{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CI35Q7YJOBU7V4UUFFQYBQUP6K","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":"dcee209293816167a759444eb2f87cb25dfc623626a6a3280a73869aaff69b31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-10-07T04:35:36Z","title_canon_sha256":"aa0b0a71f78c5babb12a1623e3e43376c1311dc816b7bb88dc2b43715ed23133"},"schema_version":"1.0","source":{"id":"1010.1334","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1334","created_at":"2026-05-18T04:27:35Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1334v1","created_at":"2026-05-18T04:27:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1334","created_at":"2026-05-18T04:27:35Z"},{"alias_kind":"pith_short_12","alias_value":"CI35Q7YJOBU7","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CI35Q7YJOBU7V4UU","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CI35Q7YJ","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:e0b824601599997f09f10a5ce9982425ad33de385473b21a6ab95a86beda063b","target":"graph","created_at":"2026-05-18T04:27:35Z","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":"We evaluate analytically higher terms of the epsilon-expansion of the three-loop master integrals corresponding to three-loop quark and gluon form factors and to the three-loop master integrals contributing to the electron g-2 in QED up to the transcendentality weight typical to four-loop calculations, i.e. eight and seven, respectively. The calculation is based on a combination of a method recently suggested by one of the authors (R.L.) with other techniques: sector decomposition implemented in FIESTA, the method of Mellin--Barnes representation, and the PSLQ algorithm.","authors_text":"R.N. Lee, V.A. Smirnov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-10-07T04:35:36Z","title":"Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1334","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":"sha256:668146b3d4b3f76222b873248c67b06eb777a0aa49c27fc6af36bfaeeae0d457","target":"record","created_at":"2026-05-18T04:27:35Z","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":"dcee209293816167a759444eb2f87cb25dfc623626a6a3280a73869aaff69b31","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-10-07T04:35:36Z","title_canon_sha256":"aa0b0a71f78c5babb12a1623e3e43376c1311dc816b7bb88dc2b43715ed23133"},"schema_version":"1.0","source":{"id":"1010.1334","kind":"arxiv","version":1}},"canonical_sha256":"1237d87f097069faf294296180c28ff2bff9426c6fe5b9d2079d2e09c3792f1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1237d87f097069faf294296180c28ff2bff9426c6fe5b9d2079d2e09c3792f1c","first_computed_at":"2026-05-18T04:27:35.657623Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:27:35.657623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UYxw41DjbMgViZot2f+KuPGT1zsHvEU77XM8XnNU6m7RlrIl4Adya0eymKnO7xfjF4+MLU/iCqwjXd32Dm/1AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:27:35.658299Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.1334","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:668146b3d4b3f76222b873248c67b06eb777a0aa49c27fc6af36bfaeeae0d457","sha256:e0b824601599997f09f10a5ce9982425ad33de385473b21a6ab95a86beda063b"],"state_sha256":"f83e574691055dad6cc652c1839b8972690406b87e56caf6a1d45c3f28540d4f"}