{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:UGGOITZYBLUVLGT6FXCWP6JEZD","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":"7c212a0e6e3fec9e9d106022f3a48e72002621ca4b3ef6c5260588bcf827b2ab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-26T06:21:56Z","title_canon_sha256":"46f1010deae3545a0a0f86408cde9545f578fe6520f46fe2c65cf471c868939f"},"schema_version":"1.0","source":{"id":"1710.09556","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.09556","created_at":"2026-05-18T00:31:30Z"},{"alias_kind":"arxiv_version","alias_value":"1710.09556v2","created_at":"2026-05-18T00:31:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.09556","created_at":"2026-05-18T00:31:30Z"},{"alias_kind":"pith_short_12","alias_value":"UGGOITZYBLUV","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"UGGOITZYBLUVLGT6","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"UGGOITZY","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:0372a4d9cc06d78b258f97b8745f1db520d5b8ad1f22051384c957bd2c995101","target":"graph","created_at":"2026-05-18T00:31:30Z","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 construct feedback functions of Nonlinear Feedback Shift Registers from those of Linear Feedback Shift Registers using the cross-join pairs method and the Zech logarithms in finite fields. We present a hypothetical algorithm to generate all de Bruijn sequences of a given order.","authors_text":"Janusz Szmidt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-26T06:21:56Z","title":"Nonlinear Feedback Shift Registers and Zech Logarithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.09556","kind":"arxiv","version":2},"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":"sha256:6e9e6f88f8e910e35cf3bc848bf348daad6677e7aadfd56001eee15bef9f0651","target":"record","created_at":"2026-05-18T00:31:30Z","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":"7c212a0e6e3fec9e9d106022f3a48e72002621ca4b3ef6c5260588bcf827b2ab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-26T06:21:56Z","title_canon_sha256":"46f1010deae3545a0a0f86408cde9545f578fe6520f46fe2c65cf471c868939f"},"schema_version":"1.0","source":{"id":"1710.09556","kind":"arxiv","version":2}},"canonical_sha256":"a18ce44f380ae9559a7e2dc567f924c8f55aa15d91dba4a0a0309e0ff7dd6ef1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a18ce44f380ae9559a7e2dc567f924c8f55aa15d91dba4a0a0309e0ff7dd6ef1","first_computed_at":"2026-05-18T00:31:30.629104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:30.629104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"erGHcYcA2XzjLUbS2jm+o+zBWUOLhjwLRK5Ck/w4CFycJnYSwgbEZpglLbFLFyrMwiOimgDj6Fg55rzbqWKFAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:30.630022Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.09556","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e9e6f88f8e910e35cf3bc848bf348daad6677e7aadfd56001eee15bef9f0651","sha256:0372a4d9cc06d78b258f97b8745f1db520d5b8ad1f22051384c957bd2c995101"],"state_sha256":"26b056d9ab0ba1edf6f9bf9d002131c748cdbe4f09aedbd1465a5e2866752313"}