUTPJIPEDWR5TYVIGVW/action/citation_signature","submit_replication":"https://pith.science/pith/EGSXSEASUTPJIPEDWR5TYVIGVW/action/replication_record"}},"created_at":"2026-07-05T08:33:04.239518+00:00","updated_at":"2026-07-05T08:33:04.239518+00:00"}