{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:23OANGKRSUVWOQMJWM34CPAGLI","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":"6d6281e3961ab6b73de5e44a2fba7f51da82dd7c82a8575ed5d9f190e540c668","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-10-24T09:45:24Z","title_canon_sha256":"1a76a4c4331a9f85d6a81dee234c613d9e083e58d730556947fb16428a45887b"},"schema_version":"1.0","source":{"id":"1410.6630","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.6630","created_at":"2026-05-18T02:30:17Z"},{"alias_kind":"arxiv_version","alias_value":"1410.6630v2","created_at":"2026-05-18T02:30:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.6630","created_at":"2026-05-18T02:30:17Z"},{"alias_kind":"pith_short_12","alias_value":"23OANGKRSUVW","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"23OANGKRSUVWOQMJ","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"23OANGKR","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:89c23e94b6d7008ea4a4ec73526d54237956f744958581bf177674c44a884e52","target":"graph","created_at":"2026-05-18T02:30:17Z","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 present a large-scale combinatorial-diagrammatic computation of high-order contributions to the strong-coupling Kato-Takahashi perturbation series for the Hubbard model in high dimensions. The ground-state energy of the Mott-insulating phase is determined exactly up to the 15-th order in 1/U. The perturbation expansion is extrapolated to infinite order and the critical behavior is determined using the Domb-Sykes method. We compare the perturbative results with two dynamical mean-field theory (DMFT) calculations using a quantum Monte Carlo method and a density-matrix renormalization group me","authors_text":"Eric Jeckelmann, Eva Kalinowski, Martin Paech, Walter Apel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-10-24T09:45:24Z","title":"Comparison of computer-algebra strong-coupling perturbation theory and dynamical mean-field theory for the Mott-Hubbard insulator in high dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.6630","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:d3782361ae7c03e56d381c8356f1ed77b46afba22ae2ff03f20fcccd712c389e","target":"record","created_at":"2026-05-18T02:30:17Z","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":"6d6281e3961ab6b73de5e44a2fba7f51da82dd7c82a8575ed5d9f190e540c668","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-10-24T09:45:24Z","title_canon_sha256":"1a76a4c4331a9f85d6a81dee234c613d9e083e58d730556947fb16428a45887b"},"schema_version":"1.0","source":{"id":"1410.6630","kind":"arxiv","version":2}},"canonical_sha256":"d6dc069951952b674189b337c13c065a23427bd3734d3342615b6fb8fe31787c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6dc069951952b674189b337c13c065a23427bd3734d3342615b6fb8fe31787c","first_computed_at":"2026-05-18T02:30:17.555935Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:17.555935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J2+uObRzzfdoYPRPe9c/sJ3z+MY8ZHhUzYS8RHQDqls89+28YT2f60BZGJ2i+OKw2pOdrchWcabQ22j12611Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:17.556408Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.6630","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3782361ae7c03e56d381c8356f1ed77b46afba22ae2ff03f20fcccd712c389e","sha256:89c23e94b6d7008ea4a4ec73526d54237956f744958581bf177674c44a884e52"],"state_sha256":"e35d23f2f49bf575ffdff828305becff7a4d81125e799c35944367de2ad3cd23"}