{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:RWTRN2JG32JJPRLUCTMFEO35XG","short_pith_number":"pith:RWTRN2JG","schema_version":"1.0","canonical_sha256":"8da716e926de9297c57414d8523b7db99a35a4e33fbc95db3bc9a06a6c2f8db5","source":{"kind":"arxiv","id":"1411.2761","version":1},"attestation_state":"computed","paper":{"title":"Entropy and long-range correlations in DNA sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","cond-mat.stat-mech","physics.data-an"],"primary_cat":"q-bio.OT","authors_text":"O.V. Usatenko, S.S. Melnik","submitted_at":"2014-11-11T10:53:55Z","abstract_excerpt":"We analyze the structure of DNA molecules of different organisms by using the additive Markov chain approach. Transforming nucleotide sequences into binary strings, we perform statistical analysis of the corresponding \"texts\". We develop the theory of N-step additive binary stationary ergodic Markov chains and analyze their differential entropy. Supposing that the correlations are weak we express the conditional probability function of the chain by means of the pair correlation function and represent the entropy as a functional of the pair correlator. Since the model uses two point correlators"},"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":"1411.2761","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2014-11-11T10:53:55Z","cross_cats_sorted":["cond-mat.soft","cond-mat.stat-mech","physics.data-an"],"title_canon_sha256":"f3ba88689e399a0e2bc9960462a3bac4b2a5254c547edb3632d6cec892b3b42c","abstract_canon_sha256":"c4b3cdb03d2e83e08a066283c4a840f98b59b8da68998b38aa28dfd412aa0c66"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:44.099702Z","signature_b64":"xtbQOZ1YtWbtLClRBp+xEx3moVQb3xXWmQdc2DQFWrAz3/JgqNR6qW0Mzb47rWJY0AB9/69smAmsAdmXKA/4CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8da716e926de9297c57414d8523b7db99a35a4e33fbc95db3bc9a06a6c2f8db5","last_reissued_at":"2026-05-18T02:37:44.099196Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:44.099196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entropy and long-range correlations in DNA sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","cond-mat.stat-mech","physics.data-an"],"primary_cat":"q-bio.OT","authors_text":"O.V. Usatenko, S.S. Melnik","submitted_at":"2014-11-11T10:53:55Z","abstract_excerpt":"We analyze the structure of DNA molecules of different organisms by using the additive Markov chain approach. Transforming nucleotide sequences into binary strings, we perform statistical analysis of the corresponding \"texts\". We develop the theory of N-step additive binary stationary ergodic Markov chains and analyze their differential entropy. Supposing that the correlations are weak we express the conditional probability function of the chain by means of the pair correlation function and represent the entropy as a functional of the pair correlator. Since the model uses two point correlators"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2761","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":"1411.2761","created_at":"2026-05-18T02:37:44.099273+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.2761v1","created_at":"2026-05-18T02:37:44.099273+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2761","created_at":"2026-05-18T02:37:44.099273+00:00"},{"alias_kind":"pith_short_12","alias_value":"RWTRN2JG32JJ","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"RWTRN2JG32JJPRLU","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"RWTRN2JG","created_at":"2026-05-18T12:28:46.137349+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/RWTRN2JG32JJPRLUCTMFEO35XG","json":"https://pith.science/pith/RWTRN2JG32JJPRLUCTMFEO35XG.json","graph_json":"https://pith.science/api/pith-number/RWTRN2JG32JJPRLUCTMFEO35XG/graph.json","events_json":"https://pith.science/api/pith-number/RWTRN2JG32JJPRLUCTMFEO35XG/events.json","paper":"https://pith.science/paper/RWTRN2JG"},"agent_actions":{"view_html":"https://pith.science/pith/RWTRN2JG32JJPRLUCTMFEO35XG","download_json":"https://pith.science/pith/RWTRN2JG32JJPRLUCTMFEO35XG.json","view_paper":"https://pith.science/paper/RWTRN2JG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.2761&json=true","fetch_graph":"https://pith.science/api/pith-number/RWTRN2JG32JJPRLUCTMFEO35XG/graph.json","fetch_events":"https://pith.science/api/pith-number/RWTRN2JG32JJPRLUCTMFEO35XG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RWTRN2JG32JJPRLUCTMFEO35XG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RWTRN2JG32JJPRLUCTMFEO35XG/action/storage_attestation","attest_author":"https://pith.science/pith/RWTRN2JG32JJPRLUCTMFEO35XG/action/author_attestation","sign_citation":"https://pith.science/pith/RWTRN2JG32JJPRLUCTMFEO35XG/action/citation_signature","submit_replication":"https://pith.science/pith/RWTRN2JG32JJPRLUCTMFEO35XG/action/replication_record"}},"created_at":"2026-05-18T02:37:44.099273+00:00","updated_at":"2026-05-18T02:37:44.099273+00:00"}