{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:DKVKD6NMYSCPAUASD3PDY6OGZK","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":"ab3a461fccbe783a3fabbf492ff5c0e7e4561a3093d1efde2b67b4eb7bbefbfc","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-12-12T13:48:43Z","title_canon_sha256":"13577c5d1817f6c1c430b54c50c25b05bc23a1ab0c6c7543e622467dc27c1310"},"schema_version":"1.0","source":{"id":"1012.2542","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2542","created_at":"2026-05-18T02:04:29Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2542v2","created_at":"2026-05-18T02:04:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2542","created_at":"2026-05-18T02:04:29Z"},{"alias_kind":"pith_short_12","alias_value":"DKVKD6NMYSCP","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"DKVKD6NMYSCPAUAS","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"DKVKD6NM","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:cffe308921c5630cf18312d2743b0ab8b0c57480dab88ff267f63ff58ea8ba02","target":"graph","created_at":"2026-05-18T02:04:29Z","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 derive an effective Hamiltonian for the one-dimensional Hubbard-Holstein model, valid in a regime of both strong electron-electron (e-e) and electron-phonon (e-ph) interactions and in the non-adiabatic limit ($t/\\omega_0 \\leq 1$), by using a non-perturbative approach. We obtain the phase diagram at quarter-filling by employing a modified Lanczos method and studying various density-density correlations. The spin-spin AF (antiferromagnetic) interactions and nearest-neighbor repulsion, resulting from the e-e and the e-ph interactions respectively, are the dominant terms (compared to hopping) a","authors_text":"Peter B. Littlewood, Sahinur Reja, Sudhakar Yarlagadda","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-12-12T13:48:43Z","title":"Phase diagram of one-dimensional Hubbard-Holstein model at quarter-filling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2542","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":"sha256:85b647c8751fd8a0896f96d381cf7b74350ac8f3fa4dd6f52155fd7cf04b6db6","target":"record","created_at":"2026-05-18T02:04:29Z","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":"ab3a461fccbe783a3fabbf492ff5c0e7e4561a3093d1efde2b67b4eb7bbefbfc","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-12-12T13:48:43Z","title_canon_sha256":"13577c5d1817f6c1c430b54c50c25b05bc23a1ab0c6c7543e622467dc27c1310"},"schema_version":"1.0","source":{"id":"1012.2542","kind":"arxiv","version":2}},"canonical_sha256":"1aaaa1f9acc484f050121ede3c79c6caae5b25011b3f4280ad74d53ab602788c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1aaaa1f9acc484f050121ede3c79c6caae5b25011b3f4280ad74d53ab602788c","first_computed_at":"2026-05-18T02:04:29.985353Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:04:29.985353Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JNWCgWxpX+NpRzxyFLUUyTaEjdAcJzxyQiRqXtTHcCca9DWYrcIXsGiMcqAq4SdpbhStgLCvFN+O906egmAFCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:04:29.986060Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.2542","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85b647c8751fd8a0896f96d381cf7b74350ac8f3fa4dd6f52155fd7cf04b6db6","sha256:cffe308921c5630cf18312d2743b0ab8b0c57480dab88ff267f63ff58ea8ba02"],"state_sha256":"368d852a5b5d46ef64753c439e70e1f481082f5fc1ef758af75ac638fbac9920"}