{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:7VADWPWPTLUVD56O5TA5WV4HI5","short_pith_number":"pith:7VADWPWP","canonical_record":{"source":{"id":"1802.01430","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-02-05T14:47:20Z","cross_cats_sorted":[],"title_canon_sha256":"c1a5d9892ed73df8c26755d2ea8b60cc33c39042763f49f5fd0374484f4b8dcb","abstract_canon_sha256":"b795a935fcff782eccba4c6dd6fe234fc07e5b0b5602697b59f568c4a282b386"},"schema_version":"1.0"},"canonical_sha256":"fd403b3ecf9ae951f7ceecc1db578747651cf0e300b508554f04a5301c8a0c35","source":{"kind":"arxiv","id":"1802.01430","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01430","created_at":"2026-05-17T23:59:09Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01430v3","created_at":"2026-05-17T23:59:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01430","created_at":"2026-05-17T23:59:09Z"},{"alias_kind":"pith_short_12","alias_value":"7VADWPWPTLUV","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7VADWPWPTLUVD56O","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7VADWPWP","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:7VADWPWPTLUVD56O5TA5WV4HI5","target":"record","payload":{"canonical_record":{"source":{"id":"1802.01430","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-02-05T14:47:20Z","cross_cats_sorted":[],"title_canon_sha256":"c1a5d9892ed73df8c26755d2ea8b60cc33c39042763f49f5fd0374484f4b8dcb","abstract_canon_sha256":"b795a935fcff782eccba4c6dd6fe234fc07e5b0b5602697b59f568c4a282b386"},"schema_version":"1.0"},"canonical_sha256":"fd403b3ecf9ae951f7ceecc1db578747651cf0e300b508554f04a5301c8a0c35","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:09.772180Z","signature_b64":"huEfv8F0pIiRuCarW2C0fh8qFvhscolryvCbx8suZTlUJi9BXy7UEcl09H/+tphHbYvywIZXbyzvGkd9YyW9Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd403b3ecf9ae951f7ceecc1db578747651cf0e300b508554f04a5301c8a0c35","last_reissued_at":"2026-05-17T23:59:09.771794Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:09.771794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.01430","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J5ZYS63NkcL2ZJGNeOY3i9iD7JkWyssWmBfr2JPOOgoMX3LvLz/WVmX2uXIrNyAJpZHWHsc52aZo+7dGNjMhCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:30:21.530204Z"},"content_sha256":"a921a70452af19d711d4ec6addb8a02b328ff092c19d791538ba5872b7a41bdf","schema_version":"1.0","event_id":"sha256:a921a70452af19d711d4ec6addb8a02b328ff092c19d791538ba5872b7a41bdf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:7VADWPWPTLUVD56O5TA5WV4HI5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear optical response of doped mono- and bilayer graphene: length gauge tight-binding model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Alireza Taghizadeh, F. Hipolito, T. G. Pedersen","submitted_at":"2018-02-05T14:47:20Z","abstract_excerpt":"We compute the nonlinear optical response of doped mono- and bilayer graphene using the full dispersion based on tight-binding models. The response is derived with the density matrix formalism using the length gauge and is valid for any periodic system, with arbitrary doping. By collecting terms that define effective nonlinear response tensors, we identify all nonlinear Drude-like terms (up to third-order) and show that all additional spurious divergences present in the induced current vanish. The nonlinear response of graphene comprises a large Drude-like divergence and three resonances that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01430","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8KoqyZDJmFL1e9A8UVPHiYHiXgp6KphWe57BaowKTvjShpmQWYmPZV/3PmdHvnm4DDQB3ln+fR9ez8lrNoauDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T12:30:21.530743Z"},"content_sha256":"a251fe19b7350194921b95127c3a1f52733a3d2b6c980a68cb49b6b5f27a8cb1","schema_version":"1.0","event_id":"sha256:a251fe19b7350194921b95127c3a1f52733a3d2b6c980a68cb49b6b5f27a8cb1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7VADWPWPTLUVD56O5TA5WV4HI5/bundle.json","state_url":"https://pith.science/pith/7VADWPWPTLUVD56O5TA5WV4HI5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7VADWPWPTLUVD56O5TA5WV4HI5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T12:30:21Z","links":{"resolver":"https://pith.science/pith/7VADWPWPTLUVD56O5TA5WV4HI5","bundle":"https://pith.science/pith/7VADWPWPTLUVD56O5TA5WV4HI5/bundle.json","state":"https://pith.science/pith/7VADWPWPTLUVD56O5TA5WV4HI5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7VADWPWPTLUVD56O5TA5WV4HI5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7VADWPWPTLUVD56O5TA5WV4HI5","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":"b795a935fcff782eccba4c6dd6fe234fc07e5b0b5602697b59f568c4a282b386","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-02-05T14:47:20Z","title_canon_sha256":"c1a5d9892ed73df8c26755d2ea8b60cc33c39042763f49f5fd0374484f4b8dcb"},"schema_version":"1.0","source":{"id":"1802.01430","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01430","created_at":"2026-05-17T23:59:09Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01430v3","created_at":"2026-05-17T23:59:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01430","created_at":"2026-05-17T23:59:09Z"},{"alias_kind":"pith_short_12","alias_value":"7VADWPWPTLUV","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7VADWPWPTLUVD56O","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7VADWPWP","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:a251fe19b7350194921b95127c3a1f52733a3d2b6c980a68cb49b6b5f27a8cb1","target":"graph","created_at":"2026-05-17T23:59:09Z","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 compute the nonlinear optical response of doped mono- and bilayer graphene using the full dispersion based on tight-binding models. The response is derived with the density matrix formalism using the length gauge and is valid for any periodic system, with arbitrary doping. By collecting terms that define effective nonlinear response tensors, we identify all nonlinear Drude-like terms (up to third-order) and show that all additional spurious divergences present in the induced current vanish. The nonlinear response of graphene comprises a large Drude-like divergence and three resonances that ","authors_text":"Alireza Taghizadeh, F. Hipolito, T. G. Pedersen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-02-05T14:47:20Z","title":"Nonlinear optical response of doped mono- and bilayer graphene: length gauge tight-binding model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01430","kind":"arxiv","version":3},"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:a921a70452af19d711d4ec6addb8a02b328ff092c19d791538ba5872b7a41bdf","target":"record","created_at":"2026-05-17T23:59:09Z","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":"b795a935fcff782eccba4c6dd6fe234fc07e5b0b5602697b59f568c4a282b386","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-02-05T14:47:20Z","title_canon_sha256":"c1a5d9892ed73df8c26755d2ea8b60cc33c39042763f49f5fd0374484f4b8dcb"},"schema_version":"1.0","source":{"id":"1802.01430","kind":"arxiv","version":3}},"canonical_sha256":"fd403b3ecf9ae951f7ceecc1db578747651cf0e300b508554f04a5301c8a0c35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd403b3ecf9ae951f7ceecc1db578747651cf0e300b508554f04a5301c8a0c35","first_computed_at":"2026-05-17T23:59:09.771794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:09.771794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"huEfv8F0pIiRuCarW2C0fh8qFvhscolryvCbx8suZTlUJi9BXy7UEcl09H/+tphHbYvywIZXbyzvGkd9YyW9Bg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:09.772180Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.01430","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a921a70452af19d711d4ec6addb8a02b328ff092c19d791538ba5872b7a41bdf","sha256:a251fe19b7350194921b95127c3a1f52733a3d2b6c980a68cb49b6b5f27a8cb1"],"state_sha256":"4c0230cfdcd81d29de8976d7c2fd60ae983038586cc29e850d5154bb70bdd939"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xsnR/8RaUvli6Xg0TzpXHzSvqK0ajjQQ5pjL+BRdnTqiVS5l3xbxgHMEWoHhYMMJ3HSB9AT/rfGgQico1wmEDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T12:30:21.532965Z","bundle_sha256":"34fce00cf8cef30b06aa834113e8c395a2da93cc7df42dcb0d33d0848a858baa"}}