{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:WMVBEYNCINUYSDPBB22JL7TB3E","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":"9a2ce4151454b097d3b107503b6d0f2a85dbcc51c826965d92800cd081097109","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-07-14T14:23:15Z","title_canon_sha256":"951b69bd4db6ab5bdeefe805fbc7f35fd20ef495df31776be45aa051ec05a6c3"},"schema_version":"1.0","source":{"id":"1407.3665","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.3665","created_at":"2026-05-18T02:03:48Z"},{"alias_kind":"arxiv_version","alias_value":"1407.3665v3","created_at":"2026-05-18T02:03:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.3665","created_at":"2026-05-18T02:03:48Z"},{"alias_kind":"pith_short_12","alias_value":"WMVBEYNCINUY","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"WMVBEYNCINUYSDPB","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"WMVBEYNC","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:e343a147643262a964db3a1c909013c8c2824c5631a70c7c239ea598ec233f10","target":"graph","created_at":"2026-05-18T02:03:48Z","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"},"paper":{"abstract_excerpt":"We discuss the well-known three-center cation-anion-cation model for superexchange in insulating transition-metal compounds using limiting expansions for the Anderson-Hubbard model. We find that due to the three interfering energy scales in the model, a limiting expression for the superexchange $J$ for the idealized Mott-Hubbard (M-H) case $t\\ll U\\ll \\Delta$ cannot be formally defined. We further show that no single expansion variable can describe any type of limiting behaviour for superexchange. The well-known $t^4$ expression for M-H insulators, obtained from path-dependent series expansions","authors_text":"D. Psiachos","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-07-14T14:23:15Z","title":"Non-Convergent Perturbation Theory and Misleading Inferences about Parameter Relationships: the Case of Superexchange"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.3665","kind":"arxiv","version":3},"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":"sha256:7cfba31d9f99a219d4e91b1acd76ffa18276ecc87b7863ccd2fcec21394ebdc6","target":"record","created_at":"2026-05-18T02:03:48Z","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":"9a2ce4151454b097d3b107503b6d0f2a85dbcc51c826965d92800cd081097109","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-07-14T14:23:15Z","title_canon_sha256":"951b69bd4db6ab5bdeefe805fbc7f35fd20ef495df31776be45aa051ec05a6c3"},"schema_version":"1.0","source":{"id":"1407.3665","kind":"arxiv","version":3}},"canonical_sha256":"b32a1261a24369890de10eb495fe61d909d3b5dd1d27e2004b5807801d343506","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b32a1261a24369890de10eb495fe61d909d3b5dd1d27e2004b5807801d343506","first_computed_at":"2026-05-18T02:03:48.388843Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:48.388843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2PrgrAQT/uK35NTYai1JVLzOrSzLuxeDN2/LBBGn29msrHFxNNgbUiHh8EMz4qIqGGmLtjHHVWutFHrsm1kZAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:48.389763Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.3665","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7cfba31d9f99a219d4e91b1acd76ffa18276ecc87b7863ccd2fcec21394ebdc6","sha256:e343a147643262a964db3a1c909013c8c2824c5631a70c7c239ea598ec233f10"],"state_sha256":"b5947e8a276c88fc1b6ee7b89df5c4c1794e7e64c23f5553b3ada8913af7e37e"}