{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:AJ6JNYTXZGCLQNK3FOAVXBYJNR","short_pith_number":"pith:AJ6JNYTX","canonical_record":{"source":{"id":"1412.6988","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-12-22T14:17:42Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"1afd0b8d1247cedd999f2c469436e0048c73920efa969cb504850a86a2bec92c","abstract_canon_sha256":"f38da4d3e1262d6154cd5b3c8c7d41d9652c4918e46ea62e15f2ead8c8ea4496"},"schema_version":"1.0"},"canonical_sha256":"027c96e277c984b8355b2b815b87096c465914db4f3d913f7c4c7c8bb81f6cb9","source":{"kind":"arxiv","id":"1412.6988","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6988","created_at":"2026-05-18T02:30:45Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6988v1","created_at":"2026-05-18T02:30:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6988","created_at":"2026-05-18T02:30:45Z"},{"alias_kind":"pith_short_12","alias_value":"AJ6JNYTXZGCL","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AJ6JNYTXZGCLQNK3","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AJ6JNYTX","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:AJ6JNYTXZGCLQNK3FOAVXBYJNR","target":"record","payload":{"canonical_record":{"source":{"id":"1412.6988","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-12-22T14:17:42Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"1afd0b8d1247cedd999f2c469436e0048c73920efa969cb504850a86a2bec92c","abstract_canon_sha256":"f38da4d3e1262d6154cd5b3c8c7d41d9652c4918e46ea62e15f2ead8c8ea4496"},"schema_version":"1.0"},"canonical_sha256":"027c96e277c984b8355b2b815b87096c465914db4f3d913f7c4c7c8bb81f6cb9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:45.829412Z","signature_b64":"GzvgByfIXg6oC6JxWLbsRAUftHdT/3gkj8zIA9YEW0BGQV7r2vZD8PVWTsfOP85ihL1NGpk8NcqZzq0HUTOHAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"027c96e277c984b8355b2b815b87096c465914db4f3d913f7c4c7c8bb81f6cb9","last_reissued_at":"2026-05-18T02:30:45.829010Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:45.829010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.6988","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":"2026-05-18T02:30:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VFjH+t1GpoIKVGf+h18BHQZi9yQwWafFJdqT8Y8+giJ+rf9l8eNANBImxIG38RkvZeXzlY1kDHnVs4CX/bWOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T15:55:34.312710Z"},"content_sha256":"e460ccf2675ded35425a7eda301b96091f874ac660447b47ca478d4cc9a4777b","schema_version":"1.0","event_id":"sha256:e460ccf2675ded35425a7eda301b96091f874ac660447b47ca478d4cc9a4777b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:AJ6JNYTXZGCLQNK3FOAVXBYJNR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal test for Hippocratic randomness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Hayato Takahashi","submitted_at":"2014-12-22T14:17:42Z","abstract_excerpt":"Hippocratic randomness is defined in a similar way to Martin-Lof randomness, however it does not assume computability of the probability and the existence of universal test is not assured. We introduce the notion of approximation of probability and show the existence of the universal test (Levin-Schnorr theorem) for Hippocratic randomness when the logarithm of the probability is approximated within additive constant."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6988","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":"2026-05-18T02:30:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+JY6YxgMF1NYTnsP6xh9vmW8UDkZdPhgRtpFArGt7XXpyTARimzRR5jYOLpLjfiHQk+cD7dRO2TOvTy9L7Y0CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T15:55:34.313054Z"},"content_sha256":"a00e1a28fd78c9afdd6f2dfefbf9f2c41f0a40aab192b2a130757255f4c66e01","schema_version":"1.0","event_id":"sha256:a00e1a28fd78c9afdd6f2dfefbf9f2c41f0a40aab192b2a130757255f4c66e01"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AJ6JNYTXZGCLQNK3FOAVXBYJNR/bundle.json","state_url":"https://pith.science/pith/AJ6JNYTXZGCLQNK3FOAVXBYJNR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AJ6JNYTXZGCLQNK3FOAVXBYJNR/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":"2026-07-04T15:55:34Z","links":{"resolver":"https://pith.science/pith/AJ6JNYTXZGCLQNK3FOAVXBYJNR","bundle":"https://pith.science/pith/AJ6JNYTXZGCLQNK3FOAVXBYJNR/bundle.json","state":"https://pith.science/pith/AJ6JNYTXZGCLQNK3FOAVXBYJNR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AJ6JNYTXZGCLQNK3FOAVXBYJNR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:AJ6JNYTXZGCLQNK3FOAVXBYJNR","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":"f38da4d3e1262d6154cd5b3c8c7d41d9652c4918e46ea62e15f2ead8c8ea4496","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-12-22T14:17:42Z","title_canon_sha256":"1afd0b8d1247cedd999f2c469436e0048c73920efa969cb504850a86a2bec92c"},"schema_version":"1.0","source":{"id":"1412.6988","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.6988","created_at":"2026-05-18T02:30:45Z"},{"alias_kind":"arxiv_version","alias_value":"1412.6988v1","created_at":"2026-05-18T02:30:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6988","created_at":"2026-05-18T02:30:45Z"},{"alias_kind":"pith_short_12","alias_value":"AJ6JNYTXZGCL","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AJ6JNYTXZGCLQNK3","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AJ6JNYTX","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:a00e1a28fd78c9afdd6f2dfefbf9f2c41f0a40aab192b2a130757255f4c66e01","target":"graph","created_at":"2026-05-18T02:30:45Z","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":"Hippocratic randomness is defined in a similar way to Martin-Lof randomness, however it does not assume computability of the probability and the existence of universal test is not assured. We introduce the notion of approximation of probability and show the existence of the universal test (Levin-Schnorr theorem) for Hippocratic randomness when the logarithm of the probability is approximated within additive constant.","authors_text":"Hayato Takahashi","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-12-22T14:17:42Z","title":"Universal test for Hippocratic randomness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6988","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:e460ccf2675ded35425a7eda301b96091f874ac660447b47ca478d4cc9a4777b","target":"record","created_at":"2026-05-18T02:30:45Z","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":"f38da4d3e1262d6154cd5b3c8c7d41d9652c4918e46ea62e15f2ead8c8ea4496","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-12-22T14:17:42Z","title_canon_sha256":"1afd0b8d1247cedd999f2c469436e0048c73920efa969cb504850a86a2bec92c"},"schema_version":"1.0","source":{"id":"1412.6988","kind":"arxiv","version":1}},"canonical_sha256":"027c96e277c984b8355b2b815b87096c465914db4f3d913f7c4c7c8bb81f6cb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"027c96e277c984b8355b2b815b87096c465914db4f3d913f7c4c7c8bb81f6cb9","first_computed_at":"2026-05-18T02:30:45.829010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:45.829010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GzvgByfIXg6oC6JxWLbsRAUftHdT/3gkj8zIA9YEW0BGQV7r2vZD8PVWTsfOP85ihL1NGpk8NcqZzq0HUTOHAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:45.829412Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.6988","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e460ccf2675ded35425a7eda301b96091f874ac660447b47ca478d4cc9a4777b","sha256:a00e1a28fd78c9afdd6f2dfefbf9f2c41f0a40aab192b2a130757255f4c66e01"],"state_sha256":"206313bb87f81f80952c5924f806f3919103ffbf306cc6532aa9e79bd931e80a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ogzwNH9K23EOW51YV5gPLQ+W+83z0lDt/EWdZrJHcwygYqnujgNOt7pCr4xXoITyMBel8nsG/Ynl8eGEx7XoCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T15:55:34.314964Z","bundle_sha256":"50c7720300906255fbcb98b4425d7b5c5c12e2cd7c41b6f443a1503e2842e087"}}