{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:A2HKDCY4GDNUWAS7R7BE2DDKDY","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":"75d1e5c05b4e3f6c4a1a291cf2b1c29937f84cb61a75e4b4c2b78978cbccce3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-01-17T11:00:10Z","title_canon_sha256":"3c02440b848c16582bd52750a97823a3c2c1351a60fbe05c84e6a317d0ea822d"},"schema_version":"1.0","source":{"id":"1001.2887","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.2887","created_at":"2026-05-18T02:24:45Z"},{"alias_kind":"arxiv_version","alias_value":"1001.2887v2","created_at":"2026-05-18T02:24:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.2887","created_at":"2026-05-18T02:24:45Z"},{"alias_kind":"pith_short_12","alias_value":"A2HKDCY4GDNU","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"A2HKDCY4GDNUWAS7","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"A2HKDCY4","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:f628e747d01040ed0c9835ae1479ae35ea8f90f26689a1f28a409d570aaddbef","target":"graph","created_at":"2026-05-18T02:24:45Z","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":"We evaluate, exactly in d, the master integrals contributing to massless three-loop QCD form factors. 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. Using our results for the master integrals we obtain analytical expressions for two missing constants in the ep-expansion of the two most complicated master integrals and present the form factors in a completely analytic form.","authors_text":"A.V. Smirnov, R.N. Lee, V.A. Smirnov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-01-17T11:00:10Z","title":"Analytic Results for Massless Three-Loop Form Factors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.2887","kind":"arxiv","version":2},"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:ab106b602dacf7fb37cb06dab0d36d248725f38809ecfe2beb09c6a68a7289a5","target":"record","created_at":"2026-05-18T02:24:45Z","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":"75d1e5c05b4e3f6c4a1a291cf2b1c29937f84cb61a75e4b4c2b78978cbccce3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-01-17T11:00:10Z","title_canon_sha256":"3c02440b848c16582bd52750a97823a3c2c1351a60fbe05c84e6a317d0ea822d"},"schema_version":"1.0","source":{"id":"1001.2887","kind":"arxiv","version":2}},"canonical_sha256":"068ea18b1c30db4b025f8fc24d0c6a1e047e3a3150e4494f59fa1703df6c6db0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"068ea18b1c30db4b025f8fc24d0c6a1e047e3a3150e4494f59fa1703df6c6db0","first_computed_at":"2026-05-18T02:24:45.030939Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:45.030939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kWztx8MgNPRYWvxH8ETWfFoOXz58C3zGIlPjD2o+06cI9PREh5NaRlxT0czwOsh3+EuDSZenskSIircIj1E+CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:45.031415Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.2887","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab106b602dacf7fb37cb06dab0d36d248725f38809ecfe2beb09c6a68a7289a5","sha256:f628e747d01040ed0c9835ae1479ae35ea8f90f26689a1f28a409d570aaddbef"],"state_sha256":"fee3c67ddc978959b838e900cd2c3e0cc7b37d53b414b48836dbd0168135843d"}