{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:WTUK3KFEKMMLIGYZDROIJYVQMT","short_pith_number":"pith:WTUK3KFE","canonical_record":{"source":{"id":"1012.5569","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-12-27T07:19:49Z","cross_cats_sorted":[],"title_canon_sha256":"e5097401db64b71c0ec0a4de3b0bb2acc92f3a2b3dfe84385cf391c2ef0ca758","abstract_canon_sha256":"59452f45a050dbd4628451030adff62d93a48216c25e14562c029d3cb2a4f51b"},"schema_version":"1.0"},"canonical_sha256":"b4e8ada8a45318b41b191c5c84e2b064e5bfe166ce4caf309eeb47b9ab267d37","source":{"kind":"arxiv","id":"1012.5569","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5569","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5569v3","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5569","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"pith_short_12","alias_value":"WTUK3KFEKMML","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WTUK3KFEKMMLIGYZ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WTUK3KFE","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:WTUK3KFEKMMLIGYZDROIJYVQMT","target":"record","payload":{"canonical_record":{"source":{"id":"1012.5569","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-12-27T07:19:49Z","cross_cats_sorted":[],"title_canon_sha256":"e5097401db64b71c0ec0a4de3b0bb2acc92f3a2b3dfe84385cf391c2ef0ca758","abstract_canon_sha256":"59452f45a050dbd4628451030adff62d93a48216c25e14562c029d3cb2a4f51b"},"schema_version":"1.0"},"canonical_sha256":"b4e8ada8a45318b41b191c5c84e2b064e5bfe166ce4caf309eeb47b9ab267d37","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:06.296855Z","signature_b64":"jDbJLX8ToO7wbrdFZhO9QhDe5qVdjeGEWEsfk/qToj2sbB1SFIxcA3GzWTzxhIWWKBktnseG9LRTMaw/ItsIDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4e8ada8a45318b41b191c5c84e2b064e5bfe166ce4caf309eeb47b9ab267d37","last_reissued_at":"2026-05-18T02:23:06.296290Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:06.296290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.5569","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:23:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WUw3k30NTw1EWqm78AGGf4wI0lsBZw92jM6ufmsehWSlT0Kp/LD+UpDmeCh4SZIXKdelOtmI20h9DVns+mjIAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:12:43.782763Z"},"content_sha256":"788a288147ea2919d5fa3344704dc0bb8ac21fc85fe8f9cba2dcaabc04e20463","schema_version":"1.0","event_id":"sha256:788a288147ea2919d5fa3344704dc0bb8ac21fc85fe8f9cba2dcaabc04e20463"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:WTUK3KFEKMMLIGYZDROIJYVQMT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Proper Eighth-Order Vacuum-Polarization Function and its Contribution to the Tenth-Order Lepton g-2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M. Hayakawa, M. Nio, T. Aoyama, T. Kinoshita","submitted_at":"2010-12-27T07:19:49Z","abstract_excerpt":"This paper reports the Feynman-parametric representation of the vacuum-polarization function consisting of 105 Feynman diagrams of the eighth order, and its contribution to the gauge-invariant set called Set I(i) of the tenth-order lepton anomalous magnetic moment. Numerical evaluation of this set is carried out using FORTRAN codes generated by an automatic code generation system gencodevpN developed specifically for this purpose. The contribution of diagrams containing electron loop to the electron g-2 is 0.017 47 (11) (alpha/pi)^5. The contribution of diagrams containing muon loop is 0.000 0"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5569","kind":"arxiv","version":3},"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":"2026-05-18T02:23:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ca8iIFLySzMrFQaMWerx3pVB//JczCjEpl+udpb4tBtKY04jzhPopG2i7BcGxfvRfJVBcH4cld2Dz1LaUO8rDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T06:12:43.783397Z"},"content_sha256":"6c87d1fb64e8e8d457ba7a8b88d17c07fde6a5b4f902b8af8549a7b95dfa58c9","schema_version":"1.0","event_id":"sha256:6c87d1fb64e8e8d457ba7a8b88d17c07fde6a5b4f902b8af8549a7b95dfa58c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WTUK3KFEKMMLIGYZDROIJYVQMT/bundle.json","state_url":"https://pith.science/pith/WTUK3KFEKMMLIGYZDROIJYVQMT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WTUK3KFEKMMLIGYZDROIJYVQMT/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":"2026-06-07T06:12:43Z","links":{"resolver":"https://pith.science/pith/WTUK3KFEKMMLIGYZDROIJYVQMT","bundle":"https://pith.science/pith/WTUK3KFEKMMLIGYZDROIJYVQMT/bundle.json","state":"https://pith.science/pith/WTUK3KFEKMMLIGYZDROIJYVQMT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WTUK3KFEKMMLIGYZDROIJYVQMT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:WTUK3KFEKMMLIGYZDROIJYVQMT","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":"59452f45a050dbd4628451030adff62d93a48216c25e14562c029d3cb2a4f51b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-12-27T07:19:49Z","title_canon_sha256":"e5097401db64b71c0ec0a4de3b0bb2acc92f3a2b3dfe84385cf391c2ef0ca758"},"schema_version":"1.0","source":{"id":"1012.5569","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5569","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5569v3","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5569","created_at":"2026-05-18T02:23:06Z"},{"alias_kind":"pith_short_12","alias_value":"WTUK3KFEKMML","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"WTUK3KFEKMMLIGYZ","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"WTUK3KFE","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:6c87d1fb64e8e8d457ba7a8b88d17c07fde6a5b4f902b8af8549a7b95dfa58c9","target":"graph","created_at":"2026-05-18T02:23:06Z","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":"This paper reports the Feynman-parametric representation of the vacuum-polarization function consisting of 105 Feynman diagrams of the eighth order, and its contribution to the gauge-invariant set called Set I(i) of the tenth-order lepton anomalous magnetic moment. Numerical evaluation of this set is carried out using FORTRAN codes generated by an automatic code generation system gencodevpN developed specifically for this purpose. The contribution of diagrams containing electron loop to the electron g-2 is 0.017 47 (11) (alpha/pi)^5. The contribution of diagrams containing muon loop is 0.000 0","authors_text":"M. Hayakawa, M. Nio, T. Aoyama, T. Kinoshita","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-12-27T07:19:49Z","title":"Proper Eighth-Order Vacuum-Polarization Function and its Contribution to the Tenth-Order Lepton g-2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5569","kind":"arxiv","version":3},"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":"sha256:788a288147ea2919d5fa3344704dc0bb8ac21fc85fe8f9cba2dcaabc04e20463","target":"record","created_at":"2026-05-18T02:23:06Z","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":"59452f45a050dbd4628451030adff62d93a48216c25e14562c029d3cb2a4f51b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-12-27T07:19:49Z","title_canon_sha256":"e5097401db64b71c0ec0a4de3b0bb2acc92f3a2b3dfe84385cf391c2ef0ca758"},"schema_version":"1.0","source":{"id":"1012.5569","kind":"arxiv","version":3}},"canonical_sha256":"b4e8ada8a45318b41b191c5c84e2b064e5bfe166ce4caf309eeb47b9ab267d37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4e8ada8a45318b41b191c5c84e2b064e5bfe166ce4caf309eeb47b9ab267d37","first_computed_at":"2026-05-18T02:23:06.296290Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:06.296290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jDbJLX8ToO7wbrdFZhO9QhDe5qVdjeGEWEsfk/qToj2sbB1SFIxcA3GzWTzxhIWWKBktnseG9LRTMaw/ItsIDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:06.296855Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.5569","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:788a288147ea2919d5fa3344704dc0bb8ac21fc85fe8f9cba2dcaabc04e20463","sha256:6c87d1fb64e8e8d457ba7a8b88d17c07fde6a5b4f902b8af8549a7b95dfa58c9"],"state_sha256":"d8139c19bf0524ef225776bdcf350d077dd404bced8ddbc4615800ee286c24da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+PW+MLPBNSWWVUVI4igGd6rfUXsCmjK9P/odWXFKP/CA/l/xdThpc6JgKV+nsRollCGLTUt2KytgWZWjUfuNCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T06:12:43.786758Z","bundle_sha256":"f67b146a50f666892c86b6c7d6b75521106f6695bd32dc2232ecee529fa56796"}}