{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZESGPQ57CFYGV32A5JDN36R7UF","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":"13a86a12a8d54cce00bc7a7b763ed65355860077bdf30c8ceb1ae1b6b9cdc089","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-07-26T18:02:01Z","title_canon_sha256":"e5b8a89b4b578fb8826316ee30e5ea29ce27b4cd8d0489e7248be79ff0b07385"},"schema_version":"1.0","source":{"id":"1707.08589","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.08589","created_at":"2026-05-18T00:30:01Z"},{"alias_kind":"arxiv_version","alias_value":"1707.08589v1","created_at":"2026-05-18T00:30:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.08589","created_at":"2026-05-18T00:30:01Z"},{"alias_kind":"pith_short_12","alias_value":"ZESGPQ57CFYG","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZESGPQ57CFYGV32A","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZESGPQ57","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:3f3ec248c0a487fb978839714d106256c5f57c7bc8cfe263c4578e4496957600","target":"graph","created_at":"2026-05-18T00:30:01Z","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":"Polarization-division multiplexed (PDM) transmission based on the nonlinear Fourier transform (NFT) is proposed for optical fiber communication. The NFT algorithms are generalized from the scalar nonlinear Schr\\\"odinger equation for one polarization to the Manakov system for two polarizations. The transmission performance of the PDM nonlinear frequency-division multiplexing (NFDM) and PDM orthogonal frequency-division multiplexing (OFDM) are determined. It is shown that the transmission performance in terms of Q-factor is approximately the same in PDM-NFDM and single polarization NFDM at twice","authors_text":"Hartmut Hafermann, Jan-Willem Goossens, Mansoor I. Yousefi, Yves Jaou\\\"en","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-07-26T18:02:01Z","title":"Polarization-Division Multiplexing Based on the Nonlinear Fourier Transform"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.08589","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:a0dda8bee8e3d11d42e8b917143b8317fb4a6b91e70d33cb5a48c3b09b66e128","target":"record","created_at":"2026-05-18T00:30:01Z","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":"13a86a12a8d54cce00bc7a7b763ed65355860077bdf30c8ceb1ae1b6b9cdc089","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-07-26T18:02:01Z","title_canon_sha256":"e5b8a89b4b578fb8826316ee30e5ea29ce27b4cd8d0489e7248be79ff0b07385"},"schema_version":"1.0","source":{"id":"1707.08589","kind":"arxiv","version":1}},"canonical_sha256":"c92467c3bf11706aef40ea46ddfa3fa14071dbc72e79ba25abcefe8f79db481a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c92467c3bf11706aef40ea46ddfa3fa14071dbc72e79ba25abcefe8f79db481a","first_computed_at":"2026-05-18T00:30:01.058845Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:01.058845Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hxdy1SN7SCAYBrCKUc5uinqAa8/liFmxHMxPnoi/fdAQkFeszgzR+3OzsSnKV8shJHN+xukPTIcdsuZZcWKaCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:01.059513Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.08589","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0dda8bee8e3d11d42e8b917143b8317fb4a6b91e70d33cb5a48c3b09b66e128","sha256:3f3ec248c0a487fb978839714d106256c5f57c7bc8cfe263c4578e4496957600"],"state_sha256":"3d0cb15d7464b3b86888464ca70b1218a529e63a21f4869831be86b6b8527f2c"}