{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:24VYI2W6RK5FIR544G64CSY56W","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":"b866de5fd09e9c4f922376114297966380b6858a9d5d5ab3db938bbe0516660d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-10-11T08:51:11Z","title_canon_sha256":"3286822e6fbc4f8ad209164762cc2d2cff61de6222e623723ea5c0b5563728ce"},"schema_version":"1.0","source":{"id":"1010.2040","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2040","created_at":"2026-05-18T02:05:06Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2040v1","created_at":"2026-05-18T02:05:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2040","created_at":"2026-05-18T02:05:06Z"},{"alias_kind":"pith_short_12","alias_value":"24VYI2W6RK5F","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"24VYI2W6RK5FIR54","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"24VYI2W6","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:b388dfb4bc8a6ba836ddf8a5755070f57e8bdc1c35022902eb045dbc18284f7b","target":"graph","created_at":"2026-05-18T02:05:06Z","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 study the effects of interband hybridization within the framework of an extended Falicov-Kimball model with itinerant $c$ and $f$ electrons. An explicit interband hybridization breaks the U(1) symmetry associated with the conservation of the difference between the total number of particles in each band. As a result, the degeneracy between multipolar electric and chiral orderings is lifted. We analyze the weak- and strong-coupling limits of the $c$-$f$ electron Coulomb interaction at zero temperature, and derive the corresponding mean-field quantum phase diagrams at half-filling for a model ","authors_text":"B. Zenker, C. D. Batista, H. Fehske","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-10-11T08:51:11Z","title":"Competing chiral and multipolar electric phases in the extended Falicov-Kimball model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2040","kind":"arxiv","version":1},"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":"sha256:2f6b08bec53b6ae55f66ea75c8842d334018d8778bf2de95585d8701c98e85bb","target":"record","created_at":"2026-05-18T02:05:06Z","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":"b866de5fd09e9c4f922376114297966380b6858a9d5d5ab3db938bbe0516660d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-10-11T08:51:11Z","title_canon_sha256":"3286822e6fbc4f8ad209164762cc2d2cff61de6222e623723ea5c0b5563728ce"},"schema_version":"1.0","source":{"id":"1010.2040","kind":"arxiv","version":1}},"canonical_sha256":"d72b846ade8aba5447bce1bdc14b1df59f47876b1126e6818a1de4e1f789389f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d72b846ade8aba5447bce1bdc14b1df59f47876b1126e6818a1de4e1f789389f","first_computed_at":"2026-05-18T02:05:06.817689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:06.817689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qh2hQpmhT/zxSjBXsoVV6Im0kklZhXnU4wB75Fo7PORSsKtzmTvkvokkhIhQ36wNFEjfD2uT0iVR1sBT70uICQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:06.818449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2040","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f6b08bec53b6ae55f66ea75c8842d334018d8778bf2de95585d8701c98e85bb","sha256:b388dfb4bc8a6ba836ddf8a5755070f57e8bdc1c35022902eb045dbc18284f7b"],"state_sha256":"3e8c17b4f9d11a68ee297c3a81b39f2151624082c307e88994ba852506a07145"}