{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:YFZ2SMXSUMOAXIZM2YNDBFMXVK","short_pith_number":"pith:YFZ2SMXS","schema_version":"1.0","canonical_sha256":"c173a932f2a31c0ba32cd61a309597aab5d6d8faf605ac6ac009990114d84b57","source":{"kind":"arxiv","id":"1009.4113","version":2},"attestation_state":"computed","paper":{"title":"Quantum phase diagram of the half filled Hubbard model with bond-charge interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A. A. Aligia, A. O. Dobry","submitted_at":"2010-09-21T14:52:41Z","abstract_excerpt":"Using quantum field theory and bosonization, we determine the quantum phase diagram of the one-dimensional Hubbard model with bond-charge interaction $X$ in addition to the usual Coulomb repulsion $U$ at half-filling, for small values of the interactions. We show that it is essential to take into account formally irrelevant terms of order $X$. They generate relevant terms proportional to $X^2$ in the flow of the renormalization group (RG). These terms are calculated using operator product expansions. The model shows three phases separated by a charge transition at $U=U_c$ and a spin transition"},"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":"1009.4113","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-21T14:52:41Z","cross_cats_sorted":[],"title_canon_sha256":"067a28bf97546accbcfaaafed3600f02e6d7e40fecc9fcfea0dc21ba93615158","abstract_canon_sha256":"93b75f3df6f9d53b786361795601a90bc24be0ebc3615b3d6cf2639e5a19b247"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:36.763775Z","signature_b64":"vT//SJ+mk9959OYyWiF8YD3+x8u6fiCdQd5AqBJqSJJlipQGTW39sHQ+1gLeqzDkDo6tTd7FU18gK1LxL29jAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c173a932f2a31c0ba32cd61a309597aab5d6d8faf605ac6ac009990114d84b57","last_reissued_at":"2026-05-18T04:34:36.763330Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:36.763330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum phase diagram of the half filled Hubbard model with bond-charge interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A. A. Aligia, A. O. Dobry","submitted_at":"2010-09-21T14:52:41Z","abstract_excerpt":"Using quantum field theory and bosonization, we determine the quantum phase diagram of the one-dimensional Hubbard model with bond-charge interaction $X$ in addition to the usual Coulomb repulsion $U$ at half-filling, for small values of the interactions. We show that it is essential to take into account formally irrelevant terms of order $X$. They generate relevant terms proportional to $X^2$ in the flow of the renormalization group (RG). These terms are calculated using operator product expansions. The model shows three phases separated by a charge transition at $U=U_c$ and a spin transition"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.4113","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1009.4113","created_at":"2026-05-18T04:34:36.763400+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.4113v2","created_at":"2026-05-18T04:34:36.763400+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.4113","created_at":"2026-05-18T04:34:36.763400+00:00"},{"alias_kind":"pith_short_12","alias_value":"YFZ2SMXSUMOA","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"YFZ2SMXSUMOAXIZM","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"YFZ2SMXS","created_at":"2026-05-18T12:26:17.028572+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YFZ2SMXSUMOAXIZM2YNDBFMXVK","json":"https://pith.science/pith/YFZ2SMXSUMOAXIZM2YNDBFMXVK.json","graph_json":"https://pith.science/api/pith-number/YFZ2SMXSUMOAXIZM2YNDBFMXVK/graph.json","events_json":"https://pith.science/api/pith-number/YFZ2SMXSUMOAXIZM2YNDBFMXVK/events.json","paper":"https://pith.science/paper/YFZ2SMXS"},"agent_actions":{"view_html":"https://pith.science/pith/YFZ2SMXSUMOAXIZM2YNDBFMXVK","download_json":"https://pith.science/pith/YFZ2SMXSUMOAXIZM2YNDBFMXVK.json","view_paper":"https://pith.science/paper/YFZ2SMXS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.4113&json=true","fetch_graph":"https://pith.science/api/pith-number/YFZ2SMXSUMOAXIZM2YNDBFMXVK/graph.json","fetch_events":"https://pith.science/api/pith-number/YFZ2SMXSUMOAXIZM2YNDBFMXVK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YFZ2SMXSUMOAXIZM2YNDBFMXVK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YFZ2SMXSUMOAXIZM2YNDBFMXVK/action/storage_attestation","attest_author":"https://pith.science/pith/YFZ2SMXSUMOAXIZM2YNDBFMXVK/action/author_attestation","sign_citation":"https://pith.science/pith/YFZ2SMXSUMOAXIZM2YNDBFMXVK/action/citation_signature","submit_replication":"https://pith.science/pith/YFZ2SMXSUMOAXIZM2YNDBFMXVK/action/replication_record"}},"created_at":"2026-05-18T04:34:36.763400+00:00","updated_at":"2026-05-18T04:34:36.763400+00:00"}