{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:PY7SS373OCYWWQIKZCFTCWU7J5","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":"095b63c4e9ab920f371ee8ceecd709b5e12a7ac6c1b70709699bc694b88063d4","cross_cats_sorted":["cond-mat.mes-hall"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2007-11-13T04:27:14Z","title_canon_sha256":"ad046f84320cac0a9c2b765e46562992f5ecff0117bb4d96c88f3b15d96b1644"},"schema_version":"1.0","source":{"id":"0711.1915","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.1915","created_at":"2026-05-18T03:55:47Z"},{"alias_kind":"arxiv_version","alias_value":"0711.1915v1","created_at":"2026-05-18T03:55:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.1915","created_at":"2026-05-18T03:55:47Z"},{"alias_kind":"pith_short_12","alias_value":"PY7SS373OCYW","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"PY7SS373OCYWWQIK","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"PY7SS373","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:8fb0f1a8e444570ff9018e290090c3a1ebf59a9d4253e47d8388761076bd3e7c","target":"graph","created_at":"2026-05-18T03:55:47Z","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 analyze the signum-generation method for creating random dichotomic sequences with prescribed correlation properties. The method is based on a binary mapping of the convolution of continuous random numbers with some function originated from the Fourier transform of a binary correlator. The goal of our study is to reveal conditions under which one can construct binary sequences with a given pair correlator. Our results can be used in the construction of superlattices and waveguides with selective transport properties.","authors_text":"F.M.Izrailev, N.M.Makarov, O.V.Usatenko, S.S.Apostolov, S.S.Melnyk, Z.A.Mayzelis","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2007-11-13T04:27:14Z","title":"Signum Function Method for Generation of Correlated Dichotomic Chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.1915","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:ef03507bd23f4ee5286df8016ae33eec7920423b8675e543fb6cd0586218eed8","target":"record","created_at":"2026-05-18T03:55:47Z","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":"095b63c4e9ab920f371ee8ceecd709b5e12a7ac6c1b70709699bc694b88063d4","cross_cats_sorted":["cond-mat.mes-hall"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2007-11-13T04:27:14Z","title_canon_sha256":"ad046f84320cac0a9c2b765e46562992f5ecff0117bb4d96c88f3b15d96b1644"},"schema_version":"1.0","source":{"id":"0711.1915","kind":"arxiv","version":1}},"canonical_sha256":"7e3f296ffb70b16b410ac88b315a9f4f556fc8a77d084eb6f0141b48542a4d67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e3f296ffb70b16b410ac88b315a9f4f556fc8a77d084eb6f0141b48542a4d67","first_computed_at":"2026-05-18T03:55:47.421561Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:47.421561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"twewpq1ooIZ5SccjB0Bk85ZEH0/e3euiI39oxjoQj1BTyG/asKNKCRFHHrhtQ6PgKXoNzYtG+YLQD6jmZWzhBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:47.422157Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.1915","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef03507bd23f4ee5286df8016ae33eec7920423b8675e543fb6cd0586218eed8","sha256:8fb0f1a8e444570ff9018e290090c3a1ebf59a9d4253e47d8388761076bd3e7c"],"state_sha256":"2018b12f9b7451a574e784582058bed18ce6f5e46533a413a7c934ee6c4ab837"}