{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ESF3TWVDUQPTTX4BOXVILOEEZM","short_pith_number":"pith:ESF3TWVD","schema_version":"1.0","canonical_sha256":"248bb9daa3a41f39df8175ea85b884cb26e8100f5caba2064a360495f6124b1c","source":{"kind":"arxiv","id":"1201.5129","version":1},"attestation_state":"computed","paper":{"title":"Nonlinear Fourier Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Christoph Thiele, Terence Tao","submitted_at":"2012-01-24T21:15:14Z","abstract_excerpt":"The nonlinear Fourier transform discussed in these notes is the map from the potential of a one dimensional discrete Dirac operator to the transmission and reflection coefficients thereof. Emphasis is on this being a nonlinear variant of the classical Fourier series, and on nonlinear analogues of classical analytic facts about Fourier series. These notes are a summary of a series of lectures given in 2003 at the Park City Mathematics Institute."},"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":"1201.5129","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-01-24T21:15:14Z","cross_cats_sorted":[],"title_canon_sha256":"01976c3712b8c68ce585e36674658bd93b8bec453d260fb7d4076d3e02da0ba2","abstract_canon_sha256":"691e7cbfc603b6833a8fd0216166df90a038f6300f90c9ff69282c53a24459c1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:55.531352Z","signature_b64":"DGKmEus+AXUxqDP1ia+qYP6VP2gzbDTFY0Cw6m4+qISbD62wzmyJu49KGsGVDmjMg6ze5wMh9OVrOmdeQdVTBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"248bb9daa3a41f39df8175ea85b884cb26e8100f5caba2064a360495f6124b1c","last_reissued_at":"2026-05-18T04:03:55.530806Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:55.530806Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlinear Fourier Analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Christoph Thiele, Terence Tao","submitted_at":"2012-01-24T21:15:14Z","abstract_excerpt":"The nonlinear Fourier transform discussed in these notes is the map from the potential of a one dimensional discrete Dirac operator to the transmission and reflection coefficients thereof. Emphasis is on this being a nonlinear variant of the classical Fourier series, and on nonlinear analogues of classical analytic facts about Fourier series. These notes are a summary of a series of lectures given in 2003 at the Park City Mathematics Institute."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5129","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":"1201.5129","created_at":"2026-05-18T04:03:55.530891+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.5129v1","created_at":"2026-05-18T04:03:55.530891+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5129","created_at":"2026-05-18T04:03:55.530891+00:00"},{"alias_kind":"pith_short_12","alias_value":"ESF3TWVDUQPT","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"ESF3TWVDUQPTTX4B","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"ESF3TWVD","created_at":"2026-05-18T12:27:04.183437+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/ESF3TWVDUQPTTX4BOXVILOEEZM","json":"https://pith.science/pith/ESF3TWVDUQPTTX4BOXVILOEEZM.json","graph_json":"https://pith.science/api/pith-number/ESF3TWVDUQPTTX4BOXVILOEEZM/graph.json","events_json":"https://pith.science/api/pith-number/ESF3TWVDUQPTTX4BOXVILOEEZM/events.json","paper":"https://pith.science/paper/ESF3TWVD"},"agent_actions":{"view_html":"https://pith.science/pith/ESF3TWVDUQPTTX4BOXVILOEEZM","download_json":"https://pith.science/pith/ESF3TWVDUQPTTX4BOXVILOEEZM.json","view_paper":"https://pith.science/paper/ESF3TWVD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.5129&json=true","fetch_graph":"https://pith.science/api/pith-number/ESF3TWVDUQPTTX4BOXVILOEEZM/graph.json","fetch_events":"https://pith.science/api/pith-number/ESF3TWVDUQPTTX4BOXVILOEEZM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ESF3TWVDUQPTTX4BOXVILOEEZM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ESF3TWVDUQPTTX4BOXVILOEEZM/action/storage_attestation","attest_author":"https://pith.science/pith/ESF3TWVDUQPTTX4BOXVILOEEZM/action/author_attestation","sign_citation":"https://pith.science/pith/ESF3TWVDUQPTTX4BOXVILOEEZM/action/citation_signature","submit_replication":"https://pith.science/pith/ESF3TWVDUQPTTX4BOXVILOEEZM/action/replication_record"}},"created_at":"2026-05-18T04:03:55.530891+00:00","updated_at":"2026-05-18T04:03:55.530891+00:00"}