{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KNGRSGJEDPCD74MSFBRNVQPQ6N","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":"bc2ef6184f46fab2c6b88266d99963173d8532ba167065468a59abe8aaa02d95","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-04-11T02:18:04Z","title_canon_sha256":"ec4b4113b7517691da0a803c0761a09ef1d6878dad122f313e175f04faff3fef"},"schema_version":"1.0","source":{"id":"1904.05499","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.05499","created_at":"2026-05-17T23:48:49Z"},{"alias_kind":"arxiv_version","alias_value":"1904.05499v1","created_at":"2026-05-17T23:48:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.05499","created_at":"2026-05-17T23:48:49Z"},{"alias_kind":"pith_short_12","alias_value":"KNGRSGJEDPCD","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"KNGRSGJEDPCD74MS","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"KNGRSGJE","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:d4e278b91296d1c9b84db5f941ba3fcbd2926f4d2dd156e0bd1553cf72af19ae","target":"graph","created_at":"2026-05-17T23:48:49Z","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":"We determine the 2-adic complexity of the Ding-Helleseth-Martinsen (DHM) binary sequences by using cyclotomic numbers of order four, \"Gauss periods\" and \"quadratic Gauss sum\" on finite field $\\mathbb{F}_q$ and valued in $\\mathbb{Z}_{2^N-1}$ where $q \\equiv 5\\pmod 8$ is a prime number and $N=2q$ is the period of the DHM sequences.","authors_text":"Jun Zhang, Keqin Feng, Lulu Zhang, Minghui Yang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-04-11T02:18:04Z","title":"On the 2-Adic Complexity of the Ding-Helleseth-Martinsen Binary Sequences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.05499","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":"sha256:5c651a0f50960aaa8cffc38465856eea227e689ae2ab8de122d2edf3637f40ca","target":"record","created_at":"2026-05-17T23:48:49Z","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":"bc2ef6184f46fab2c6b88266d99963173d8532ba167065468a59abe8aaa02d95","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-04-11T02:18:04Z","title_canon_sha256":"ec4b4113b7517691da0a803c0761a09ef1d6878dad122f313e175f04faff3fef"},"schema_version":"1.0","source":{"id":"1904.05499","kind":"arxiv","version":1}},"canonical_sha256":"534d1919241bc43ff1922862dac1f0f3605efe94cb3f42593056aaa5e349ac90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"534d1919241bc43ff1922862dac1f0f3605efe94cb3f42593056aaa5e349ac90","first_computed_at":"2026-05-17T23:48:49.322788Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:49.322788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eoBGfu8rg+YQ11vkU1LUBq7+lpbXq8VmJrM7mU0SF/SZ3rdJ+/33OSUvQclw5FF+IPAJBa0pDI5qZNJbGWJ+CQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:49.323492Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.05499","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c651a0f50960aaa8cffc38465856eea227e689ae2ab8de122d2edf3637f40ca","sha256:d4e278b91296d1c9b84db5f941ba3fcbd2926f4d2dd156e0bd1553cf72af19ae"],"state_sha256":"f6564f57ee21b78fc5c4a8eb44b1e94ecf3d2e2065b4e8dba17d3b0c3a07032c"}