{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4WIOILAHY56Y6YBT6VTN5NIBXZ","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":"b069a13c9f32bb440b1f393fc227628bb5eacbd724d7d3deea30eeda8635d5c3","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-01-24T04:44:42Z","title_canon_sha256":"ebc1bb3ea42ccffcc38315f228223aaaf2174b38bada94e3dc39d7750cbaeda8"},"schema_version":"1.0","source":{"id":"1701.06729","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06729","created_at":"2026-05-18T00:52:12Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06729v1","created_at":"2026-05-18T00:52:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06729","created_at":"2026-05-18T00:52:12Z"},{"alias_kind":"pith_short_12","alias_value":"4WIOILAHY56Y","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4WIOILAHY56Y6YBT","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4WIOILAH","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:543476a50c950f359b346cd86513202ce523e655ac85229c4877f856b7211b8e","target":"graph","created_at":"2026-05-18T00:52:12Z","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":"In this article we provide a practical prescription to harness the rigorous microscopic, quantum level descriptions of light-matter systems provided by Hopfield diagonalisation for quantum description of nonlinear scattering. A general frame to describe the practically important second-order optical nonlinearities which underpin sum and difference frequency generation is developed for arbitrarily inhomogeneous dielectric environments. Specific attention is then focussed on planar systems with optical nonlinearity mediated by a polar dielectric $\\beta$-SiC halfspace. In this system we calculate","authors_text":"Christopher R. Gubbin, Simone De Liberato","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-01-24T04:44:42Z","title":"Theory of nonlinear polaritonics: $\\chi^{(2)}$ scattering on a $\\beta$-SiC surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06729","kind":"arxiv","version":1},"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":"sha256:185c40229cdaadbfce58c71e5f9e643cc2b11c6a14452dd265318a7ffe681fc9","target":"record","created_at":"2026-05-18T00:52:12Z","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":"b069a13c9f32bb440b1f393fc227628bb5eacbd724d7d3deea30eeda8635d5c3","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-01-24T04:44:42Z","title_canon_sha256":"ebc1bb3ea42ccffcc38315f228223aaaf2174b38bada94e3dc39d7750cbaeda8"},"schema_version":"1.0","source":{"id":"1701.06729","kind":"arxiv","version":1}},"canonical_sha256":"e590e42c07c77d8f6033f566deb501be78522130b76a26630af997534c41a74f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e590e42c07c77d8f6033f566deb501be78522130b76a26630af997534c41a74f","first_computed_at":"2026-05-18T00:52:12.293415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:12.293415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"djr9IWYG6cfgf+z8sNntsHW/ob+J2n4uFPESQqlClcKVU2ogQGlUKJPogw6Jwya5HKv7WTYQie+e2asA3RY7Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:12.293839Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.06729","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:185c40229cdaadbfce58c71e5f9e643cc2b11c6a14452dd265318a7ffe681fc9","sha256:543476a50c950f359b346cd86513202ce523e655ac85229c4877f856b7211b8e"],"state_sha256":"7872780bcb348720ef2d85521477aa0aa874b0855b637d278197bc0a05ac1bcc"}