{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:M4IX4AAQCFQVNZEK4NN5QNLNH5","short_pith_number":"pith:M4IX4AAQ","schema_version":"1.0","canonical_sha256":"67117e0010116156e48ae35bd8356d3f6befc912ae31a7727770a0164b37403b","source":{"kind":"arxiv","id":"2605.15716","version":1},"attestation_state":"computed","paper":{"title":"Nonlocal Optical Response and Surface Susceptibilities: A Systematic Derivation via Spatial Moment Expansion","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Nonlocal optical response at curved interfaces condenses into a single surface susceptibility scalar at leading order.","cross_cats":["cond-mat.mes-hall","math-ph","math.MP"],"primary_cat":"physics.optics","authors_text":"Fr\\'ed\\'eric Zolla","submitted_at":"2026-05-15T08:07:32Z","abstract_excerpt":"We present a systematic theory connecting the nonlocal response kernel of a homogeneous medium to its effective surface susceptibilities for an arbitrary curved interface. Starting from the most general tensorial nonlocal constitutive relation and combining a spatial moment expansion with a distributional thin-layer limit, we show that the full complexity of the interfacial response condenses, at leading order, into a single scalar: the surface susceptibility $\\chi^s$, equal for the tangential and normal components of the electric field. These quantities provide a constructive generalization o"},"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":true,"formal_links_present":true},"canonical_record":{"source":{"id":"2605.15716","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2026-05-15T08:07:32Z","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"title_canon_sha256":"185bea2800b00c51885fdf8c7859f659975b8d5ee70a9f1aaed8d49fb8fde11b","abstract_canon_sha256":"cdcd4e3704537518b477bd95f084e53394106bc85e8c59dc11521c02b76a1bad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:01:14.374044Z","signature_b64":"PTrwQOKsYi9CDMNV0ZEaoQtIsvQSyEEte1FXa6UOqL/j7QvX3kRV5X1CGDwCsE3sOUyc+72WfIurypazI1tIBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67117e0010116156e48ae35bd8356d3f6befc912ae31a7727770a0164b37403b","last_reissued_at":"2026-05-20T00:01:14.373204Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:01:14.373204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlocal Optical Response and Surface Susceptibilities: A Systematic Derivation via Spatial Moment Expansion","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Nonlocal optical response at curved interfaces condenses into a single surface susceptibility scalar at leading order.","cross_cats":["cond-mat.mes-hall","math-ph","math.MP"],"primary_cat":"physics.optics","authors_text":"Fr\\'ed\\'eric Zolla","submitted_at":"2026-05-15T08:07:32Z","abstract_excerpt":"We present a systematic theory connecting the nonlocal response kernel of a homogeneous medium to its effective surface susceptibilities for an arbitrary curved interface. Starting from the most general tensorial nonlocal constitutive relation and combining a spatial moment expansion with a distributional thin-layer limit, we show that the full complexity of the interfacial response condenses, at leading order, into a single scalar: the surface susceptibility $\\chi^s$, equal for the tangential and normal components of the electric field. These quantities provide a constructive generalization o"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Starting from the most general tensorial nonlocal constitutive relation and combining a spatial moment expansion with a distributional thin-layer limit, we show that the full complexity of the interfacial response condenses, at leading order, into a single scalar: the surface susceptibility χ^s, equal for the tangential and normal components of the electric field. These quantities provide a constructive generalization of the Feibelman d-parameters to interfaces of arbitrary curvature, and the curvature corrections, proportional to the geometric invariants H (mean curvature) and K (Gaussian curvature), are derived explicitly.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The distributional thin-layer limit applied after the spatial moment expansion is sufficient to capture the leading-order interfacial response, with higher-order contributions negligible for the condensation to a single scalar χ^s and the explicit curvature corrections.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Nonlocal response kernels for homogeneous media condense at leading order into a single scalar surface susceptibility χ^s (equal for tangential and normal fields) with explicit curvature corrections proportional to mean curvature H and Gaussian curvature K.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Nonlocal optical response at curved interfaces condenses into a single surface susceptibility scalar at leading order.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"814e4406c392152285736c8d1c5ffdf675fc661ca3a3831303a487979e6ebc9f"},"source":{"id":"2605.15716","kind":"arxiv","version":1},"verdict":{"id":"278ac7c0-7c5d-49d7-859d-1c15e70a01a4","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T19:33:20.783539Z","strongest_claim":"Starting from the most general tensorial nonlocal constitutive relation and combining a spatial moment expansion with a distributional thin-layer limit, we show that the full complexity of the interfacial response condenses, at leading order, into a single scalar: the surface susceptibility χ^s, equal for the tangential and normal components of the electric field. These quantities provide a constructive generalization of the Feibelman d-parameters to interfaces of arbitrary curvature, and the curvature corrections, proportional to the geometric invariants H (mean curvature) and K (Gaussian curvature), are derived explicitly.","one_line_summary":"Nonlocal response kernels for homogeneous media condense at leading order into a single scalar surface susceptibility χ^s (equal for tangential and normal fields) with explicit curvature corrections proportional to mean curvature H and Gaussian curvature K.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The distributional thin-layer limit applied after the spatial moment expansion is sufficient to capture the leading-order interfacial response, with higher-order contributions negligible for the condensation to a single scalar χ^s and the explicit curvature corrections.","pith_extraction_headline":"Nonlocal optical response at curved interfaces condenses into a single surface susceptibility scalar at leading order."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.15716/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-19T20:01:19.210968Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T19:41:02.770091Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T19:33:26.970610Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T17:21:56.013961Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"b7eb2e07a34edb9a8f2a256b9d9f8b9aefbdb4892442bd4b954ae1bee38f83f2"},"references":{"count":2,"sample":[{"doi":"10.1017/cbo9781139644181","year":1999,"title":"Electronic excitations: density-functional versus many-body green’s-function approaches","work_id":"ea3da009-30ec-4a7f-91d5-117c64548e74","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1007/978-3-0348-7966-8","year":2004,"title":"On the vibrations of the electronic plasma","work_id":"5f845525-2449-4f92-ac78-a7dca49daaac","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":2,"snapshot_sha256":"0b0c046901db4ddb9a892c7fe7169dc11754d76b6601f6893573b6cdbc93f1bc","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"edea9e5ff7af4670c0f4472c7a60bf3da09c31f47043e583f1b17fbfd4dbc80a"},"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":"2605.15716","created_at":"2026-05-20T00:01:14.373364+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.15716v1","created_at":"2026-05-20T00:01:14.373364+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.15716","created_at":"2026-05-20T00:01:14.373364+00:00"},{"alias_kind":"pith_short_12","alias_value":"M4IX4AAQCFQV","created_at":"2026-05-20T00:01:14.373364+00:00"},{"alias_kind":"pith_short_16","alias_value":"M4IX4AAQCFQVNZEK","created_at":"2026-05-20T00:01:14.373364+00:00"},{"alias_kind":"pith_short_8","alias_value":"M4IX4AAQ","created_at":"2026-05-20T00:01:14.373364+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":2,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5","json":"https://pith.science/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5.json","graph_json":"https://pith.science/api/pith-number/M4IX4AAQCFQVNZEK4NN5QNLNH5/graph.json","events_json":"https://pith.science/api/pith-number/M4IX4AAQCFQVNZEK4NN5QNLNH5/events.json","paper":"https://pith.science/paper/M4IX4AAQ"},"agent_actions":{"view_html":"https://pith.science/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5","download_json":"https://pith.science/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5.json","view_paper":"https://pith.science/paper/M4IX4AAQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.15716&json=true","fetch_graph":"https://pith.science/api/pith-number/M4IX4AAQCFQVNZEK4NN5QNLNH5/graph.json","fetch_events":"https://pith.science/api/pith-number/M4IX4AAQCFQVNZEK4NN5QNLNH5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5/action/storage_attestation","attest_author":"https://pith.science/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5/action/author_attestation","sign_citation":"https://pith.science/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5/action/citation_signature","submit_replication":"https://pith.science/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5/action/replication_record"}},"created_at":"2026-05-20T00:01:14.373364+00:00","updated_at":"2026-05-20T00:01:14.373364+00:00"}