{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:3IEMGJVM5RUKVLZ5L2BOEAUNH7","short_pith_number":"pith:3IEMGJVM","schema_version":"1.0","canonical_sha256":"da08c326acec68aaaf3d5e82e2028d3ff9db763ed5ee361c71d80b73f2c9a192","source":{"kind":"arxiv","id":"1611.08950","version":2},"attestation_state":"computed","paper":{"title":"A geometrical view of scalar modulation instability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"A. D. S\\'anchez, D. F. Grosz, J. Bonetti, P. I. Fierens, S. M. Hernandez","submitted_at":"2016-11-28T01:06:41Z","abstract_excerpt":"We present a novel approach to the analysis of a full model of scalar modulation instability (MI) by means of a simple geometrical description in the power vs. frequency plane. This formulation allows to relate the shape of the MI gain to any arbitrary dispersion profile of the medium. As a result, we derive a straightforward explanation of the non-trivial dependence of the cutoff power on high-order dispersion and obtain explicitly the power that maximizes the gain. Our approach puts forth a powerful tool to synthesize a desired MI gain with the potential application to a vast number of param"},"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":"1611.08950","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-11-28T01:06:41Z","cross_cats_sorted":[],"title_canon_sha256":"dca5f2b32f0a91fdffc3bd8bf8e9b599a376af3a6c25c42550f9af1d4d554143","abstract_canon_sha256":"3fcf7c3dbcae54443b9e83e13407fa82be1f60e39eb371ffb3ddc871f1d0a5ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:30.750726Z","signature_b64":"pnCkwFCDWvnr8CZ1QjvFj2bxKTMVYjRPNcOLphi+RgZBE8x3GpYr12/rlcOmUXtAcy66PCzsSUQNfRadQ167AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da08c326acec68aaaf3d5e82e2028d3ff9db763ed5ee361c71d80b73f2c9a192","last_reissued_at":"2026-05-18T00:52:30.750255Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:30.750255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A geometrical view of scalar modulation instability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"A. D. S\\'anchez, D. F. Grosz, J. Bonetti, P. I. Fierens, S. M. Hernandez","submitted_at":"2016-11-28T01:06:41Z","abstract_excerpt":"We present a novel approach to the analysis of a full model of scalar modulation instability (MI) by means of a simple geometrical description in the power vs. frequency plane. This formulation allows to relate the shape of the MI gain to any arbitrary dispersion profile of the medium. As a result, we derive a straightforward explanation of the non-trivial dependence of the cutoff power on high-order dispersion and obtain explicitly the power that maximizes the gain. Our approach puts forth a powerful tool to synthesize a desired MI gain with the potential application to a vast number of param"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08950","kind":"arxiv","version":2},"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":"1611.08950","created_at":"2026-05-18T00:52:30.750323+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.08950v2","created_at":"2026-05-18T00:52:30.750323+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08950","created_at":"2026-05-18T00:52:30.750323+00:00"},{"alias_kind":"pith_short_12","alias_value":"3IEMGJVM5RUK","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"3IEMGJVM5RUKVLZ5","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"3IEMGJVM","created_at":"2026-05-18T12:29:55.572404+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/3IEMGJVM5RUKVLZ5L2BOEAUNH7","json":"https://pith.science/pith/3IEMGJVM5RUKVLZ5L2BOEAUNH7.json","graph_json":"https://pith.science/api/pith-number/3IEMGJVM5RUKVLZ5L2BOEAUNH7/graph.json","events_json":"https://pith.science/api/pith-number/3IEMGJVM5RUKVLZ5L2BOEAUNH7/events.json","paper":"https://pith.science/paper/3IEMGJVM"},"agent_actions":{"view_html":"https://pith.science/pith/3IEMGJVM5RUKVLZ5L2BOEAUNH7","download_json":"https://pith.science/pith/3IEMGJVM5RUKVLZ5L2BOEAUNH7.json","view_paper":"https://pith.science/paper/3IEMGJVM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.08950&json=true","fetch_graph":"https://pith.science/api/pith-number/3IEMGJVM5RUKVLZ5L2BOEAUNH7/graph.json","fetch_events":"https://pith.science/api/pith-number/3IEMGJVM5RUKVLZ5L2BOEAUNH7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3IEMGJVM5RUKVLZ5L2BOEAUNH7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3IEMGJVM5RUKVLZ5L2BOEAUNH7/action/storage_attestation","attest_author":"https://pith.science/pith/3IEMGJVM5RUKVLZ5L2BOEAUNH7/action/author_attestation","sign_citation":"https://pith.science/pith/3IEMGJVM5RUKVLZ5L2BOEAUNH7/action/citation_signature","submit_replication":"https://pith.science/pith/3IEMGJVM5RUKVLZ5L2BOEAUNH7/action/replication_record"}},"created_at":"2026-05-18T00:52:30.750323+00:00","updated_at":"2026-05-18T00:52:30.750323+00:00"}