{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:37ID4PDIVPDSLFC3GSS3SUNODG","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":"0ff1a597892c1319c1fdf38bc049230a131154adce51b88eeac72dce55c67dae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2018-10-08T22:40:30Z","title_canon_sha256":"03094c82cc9e2c6501c88d0f57a8a38814a4edfcbeba3c80eef6ed75176687af"},"schema_version":"1.0","source":{"id":"1810.03732","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.03732","created_at":"2026-07-05T02:12:27Z"},{"alias_kind":"arxiv_version","alias_value":"1810.03732v4","created_at":"2026-07-05T02:12:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.03732","created_at":"2026-07-05T02:12:27Z"},{"alias_kind":"pith_short_12","alias_value":"37ID4PDIVPDS","created_at":"2026-07-05T02:12:27Z"},{"alias_kind":"pith_short_16","alias_value":"37ID4PDIVPDSLFC3","created_at":"2026-07-05T02:12:27Z"},{"alias_kind":"pith_short_8","alias_value":"37ID4PDI","created_at":"2026-07-05T02:12:27Z"}],"graph_snapshots":[{"event_id":"sha256:2269fee758882bf0531ec5290ed475f6345fb48f58f83c31612def724057e46f","target":"graph","created_at":"2026-07-05T02:12:27Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1810.03732/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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.","authors_text":"J. M. V. P. Lopes, S. M. Jo\\~ao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2018-10-08T22:40:30Z","title":"Basis-Independent Spectral Methods for Non-linear Optical Response in Arbitrary Tight-binding Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.03732","kind":"arxiv","version":4},"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":"sha256:4b441b205d9e9732308418d5458edacdb8f5d25e4587c6f6ac2932a1098b45c3","target":"record","created_at":"2026-07-05T02:12:27Z","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":"0ff1a597892c1319c1fdf38bc049230a131154adce51b88eeac72dce55c67dae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2018-10-08T22:40:30Z","title_canon_sha256":"03094c82cc9e2c6501c88d0f57a8a38814a4edfcbeba3c80eef6ed75176687af"},"schema_version":"1.0","source":{"id":"1810.03732","kind":"arxiv","version":4}},"canonical_sha256":"dfd03e3c68abc725945b34a5b951ae19a106d3924c44bc5d32084e559086737e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dfd03e3c68abc725945b34a5b951ae19a106d3924c44bc5d32084e559086737e","first_computed_at":"2026-07-05T02:12:27.627338Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:12:27.627338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g72N6La2HppFpCiLlPchHdmjPeyY7hh8eV8SuMupDiazbBKTaySuJOXUwrmS31pjbFUqBnocrxUw2fj1agRgAw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:12:27.627795Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.03732","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b441b205d9e9732308418d5458edacdb8f5d25e4587c6f6ac2932a1098b45c3","sha256:2269fee758882bf0531ec5290ed475f6345fb48f58f83c31612def724057e46f"],"state_sha256":"58f4c9f2431774e6dce6dcf039395153b5279002fcf0790f4f4ce2b8fadee6dd"}