{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:3GORIB2VEZXQPI7XDIVG5IKSCP","short_pith_number":"pith:3GORIB2V","schema_version":"1.0","canonical_sha256":"d99d140755266f07a3f71a2a6ea15213e7162c8870a33eed90ebb4f633138314","source":{"kind":"arxiv","id":"0809.1016","version":1},"attestation_state":"computed","paper":{"title":"RNA matrix models with external interactions and their asymptotic behaviour","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.BM","authors_text":"I. Garg, N. Deo","submitted_at":"2008-09-05T12:17:57Z","abstract_excerpt":"We study a matrix model of RNA in which an external perturbation acts on n nucleotides of the polymer chain. The effect of the perturbation appears in the exponential generating function of the partition function as a factor $(1-\\frac{n\\alpha}{L})$ [where $\\alpha$ is the ratio of strengths of the original to the perturbed term and L is length of the chain]. The asymptotic behaviour of the genus distribution functions for the extended matrix model are analyzed numerically when (i) $n=L$ and (ii) $n=1$. In these matrix models of RNA, as $n\\alpha/L$ is increased from 0 to 1, it is found that the "},"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":"0809.1016","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.BM","submitted_at":"2008-09-05T12:17:57Z","cross_cats_sorted":[],"title_canon_sha256":"f794f88c00687a263c718ec26ec5948733eb4933ff65fdbae359dffcf602a87e","abstract_canon_sha256":"10911148ebdfd317ee0d8041b155dd3c2a54c729609b6cb723f87e4966f5f19c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:35.425174Z","signature_b64":"trlwC4Yfqs55nHd53/GLabD4pKTM85gGeMWKZ/ZkhBcAQNTt90WeLfwmRji3F7HAHntCDdx0AYoQ8WiTSZrfDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d99d140755266f07a3f71a2a6ea15213e7162c8870a33eed90ebb4f633138314","last_reissued_at":"2026-05-18T02:15:35.424490Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:35.424490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"RNA matrix models with external interactions and their asymptotic behaviour","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.BM","authors_text":"I. Garg, N. Deo","submitted_at":"2008-09-05T12:17:57Z","abstract_excerpt":"We study a matrix model of RNA in which an external perturbation acts on n nucleotides of the polymer chain. The effect of the perturbation appears in the exponential generating function of the partition function as a factor $(1-\\frac{n\\alpha}{L})$ [where $\\alpha$ is the ratio of strengths of the original to the perturbed term and L is length of the chain]. The asymptotic behaviour of the genus distribution functions for the extended matrix model are analyzed numerically when (i) $n=L$ and (ii) $n=1$. In these matrix models of RNA, as $n\\alpha/L$ is increased from 0 to 1, it is found that the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.1016","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":"0809.1016","created_at":"2026-05-18T02:15:35.424591+00:00"},{"alias_kind":"arxiv_version","alias_value":"0809.1016v1","created_at":"2026-05-18T02:15:35.424591+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.1016","created_at":"2026-05-18T02:15:35.424591+00:00"},{"alias_kind":"pith_short_12","alias_value":"3GORIB2VEZXQ","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"3GORIB2VEZXQPI7X","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"3GORIB2V","created_at":"2026-05-18T12:25:56.245647+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/3GORIB2VEZXQPI7XDIVG5IKSCP","json":"https://pith.science/pith/3GORIB2VEZXQPI7XDIVG5IKSCP.json","graph_json":"https://pith.science/api/pith-number/3GORIB2VEZXQPI7XDIVG5IKSCP/graph.json","events_json":"https://pith.science/api/pith-number/3GORIB2VEZXQPI7XDIVG5IKSCP/events.json","paper":"https://pith.science/paper/3GORIB2V"},"agent_actions":{"view_html":"https://pith.science/pith/3GORIB2VEZXQPI7XDIVG5IKSCP","download_json":"https://pith.science/pith/3GORIB2VEZXQPI7XDIVG5IKSCP.json","view_paper":"https://pith.science/paper/3GORIB2V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0809.1016&json=true","fetch_graph":"https://pith.science/api/pith-number/3GORIB2VEZXQPI7XDIVG5IKSCP/graph.json","fetch_events":"https://pith.science/api/pith-number/3GORIB2VEZXQPI7XDIVG5IKSCP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3GORIB2VEZXQPI7XDIVG5IKSCP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3GORIB2VEZXQPI7XDIVG5IKSCP/action/storage_attestation","attest_author":"https://pith.science/pith/3GORIB2VEZXQPI7XDIVG5IKSCP/action/author_attestation","sign_citation":"https://pith.science/pith/3GORIB2VEZXQPI7XDIVG5IKSCP/action/citation_signature","submit_replication":"https://pith.science/pith/3GORIB2VEZXQPI7XDIVG5IKSCP/action/replication_record"}},"created_at":"2026-05-18T02:15:35.424591+00:00","updated_at":"2026-05-18T02:15:35.424591+00:00"}