{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:TE3VX7BUULYERMG2U4RSCUH4BS","short_pith_number":"pith:TE3VX7BU","schema_version":"1.0","canonical_sha256":"99375bfc34a2f048b0daa7232150fc0c9400dbb20ea885d106fd108af5c2971b","source":{"kind":"arxiv","id":"1610.04854","version":1},"attestation_state":"computed","paper":{"title":"Theory of plasmonic effects in nonlinear optics: the case of graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","physics.optics"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Habib Rostami, Marco Polini, Mikhail I. Katsnelson","submitted_at":"2016-10-16T13:12:48Z","abstract_excerpt":"We develop a microscopic large-$N$ theory of electron-electron interaction corrections to multi-legged Feynman diagrams describing second- and third-order nonlinear response functions. Our theory, which reduces to the well-known random phase approximation in the linear-response limit, is completely general and is useful to understand all second- and third-order nonlinear effects, including harmonic generation, wave mixing, and photon drag. We apply our theoretical framework to the case of graphene, by carrying out microscopic calculations of the second- and third-order nonlinear response funct"},"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":"1610.04854","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2016-10-16T13:12:48Z","cross_cats_sorted":["cond-mat.mes-hall","physics.optics"],"title_canon_sha256":"a220db0470fe7f4babfbe28fd6967e01c25a8a80d57b1b2b01e4741f9ff3eea8","abstract_canon_sha256":"df727d89b7efdadb45274547193cf440a700a2bd80a8552440a8efb08e67621c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:14.458981Z","signature_b64":"KOfECQy3SxhjCpOpX49jNYdqSPP4s22I8Ux7F2aN0Aly5fv4DA5Nqiv3kaSyzvT0HR/hAR5oMuuANbtcihboCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99375bfc34a2f048b0daa7232150fc0c9400dbb20ea885d106fd108af5c2971b","last_reissued_at":"2026-05-18T00:52:14.458444Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:14.458444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theory of plasmonic effects in nonlinear optics: the case of graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","physics.optics"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Habib Rostami, Marco Polini, Mikhail I. Katsnelson","submitted_at":"2016-10-16T13:12:48Z","abstract_excerpt":"We develop a microscopic large-$N$ theory of electron-electron interaction corrections to multi-legged Feynman diagrams describing second- and third-order nonlinear response functions. Our theory, which reduces to the well-known random phase approximation in the linear-response limit, is completely general and is useful to understand all second- and third-order nonlinear effects, including harmonic generation, wave mixing, and photon drag. We apply our theoretical framework to the case of graphene, by carrying out microscopic calculations of the second- and third-order nonlinear response funct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.04854","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":"1610.04854","created_at":"2026-05-18T00:52:14.458512+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.04854v1","created_at":"2026-05-18T00:52:14.458512+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.04854","created_at":"2026-05-18T00:52:14.458512+00:00"},{"alias_kind":"pith_short_12","alias_value":"TE3VX7BUULYE","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"TE3VX7BUULYERMG2","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"TE3VX7BU","created_at":"2026-05-18T12:30:44.179134+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/TE3VX7BUULYERMG2U4RSCUH4BS","json":"https://pith.science/pith/TE3VX7BUULYERMG2U4RSCUH4BS.json","graph_json":"https://pith.science/api/pith-number/TE3VX7BUULYERMG2U4RSCUH4BS/graph.json","events_json":"https://pith.science/api/pith-number/TE3VX7BUULYERMG2U4RSCUH4BS/events.json","paper":"https://pith.science/paper/TE3VX7BU"},"agent_actions":{"view_html":"https://pith.science/pith/TE3VX7BUULYERMG2U4RSCUH4BS","download_json":"https://pith.science/pith/TE3VX7BUULYERMG2U4RSCUH4BS.json","view_paper":"https://pith.science/paper/TE3VX7BU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.04854&json=true","fetch_graph":"https://pith.science/api/pith-number/TE3VX7BUULYERMG2U4RSCUH4BS/graph.json","fetch_events":"https://pith.science/api/pith-number/TE3VX7BUULYERMG2U4RSCUH4BS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TE3VX7BUULYERMG2U4RSCUH4BS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TE3VX7BUULYERMG2U4RSCUH4BS/action/storage_attestation","attest_author":"https://pith.science/pith/TE3VX7BUULYERMG2U4RSCUH4BS/action/author_attestation","sign_citation":"https://pith.science/pith/TE3VX7BUULYERMG2U4RSCUH4BS/action/citation_signature","submit_replication":"https://pith.science/pith/TE3VX7BUULYERMG2U4RSCUH4BS/action/replication_record"}},"created_at":"2026-05-18T00:52:14.458512+00:00","updated_at":"2026-05-18T00:52:14.458512+00:00"}