{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QP5ZCPIQTIK5HC7ETYVDZBCPEF","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":"6847841040f98a39d3975800aa97e27a2f5c735f647324b8ff19829ea32b9a30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2019-01-14T19:43:07Z","title_canon_sha256":"e208c5f53034ec4f4b9b20121bbe8b741cb1646f650cadd2c945cddbd3a253bc"},"schema_version":"1.0","source":{"id":"1901.04535","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.04535","created_at":"2026-05-17T23:56:22Z"},{"alias_kind":"arxiv_version","alias_value":"1901.04535v1","created_at":"2026-05-17T23:56:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.04535","created_at":"2026-05-17T23:56:22Z"},{"alias_kind":"pith_short_12","alias_value":"QP5ZCPIQTIK5","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"QP5ZCPIQTIK5HC7E","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"QP5ZCPIQ","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:321b19a6c8d59753c0dfcb443d7f936bae65d6499e641f8bc25b02bff762403a","target":"graph","created_at":"2026-05-17T23:56:22Z","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 demonstrate that there exists a continuum Hamiltonian $H(\\bf{r},\\bf{p})$ that is formally the operator equivalent of the general tight-binding method, inheriting the associativity and Hermiticity of the latter operator. This provides a powerful and controlled method of obtaining effective Hamiltonians via Taylor expansion with respect to momentum and, optionally, deformation fields. In particular, for fundamentally non-perturbative defects, such as twist faults and partial dislocations, the method allows the deformation field to be retained to all orders, providing an efficient scheme for t","authors_text":"D. Weckbecker, F. Rost, J. Olivares, M. Fleischmann, M. Vogl, N. Ray, O. Pankratov, R. Gupta, S. Shallcross, S. Sharma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2019-01-14T19:43:07Z","title":"A non-perturbative theory of effective Hamiltonians: example of moir\\'e materials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.04535","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":"sha256:98d8ae3b3751568abaee00c267ee773e4238d40fc9aa19ac8d5e6d91b99cae74","target":"record","created_at":"2026-05-17T23:56:22Z","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":"6847841040f98a39d3975800aa97e27a2f5c735f647324b8ff19829ea32b9a30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2019-01-14T19:43:07Z","title_canon_sha256":"e208c5f53034ec4f4b9b20121bbe8b741cb1646f650cadd2c945cddbd3a253bc"},"schema_version":"1.0","source":{"id":"1901.04535","kind":"arxiv","version":1}},"canonical_sha256":"83fb913d109a15d38be49e2a3c844f217698e4608be44828850daed223bb2b26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83fb913d109a15d38be49e2a3c844f217698e4608be44828850daed223bb2b26","first_computed_at":"2026-05-17T23:56:22.477210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:22.477210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yrCPlGvDyRGLjZB4L8aDjDvcN07s5KtUKBp8bNqblIhKPM30S4yj9UQ/7eC7Abu8maOBvM0BGf2U4YTeIcKbCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:22.477826Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.04535","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98d8ae3b3751568abaee00c267ee773e4238d40fc9aa19ac8d5e6d91b99cae74","sha256:321b19a6c8d59753c0dfcb443d7f936bae65d6499e641f8bc25b02bff762403a"],"state_sha256":"bc9cd194c74eb3253822a034ad7736f67e93cf378a8f7e2d3be4ebb1f6541871"}