{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:IDZP2RTN6RWKKO5KUNCDZAE7BP","short_pith_number":"pith:IDZP2RTN","canonical_record":{"source":{"id":"1012.5537","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2010-12-23T11:54:36Z","cross_cats_sorted":[],"title_canon_sha256":"1044ab2d8a421d6468ed73e3971a12d37351a348d0280f3bf2bdabc3c859302b","abstract_canon_sha256":"0e870e6bba5d05d09d9e1bc11fcf01b5015366e83305cb2ad1c59f8908affb25"},"schema_version":"1.0"},"canonical_sha256":"40f2fd466df46ca53baaa3443c809f0bc92cc745a3421db2da3dcf8090c7287f","source":{"kind":"arxiv","id":"1012.5537","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5537","created_at":"2026-05-18T04:32:23Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5537v1","created_at":"2026-05-18T04:32:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5537","created_at":"2026-05-18T04:32:23Z"},{"alias_kind":"pith_short_12","alias_value":"IDZP2RTN6RWK","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IDZP2RTN6RWKKO5K","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IDZP2RTN","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:IDZP2RTN6RWKKO5KUNCDZAE7BP","target":"record","payload":{"canonical_record":{"source":{"id":"1012.5537","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2010-12-23T11:54:36Z","cross_cats_sorted":[],"title_canon_sha256":"1044ab2d8a421d6468ed73e3971a12d37351a348d0280f3bf2bdabc3c859302b","abstract_canon_sha256":"0e870e6bba5d05d09d9e1bc11fcf01b5015366e83305cb2ad1c59f8908affb25"},"schema_version":"1.0"},"canonical_sha256":"40f2fd466df46ca53baaa3443c809f0bc92cc745a3421db2da3dcf8090c7287f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:23.107459Z","signature_b64":"rrKWYoDS2Zs277I4043XA1LYE1UnTcMFQRlkmNr6EfA9ickgGQg8SSYt6EcgoYm4qpOnKgQwlnIpI5yNpoEuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40f2fd466df46ca53baaa3443c809f0bc92cc745a3421db2da3dcf8090c7287f","last_reissued_at":"2026-05-18T04:32:23.106614Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:23.106614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.5537","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":"2026-05-18T04:32:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qkrFeum2JHUjqVm+jumskSJOFqzlbu2zFSr7mfgF9R4A1ZtEls5Xm4NkVxW+pR2BiN32XuWHKveUTxQLYvcZCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T04:22:48.867246Z"},"content_sha256":"adc4443b6a576316f771a6951d0ea5ef16e80889df83110076c689a0138f5f12","schema_version":"1.0","event_id":"sha256:adc4443b6a576316f771a6951d0ea5ef16e80889df83110076c689a0138f5f12"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:IDZP2RTN6RWKKO5KUNCDZAE7BP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Aspectual Principle, Benford's Law and Russell's Paradox","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Victor P. Novikov","submitted_at":"2010-12-23T11:54:36Z","abstract_excerpt":"In the present article Benford's law and Russell's paradox are explained by means of Aspectual Principle"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5537","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":"2026-05-18T04:32:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W282iPuVCVUF5Ysf6y5F6ITopyfJZlEhUs/YQrAnfFnQcfUipC69HawmkwbqUG93poB+2coqPrid20vKe5tLDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T04:22:48.867776Z"},"content_sha256":"704185dc7bc4adcec8b75cee303e8e970238d3450454a751dfb5ab9fbeef0d65","schema_version":"1.0","event_id":"sha256:704185dc7bc4adcec8b75cee303e8e970238d3450454a751dfb5ab9fbeef0d65"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IDZP2RTN6RWKKO5KUNCDZAE7BP/bundle.json","state_url":"https://pith.science/pith/IDZP2RTN6RWKKO5KUNCDZAE7BP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IDZP2RTN6RWKKO5KUNCDZAE7BP/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":"2026-08-20T04:22:48Z","links":{"resolver":"https://pith.science/pith/IDZP2RTN6RWKKO5KUNCDZAE7BP","bundle":"https://pith.science/pith/IDZP2RTN6RWKKO5KUNCDZAE7BP/bundle.json","state":"https://pith.science/pith/IDZP2RTN6RWKKO5KUNCDZAE7BP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IDZP2RTN6RWKKO5KUNCDZAE7BP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:IDZP2RTN6RWKKO5KUNCDZAE7BP","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":"0e870e6bba5d05d09d9e1bc11fcf01b5015366e83305cb2ad1c59f8908affb25","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2010-12-23T11:54:36Z","title_canon_sha256":"1044ab2d8a421d6468ed73e3971a12d37351a348d0280f3bf2bdabc3c859302b"},"schema_version":"1.0","source":{"id":"1012.5537","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5537","created_at":"2026-05-18T04:32:23Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5537v1","created_at":"2026-05-18T04:32:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5537","created_at":"2026-05-18T04:32:23Z"},{"alias_kind":"pith_short_12","alias_value":"IDZP2RTN6RWK","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IDZP2RTN6RWKKO5K","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IDZP2RTN","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:704185dc7bc4adcec8b75cee303e8e970238d3450454a751dfb5ab9fbeef0d65","target":"graph","created_at":"2026-05-18T04:32:23Z","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":"In the present article Benford's law and Russell's paradox are explained by means of Aspectual Principle","authors_text":"Victor P. Novikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2010-12-23T11:54:36Z","title":"Aspectual Principle, Benford's Law and Russell's Paradox"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5537","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:adc4443b6a576316f771a6951d0ea5ef16e80889df83110076c689a0138f5f12","target":"record","created_at":"2026-05-18T04:32:23Z","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":"0e870e6bba5d05d09d9e1bc11fcf01b5015366e83305cb2ad1c59f8908affb25","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2010-12-23T11:54:36Z","title_canon_sha256":"1044ab2d8a421d6468ed73e3971a12d37351a348d0280f3bf2bdabc3c859302b"},"schema_version":"1.0","source":{"id":"1012.5537","kind":"arxiv","version":1}},"canonical_sha256":"40f2fd466df46ca53baaa3443c809f0bc92cc745a3421db2da3dcf8090c7287f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40f2fd466df46ca53baaa3443c809f0bc92cc745a3421db2da3dcf8090c7287f","first_computed_at":"2026-05-18T04:32:23.106614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:23.106614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rrKWYoDS2Zs277I4043XA1LYE1UnTcMFQRlkmNr6EfA9ickgGQg8SSYt6EcgoYm4qpOnKgQwlnIpI5yNpoEuDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:23.107459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.5537","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:adc4443b6a576316f771a6951d0ea5ef16e80889df83110076c689a0138f5f12","sha256:704185dc7bc4adcec8b75cee303e8e970238d3450454a751dfb5ab9fbeef0d65"],"state_sha256":"8735a34b7622609160a696e9c6f1717dccb303c7e50af0e15ab42323bb8b0bea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lpxX/l6sYYwOndGI4lDsNZGhdPn9uiy2bjX4AqihxNU6ygbcx8jBMHn01T7Q8ibx265UDgxNNqeodicR1Ak+Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T04:22:48.872619Z","bundle_sha256":"713567406f525f311b0a98df16ab4fe19d8e552b2bfab8abc5f58dd1d3447a85"}}