{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:XC6AX4OYUS4UVULJP7K4ZZPK3B","short_pith_number":"pith:XC6AX4OY","canonical_record":{"source":{"id":"1212.1262","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-12-06T09:09:56Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"f20a64652747649589a76b34b631e4daf9a4eeae7ca31903db4bd393809fddd8","abstract_canon_sha256":"40bbe8d3b0ef2fb660a5b461b4c79c17c8d76439badde79d510ba8dd1f88f1a3"},"schema_version":"1.0"},"canonical_sha256":"b8bc0bf1d8a4b94ad1697fd5cce5ead86b91287fc4a131bc79a93c1ce9b80cf6","source":{"kind":"arxiv","id":"1212.1262","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1262","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1262v1","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1262","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"pith_short_12","alias_value":"XC6AX4OYUS4U","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XC6AX4OYUS4UVULJ","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XC6AX4OY","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:XC6AX4OYUS4UVULJP7K4ZZPK3B","target":"record","payload":{"canonical_record":{"source":{"id":"1212.1262","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-12-06T09:09:56Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"f20a64652747649589a76b34b631e4daf9a4eeae7ca31903db4bd393809fddd8","abstract_canon_sha256":"40bbe8d3b0ef2fb660a5b461b4c79c17c8d76439badde79d510ba8dd1f88f1a3"},"schema_version":"1.0"},"canonical_sha256":"b8bc0bf1d8a4b94ad1697fd5cce5ead86b91287fc4a131bc79a93c1ce9b80cf6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:47.078024Z","signature_b64":"6TWQJ3delzBQ7gCEF5WPgusYqSjILq4peWMQJYAVZzFLhwvXAjDXI/dLrsYTNMHTXYqyTBtsXfiq4mUWa78qAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8bc0bf1d8a4b94ad1697fd5cce5ead86b91287fc4a131bc79a93c1ce9b80cf6","last_reissued_at":"2026-05-18T01:52:47.077623Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:47.077623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.1262","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:52:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KXOMAYlIYWQexjdofkzDcap9kyfDcAB5CalP0CV0+ekJtAs5Gt6GPRIbratmVIglzZjMzEYRzx2T2vLPotIOBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:48:03.909096Z"},"content_sha256":"f7448113ce8b3ac9eef33991321f4edba06efb0313ad846b09031ebffbfd9c4b","schema_version":"1.0","event_id":"sha256:f7448113ce8b3ac9eef33991321f4edba06efb0313ad846b09031ebffbfd9c4b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:XC6AX4OYUS4UVULJP7K4ZZPK3B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite genome length corrections for the mean fitness and gene probabilities in evolution models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"q-bio.PE","authors_text":"Chin Kun Hu, David B. Saakian, Zara Kirakosyan","submitted_at":"2012-12-06T09:09:56Z","abstract_excerpt":"Using the Hamilton-Jacobi equation approach to study genomes of length $L$, we obtain 1/L corrections for the steady state population distributions and mean fitness functions for horizontal gene transfer model, as well as for the diploid evolution model with general fitness landscapes. Our numerical solutions confirm the obtained analytic equations. Our method could be applied to the general case of nonlinear Markov models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1262","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:52:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"93D2O+se0zVO+ZmXg+bMbQqn2+PKX1NBg5TPdp1Gxji+tqP1JQini9+nsz2FPkjpiRwdyEDK/mvrnn8MjHgGBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:48:03.909800Z"},"content_sha256":"0c7e9048de7a57f25314f275a71d98f20c3be1909471717cb025377cf9eb978f","schema_version":"1.0","event_id":"sha256:0c7e9048de7a57f25314f275a71d98f20c3be1909471717cb025377cf9eb978f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XC6AX4OYUS4UVULJP7K4ZZPK3B/bundle.json","state_url":"https://pith.science/pith/XC6AX4OYUS4UVULJP7K4ZZPK3B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XC6AX4OYUS4UVULJP7K4ZZPK3B/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T19:48:03Z","links":{"resolver":"https://pith.science/pith/XC6AX4OYUS4UVULJP7K4ZZPK3B","bundle":"https://pith.science/pith/XC6AX4OYUS4UVULJP7K4ZZPK3B/bundle.json","state":"https://pith.science/pith/XC6AX4OYUS4UVULJP7K4ZZPK3B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XC6AX4OYUS4UVULJP7K4ZZPK3B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XC6AX4OYUS4UVULJP7K4ZZPK3B","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":"40bbe8d3b0ef2fb660a5b461b4c79c17c8d76439badde79d510ba8dd1f88f1a3","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-12-06T09:09:56Z","title_canon_sha256":"f20a64652747649589a76b34b631e4daf9a4eeae7ca31903db4bd393809fddd8"},"schema_version":"1.0","source":{"id":"1212.1262","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1262","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1262v1","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1262","created_at":"2026-05-18T01:52:47Z"},{"alias_kind":"pith_short_12","alias_value":"XC6AX4OYUS4U","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XC6AX4OYUS4UVULJ","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XC6AX4OY","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:0c7e9048de7a57f25314f275a71d98f20c3be1909471717cb025377cf9eb978f","target":"graph","created_at":"2026-05-18T01:52:47Z","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":"Using the Hamilton-Jacobi equation approach to study genomes of length $L$, we obtain 1/L corrections for the steady state population distributions and mean fitness functions for horizontal gene transfer model, as well as for the diploid evolution model with general fitness landscapes. Our numerical solutions confirm the obtained analytic equations. Our method could be applied to the general case of nonlinear Markov models.","authors_text":"Chin Kun Hu, David B. Saakian, Zara Kirakosyan","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-12-06T09:09:56Z","title":"Finite genome length corrections for the mean fitness and gene probabilities in evolution models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1262","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:f7448113ce8b3ac9eef33991321f4edba06efb0313ad846b09031ebffbfd9c4b","target":"record","created_at":"2026-05-18T01:52:47Z","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":"40bbe8d3b0ef2fb660a5b461b4c79c17c8d76439badde79d510ba8dd1f88f1a3","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2012-12-06T09:09:56Z","title_canon_sha256":"f20a64652747649589a76b34b631e4daf9a4eeae7ca31903db4bd393809fddd8"},"schema_version":"1.0","source":{"id":"1212.1262","kind":"arxiv","version":1}},"canonical_sha256":"b8bc0bf1d8a4b94ad1697fd5cce5ead86b91287fc4a131bc79a93c1ce9b80cf6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8bc0bf1d8a4b94ad1697fd5cce5ead86b91287fc4a131bc79a93c1ce9b80cf6","first_computed_at":"2026-05-18T01:52:47.077623Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:47.077623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6TWQJ3delzBQ7gCEF5WPgusYqSjILq4peWMQJYAVZzFLhwvXAjDXI/dLrsYTNMHTXYqyTBtsXfiq4mUWa78qAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:47.078024Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.1262","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7448113ce8b3ac9eef33991321f4edba06efb0313ad846b09031ebffbfd9c4b","sha256:0c7e9048de7a57f25314f275a71d98f20c3be1909471717cb025377cf9eb978f"],"state_sha256":"780e60e4a3cba5f3acaa4bbe19b2a10679ac5d9ed3648aff273d6ba5658601a6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zzz7g7f/I8L4lEPkuZAq6lPB0m28tBqYvCbDbbfw378i+SMqe0uClqjiRtdjoIFkkRm7Okuk7RTd9eV6X0XRAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:48:03.913762Z","bundle_sha256":"40ee0f27bc3183cc8a913ed8a8764839037fd69a057949b20627017468c924a7"}}