{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:PY7SS373OCYWWQIKZCFTCWU7J5","short_pith_number":"pith:PY7SS373","schema_version":"1.0","canonical_sha256":"7e3f296ffb70b16b410ac88b315a9f4f556fc8a77d084eb6f0141b48542a4d67","source":{"kind":"arxiv","id":"0711.1915","version":1},"attestation_state":"computed","paper":{"title":"Signum Function Method for Generation of Correlated Dichotomic Chains","license":"","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.dis-nn","authors_text":"F.M.Izrailev, N.M.Makarov, O.V.Usatenko, S.S.Apostolov, S.S.Melnyk, Z.A.Mayzelis","submitted_at":"2007-11-13T04:27:14Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0711.1915","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2007-11-13T04:27:14Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"ad046f84320cac0a9c2b765e46562992f5ecff0117bb4d96c88f3b15d96b1644","abstract_canon_sha256":"095b63c4e9ab920f371ee8ceecd709b5e12a7ac6c1b70709699bc694b88063d4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:47.422157Z","signature_b64":"twewpq1ooIZ5SccjB0Bk85ZEH0/e3euiI39oxjoQj1BTyG/asKNKCRFHHrhtQ6PgKXoNzYtG+YLQD6jmZWzhBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e3f296ffb70b16b410ac88b315a9f4f556fc8a77d084eb6f0141b48542a4d67","last_reissued_at":"2026-05-18T03:55:47.421561Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:47.421561Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Signum Function Method for Generation of Correlated Dichotomic Chains","license":"","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.dis-nn","authors_text":"F.M.Izrailev, N.M.Makarov, O.V.Usatenko, S.S.Apostolov, S.S.Melnyk, Z.A.Mayzelis","submitted_at":"2007-11-13T04:27:14Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.1915","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"0711.1915","created_at":"2026-05-18T03:55:47.421652+00:00"},{"alias_kind":"arxiv_version","alias_value":"0711.1915v1","created_at":"2026-05-18T03:55:47.421652+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.1915","created_at":"2026-05-18T03:55:47.421652+00:00"},{"alias_kind":"pith_short_12","alias_value":"PY7SS373OCYW","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"PY7SS373OCYWWQIK","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"PY7SS373","created_at":"2026-05-18T12:25:55.427421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PY7SS373OCYWWQIKZCFTCWU7J5","json":"https://pith.science/pith/PY7SS373OCYWWQIKZCFTCWU7J5.json","graph_json":"https://pith.science/api/pith-number/PY7SS373OCYWWQIKZCFTCWU7J5/graph.json","events_json":"https://pith.science/api/pith-number/PY7SS373OCYWWQIKZCFTCWU7J5/events.json","paper":"https://pith.science/paper/PY7SS373"},"agent_actions":{"view_html":"https://pith.science/pith/PY7SS373OCYWWQIKZCFTCWU7J5","download_json":"https://pith.science/pith/PY7SS373OCYWWQIKZCFTCWU7J5.json","view_paper":"https://pith.science/paper/PY7SS373","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0711.1915&json=true","fetch_graph":"https://pith.science/api/pith-number/PY7SS373OCYWWQIKZCFTCWU7J5/graph.json","fetch_events":"https://pith.science/api/pith-number/PY7SS373OCYWWQIKZCFTCWU7J5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PY7SS373OCYWWQIKZCFTCWU7J5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PY7SS373OCYWWQIKZCFTCWU7J5/action/storage_attestation","attest_author":"https://pith.science/pith/PY7SS373OCYWWQIKZCFTCWU7J5/action/author_attestation","sign_citation":"https://pith.science/pith/PY7SS373OCYWWQIKZCFTCWU7J5/action/citation_signature","submit_replication":"https://pith.science/pith/PY7SS373OCYWWQIKZCFTCWU7J5/action/replication_record"}},"created_at":"2026-05-18T03:55:47.421652+00:00","updated_at":"2026-05-18T03:55:47.421652+00:00"}