{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:TH46AYG6T4JGVEG73NORUO7XI3","short_pith_number":"pith:TH46AYG6","canonical_record":{"source":{"id":"1704.04194","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2017-04-09T15:12:42Z","cross_cats_sorted":["cs.IT","math.IT","math.MG"],"title_canon_sha256":"938c6dc74bcb2fab7540a94b7b02b5feffc1407f45dcbd981fe9e55f840d7917","abstract_canon_sha256":"6d3d86e9b7b1b894c710bf3a1798f0ad101f700ee794c6619d01af948900d772"},"schema_version":"1.0"},"canonical_sha256":"99f9e060de9f126a90dfdb5d1a3bf746fc47152cdf5bec8684357b20a0e580e6","source":{"kind":"arxiv","id":"1704.04194","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.04194","created_at":"2026-05-18T00:44:35Z"},{"alias_kind":"arxiv_version","alias_value":"1704.04194v1","created_at":"2026-05-18T00:44:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04194","created_at":"2026-05-18T00:44:35Z"},{"alias_kind":"pith_short_12","alias_value":"TH46AYG6T4JG","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TH46AYG6T4JGVEG7","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TH46AYG6","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:TH46AYG6T4JGVEG73NORUO7XI3","target":"record","payload":{"canonical_record":{"source":{"id":"1704.04194","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2017-04-09T15:12:42Z","cross_cats_sorted":["cs.IT","math.IT","math.MG"],"title_canon_sha256":"938c6dc74bcb2fab7540a94b7b02b5feffc1407f45dcbd981fe9e55f840d7917","abstract_canon_sha256":"6d3d86e9b7b1b894c710bf3a1798f0ad101f700ee794c6619d01af948900d772"},"schema_version":"1.0"},"canonical_sha256":"99f9e060de9f126a90dfdb5d1a3bf746fc47152cdf5bec8684357b20a0e580e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:35.004307Z","signature_b64":"gtQeSxI4Yy4xvD3lhCK5TuvyjjBwv9XXc4NR+S46ECZz4B8hH4o62XRSRux1QUkLXAFJ90tGt+vkPt8ZYrkIBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99f9e060de9f126a90dfdb5d1a3bf746fc47152cdf5bec8684357b20a0e580e6","last_reissued_at":"2026-05-18T00:44:35.003809Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:35.003809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.04194","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":"2026-05-18T00:44:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6sYD154yNuGHWHsHX9AOGDFcy8zRcRF5H4cGd2WFkuxY4chjM2NtQMC+U5elFoFlei9RQbrkWmwRmbB6/xbnDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T22:09:34.857383Z"},"content_sha256":"f873d3982c7fd8e6edec52df5a7d38182c34a39fecb5e04f00ed581836a33e5d","schema_version":"1.0","event_id":"sha256:f873d3982c7fd8e6edec52df5a7d38182c34a39fecb5e04f00ed581836a33e5d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:TH46AYG6T4JGVEG73NORUO7XI3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ultrametrics in the genetic code and the genome","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT","math.MG"],"primary_cat":"q-bio.OT","authors_text":"Andrei Yu. Khrennikov, Branko Dragovich, Nata\\v{s}a \\v{Z}. Mi\\v{s}i\\'c","submitted_at":"2017-04-09T15:12:42Z","abstract_excerpt":"Ultrametric approach to the genetic code and the genome is considered and developed. $p$-Adic degeneracy of the genetic code is pointed out. Ultrametric tree of the codon space is presented. It is shown that codons and amino acids can be treated as $p$-adic ultrametric networks. Ultrametric modification of the Hamming distance is defined and noted how it can be useful. Ultrametric approach with $p$-adic distance is an attractive and promising trend towards investigation of bioinformation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04194","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":"2026-05-18T00:44:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QGBJaD1hLbB4PK7FaN0t8n3HDNV27GpHfw+TFPC/+LBq3Y/akVQQMW+C64NE0K+CivvcjD10fR5dsq/q0P0TDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T22:09:34.858007Z"},"content_sha256":"435e04a6b52e7106935df8e700493758b456d6a7a0dabf1b899d37a53ea4b7ed","schema_version":"1.0","event_id":"sha256:435e04a6b52e7106935df8e700493758b456d6a7a0dabf1b899d37a53ea4b7ed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TH46AYG6T4JGVEG73NORUO7XI3/bundle.json","state_url":"https://pith.science/pith/TH46AYG6T4JGVEG73NORUO7XI3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TH46AYG6T4JGVEG73NORUO7XI3/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":"2026-06-05T22:09:34Z","links":{"resolver":"https://pith.science/pith/TH46AYG6T4JGVEG73NORUO7XI3","bundle":"https://pith.science/pith/TH46AYG6T4JGVEG73NORUO7XI3/bundle.json","state":"https://pith.science/pith/TH46AYG6T4JGVEG73NORUO7XI3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TH46AYG6T4JGVEG73NORUO7XI3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TH46AYG6T4JGVEG73NORUO7XI3","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":"6d3d86e9b7b1b894c710bf3a1798f0ad101f700ee794c6619d01af948900d772","cross_cats_sorted":["cs.IT","math.IT","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2017-04-09T15:12:42Z","title_canon_sha256":"938c6dc74bcb2fab7540a94b7b02b5feffc1407f45dcbd981fe9e55f840d7917"},"schema_version":"1.0","source":{"id":"1704.04194","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.04194","created_at":"2026-05-18T00:44:35Z"},{"alias_kind":"arxiv_version","alias_value":"1704.04194v1","created_at":"2026-05-18T00:44:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.04194","created_at":"2026-05-18T00:44:35Z"},{"alias_kind":"pith_short_12","alias_value":"TH46AYG6T4JG","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TH46AYG6T4JGVEG7","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TH46AYG6","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:435e04a6b52e7106935df8e700493758b456d6a7a0dabf1b899d37a53ea4b7ed","target":"graph","created_at":"2026-05-18T00:44:35Z","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":"Ultrametric approach to the genetic code and the genome is considered and developed. $p$-Adic degeneracy of the genetic code is pointed out. Ultrametric tree of the codon space is presented. It is shown that codons and amino acids can be treated as $p$-adic ultrametric networks. Ultrametric modification of the Hamming distance is defined and noted how it can be useful. Ultrametric approach with $p$-adic distance is an attractive and promising trend towards investigation of bioinformation.","authors_text":"Andrei Yu. Khrennikov, Branko Dragovich, Nata\\v{s}a \\v{Z}. Mi\\v{s}i\\'c","cross_cats":["cs.IT","math.IT","math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2017-04-09T15:12:42Z","title":"Ultrametrics in the genetic code and the genome"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.04194","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:f873d3982c7fd8e6edec52df5a7d38182c34a39fecb5e04f00ed581836a33e5d","target":"record","created_at":"2026-05-18T00:44:35Z","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":"6d3d86e9b7b1b894c710bf3a1798f0ad101f700ee794c6619d01af948900d772","cross_cats_sorted":["cs.IT","math.IT","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.OT","submitted_at":"2017-04-09T15:12:42Z","title_canon_sha256":"938c6dc74bcb2fab7540a94b7b02b5feffc1407f45dcbd981fe9e55f840d7917"},"schema_version":"1.0","source":{"id":"1704.04194","kind":"arxiv","version":1}},"canonical_sha256":"99f9e060de9f126a90dfdb5d1a3bf746fc47152cdf5bec8684357b20a0e580e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99f9e060de9f126a90dfdb5d1a3bf746fc47152cdf5bec8684357b20a0e580e6","first_computed_at":"2026-05-18T00:44:35.003809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:35.003809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gtQeSxI4Yy4xvD3lhCK5TuvyjjBwv9XXc4NR+S46ECZz4B8hH4o62XRSRux1QUkLXAFJ90tGt+vkPt8ZYrkIBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:35.004307Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.04194","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f873d3982c7fd8e6edec52df5a7d38182c34a39fecb5e04f00ed581836a33e5d","sha256:435e04a6b52e7106935df8e700493758b456d6a7a0dabf1b899d37a53ea4b7ed"],"state_sha256":"fd822f740f4f468d11a3c0251a06535cd6a91bfdcbc2075e2b6d01a0aed4ce0b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"urE7Djzx4JZsQxKrRtk/XpGqlL6RnWV5MQij8ta2ECcGb3QWJGgoG3UW6dYYySQIJwcmS/yM0ELXcLTnp2eACg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T22:09:34.861233Z","bundle_sha256":"80e842b2d7f474f95bd2a9157be9ad40191f668d663110d0899d9dd2fcaf7763"}}