{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:5NJO7IGV2TMVXKHHKNHZJHSCVE","short_pith_number":"pith:5NJO7IGV","canonical_record":{"source":{"id":"1712.04774","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-12-13T14:07:05Z","cross_cats_sorted":[],"title_canon_sha256":"4d854ad066ca90dc167ac96b4673da8628f4949625c06c79ff27f5f487bd2531","abstract_canon_sha256":"3f82f19bb2df4c61f7e30bc5d78f16eac1070ae0ba6934a202d1ac6aa424a593"},"schema_version":"1.0"},"canonical_sha256":"eb52efa0d5d4d95ba8e7534f949e42a921b9eabf9377478b278656fefb10d99c","source":{"kind":"arxiv","id":"1712.04774","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.04774","created_at":"2026-05-18T00:28:03Z"},{"alias_kind":"arxiv_version","alias_value":"1712.04774v1","created_at":"2026-05-18T00:28:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04774","created_at":"2026-05-18T00:28:03Z"},{"alias_kind":"pith_short_12","alias_value":"5NJO7IGV2TMV","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5NJO7IGV2TMVXKHH","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5NJO7IGV","created_at":"2026-05-18T12:31:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:5NJO7IGV2TMVXKHHKNHZJHSCVE","target":"record","payload":{"canonical_record":{"source":{"id":"1712.04774","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-12-13T14:07:05Z","cross_cats_sorted":[],"title_canon_sha256":"4d854ad066ca90dc167ac96b4673da8628f4949625c06c79ff27f5f487bd2531","abstract_canon_sha256":"3f82f19bb2df4c61f7e30bc5d78f16eac1070ae0ba6934a202d1ac6aa424a593"},"schema_version":"1.0"},"canonical_sha256":"eb52efa0d5d4d95ba8e7534f949e42a921b9eabf9377478b278656fefb10d99c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:03.521495Z","signature_b64":"0ZTWMqEnNOwlU55W7nkM+7iQkdaZoXxvBTn2huUlZQlnGv80OUJgtf2RCPXldSxhrE5Um8L9ILYs4a8MAvfyDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb52efa0d5d4d95ba8e7534f949e42a921b9eabf9377478b278656fefb10d99c","last_reissued_at":"2026-05-18T00:28:03.520993Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:03.520993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.04774","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":"2026-05-18T00:28:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JtTZZeYDTN+2ZVj9mjsAsx99IpKtcV6vfs7lETMNqiueTLP4OdbJNZei5PUbEH4BmrPK1JmpUt/ef5hKWRO3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T18:51:37.327975Z"},"content_sha256":"ac94a916a7860bd53ccfbdbce9a99d7cd78dc9c01a116c6f1d202e44932228d4","schema_version":"1.0","event_id":"sha256:ac94a916a7860bd53ccfbdbce9a99d7cd78dc9c01a116c6f1d202e44932228d4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:5NJO7IGV2TMVXKHHKNHZJHSCVE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equations of Evolutionary Dynamics in High Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"Alfred Ajay Aureate R., Vaibhav Madhok","submitted_at":"2017-12-13T14:07:05Z","abstract_excerpt":"We study quasi-species and closely related evolutionary dynamics like the replicator-mutator equation in high dimensions. In particular, we show that under certain conditions the fitness of almost all quasi-species becomes independent of mutational probabilities and the initial frequency distributions of the sequences in high dimensional sequence spaces. This result is the consequence of the concentration of measure on a high dimensional hypersphere and its extension to Lipschitz functions known %knows as the Levy's Lemma. Therefore, evolutionary dynamics almost always yields the same value fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04774","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":"2026-05-18T00:28:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EW055V/YiTJ6pPAu1vNrU7X4yxZV4LNw8sKwqw+irBCkRut1Y+RH85cE/odR3Jx19GQKv8GHakDg47XU6YU1Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T18:51:37.328328Z"},"content_sha256":"06732732129cd61e123969f9683426973f43b0d40cc2da23be6dc60ea0619a0c","schema_version":"1.0","event_id":"sha256:06732732129cd61e123969f9683426973f43b0d40cc2da23be6dc60ea0619a0c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5NJO7IGV2TMVXKHHKNHZJHSCVE/bundle.json","state_url":"https://pith.science/pith/5NJO7IGV2TMVXKHHKNHZJHSCVE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5NJO7IGV2TMVXKHHKNHZJHSCVE/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":"2026-06-28T18:51:37Z","links":{"resolver":"https://pith.science/pith/5NJO7IGV2TMVXKHHKNHZJHSCVE","bundle":"https://pith.science/pith/5NJO7IGV2TMVXKHHKNHZJHSCVE/bundle.json","state":"https://pith.science/pith/5NJO7IGV2TMVXKHHKNHZJHSCVE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5NJO7IGV2TMVXKHHKNHZJHSCVE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5NJO7IGV2TMVXKHHKNHZJHSCVE","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":"3f82f19bb2df4c61f7e30bc5d78f16eac1070ae0ba6934a202d1ac6aa424a593","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-12-13T14:07:05Z","title_canon_sha256":"4d854ad066ca90dc167ac96b4673da8628f4949625c06c79ff27f5f487bd2531"},"schema_version":"1.0","source":{"id":"1712.04774","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.04774","created_at":"2026-05-18T00:28:03Z"},{"alias_kind":"arxiv_version","alias_value":"1712.04774v1","created_at":"2026-05-18T00:28:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04774","created_at":"2026-05-18T00:28:03Z"},{"alias_kind":"pith_short_12","alias_value":"5NJO7IGV2TMV","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5NJO7IGV2TMVXKHH","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5NJO7IGV","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:06732732129cd61e123969f9683426973f43b0d40cc2da23be6dc60ea0619a0c","target":"graph","created_at":"2026-05-18T00:28:03Z","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 study quasi-species and closely related evolutionary dynamics like the replicator-mutator equation in high dimensions. In particular, we show that under certain conditions the fitness of almost all quasi-species becomes independent of mutational probabilities and the initial frequency distributions of the sequences in high dimensional sequence spaces. This result is the consequence of the concentration of measure on a high dimensional hypersphere and its extension to Lipschitz functions known %knows as the Levy's Lemma. Therefore, evolutionary dynamics almost always yields the same value fo","authors_text":"Alfred Ajay Aureate R., Vaibhav Madhok","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-12-13T14:07:05Z","title":"Equations of Evolutionary Dynamics in High Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04774","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:ac94a916a7860bd53ccfbdbce9a99d7cd78dc9c01a116c6f1d202e44932228d4","target":"record","created_at":"2026-05-18T00:28:03Z","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":"3f82f19bb2df4c61f7e30bc5d78f16eac1070ae0ba6934a202d1ac6aa424a593","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2017-12-13T14:07:05Z","title_canon_sha256":"4d854ad066ca90dc167ac96b4673da8628f4949625c06c79ff27f5f487bd2531"},"schema_version":"1.0","source":{"id":"1712.04774","kind":"arxiv","version":1}},"canonical_sha256":"eb52efa0d5d4d95ba8e7534f949e42a921b9eabf9377478b278656fefb10d99c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eb52efa0d5d4d95ba8e7534f949e42a921b9eabf9377478b278656fefb10d99c","first_computed_at":"2026-05-18T00:28:03.520993Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:03.520993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0ZTWMqEnNOwlU55W7nkM+7iQkdaZoXxvBTn2huUlZQlnGv80OUJgtf2RCPXldSxhrE5Um8L9ILYs4a8MAvfyDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:03.521495Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.04774","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac94a916a7860bd53ccfbdbce9a99d7cd78dc9c01a116c6f1d202e44932228d4","sha256:06732732129cd61e123969f9683426973f43b0d40cc2da23be6dc60ea0619a0c"],"state_sha256":"1f51177a56c4acd4ef4f835f4d7abd3608c7c0b00cf1bf0efdab3a32536b4e19"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"enq4N63hQ1fCSwN9FEsciaL2Xf3ZLWn7UKPj9TtCn8U0m4/Ef41kHUQxy/LXDRdweXrhQz4DyyOllJVPjszvAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T18:51:37.330104Z","bundle_sha256":"30db8930f851cc7c518eda06c1d074ad80b321daab2edf1a2b099e4893001d69"}}