{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LDGC5CJEVCQCY5FSK3HMUFAZ36","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":"42a49efc50ce25eca862402acad5a9ece27fad5139847a317a45157600f35dcc","cross_cats_sorted":["math.IT","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-05T15:41:40Z","title_canon_sha256":"dc663ff7aa07b575e8f20e0421b17b87791b9db603ec2e2ea1d73e50db35ee0d"},"schema_version":"1.0","source":{"id":"1607.01305","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01305","created_at":"2026-05-18T00:36:41Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01305v3","created_at":"2026-05-18T00:36:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01305","created_at":"2026-05-18T00:36:41Z"},{"alias_kind":"pith_short_12","alias_value":"LDGC5CJEVCQC","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LDGC5CJEVCQCY5FS","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LDGC5CJE","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:8f215c0d4e4a09d803b6d560347d83355fe5e9dd4c15afdf6fddb097d0b51c45","target":"graph","created_at":"2026-05-18T00:36:41Z","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":"The nonlinear Schr\\\"odinger equation (NSE) is well-known to model an ideal fiber-optic communication channel. Even though the NSE is a nonlinear evolution equation, it can be solved analytically using a nonlinear Fourier transform (NFT). Recently, there has been much interest in transceiver concepts that utilize this NFT and its inverse to (de-)modulate data. Fast algorithms for the (inverse) NFT are a key requirement for the simulation and real-time implementation of fiber-optic communication systems based on NFTs. While much progress has already been made for accelerating the forward NFT, le","authors_text":"Sander Wahls, Vishal Vaibhav","cross_cats":["math.IT","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-05T15:41:40Z","title":"Fast Inverse Nonlinear Fourier Transforms for Continuous Spectra of Zakharov-Shabat Type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01305","kind":"arxiv","version":3},"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":"sha256:85bd6d0c5a0c50df6bc672679b6f6709bbfe8f4335f79ef70c662a58ae3cf112","target":"record","created_at":"2026-05-18T00:36:41Z","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":"42a49efc50ce25eca862402acad5a9ece27fad5139847a317a45157600f35dcc","cross_cats_sorted":["math.IT","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-05T15:41:40Z","title_canon_sha256":"dc663ff7aa07b575e8f20e0421b17b87791b9db603ec2e2ea1d73e50db35ee0d"},"schema_version":"1.0","source":{"id":"1607.01305","kind":"arxiv","version":3}},"canonical_sha256":"58cc2e8924a8a02c74b256ceca1419dfa976055cf85e111163bf694f62c45668","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58cc2e8924a8a02c74b256ceca1419dfa976055cf85e111163bf694f62c45668","first_computed_at":"2026-05-18T00:36:41.293100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:41.293100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I33RQC3XtYqycFHnlEXZXWDTSSlAFeEoRQI/ucjcyxNm1Dr1a0ccCQPFpZsdJyPvsnAtOtIMbhWjUluatVs0AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:41.293727Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.01305","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85bd6d0c5a0c50df6bc672679b6f6709bbfe8f4335f79ef70c662a58ae3cf112","sha256:8f215c0d4e4a09d803b6d560347d83355fe5e9dd4c15afdf6fddb097d0b51c45"],"state_sha256":"39141aceff5f5e3921824f070ad849cbae1fc795aac0656bad2ed978359088b1"}