{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:4XG22Z5XDNZJAPPW5R2HWNIWQT","short_pith_number":"pith:4XG22Z5X","canonical_record":{"source":{"id":"1804.03744","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-04-10T22:46:55Z","cross_cats_sorted":[],"title_canon_sha256":"bfd2d9cec27a02c5a4573a493b42d6c125ad21a49c2549007dadf4dab6e1dd1a","abstract_canon_sha256":"5da7f8f5ddb07960c3540f1234b60f7b1ea70310bb17df27a3dcd47f56ef7b0c"},"schema_version":"1.0"},"canonical_sha256":"e5cdad67b71b72903df6ec747b351684e8828c2e3725da1d47351a4740164e69","source":{"kind":"arxiv","id":"1804.03744","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.03744","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1804.03744v2","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.03744","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"4XG22Z5XDNZJ","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4XG22Z5XDNZJAPPW","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4XG22Z5X","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:4XG22Z5XDNZJAPPW5R2HWNIWQT","target":"record","payload":{"canonical_record":{"source":{"id":"1804.03744","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-04-10T22:46:55Z","cross_cats_sorted":[],"title_canon_sha256":"bfd2d9cec27a02c5a4573a493b42d6c125ad21a49c2549007dadf4dab6e1dd1a","abstract_canon_sha256":"5da7f8f5ddb07960c3540f1234b60f7b1ea70310bb17df27a3dcd47f56ef7b0c"},"schema_version":"1.0"},"canonical_sha256":"e5cdad67b71b72903df6ec747b351684e8828c2e3725da1d47351a4740164e69","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:17.420834Z","signature_b64":"10Do0FrEdYRpyTWHCC2eiasHucjzVxh5YIR7f0blN8q8q5TdHge470mpoZEamLeF4AdYfqjy0TIG6ywjE0lEDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5cdad67b71b72903df6ec747b351684e8828c2e3725da1d47351a4740164e69","last_reissued_at":"2026-05-17T23:59:17.420262Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:17.420262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.03744","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J3BOUhSuk1WNhRDEUCOPHCR7XEzbztdRWYFhsXAtSWxmmXqiwzx1VzoIRsQv6YnTNyHzq2ADwVYDrN3o9EWuCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:36:27.594583Z"},"content_sha256":"ea0708a977dc5769ae3a4e887c1f78c65a90e62694bcd9e89f88954183025376","schema_version":"1.0","event_id":"sha256:ea0708a977dc5769ae3a4e887c1f78c65a90e62694bcd9e89f88954183025376"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:4XG22Z5XDNZJAPPW5R2HWNIWQT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Archimedean Replicator Dynamics and Eigen's Paradox","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"W. A. Z\\'u\\~niga-Galindo","submitted_at":"2018-04-10T22:46:55Z","abstract_excerpt":"We present a new non-Archimedean model of evolutionary dynamics, in which the genomes are represented by p-adic numbers. In this model the genomes have a variable length, not necessarily bounded, in contrast with the classical models where the length is fixed. The time evolution of the concentration of a given genome is controlled by a p-adic evolution equation. This equation depends on a fitness function f and on mutation measure Q. By choosing a mutation measure of Gibbs type, and by using a p-adic version of the Maynard Smith Ansatz, we show the existence of threshold function M_{c}(f,Q), s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03744","kind":"arxiv","version":2},"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":"2026-05-17T23:59:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8hR8IQHQipZqF2xc3zd794WYnRAJPLyhEZptovEUK8u7z6Wy4ABPT9G9ci3L7fs+Gxnxs18rtzRGrJGns+KNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T07:36:27.594935Z"},"content_sha256":"b457ec12bd5811bf12af79352365095e8ae2a6170cb988ed97dddd1509227dbd","schema_version":"1.0","event_id":"sha256:b457ec12bd5811bf12af79352365095e8ae2a6170cb988ed97dddd1509227dbd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT/bundle.json","state_url":"https://pith.science/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT/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":"2026-06-01T07:36:27Z","links":{"resolver":"https://pith.science/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT","bundle":"https://pith.science/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT/bundle.json","state":"https://pith.science/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4XG22Z5XDNZJAPPW5R2HWNIWQT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4XG22Z5XDNZJAPPW5R2HWNIWQT","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":"5da7f8f5ddb07960c3540f1234b60f7b1ea70310bb17df27a3dcd47f56ef7b0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-04-10T22:46:55Z","title_canon_sha256":"bfd2d9cec27a02c5a4573a493b42d6c125ad21a49c2549007dadf4dab6e1dd1a"},"schema_version":"1.0","source":{"id":"1804.03744","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.03744","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"arxiv_version","alias_value":"1804.03744v2","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.03744","created_at":"2026-05-17T23:59:17Z"},{"alias_kind":"pith_short_12","alias_value":"4XG22Z5XDNZJ","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4XG22Z5XDNZJAPPW","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4XG22Z5X","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:b457ec12bd5811bf12af79352365095e8ae2a6170cb988ed97dddd1509227dbd","target":"graph","created_at":"2026-05-17T23:59:17Z","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":"We present a new non-Archimedean model of evolutionary dynamics, in which the genomes are represented by p-adic numbers. In this model the genomes have a variable length, not necessarily bounded, in contrast with the classical models where the length is fixed. The time evolution of the concentration of a given genome is controlled by a p-adic evolution equation. This equation depends on a fitness function f and on mutation measure Q. By choosing a mutation measure of Gibbs type, and by using a p-adic version of the Maynard Smith Ansatz, we show the existence of threshold function M_{c}(f,Q), s","authors_text":"W. A. Z\\'u\\~niga-Galindo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-04-10T22:46:55Z","title":"Non-Archimedean Replicator Dynamics and Eigen's Paradox"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.03744","kind":"arxiv","version":2},"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:ea0708a977dc5769ae3a4e887c1f78c65a90e62694bcd9e89f88954183025376","target":"record","created_at":"2026-05-17T23:59:17Z","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":"5da7f8f5ddb07960c3540f1234b60f7b1ea70310bb17df27a3dcd47f56ef7b0c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-04-10T22:46:55Z","title_canon_sha256":"bfd2d9cec27a02c5a4573a493b42d6c125ad21a49c2549007dadf4dab6e1dd1a"},"schema_version":"1.0","source":{"id":"1804.03744","kind":"arxiv","version":2}},"canonical_sha256":"e5cdad67b71b72903df6ec747b351684e8828c2e3725da1d47351a4740164e69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5cdad67b71b72903df6ec747b351684e8828c2e3725da1d47351a4740164e69","first_computed_at":"2026-05-17T23:59:17.420262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:17.420262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"10Do0FrEdYRpyTWHCC2eiasHucjzVxh5YIR7f0blN8q8q5TdHge470mpoZEamLeF4AdYfqjy0TIG6ywjE0lEDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:17.420834Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.03744","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea0708a977dc5769ae3a4e887c1f78c65a90e62694bcd9e89f88954183025376","sha256:b457ec12bd5811bf12af79352365095e8ae2a6170cb988ed97dddd1509227dbd"],"state_sha256":"7032826320d37161c3636cf3c576fc37a3bc6012f99f579d26c65fef380548bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8HSgYWKhV1/njWibPXQguW1lWsyqOdMPgqWkk+1WT8K77jsgdXQTLPIhsgTY8LwQpZhYULI4jR5SgZosgFSCDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T07:36:27.597345Z","bundle_sha256":"43c59d3744dddcaa3985f9e3c9f5deb6df3a61e240fd4ad7ee01f8f7f33347e1"}}