{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:UAPCQG2TLLRMXDROVTWMBI6WQC","short_pith_number":"pith:UAPCQG2T","canonical_record":{"source":{"id":"cond-mat/0305345","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-05-15T11:02:12Z","cross_cats_sorted":[],"title_canon_sha256":"6264cb9d089638d8b54aa40f7a2ee867d1be9387f3c3188c2201ecee3e199701","abstract_canon_sha256":"8d26ff59d55d5b023ddac015d797df8566860a2e36138c46c2537c9760683b02"},"schema_version":"1.0"},"canonical_sha256":"a01e281b535ae2cb8e2eacecc0a3d680925273552ba88acd34d0eab528017b12","source":{"kind":"arxiv","id":"cond-mat/0305345","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0305345","created_at":"2026-07-04T16:38:48Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0305345v2","created_at":"2026-07-04T16:38:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0305345","created_at":"2026-07-04T16:38:48Z"},{"alias_kind":"pith_short_12","alias_value":"UAPCQG2TLLRM","created_at":"2026-07-04T16:38:48Z"},{"alias_kind":"pith_short_16","alias_value":"UAPCQG2TLLRMXDRO","created_at":"2026-07-04T16:38:48Z"},{"alias_kind":"pith_short_8","alias_value":"UAPCQG2T","created_at":"2026-07-04T16:38:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:UAPCQG2TLLRMXDROVTWMBI6WQC","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0305345","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-05-15T11:02:12Z","cross_cats_sorted":[],"title_canon_sha256":"6264cb9d089638d8b54aa40f7a2ee867d1be9387f3c3188c2201ecee3e199701","abstract_canon_sha256":"8d26ff59d55d5b023ddac015d797df8566860a2e36138c46c2537c9760683b02"},"schema_version":"1.0"},"canonical_sha256":"a01e281b535ae2cb8e2eacecc0a3d680925273552ba88acd34d0eab528017b12","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:38:48.016662Z","signature_b64":"ZXuKqZgrPaHgZIjorKQHv1Xvw3hYHnd84BmggR7WQ9QEzqlcumketYlaX57cZV+od2cgXIHYGaXKB2UvufZKBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a01e281b535ae2cb8e2eacecc0a3d680925273552ba88acd34d0eab528017b12","last_reissued_at":"2026-07-04T16:38:48.016310Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:38:48.016310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0305345","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":"2026-07-04T16:38:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SrrYDYqb+55KR1gVVolIdzSsOu+VQ0gcv7w7LqLfBgDhHy0MFy8zhCoHpQoVIrCZ0hiARQwxvJQq03nmSenDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T23:24:54.827156Z"},"content_sha256":"9dce68d6df9133aab0a36c0c04a1b3f1a14568ae8795dae4058f569f60ec3144","schema_version":"1.0","event_id":"sha256:9dce68d6df9133aab0a36c0c04a1b3f1a14568ae8795dae4058f569f60ec3144"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:UAPCQG2TLLRMXDROVTWMBI6WQC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Double Exchange Models: Self Consistent Renormalisation","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Pinaki Majumdar, Sanjeev Kumar","submitted_at":"2003-05-15T11:02:12Z","abstract_excerpt":"We propose a scheme for constructing classical spin Hamiltonians from Hunds coupled spin-fermion models in the limit J_H/t \\to \\infinity. The strong coupling between fermions and the core spins requires self-consistent calculation of the effective exchange in the model, either in the presence of inhomogeneities or with changing temperature. In this paper we establish the formalism and discuss results mainly on the ``clean'' double exchange model, with self consistently renormalised couplings, and compare our results with exact simulations. Our method allows access to system sizes much beyond t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0305345","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0305345/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:38:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UDTYRx90qi0dHI5y31NtEYEphgtezk88J7xpP/L5ramp5h8HCexHBXiGE54VlyShZv6E4q0tcjncVxsmMjauBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T23:24:54.827654Z"},"content_sha256":"21f1e3e3ffff53b5526fcba7cc4e5469a3d6fc7b76e53b26b3991f2dcee936a0","schema_version":"1.0","event_id":"sha256:21f1e3e3ffff53b5526fcba7cc4e5469a3d6fc7b76e53b26b3991f2dcee936a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UAPCQG2TLLRMXDROVTWMBI6WQC/bundle.json","state_url":"https://pith.science/pith/UAPCQG2TLLRMXDROVTWMBI6WQC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UAPCQG2TLLRMXDROVTWMBI6WQC/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":"2026-08-13T23:24:54Z","links":{"resolver":"https://pith.science/pith/UAPCQG2TLLRMXDROVTWMBI6WQC","bundle":"https://pith.science/pith/UAPCQG2TLLRMXDROVTWMBI6WQC/bundle.json","state":"https://pith.science/pith/UAPCQG2TLLRMXDROVTWMBI6WQC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UAPCQG2TLLRMXDROVTWMBI6WQC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:UAPCQG2TLLRMXDROVTWMBI6WQC","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":"8d26ff59d55d5b023ddac015d797df8566860a2e36138c46c2537c9760683b02","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-05-15T11:02:12Z","title_canon_sha256":"6264cb9d089638d8b54aa40f7a2ee867d1be9387f3c3188c2201ecee3e199701"},"schema_version":"1.0","source":{"id":"cond-mat/0305345","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0305345","created_at":"2026-07-04T16:38:48Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0305345v2","created_at":"2026-07-04T16:38:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0305345","created_at":"2026-07-04T16:38:48Z"},{"alias_kind":"pith_short_12","alias_value":"UAPCQG2TLLRM","created_at":"2026-07-04T16:38:48Z"},{"alias_kind":"pith_short_16","alias_value":"UAPCQG2TLLRMXDRO","created_at":"2026-07-04T16:38:48Z"},{"alias_kind":"pith_short_8","alias_value":"UAPCQG2T","created_at":"2026-07-04T16:38:48Z"}],"graph_snapshots":[{"event_id":"sha256:21f1e3e3ffff53b5526fcba7cc4e5469a3d6fc7b76e53b26b3991f2dcee936a0","target":"graph","created_at":"2026-07-04T16:38:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0305345/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a scheme for constructing classical spin Hamiltonians from Hunds coupled spin-fermion models in the limit J_H/t \\to \\infinity. The strong coupling between fermions and the core spins requires self-consistent calculation of the effective exchange in the model, either in the presence of inhomogeneities or with changing temperature. In this paper we establish the formalism and discuss results mainly on the ``clean'' double exchange model, with self consistently renormalised couplings, and compare our results with exact simulations. Our method allows access to system sizes much beyond t","authors_text":"Pinaki Majumdar, Sanjeev Kumar","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-05-15T11:02:12Z","title":"Double Exchange Models: Self Consistent Renormalisation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0305345","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":"sha256:9dce68d6df9133aab0a36c0c04a1b3f1a14568ae8795dae4058f569f60ec3144","target":"record","created_at":"2026-07-04T16:38:48Z","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":"8d26ff59d55d5b023ddac015d797df8566860a2e36138c46c2537c9760683b02","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"2003-05-15T11:02:12Z","title_canon_sha256":"6264cb9d089638d8b54aa40f7a2ee867d1be9387f3c3188c2201ecee3e199701"},"schema_version":"1.0","source":{"id":"cond-mat/0305345","kind":"arxiv","version":2}},"canonical_sha256":"a01e281b535ae2cb8e2eacecc0a3d680925273552ba88acd34d0eab528017b12","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a01e281b535ae2cb8e2eacecc0a3d680925273552ba88acd34d0eab528017b12","first_computed_at":"2026-07-04T16:38:48.016310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:38:48.016310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZXuKqZgrPaHgZIjorKQHv1Xvw3hYHnd84BmggR7WQ9QEzqlcumketYlaX57cZV+od2cgXIHYGaXKB2UvufZKBQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:38:48.016662Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0305345","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9dce68d6df9133aab0a36c0c04a1b3f1a14568ae8795dae4058f569f60ec3144","sha256:21f1e3e3ffff53b5526fcba7cc4e5469a3d6fc7b76e53b26b3991f2dcee936a0"],"state_sha256":"13cf5a69872b68edcfe4c71ca6a5ad7957a89bee5a8a198b837b46d7e6e3e3ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0kJ+ZNLbmch/eEG19ZuMu33OyY8eI2VBuGYfk3YjoGB0/QolT8Wx93exy3Kpun60+1ilTobVw6JYWHos1ne4CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T23:24:54.837810Z","bundle_sha256":"c6cd80147e493ac4d109445a4f03286d66877ae3793162a0548aec7b763a8cef"}}