{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:OBS76MDTAXPMXKHK5Q5UA4HEAS","short_pith_number":"pith:OBS76MDT","canonical_record":{"source":{"id":"cond-mat/0011407","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2000-11-23T12:50:33Z","cross_cats_sorted":[],"title_canon_sha256":"ade2d5d92ee30bc2f9c8aa12a8eff304965afdb83ad6e7f982e380d0030792f2","abstract_canon_sha256":"0813afe08625cac57b4ace85d3e76debd25e3fd62aeec5d4ad3bce0a138c0965"},"schema_version":"1.0"},"canonical_sha256":"7065ff307305decba8eaec3b4070e404b3ab03be6c3d5876952a2b931b124d23","source":{"kind":"arxiv","id":"cond-mat/0011407","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0011407","created_at":"2026-05-18T02:58:58Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0011407v1","created_at":"2026-05-18T02:58:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0011407","created_at":"2026-05-18T02:58:58Z"},{"alias_kind":"pith_short_12","alias_value":"OBS76MDTAXPM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"OBS76MDTAXPMXKHK","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"OBS76MDT","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:OBS76MDTAXPMXKHK5Q5UA4HEAS","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0011407","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2000-11-23T12:50:33Z","cross_cats_sorted":[],"title_canon_sha256":"ade2d5d92ee30bc2f9c8aa12a8eff304965afdb83ad6e7f982e380d0030792f2","abstract_canon_sha256":"0813afe08625cac57b4ace85d3e76debd25e3fd62aeec5d4ad3bce0a138c0965"},"schema_version":"1.0"},"canonical_sha256":"7065ff307305decba8eaec3b4070e404b3ab03be6c3d5876952a2b931b124d23","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:58.350683Z","signature_b64":"2aBKJMWtFinp2Y7pQYqS1/XhKcZ+1BS3Hd2e7Cd3zVYvTDnuaCiGXQqmuun88Ea3/jB4jr84rwhE+rerRdNjDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7065ff307305decba8eaec3b4070e404b3ab03be6c3d5876952a2b931b124d23","last_reissued_at":"2026-05-18T02:58:58.349742Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:58.349742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0011407","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:58:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c2Ksqd3hHZn6XlYj+m4H//N1SzO7Zp2fr5kUtKwKc99zBKRl1/QXUC5lFplcAV1en5nl7PlDAL0kkJMAcL6EBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:52:20.413223Z"},"content_sha256":"2f460b03ae79aa6208ac66622440dd0b3106772062d6c27ef6c3d5a1264d003a","schema_version":"1.0","event_id":"sha256:2f460b03ae79aa6208ac66622440dd0b3106772062d6c27ef6c3d5a1264d003a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:OBS76MDTAXPMXKHK5Q5UA4HEAS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strong coupling Hartree-Fock approximation in the dynamical mean-field theory","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A. M. Shvaika","submitted_at":"2000-11-23T12:50:33Z","abstract_excerpt":"In the limit of infinite spatial dimensions a thermodynamically consistent theory, which is valid for arbitrary value of the Coulombic interaction ($U<\\infty$), is built for the Hubbard model when the total auxiliary single-site problem exactly splits into four subspaces with different ``vacuum states''. Some analytical results are given for the Hartree-Fock approximation when the 4-pole structure for Green's function is obtained: two poles describe contribution from the Fermi liquid component, which is ferromagnetic and dominant for small electron and hole concentrations (``overdoped case'' o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0011407","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:58:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"axsNTxaAnoh/jYO0jEkC6QjHWeEba+iF4Fs3qXBR/pGEssrDGwAnoQSuvBe0ZHWvma8PTMYmNC6zd4mZkQ2JBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:52:20.413983Z"},"content_sha256":"e808fc5d90461fe1f9634a09f1226140658b69dcd6641baa3259a963daf56ed1","schema_version":"1.0","event_id":"sha256:e808fc5d90461fe1f9634a09f1226140658b69dcd6641baa3259a963daf56ed1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OBS76MDTAXPMXKHK5Q5UA4HEAS/bundle.json","state_url":"https://pith.science/pith/OBS76MDTAXPMXKHK5Q5UA4HEAS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OBS76MDTAXPMXKHK5Q5UA4HEAS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T07:52:20Z","links":{"resolver":"https://pith.science/pith/OBS76MDTAXPMXKHK5Q5UA4HEAS","bundle":"https://pith.science/pith/OBS76MDTAXPMXKHK5Q5UA4HEAS/bundle.json","state":"https://pith.science/pith/OBS76MDTAXPMXKHK5Q5UA4HEAS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OBS76MDTAXPMXKHK5Q5UA4HEAS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:OBS76MDTAXPMXKHK5Q5UA4HEAS","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":"0813afe08625cac57b4ace85d3e76debd25e3fd62aeec5d4ad3bce0a138c0965","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2000-11-23T12:50:33Z","title_canon_sha256":"ade2d5d92ee30bc2f9c8aa12a8eff304965afdb83ad6e7f982e380d0030792f2"},"schema_version":"1.0","source":{"id":"cond-mat/0011407","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0011407","created_at":"2026-05-18T02:58:58Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0011407v1","created_at":"2026-05-18T02:58:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0011407","created_at":"2026-05-18T02:58:58Z"},{"alias_kind":"pith_short_12","alias_value":"OBS76MDTAXPM","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"OBS76MDTAXPMXKHK","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"OBS76MDT","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:e808fc5d90461fe1f9634a09f1226140658b69dcd6641baa3259a963daf56ed1","target":"graph","created_at":"2026-05-18T02:58:58Z","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 limit of infinite spatial dimensions a thermodynamically consistent theory, which is valid for arbitrary value of the Coulombic interaction ($U<\\infty$), is built for the Hubbard model when the total auxiliary single-site problem exactly splits into four subspaces with different ``vacuum states''. Some analytical results are given for the Hartree-Fock approximation when the 4-pole structure for Green's function is obtained: two poles describe contribution from the Fermi liquid component, which is ferromagnetic and dominant for small electron and hole concentrations (``overdoped case'' o","authors_text":"A. M. Shvaika","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.str-el","submitted_at":"2000-11-23T12:50:33Z","title":"Strong coupling Hartree-Fock approximation in the dynamical mean-field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0011407","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":"sha256:2f460b03ae79aa6208ac66622440dd0b3106772062d6c27ef6c3d5a1264d003a","target":"record","created_at":"2026-05-18T02:58:58Z","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":"0813afe08625cac57b4ace85d3e76debd25e3fd62aeec5d4ad3bce0a138c0965","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2000-11-23T12:50:33Z","title_canon_sha256":"ade2d5d92ee30bc2f9c8aa12a8eff304965afdb83ad6e7f982e380d0030792f2"},"schema_version":"1.0","source":{"id":"cond-mat/0011407","kind":"arxiv","version":1}},"canonical_sha256":"7065ff307305decba8eaec3b4070e404b3ab03be6c3d5876952a2b931b124d23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7065ff307305decba8eaec3b4070e404b3ab03be6c3d5876952a2b931b124d23","first_computed_at":"2026-05-18T02:58:58.349742Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:58.349742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2aBKJMWtFinp2Y7pQYqS1/XhKcZ+1BS3Hd2e7Cd3zVYvTDnuaCiGXQqmuun88Ea3/jB4jr84rwhE+rerRdNjDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:58.350683Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0011407","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2f460b03ae79aa6208ac66622440dd0b3106772062d6c27ef6c3d5a1264d003a","sha256:e808fc5d90461fe1f9634a09f1226140658b69dcd6641baa3259a963daf56ed1"],"state_sha256":"6c767c2f23e2fdf942013d938cdfd56438d4fda745be5355c9da6ad786705e5b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0cqvASyFghsg3AnXADZ7hhGkdP7jGGoaDp3IhnNSW3Z5A8OQ3jh0gtTe7A1rC4YQlcuzvNcucE1Pwu3znZ6xBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:52:20.417859Z","bundle_sha256":"5f9184a1b281a305640725a38c8595159c85783aa761620449e4effa1988fa96"}}