{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZS2C54UEOGZV4PUZM4GLF4WI5P","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":"ca3486fac9438e61cb2982ee7f6d33728edbffe9e1c1a88b20fa618edf477a0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-11-16T10:17:07Z","title_canon_sha256":"9244c45269788fb185072a94cb9b1d060cbb8194815fc21f17fed167c96d53f4"},"schema_version":"1.0","source":{"id":"1111.3751","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3751","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3751v1","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3751","created_at":"2026-05-18T01:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"ZS2C54UEOGZV","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZS2C54UEOGZV4PUZ","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZS2C54UE","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:232ef250ef271f325bbe07c671e1ca3592471ec820640f070d54bfe03d541e7b","target":"graph","created_at":"2026-05-18T01:59:32Z","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":"In the framework of the many-electron s-d exchange model and Hubbard model, self-consistent equations are derived for the one-particle retarded Green's function in the many-electron Hubbard X-operator representation. We analyze the general structure of the single-site approximations and their connection with the coherent potential approximation (CPA) and dynamic effective field theory (DMFT). Using the self-consistent approximation, we examine in detail the picture of the evolution of the electron spectrum with the model parameters (coupling constants, the concentration of charge carriers). Th","authors_text":"A. O. Anokhin, A. V. Zarubin, V. Yu. Irkhin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-11-16T10:17:07Z","title":"Evolution of the spectrum and the metal-insulator transition in local approximations for many-electron models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3751","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:fb69fcfa948d95cba8b580b7aca3ba902d90d01a7d23a79e18fd35043c6d4575","target":"record","created_at":"2026-05-18T01:59:32Z","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":"ca3486fac9438e61cb2982ee7f6d33728edbffe9e1c1a88b20fa618edf477a0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-11-16T10:17:07Z","title_canon_sha256":"9244c45269788fb185072a94cb9b1d060cbb8194815fc21f17fed167c96d53f4"},"schema_version":"1.0","source":{"id":"1111.3751","kind":"arxiv","version":1}},"canonical_sha256":"ccb42ef28471b35e3e99670cb2f2c8ebf41187c24ce3db0fd398766265766be9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ccb42ef28471b35e3e99670cb2f2c8ebf41187c24ce3db0fd398766265766be9","first_computed_at":"2026-05-18T01:59:32.512452Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:32.512452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BkfvfcFub0ZSXQNsjiwKgSWSeOzNBzn8rw7ewNeYKq/l6+C1JgWyPdvmDsSF3lakioSFO6I59qJBU3HcrI14CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:32.513157Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.3751","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb69fcfa948d95cba8b580b7aca3ba902d90d01a7d23a79e18fd35043c6d4575","sha256:232ef250ef271f325bbe07c671e1ca3592471ec820640f070d54bfe03d541e7b"],"state_sha256":"404c0be84a4ee0679216661b0e0970960776e8004ab65a16b4c74538100e5bff"}