{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:AKBTQCLED4CIDAJROZUCSAFHXL","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":"26230b48372b90e618da780d749d7105fe66fd3084756797307731b4b1a6bc45","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-08-07T20:01:28Z","title_canon_sha256":"1d15cec53462bb8d3453a71a681a3ca371b18bb4905f6d420f08983b4c96ce72"},"schema_version":"1.0","source":{"id":"1908.02816","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.02816","created_at":"2026-07-04T23:52:23Z"},{"alias_kind":"arxiv_version","alias_value":"1908.02816v1","created_at":"2026-07-04T23:52:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02816","created_at":"2026-07-04T23:52:23Z"},{"alias_kind":"pith_short_12","alias_value":"AKBTQCLED4CI","created_at":"2026-07-04T23:52:23Z"},{"alias_kind":"pith_short_16","alias_value":"AKBTQCLED4CIDAJR","created_at":"2026-07-04T23:52:23Z"},{"alias_kind":"pith_short_8","alias_value":"AKBTQCLE","created_at":"2026-07-04T23:52:23Z"}],"graph_snapshots":[{"event_id":"sha256:31acc27ce849829fdc6abb4abc1d4c6160f8e3824291c3fafe367a424054bd92","target":"graph","created_at":"2026-07-04T23:52:23Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.02816/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work considers the design of short non-binary low-density parity-check (LDPC) codes over finite fields of order m, for channels with phase noise. In particular, m-ary differential phase-shift keying (DPSK) modulated code symbols are transmitted over an additive white Gaussian noise (AWGN) channel with Wiener phase noise. At the receiver side, non-coherent detection takes place, with the help of a multi-symbol detection algorithm, followed by a non-binary decoding step. Both the detector and decoder operate on a joint factor graph. As a benchmark, finite length bounds and information rate ","authors_text":"Bal\\'azs Matuz, Gianluigi Liva, Giulio Colavolpe, Tudor Ninacs","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-08-07T20:01:28Z","title":"Short Non-Binary Low-Density Parity-Check Codes for Phase Noise Channels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02816","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":"sha256:9beac75047729081ddc2bd851b63723d5d6005a6cdbac76ff45cc61289618aef","target":"record","created_at":"2026-07-04T23:52:23Z","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":"26230b48372b90e618da780d749d7105fe66fd3084756797307731b4b1a6bc45","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-08-07T20:01:28Z","title_canon_sha256":"1d15cec53462bb8d3453a71a681a3ca371b18bb4905f6d420f08983b4c96ce72"},"schema_version":"1.0","source":{"id":"1908.02816","kind":"arxiv","version":1}},"canonical_sha256":"02833809641f0481813176682900a7bae04130645023e39e832a635a06827c5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02833809641f0481813176682900a7bae04130645023e39e832a635a06827c5b","first_computed_at":"2026-07-04T23:52:23.571380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:52:23.571380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6xoXBzTHeeGJR/9JaiOpsEeiDQjjedgljuAO2lUcQrIatNtF66WialqSIFYyqVPd/dX7NfkAwAAnGtIYRV0RCA==","signature_status":"signed_v1","signed_at":"2026-07-04T23:52:23.571794Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.02816","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9beac75047729081ddc2bd851b63723d5d6005a6cdbac76ff45cc61289618aef","sha256:31acc27ce849829fdc6abb4abc1d4c6160f8e3824291c3fafe367a424054bd92"],"state_sha256":"d74de8fb2bcd2e364525136a7f4308499de346b12f6f0e26958ee5f083e6ad2d"}