{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:37ID4PDIVPDSLFC3GSS3SUNODG","short_pith_number":"pith:37ID4PDI","schema_version":"1.0","canonical_sha256":"dfd03e3c68abc725945b34a5b951ae19a106d3924c44bc5d32084e559086737e","source":{"kind":"arxiv","id":"1810.03732","version":4},"attestation_state":"computed","paper":{"title":"Basis-Independent Spectral Methods for Non-linear Optical Response in Arbitrary Tight-binding Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"J. M. V. P. Lopes, S. M. Jo\\~ao","submitted_at":"2018-10-08T22:40:30Z","abstract_excerpt":"In this paper, we developed a basis-independent perturbative method for calculating the non-linear optical response of arbitrary non-interacting tight-binding models. Our method is based on the non-equilibrium Keldysh formalism and allows an efficient numerical implementation within the framework of the Kernel Polynomial Method for systems which are not required to be translation-invariant. Some proof-of-concept results of the second-order optical conductivity are presented for the special case of gapped graphene with vacancies and an on-site Anderson disordered potential."},"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":"1810.03732","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2018-10-08T22:40:30Z","cross_cats_sorted":[],"title_canon_sha256":"03094c82cc9e2c6501c88d0f57a8a38814a4edfcbeba3c80eef6ed75176687af","abstract_canon_sha256":"0ff1a597892c1319c1fdf38bc049230a131154adce51b88eeac72dce55c67dae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:12:27.627795Z","signature_b64":"g72N6La2HppFpCiLlPchHdmjPeyY7hh8eV8SuMupDiazbBKTaySuJOXUwrmS31pjbFUqBnocrxUw2fj1agRgAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dfd03e3c68abc725945b34a5b951ae19a106d3924c44bc5d32084e559086737e","last_reissued_at":"2026-07-05T02:12:27.627338Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:12:27.627338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Basis-Independent Spectral Methods for Non-linear Optical Response in Arbitrary Tight-binding Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"J. M. V. P. Lopes, S. M. Jo\\~ao","submitted_at":"2018-10-08T22:40:30Z","abstract_excerpt":"In this paper, we developed a basis-independent perturbative method for calculating the non-linear optical response of arbitrary non-interacting tight-binding models. Our method is based on the non-equilibrium Keldysh formalism and allows an efficient numerical implementation within the framework of the Kernel Polynomial Method for systems which are not required to be translation-invariant. Some proof-of-concept results of the second-order optical conductivity are presented for the special case of gapped graphene with vacancies and an on-site Anderson disordered potential."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.03732","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1810.03732/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1810.03732","created_at":"2026-07-05T02:12:27.627393+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.03732v4","created_at":"2026-07-05T02:12:27.627393+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.03732","created_at":"2026-07-05T02:12:27.627393+00:00"},{"alias_kind":"pith_short_12","alias_value":"37ID4PDIVPDS","created_at":"2026-07-05T02:12:27.627393+00:00"},{"alias_kind":"pith_short_16","alias_value":"37ID4PDIVPDSLFC3","created_at":"2026-07-05T02:12:27.627393+00:00"},{"alias_kind":"pith_short_8","alias_value":"37ID4PDI","created_at":"2026-07-05T02:12:27.627393+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.06910","citing_title":"Disorder driven multifractality transition in Weyl nodal loops","ref_index":53,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/37ID4PDIVPDSLFC3GSS3SUNODG","json":"https://pith.science/pith/37ID4PDIVPDSLFC3GSS3SUNODG.json","graph_json":"https://pith.science/api/pith-number/37ID4PDIVPDSLFC3GSS3SUNODG/graph.json","events_json":"https://pith.science/api/pith-number/37ID4PDIVPDSLFC3GSS3SUNODG/events.json","paper":"https://pith.science/paper/37ID4PDI"},"agent_actions":{"view_html":"https://pith.science/pith/37ID4PDIVPDSLFC3GSS3SUNODG","download_json":"https://pith.science/pith/37ID4PDIVPDSLFC3GSS3SUNODG.json","view_paper":"https://pith.science/paper/37ID4PDI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.03732&json=true","fetch_graph":"https://pith.science/api/pith-number/37ID4PDIVPDSLFC3GSS3SUNODG/graph.json","fetch_events":"https://pith.science/api/pith-number/37ID4PDIVPDSLFC3GSS3SUNODG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/37ID4PDIVPDSLFC3GSS3SUNODG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/37ID4PDIVPDSLFC3GSS3SUNODG/action/storage_attestation","attest_author":"https://pith.science/pith/37ID4PDIVPDSLFC3GSS3SUNODG/action/author_attestation","sign_citation":"https://pith.science/pith/37ID4PDIVPDSLFC3GSS3SUNODG/action/citation_signature","submit_replication":"https://pith.science/pith/37ID4PDIVPDSLFC3GSS3SUNODG/action/replication_record"}},"created_at":"2026-07-05T02:12:27.627393+00:00","updated_at":"2026-07-05T02:12:27.627393+00:00"}