{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:JDY6XCJCGUL36Q2J2JOL5CBMUO","short_pith_number":"pith:JDY6XCJC","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"},"canonical_sha256":"48f1eb89223517bf4349d25cbe882ca3a095fee877526383eb77b6193020d8c4","source":{"kind":"arxiv","id":"1011.5845","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.5845","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"arxiv_version","alias_value":"1011.5845v1","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.5845","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"pith_short_12","alias_value":"JDY6XCJCGUL3","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JDY6XCJCGUL36Q2J","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JDY6XCJC","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:JDY6XCJCGUL36Q2J2JOL5CBMUO","target":"record","payload":{"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"},"canonical_sha256":"48f1eb89223517bf4349d25cbe882ca3a095fee877526383eb77b6193020d8c4","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"},"source_kind":"arxiv","source_id":"1011.5845","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:24:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cc4U0ptPfDQlWMUZs7Ah+xYLBx429Hasfqy9f7yz1PRMXGTKzrdM5v5dbbdV7+wr2L4u+m6aynnwoBrqaTsjBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T01:28:42.911471Z"},"content_sha256":"e8d0c2e5b6d37d9cb6c5c74578f4c887b85bdb46b33f61b83aa019235eb6ff77","schema_version":"1.0","event_id":"sha256:e8d0c2e5b6d37d9cb6c5c74578f4c887b85bdb46b33f61b83aa019235eb6ff77"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:JDY6XCJCGUL36Q2J2JOL5CBMUO","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:24:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OmEYLyHCE31bI656/i9bvNvbfYCKEhKQa3Fd+P5wW20mWoBsjkaFni8GzVCTjCaYA5kUL6LoiGNPQuh43Io8Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T01:28:42.912101Z"},"content_sha256":"ec7b4fa27b6890a5658f64e379531ce7b4023b7d56c68b0c89a54f999f270761","schema_version":"1.0","event_id":"sha256:ec7b4fa27b6890a5658f64e379531ce7b4023b7d56c68b0c89a54f999f270761"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO/bundle.json","state_url":"https://pith.science/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T01:28:42Z","links":{"resolver":"https://pith.science/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO","bundle":"https://pith.science/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO/bundle.json","state":"https://pith.science/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JDY6XCJCGUL36Q2J2JOL5CBMUO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JDY6XCJCGUL36Q2J2JOL5CBMUO","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":"9793c8d4e5962904abd353d9f7bc17b9d51c3a904ea0ddf57c5c385878b377f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-11-26T17:38:24Z","title_canon_sha256":"52a44e78aa33d5faba9b65e09e08742568defaa181102ff45c3ac77de9301dc5"},"schema_version":"1.0","source":{"id":"1011.5845","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.5845","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"arxiv_version","alias_value":"1011.5845v1","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.5845","created_at":"2026-05-18T04:24:06Z"},{"alias_kind":"pith_short_12","alias_value":"JDY6XCJCGUL3","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JDY6XCJCGUL36Q2J","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JDY6XCJC","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:ec7b4fa27b6890a5658f64e379531ce7b4023b7d56c68b0c89a54f999f270761","target":"graph","created_at":"2026-05-18T04:24:06Z","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 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","authors_text":"Alejandro W. Rodriguez, David Ramirez, Hila Hashemi, J.D. Joannopoulos, Marin Solja\\v{c}i\\'c, Steven G. Johnson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-11-26T17:38:24Z","title":"Degenerate four-wave mixing in triply-resonant Kerr cavities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.5845","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:e8d0c2e5b6d37d9cb6c5c74578f4c887b85bdb46b33f61b83aa019235eb6ff77","target":"record","created_at":"2026-05-18T04:24:06Z","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":"9793c8d4e5962904abd353d9f7bc17b9d51c3a904ea0ddf57c5c385878b377f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-11-26T17:38:24Z","title_canon_sha256":"52a44e78aa33d5faba9b65e09e08742568defaa181102ff45c3ac77de9301dc5"},"schema_version":"1.0","source":{"id":"1011.5845","kind":"arxiv","version":1}},"canonical_sha256":"48f1eb89223517bf4349d25cbe882ca3a095fee877526383eb77b6193020d8c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48f1eb89223517bf4349d25cbe882ca3a095fee877526383eb77b6193020d8c4","first_computed_at":"2026-05-18T04:24:06.039471Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:06.039471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KpXOZ5X23lqPFUhbbMObwlZw/RfIDMFAHvavRoDvg5mD17K9CWlhJEq5CMTTLh/fmKWPdW0DT7s2sFP6EkEOCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:06.040033Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.5845","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8d0c2e5b6d37d9cb6c5c74578f4c887b85bdb46b33f61b83aa019235eb6ff77","sha256:ec7b4fa27b6890a5658f64e379531ce7b4023b7d56c68b0c89a54f999f270761"],"state_sha256":"451747b76889362b4c866f3af0a6b5a4d04404c74fee8ca3805db35485e97e08"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zEjZKyf4QL956oIWYCu4Hde1MT5p9hKVlRFwiUBCL5peFhk7T28cFkPzjLMr8o9NtZ/w4hdwLtkpFrkgvmC+Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T01:28:42.915447Z","bundle_sha256":"959013b54d61f92c9400c540a160b062a202791649b2613e567fe8187491c910"}}