{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:NJRQK7IFXBGU2TQQEDDZG65PWN","short_pith_number":"pith:NJRQK7IF","canonical_record":{"source":{"id":"1001.3132","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-01-18T21:18:18Z","cross_cats_sorted":[],"title_canon_sha256":"7c9f10a2875c7d92ceac55dd6697975b91abac7b9b089a7ac5af4c8a87305ceb","abstract_canon_sha256":"470cbbae531916b0b8a8223e2791cba696dc8808002e69275a02f54415047d69"},"schema_version":"1.0"},"canonical_sha256":"6a63057d05b84d4d4e1020c7937bafb36e31af71dbaf1207278bced537a16294","source":{"kind":"arxiv","id":"1001.3132","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.3132","created_at":"2026-07-04T17:19:51Z"},{"alias_kind":"arxiv_version","alias_value":"1001.3132v1","created_at":"2026-07-04T17:19:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.3132","created_at":"2026-07-04T17:19:51Z"},{"alias_kind":"pith_short_12","alias_value":"NJRQK7IFXBGU","created_at":"2026-07-04T17:19:51Z"},{"alias_kind":"pith_short_16","alias_value":"NJRQK7IFXBGU2TQQ","created_at":"2026-07-04T17:19:51Z"},{"alias_kind":"pith_short_8","alias_value":"NJRQK7IF","created_at":"2026-07-04T17:19:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:NJRQK7IFXBGU2TQQEDDZG65PWN","target":"record","payload":{"canonical_record":{"source":{"id":"1001.3132","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-01-18T21:18:18Z","cross_cats_sorted":[],"title_canon_sha256":"7c9f10a2875c7d92ceac55dd6697975b91abac7b9b089a7ac5af4c8a87305ceb","abstract_canon_sha256":"470cbbae531916b0b8a8223e2791cba696dc8808002e69275a02f54415047d69"},"schema_version":"1.0"},"canonical_sha256":"6a63057d05b84d4d4e1020c7937bafb36e31af71dbaf1207278bced537a16294","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:19:51.790108Z","signature_b64":"1RDKVlpsCcix6F57ousRHHi8vW4uHud2LdSypWTyer2AB+qTErnIDflA9756wUT/QR9y3AcCklHoQ73sFO98DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a63057d05b84d4d4e1020c7937bafb36e31af71dbaf1207278bced537a16294","last_reissued_at":"2026-07-04T17:19:51.789707Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:19:51.789707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.3132","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":"2026-07-04T17:19:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/AA5XIVT9nbUm+R21sVNC+wTLSNsTLIIei2aOxf0YX6ZuWZFh7oIENUmuWXjfaMzquqKdA/vYjPnpMW8FaWlDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-12T19:18:43.856992Z"},"content_sha256":"c85fb17510c6cfd5f50d401448e12bb0f561e55d0506e5bc5c8a7c7249d05c67","schema_version":"1.0","event_id":"sha256:c85fb17510c6cfd5f50d401448e12bb0f561e55d0506e5bc5c8a7c7249d05c67"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:NJRQK7IFXBGU2TQQEDDZG65PWN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Master integrals for massless three-loop form factors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"T. Huber","submitted_at":"2010-01-18T21:18:18Z","abstract_excerpt":"We summarize the results for the master integrals of the three-loop quark and gluon form factor in massless QCD. Working in dimensional regularization we extract poles up to 1/epsilon^6. The computational techniques involve, among others, the expansion of higher transcendental functions and the Mellin-Barnes method. The coefficients of the Laurent expansion in epsilon are given either analytically or numerically to high precision."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.3132","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1001.3132/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T17:19:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6dZQG8qPExeaDsixXg/eou99Gda8L9y3KDHVCPit91LU5bxib3QM8sStnSt0d/OoyhgSs/7dtMyyTl1NFjvZCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-12T19:18:43.857384Z"},"content_sha256":"d88771025cfebbd72d3c899c69499b15190263b3eb71d11fad591a30b30c8ae8","schema_version":"1.0","event_id":"sha256:d88771025cfebbd72d3c899c69499b15190263b3eb71d11fad591a30b30c8ae8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NJRQK7IFXBGU2TQQEDDZG65PWN/bundle.json","state_url":"https://pith.science/pith/NJRQK7IFXBGU2TQQEDDZG65PWN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NJRQK7IFXBGU2TQQEDDZG65PWN/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":"2026-07-12T19:18:43Z","links":{"resolver":"https://pith.science/pith/NJRQK7IFXBGU2TQQEDDZG65PWN","bundle":"https://pith.science/pith/NJRQK7IFXBGU2TQQEDDZG65PWN/bundle.json","state":"https://pith.science/pith/NJRQK7IFXBGU2TQQEDDZG65PWN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NJRQK7IFXBGU2TQQEDDZG65PWN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:NJRQK7IFXBGU2TQQEDDZG65PWN","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":"470cbbae531916b0b8a8223e2791cba696dc8808002e69275a02f54415047d69","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-01-18T21:18:18Z","title_canon_sha256":"7c9f10a2875c7d92ceac55dd6697975b91abac7b9b089a7ac5af4c8a87305ceb"},"schema_version":"1.0","source":{"id":"1001.3132","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.3132","created_at":"2026-07-04T17:19:51Z"},{"alias_kind":"arxiv_version","alias_value":"1001.3132v1","created_at":"2026-07-04T17:19:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.3132","created_at":"2026-07-04T17:19:51Z"},{"alias_kind":"pith_short_12","alias_value":"NJRQK7IFXBGU","created_at":"2026-07-04T17:19:51Z"},{"alias_kind":"pith_short_16","alias_value":"NJRQK7IFXBGU2TQQ","created_at":"2026-07-04T17:19:51Z"},{"alias_kind":"pith_short_8","alias_value":"NJRQK7IF","created_at":"2026-07-04T17:19:51Z"}],"graph_snapshots":[{"event_id":"sha256:d88771025cfebbd72d3c899c69499b15190263b3eb71d11fad591a30b30c8ae8","target":"graph","created_at":"2026-07-04T17:19:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1001.3132/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We summarize the results for the master integrals of the three-loop quark and gluon form factor in massless QCD. Working in dimensional regularization we extract poles up to 1/epsilon^6. The computational techniques involve, among others, the expansion of higher transcendental functions and the Mellin-Barnes method. The coefficients of the Laurent expansion in epsilon are given either analytically or numerically to high precision.","authors_text":"T. Huber","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-01-18T21:18:18Z","title":"Master integrals for massless three-loop form factors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.3132","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:c85fb17510c6cfd5f50d401448e12bb0f561e55d0506e5bc5c8a7c7249d05c67","target":"record","created_at":"2026-07-04T17:19:51Z","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":"470cbbae531916b0b8a8223e2791cba696dc8808002e69275a02f54415047d69","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-01-18T21:18:18Z","title_canon_sha256":"7c9f10a2875c7d92ceac55dd6697975b91abac7b9b089a7ac5af4c8a87305ceb"},"schema_version":"1.0","source":{"id":"1001.3132","kind":"arxiv","version":1}},"canonical_sha256":"6a63057d05b84d4d4e1020c7937bafb36e31af71dbaf1207278bced537a16294","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a63057d05b84d4d4e1020c7937bafb36e31af71dbaf1207278bced537a16294","first_computed_at":"2026-07-04T17:19:51.789707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:19:51.789707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1RDKVlpsCcix6F57ousRHHi8vW4uHud2LdSypWTyer2AB+qTErnIDflA9756wUT/QR9y3AcCklHoQ73sFO98DQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:19:51.790108Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.3132","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c85fb17510c6cfd5f50d401448e12bb0f561e55d0506e5bc5c8a7c7249d05c67","sha256:d88771025cfebbd72d3c899c69499b15190263b3eb71d11fad591a30b30c8ae8"],"state_sha256":"2e2c445684da1791bc5e74f196f3d46e0805e818dadaf1e57630886b81bbcfe5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qlY2tLQbBqzuz7amCI2l5Xp8/GI22vAZ5HtdTL43Krm5yWXf4H2dWALkVn9hft6IWkaJKCPW6QzWD/roPfvcAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-12T19:18:43.859584Z","bundle_sha256":"d99c0f208cc15b46e4325891e45fc1bdf835ae344cbaaf5013d42730ed538676"}}