{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:KLBOQWQWIZALT44GGLPAZ4SSMI","short_pith_number":"pith:KLBOQWQW","canonical_record":{"source":{"id":"cond-mat/0102469","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-02-26T15:10:37Z","cross_cats_sorted":[],"title_canon_sha256":"a07144dd94caf6100b62db427861c6185247494aaf744dde07904092545a8c61","abstract_canon_sha256":"614286bf50777e8ede92f03ba59550143180431fe0d6a6b155709de1566bc390"},"schema_version":"1.0"},"canonical_sha256":"52c2e85a164640b9f38632de0cf2526221ae79c11ec873d92ad89810c58ebdf8","source":{"kind":"arxiv","id":"cond-mat/0102469","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0102469","created_at":"2026-05-18T03:24:40Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0102469v2","created_at":"2026-05-18T03:24:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0102469","created_at":"2026-05-18T03:24:40Z"},{"alias_kind":"pith_short_12","alias_value":"KLBOQWQWIZAL","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"KLBOQWQWIZALT44G","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"KLBOQWQW","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:KLBOQWQWIZALT44GGLPAZ4SSMI","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0102469","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-02-26T15:10:37Z","cross_cats_sorted":[],"title_canon_sha256":"a07144dd94caf6100b62db427861c6185247494aaf744dde07904092545a8c61","abstract_canon_sha256":"614286bf50777e8ede92f03ba59550143180431fe0d6a6b155709de1566bc390"},"schema_version":"1.0"},"canonical_sha256":"52c2e85a164640b9f38632de0cf2526221ae79c11ec873d92ad89810c58ebdf8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:24:40.080973Z","signature_b64":"C2dmshVYFy5RMdy4UcoDVPJF2zIhh8lJl/Rh74cmkdRzfFk1n5AqD6XZ3R/+jyBSaC5OaKBIp4xXb5938ZINAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52c2e85a164640b9f38632de0cf2526221ae79c11ec873d92ad89810c58ebdf8","last_reissued_at":"2026-05-18T03:24:40.080254Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:24:40.080254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0102469","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:24:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pws/vtduXXDfOM+iQn6JtTRgOYBkm6IaGhbswFXCdGbouZXbqnO3hqs61oUk8B2zccw450DXAdomF/m7JCv5BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:26:03.916445Z"},"content_sha256":"e33d8e586bbe073463d50db2e2c2f3fece1ccc6d50dcb6c23d11b89324d387c2","schema_version":"1.0","event_id":"sha256:e33d8e586bbe073463d50db2e2c2f3fece1ccc6d50dcb6c23d11b89324d387c2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:KLBOQWQWIZALT44GGLPAZ4SSMI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ferromagnetic transition in a double-exchange system","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Eugene Kogan, Mark Auslender","submitted_at":"2001-02-26T15:10:37Z","abstract_excerpt":"We study ferromagnetic transition in three-dimensional double-exchange model. The influence of strong spin fluctuations on conduction electrons is described in coherent potential approximation. In the framework of thermodynamic approach we construct for the system \"electrons (in a disordered spin configuration) + spins\" the Landau functional, from the analysis of which critical temperature of ferromagnetic transition is calculated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0102469","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:24:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J+EEJVtPk07RF2wxwfx5mm3FSkqzitMqQm18n1ZEz8ENnDmw/7fNYKIhI56QPlhiZc6RcNYlfx1gcDZgdz5bCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:26:03.916790Z"},"content_sha256":"a0683be694e35e965468236dcda21964f45aef7f51f10ecccb0342429f2d5b87","schema_version":"1.0","event_id":"sha256:a0683be694e35e965468236dcda21964f45aef7f51f10ecccb0342429f2d5b87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KLBOQWQWIZALT44GGLPAZ4SSMI/bundle.json","state_url":"https://pith.science/pith/KLBOQWQWIZALT44GGLPAZ4SSMI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KLBOQWQWIZALT44GGLPAZ4SSMI/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":"2026-06-02T05:26:03Z","links":{"resolver":"https://pith.science/pith/KLBOQWQWIZALT44GGLPAZ4SSMI","bundle":"https://pith.science/pith/KLBOQWQWIZALT44GGLPAZ4SSMI/bundle.json","state":"https://pith.science/pith/KLBOQWQWIZALT44GGLPAZ4SSMI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KLBOQWQWIZALT44GGLPAZ4SSMI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:KLBOQWQWIZALT44GGLPAZ4SSMI","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":"614286bf50777e8ede92f03ba59550143180431fe0d6a6b155709de1566bc390","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-02-26T15:10:37Z","title_canon_sha256":"a07144dd94caf6100b62db427861c6185247494aaf744dde07904092545a8c61"},"schema_version":"1.0","source":{"id":"cond-mat/0102469","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0102469","created_at":"2026-05-18T03:24:40Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0102469v2","created_at":"2026-05-18T03:24:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0102469","created_at":"2026-05-18T03:24:40Z"},{"alias_kind":"pith_short_12","alias_value":"KLBOQWQWIZAL","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"KLBOQWQWIZALT44G","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"KLBOQWQW","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:a0683be694e35e965468236dcda21964f45aef7f51f10ecccb0342429f2d5b87","target":"graph","created_at":"2026-05-18T03:24:40Z","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 ferromagnetic transition in three-dimensional double-exchange model. The influence of strong spin fluctuations on conduction electrons is described in coherent potential approximation. In the framework of thermodynamic approach we construct for the system \"electrons (in a disordered spin configuration) + spins\" the Landau functional, from the analysis of which critical temperature of ferromagnetic transition is calculated.","authors_text":"Eugene Kogan, Mark Auslender","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-02-26T15:10:37Z","title":"Ferromagnetic transition in a double-exchange system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0102469","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:e33d8e586bbe073463d50db2e2c2f3fece1ccc6d50dcb6c23d11b89324d387c2","target":"record","created_at":"2026-05-18T03:24:40Z","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":"614286bf50777e8ede92f03ba59550143180431fe0d6a6b155709de1566bc390","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-02-26T15:10:37Z","title_canon_sha256":"a07144dd94caf6100b62db427861c6185247494aaf744dde07904092545a8c61"},"schema_version":"1.0","source":{"id":"cond-mat/0102469","kind":"arxiv","version":2}},"canonical_sha256":"52c2e85a164640b9f38632de0cf2526221ae79c11ec873d92ad89810c58ebdf8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52c2e85a164640b9f38632de0cf2526221ae79c11ec873d92ad89810c58ebdf8","first_computed_at":"2026-05-18T03:24:40.080254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:40.080254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C2dmshVYFy5RMdy4UcoDVPJF2zIhh8lJl/Rh74cmkdRzfFk1n5AqD6XZ3R/+jyBSaC5OaKBIp4xXb5938ZINAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:40.080973Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0102469","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e33d8e586bbe073463d50db2e2c2f3fece1ccc6d50dcb6c23d11b89324d387c2","sha256:a0683be694e35e965468236dcda21964f45aef7f51f10ecccb0342429f2d5b87"],"state_sha256":"be54b8cde9d12bfc5a03467b1824c83776e843756476c06f05c91f489bd4c65e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kt/jR3CoZ/wIWVBMPQZNtLYqGx9J8vUD1rAwIMCKEJgisjKjbr2ZRjtOldbCWVfCLwdrUqg3lG/u1Q9DvAUPBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T05:26:03.918708Z","bundle_sha256":"27a1077d80392cf7f86544fe2889fd58493edc37127fc6ef88959c1d39797304"}}