{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YEVQWPOFPQFISWD3NF4YVHETKR","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":"522d78c430f0af78bebddf5481c5bddcf5f9fe2026831c7e56f43676a76701ad","cross_cats_sorted":["cond-mat.stat-mech","math.PR","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-10-15T00:33:30Z","title_canon_sha256":"36e8de13937e7a01c7781b9d81ef7419478c6694cd1b4da858ad4afd16ed8e31"},"schema_version":"1.0","source":{"id":"1110.3368","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3368","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3368v5","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3368","created_at":"2026-05-18T02:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"YEVQWPOFPQFI","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YEVQWPOFPQFISWD3","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YEVQWPOF","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:0864ddba79f856af143cec5bed468b273bbea8eccbba3dbcce719e9dd97a3a53","target":"graph","created_at":"2026-05-18T02:59:45Z","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":"In the present work we analyze the problem of adaptation and evolution of RNA virus populations, by defining the basic stochastic model as a multivariate branching process in close relation with the branching process advanced by Demetrius, Schuster and Sigmund (\"Polynucleotide evolution and branching processes\", Bull. Math. Biol. 46 (1985) 239-262), in their study of polynucleotide evolution. We show that in the absence of beneficial forces the model is exactly solvable. As a result it is possible to prove several key results directly related to known typical properties of these systems like (","authors_text":"Diogo Castro, Fernando Antoneli, Francisco Bosco, Luiz Mario Janini","cross_cats":["cond-mat.stat-mech","math.PR","physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-10-15T00:33:30Z","title":"Viral Evolution and Adaptation as a Multivariate Branching Process"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3368","kind":"arxiv","version":5},"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":"sha256:89b41203b02479528d416f588138028fa84c786d121f51eb6ca419c13d6fc3b1","target":"record","created_at":"2026-05-18T02:59:45Z","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":"522d78c430f0af78bebddf5481c5bddcf5f9fe2026831c7e56f43676a76701ad","cross_cats_sorted":["cond-mat.stat-mech","math.PR","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-10-15T00:33:30Z","title_canon_sha256":"36e8de13937e7a01c7781b9d81ef7419478c6694cd1b4da858ad4afd16ed8e31"},"schema_version":"1.0","source":{"id":"1110.3368","kind":"arxiv","version":5}},"canonical_sha256":"c12b0b3dc57c0a89587b69798a9c93545137eb0c9be10b9c25a496812bc95fe5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c12b0b3dc57c0a89587b69798a9c93545137eb0c9be10b9c25a496812bc95fe5","first_computed_at":"2026-05-18T02:59:45.362628Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:45.362628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wa0FUfdrYrsJQ6rpKOviL6ASV3gl7k7nEsu80xA1XzVjKd5/DXbY6nJL9B8vF1/HDnCjmg0hrs72z7VfL8M+Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:45.363534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.3368","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89b41203b02479528d416f588138028fa84c786d121f51eb6ca419c13d6fc3b1","sha256:0864ddba79f856af143cec5bed468b273bbea8eccbba3dbcce719e9dd97a3a53"],"state_sha256":"9da7bafe26d72bc05ab75f4aa6c66796147cde4673749a24fc71a20d8f643d4f"}