{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:34VDZF3VPSIH32YRHABHYASOGW","short_pith_number":"pith:34VDZF3V","schema_version":"1.0","canonical_sha256":"df2a3c97757c907deb1138027c024e359649db9b53a0cb5de7b790a80af60fcc","source":{"kind":"arxiv","id":"1711.02632","version":1},"attestation_state":"computed","paper":{"title":"Exact States in Waveguides With Periodically Modulated Nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","physics.optics"],"primary_cat":"nlin.PS","authors_text":"B. A. Malomed, E. Ding, H. N. Chan, K. Nakkeeran, K. W. Chow","submitted_at":"2017-11-07T17:52:10Z","abstract_excerpt":"We introduce a one-dimensional model based on the nonlinear Schrodinger/Gross-Pitaevskii equation where the local nonlinearity is subject to spatially periodic modulation in terms of the Jacobi dn function, with three free parameters including the period, amplitude, and internal form-factor. An exact periodic solution is found for each set of parameters and, which is more important for physical realizations, we solve the inverse problem and predict the period and amplitude of the modulation that yields a particular exact spatially periodic state. Numerical stability analysis demonstrates that "},"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":"1711.02632","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-11-07T17:52:10Z","cross_cats_sorted":["cond-mat.quant-gas","physics.optics"],"title_canon_sha256":"4945c587d54a648d97d2522dd79c561ec3fcb49c77924cd7a019e93f952d80b1","abstract_canon_sha256":"07c3c64bc8717247002dc8411bc091130f6f81f56e3c0c77efd887ed5c8a0a7b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:51.835564Z","signature_b64":"SnruwijnjGT4qU7lgnw7KrNEFpJGXyJCf7ZwchigwUcQVc4/tBy4HHI2/YjOgeewKZWVvrSFnEKHC8eSY1DBDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df2a3c97757c907deb1138027c024e359649db9b53a0cb5de7b790a80af60fcc","last_reissued_at":"2026-05-18T00:25:51.834897Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:51.834897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact States in Waveguides With Periodically Modulated Nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","physics.optics"],"primary_cat":"nlin.PS","authors_text":"B. A. Malomed, E. Ding, H. N. Chan, K. Nakkeeran, K. W. Chow","submitted_at":"2017-11-07T17:52:10Z","abstract_excerpt":"We introduce a one-dimensional model based on the nonlinear Schrodinger/Gross-Pitaevskii equation where the local nonlinearity is subject to spatially periodic modulation in terms of the Jacobi dn function, with three free parameters including the period, amplitude, and internal form-factor. An exact periodic solution is found for each set of parameters and, which is more important for physical realizations, we solve the inverse problem and predict the period and amplitude of the modulation that yields a particular exact spatially periodic state. Numerical stability analysis demonstrates that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.02632","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":"1711.02632","created_at":"2026-05-18T00:25:51.835018+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.02632v1","created_at":"2026-05-18T00:25:51.835018+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.02632","created_at":"2026-05-18T00:25:51.835018+00:00"},{"alias_kind":"pith_short_12","alias_value":"34VDZF3VPSIH","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"34VDZF3VPSIH32YR","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"34VDZF3V","created_at":"2026-05-18T12:30:58.224056+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/34VDZF3VPSIH32YRHABHYASOGW","json":"https://pith.science/pith/34VDZF3VPSIH32YRHABHYASOGW.json","graph_json":"https://pith.science/api/pith-number/34VDZF3VPSIH32YRHABHYASOGW/graph.json","events_json":"https://pith.science/api/pith-number/34VDZF3VPSIH32YRHABHYASOGW/events.json","paper":"https://pith.science/paper/34VDZF3V"},"agent_actions":{"view_html":"https://pith.science/pith/34VDZF3VPSIH32YRHABHYASOGW","download_json":"https://pith.science/pith/34VDZF3VPSIH32YRHABHYASOGW.json","view_paper":"https://pith.science/paper/34VDZF3V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.02632&json=true","fetch_graph":"https://pith.science/api/pith-number/34VDZF3VPSIH32YRHABHYASOGW/graph.json","fetch_events":"https://pith.science/api/pith-number/34VDZF3VPSIH32YRHABHYASOGW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/34VDZF3VPSIH32YRHABHYASOGW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/34VDZF3VPSIH32YRHABHYASOGW/action/storage_attestation","attest_author":"https://pith.science/pith/34VDZF3VPSIH32YRHABHYASOGW/action/author_attestation","sign_citation":"https://pith.science/pith/34VDZF3VPSIH32YRHABHYASOGW/action/citation_signature","submit_replication":"https://pith.science/pith/34VDZF3VPSIH32YRHABHYASOGW/action/replication_record"}},"created_at":"2026-05-18T00:25:51.835018+00:00","updated_at":"2026-05-18T00:25:51.835018+00:00"}