{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:QP5ZCPIQTIK5HC7ETYVDZBCPEF","short_pith_number":"pith:QP5ZCPIQ","schema_version":"1.0","canonical_sha256":"83fb913d109a15d38be49e2a3c844f217698e4608be44828850daed223bb2b26","source":{"kind":"arxiv","id":"1901.04535","version":1},"attestation_state":"computed","paper":{"title":"A non-perturbative theory of effective Hamiltonians: example of moir\\'e materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"D. Weckbecker, F. Rost, J. Olivares, M. Fleischmann, M. Vogl, N. Ray, O. Pankratov, R. Gupta, S. Shallcross, S. Sharma","submitted_at":"2019-01-14T19:43:07Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1901.04535","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2019-01-14T19:43:07Z","cross_cats_sorted":[],"title_canon_sha256":"e208c5f53034ec4f4b9b20121bbe8b741cb1646f650cadd2c945cddbd3a253bc","abstract_canon_sha256":"6847841040f98a39d3975800aa97e27a2f5c735f647324b8ff19829ea32b9a30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:22.477826Z","signature_b64":"yrCPlGvDyRGLjZB4L8aDjDvcN07s5KtUKBp8bNqblIhKPM30S4yj9UQ/7eC7Abu8maOBvM0BGf2U4YTeIcKbCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83fb913d109a15d38be49e2a3c844f217698e4608be44828850daed223bb2b26","last_reissued_at":"2026-05-17T23:56:22.477210Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:22.477210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A non-perturbative theory of effective Hamiltonians: example of moir\\'e materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"D. Weckbecker, F. Rost, J. Olivares, M. Fleischmann, M. Vogl, N. Ray, O. Pankratov, R. Gupta, S. Shallcross, S. Sharma","submitted_at":"2019-01-14T19:43:07Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.04535","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1901.04535","created_at":"2026-05-17T23:56:22.477306+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.04535v1","created_at":"2026-05-17T23:56:22.477306+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.04535","created_at":"2026-05-17T23:56:22.477306+00:00"},{"alias_kind":"pith_short_12","alias_value":"QP5ZCPIQTIK5","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"QP5ZCPIQTIK5HC7E","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"QP5ZCPIQ","created_at":"2026-05-18T12:33:27.125529+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QP5ZCPIQTIK5HC7ETYVDZBCPEF","json":"https://pith.science/pith/QP5ZCPIQTIK5HC7ETYVDZBCPEF.json","graph_json":"https://pith.science/api/pith-number/QP5ZCPIQTIK5HC7ETYVDZBCPEF/graph.json","events_json":"https://pith.science/api/pith-number/QP5ZCPIQTIK5HC7ETYVDZBCPEF/events.json","paper":"https://pith.science/paper/QP5ZCPIQ"},"agent_actions":{"view_html":"https://pith.science/pith/QP5ZCPIQTIK5HC7ETYVDZBCPEF","download_json":"https://pith.science/pith/QP5ZCPIQTIK5HC7ETYVDZBCPEF.json","view_paper":"https://pith.science/paper/QP5ZCPIQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.04535&json=true","fetch_graph":"https://pith.science/api/pith-number/QP5ZCPIQTIK5HC7ETYVDZBCPEF/graph.json","fetch_events":"https://pith.science/api/pith-number/QP5ZCPIQTIK5HC7ETYVDZBCPEF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QP5ZCPIQTIK5HC7ETYVDZBCPEF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QP5ZCPIQTIK5HC7ETYVDZBCPEF/action/storage_attestation","attest_author":"https://pith.science/pith/QP5ZCPIQTIK5HC7ETYVDZBCPEF/action/author_attestation","sign_citation":"https://pith.science/pith/QP5ZCPIQTIK5HC7ETYVDZBCPEF/action/citation_signature","submit_replication":"https://pith.science/pith/QP5ZCPIQTIK5HC7ETYVDZBCPEF/action/replication_record"}},"created_at":"2026-05-17T23:56:22.477306+00:00","updated_at":"2026-05-17T23:56:22.477306+00:00"}