{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3EGJSXJO5NZ53XB4ARJBDNIH7E","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":"496308f69f5274775fa96b189664b60c45715ae10a0632d9559c5abc8cfd1e43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-04-01T13:56:19Z","title_canon_sha256":"3c450fa1cdaa0916877704291f49295a6922407639de1c7a4ce721802e3007ed"},"schema_version":"1.0","source":{"id":"1004.0135","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.0135","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"arxiv_version","alias_value":"1004.0135v1","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0135","created_at":"2026-05-18T03:23:48Z"},{"alias_kind":"pith_short_12","alias_value":"3EGJSXJO5NZ5","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3EGJSXJO5NZ53XB4","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3EGJSXJO","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:a5ad9581221cb8dda6ed25467d8100ddf8f82e7c5131c5b08ea50d306945d6db","target":"graph","created_at":"2026-05-18T03:23:48Z","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 introduce a quantization scheme that can be applied to surface waves propagating along a plane interface. An important result is the derivation of the energy of the surface wave for dispersive non-lossy media without invoking any specific model for the dielectric constant. Working in Coulomb's gauge, we use a modal representation of the fields. Each mode can be associated with a quantum harmonic oscillator. We have applied the formalism to derive quantum-mechanically the spontaneous emission rate of surface plasmon by a two-level system. The result is in very good agreement with Green's ten","authors_text":"Alexandre Archambault, Christophe Arnold, Fran\\c{c}ois Marquier, Jean-Jacques Greffet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-04-01T13:56:19Z","title":"Quantum theory of spontaneous and stimulated emission of surface plasmons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.0135","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:b1c3f62811930b05b2c75361f3058caf9b7256082f85b441cae9e3d114cf4f3b","target":"record","created_at":"2026-05-18T03:23:48Z","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":"496308f69f5274775fa96b189664b60c45715ae10a0632d9559c5abc8cfd1e43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-04-01T13:56:19Z","title_canon_sha256":"3c450fa1cdaa0916877704291f49295a6922407639de1c7a4ce721802e3007ed"},"schema_version":"1.0","source":{"id":"1004.0135","kind":"arxiv","version":1}},"canonical_sha256":"d90c995d2eeb73dddc3c045211b507f90071c87f213c0ffc25b0c2e3bd8e05ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d90c995d2eeb73dddc3c045211b507f90071c87f213c0ffc25b0c2e3bd8e05ce","first_computed_at":"2026-05-18T03:23:48.938179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:48.938179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nRbeOOtbsq2zQRqS+Eepj6POjOfVYZfuhg/Eq3I3Xqlq/XB6veKmnkKootq4/7feSwh20Ew1oGeVD42DoiafAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:48.938796Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.0135","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1c3f62811930b05b2c75361f3058caf9b7256082f85b441cae9e3d114cf4f3b","sha256:a5ad9581221cb8dda6ed25467d8100ddf8f82e7c5131c5b08ea50d306945d6db"],"state_sha256":"0e63760ec2a148ae184c49000d38c338adb2b3e0feac3338f27f40c18e2a82b6"}