{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:JDY6XCJCGUL36Q2J2JOL5CBMUO","short_pith_number":"pith:JDY6XCJC","schema_version":"1.0","canonical_sha256":"48f1eb89223517bf4349d25cbe882ca3a095fee877526383eb77b6193020d8c4","source":{"kind":"arxiv","id":"1011.5845","version":1},"attestation_state":"computed","paper":{"title":"Degenerate four-wave mixing in triply-resonant Kerr cavities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Alejandro W. Rodriguez, David Ramirez, Hila Hashemi, J.D. Joannopoulos, Marin Solja\\v{c}i\\'c, Steven G. Johnson","submitted_at":"2010-11-26T17:38:24Z","abstract_excerpt":"We demonstrate theoretical conditions for highly-efficient degenerate four-wave mixing in triply-resonant nonlinear (Kerr) cavities. We employ a general and accurate temporal coupled-mode analysis in which the interaction of light in arbitrary microcavities is expressed in terms a set of coupling coefficients that we rigorously derive from the full Maxwell equations. Using the coupled-mode theory, we show that light consisting of an input signal of frequency $\\omega_0-\\Delta \\omega$ can, in the presence of pump light at $\\omega_0$, be converted with quantum-limited efficiency into an output sh"},"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":"1011.5845","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-11-26T17:38:24Z","cross_cats_sorted":[],"title_canon_sha256":"52a44e78aa33d5faba9b65e09e08742568defaa181102ff45c3ac77de9301dc5","abstract_canon_sha256":"9793c8d4e5962904abd353d9f7bc17b9d51c3a904ea0ddf57c5c385878b377f7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:06.040033Z","signature_b64":"KpXOZ5X23lqPFUhbbMObwlZw/RfIDMFAHvavRoDvg5mD17K9CWlhJEq5CMTTLh/fmKWPdW0DT7s2sFP6EkEOCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48f1eb89223517bf4349d25cbe882ca3a095fee877526383eb77b6193020d8c4","last_reissued_at":"2026-05-18T04:24:06.039471Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:06.039471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Degenerate four-wave mixing in triply-resonant Kerr cavities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Alejandro W. Rodriguez, David Ramirez, Hila Hashemi, J.D. Joannopoulos, Marin Solja\\v{c}i\\'c, Steven G. Johnson","submitted_at":"2010-11-26T17:38:24Z","abstract_excerpt":"We demonstrate theoretical conditions for highly-efficient degenerate four-wave mixing in triply-resonant nonlinear (Kerr) cavities. We employ a general and accurate temporal coupled-mode analysis in which the interaction of light in arbitrary microcavities is expressed in terms a set of coupling coefficients that we rigorously derive from the full Maxwell equations. Using the coupled-mode theory, we show that light consisting of an input signal of frequency $\\omega_0-\\Delta \\omega$ can, in the presence of pump light at $\\omega_0$, be converted with quantum-limited efficiency into an output sh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.5845","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":"1011.5845","created_at":"2026-05-18T04:24:06.039548+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.5845v1","created_at":"2026-05-18T04:24:06.039548+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.5845","created_at":"2026-05-18T04:24:06.039548+00:00"},{"alias_kind":"pith_short_12","alias_value":"JDY6XCJCGUL3","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"JDY6XCJCGUL36Q2J","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"JDY6XCJC","created_at":"2026-05-18T12:26:09.077623+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/JDY6XCJCGUL36Q2J2JOL5CBMUO","json":"https://pith.science/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO.json","graph_json":"https://pith.science/api/pith-number/JDY6XCJCGUL36Q2J2JOL5CBMUO/graph.json","events_json":"https://pith.science/api/pith-number/JDY6XCJCGUL36Q2J2JOL5CBMUO/events.json","paper":"https://pith.science/paper/JDY6XCJC"},"agent_actions":{"view_html":"https://pith.science/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO","download_json":"https://pith.science/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO.json","view_paper":"https://pith.science/paper/JDY6XCJC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.5845&json=true","fetch_graph":"https://pith.science/api/pith-number/JDY6XCJCGUL36Q2J2JOL5CBMUO/graph.json","fetch_events":"https://pith.science/api/pith-number/JDY6XCJCGUL36Q2J2JOL5CBMUO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO/action/storage_attestation","attest_author":"https://pith.science/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO/action/author_attestation","sign_citation":"https://pith.science/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO/action/citation_signature","submit_replication":"https://pith.science/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO/action/replication_record"}},"created_at":"2026-05-18T04:24:06.039548+00:00","updated_at":"2026-05-18T04:24:06.039548+00:00"}