{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:NDSVRGRC25DBGJKL646LSVYYK5","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":"adf7b48c665d1adce516b49d002c489e4d7a851b00ed7981740f349b59a257b8","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1999-06-09T09:38:11Z","title_canon_sha256":"11f696d666766d7b5da4fae36c6c0f962971cb848a9dd4c7cfccce28a56535ef"},"schema_version":"1.0","source":{"id":"cond-mat/9906128","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9906128","created_at":"2026-05-18T01:39:28Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9906128v1","created_at":"2026-05-18T01:39:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9906128","created_at":"2026-05-18T01:39:28Z"},{"alias_kind":"pith_short_12","alias_value":"NDSVRGRC25DB","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"NDSVRGRC25DBGJKL","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"NDSVRGRC","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:dc56d7bac181cdb718b75d765b867b83c794fe6af02cb487dedefe346e5d8a73","target":"graph","created_at":"2026-05-18T01:39:28Z","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":"Electronic states of an $e_g$ electron are calculated in the system composed of two MnO$_6$ octahedra with the inclusion of the Berry phase acquired by parallel transport. Based on this calculation, a comment is made on the controversy between ``Wigner-crystal'' and ``paired-stripe'' models for the the insulating charge-ordered manganese oxides.","authors_text":"Hiroyasu Koizumi, Takashi Hotta, Yasutami Takada","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1999-06-09T09:38:11Z","title":"Stripe Structures and the Berry-Phase Connection: Concept of Geometric Energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9906128","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:c84a130c53060b693bf4e9667c48fc50b8e16adda18c1600b027359c5a4a6034","target":"record","created_at":"2026-05-18T01:39:28Z","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":"adf7b48c665d1adce516b49d002c489e4d7a851b00ed7981740f349b59a257b8","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat","submitted_at":"1999-06-09T09:38:11Z","title_canon_sha256":"11f696d666766d7b5da4fae36c6c0f962971cb848a9dd4c7cfccce28a56535ef"},"schema_version":"1.0","source":{"id":"cond-mat/9906128","kind":"arxiv","version":1}},"canonical_sha256":"68e5589a22d74613254bf73cb957185771b01adee7b23fa4a06d120510ef579d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68e5589a22d74613254bf73cb957185771b01adee7b23fa4a06d120510ef579d","first_computed_at":"2026-05-18T01:39:28.722385Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:28.722385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"utSzANVzlDS+OcU9PMZWqp2KXZXgpdidfatRouS0bF7OvPglj1LoOAjQqhQ7IXtwNXgxFiRk0TYzy7v+EWjnDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:28.723142Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9906128","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c84a130c53060b693bf4e9667c48fc50b8e16adda18c1600b027359c5a4a6034","sha256:dc56d7bac181cdb718b75d765b867b83c794fe6af02cb487dedefe346e5d8a73"],"state_sha256":"359e3b882f5dbf3a6976bba4c1b9a65a7190b07800a4c017c937565de7a41d60"}