{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BK3B47OLJPJAD3K45GK4MZWI4F","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":"e6df142008a2b601742979c0472e4725984154982fe5ba040184a26b946d0114","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-03-14T00:27:47Z","title_canon_sha256":"e1a9626aaa2471435b7c85f80a383c6da9dff297347204bdd9c28bcb7daca83e"},"schema_version":"1.0","source":{"id":"1604.04587","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04587","created_at":"2026-05-18T00:58:57Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04587v3","created_at":"2026-05-18T00:58:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04587","created_at":"2026-05-18T00:58:57Z"},{"alias_kind":"pith_short_12","alias_value":"BK3B47OLJPJA","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BK3B47OLJPJAD3K4","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BK3B47OL","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:db117c072fac8bd297dba366aa145ac874942ec6057007f16f3ce3e192a6abc6","target":"graph","created_at":"2026-05-18T00:58:57Z","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 analysis of adaptive carrier phase estimation is investigated in long-haul high speed n-level phase shift keying (n-PSK) optical fiber communication systems based on the one-tap normalized least-mean-square (LMS) algorithm. The close-form expressions for the estimated carrier phase and the bit-error-rate floor have been derived in the n-PSK coherent optical transmission systems. The results show that the one-tap normalized LMS algorithm performs pretty well in the carrier phase estimation, but will be less effective with the increment of modulation levels, in the compensation of both intri","authors_text":"Gunnar Jacobsen, Jie Li, Sergei Popov, Tianhua Xu, Tiegen Liu, Yimo Zhang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-03-14T00:27:47Z","title":"Digital Adaptive Carrier Phase Estimation in Multi-Level Phase Shift Keying Coherent Optical Communication Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04587","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":"sha256:83ded29b20783749ceb6230a026439ba41f43a715aeb8e799e418ad37d1eaffb","target":"record","created_at":"2026-05-18T00:58:57Z","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":"e6df142008a2b601742979c0472e4725984154982fe5ba040184a26b946d0114","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-03-14T00:27:47Z","title_canon_sha256":"e1a9626aaa2471435b7c85f80a383c6da9dff297347204bdd9c28bcb7daca83e"},"schema_version":"1.0","source":{"id":"1604.04587","kind":"arxiv","version":3}},"canonical_sha256":"0ab61e7dcb4bd201ed5ce995c666c8e14d4c32d1d981811c2bfa903cf16c78e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ab61e7dcb4bd201ed5ce995c666c8e14d4c32d1d981811c2bfa903cf16c78e6","first_computed_at":"2026-05-18T00:58:57.041690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:57.041690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B5ebjJqy5779EPMQGkajc4zvjAEKFugp2DuUyOmOCV3doPcSWmNg71ItFfO6dMNsiS5OhSJEsUTakZ2Ld8OhBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:57.042194Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.04587","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83ded29b20783749ceb6230a026439ba41f43a715aeb8e799e418ad37d1eaffb","sha256:db117c072fac8bd297dba366aa145ac874942ec6057007f16f3ce3e192a6abc6"],"state_sha256":"bc4be8af0ef752ad725eab06dcf2449103e59b6926c9972d5ee4e07ff03c9b51"}