{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TWPSZB2W5YV6VQHPUX3GAJUGZE","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":"f0417c003d277d640ff7038a8c1563129e13ae806806a7e63fa4e4cff63f441f","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-15T12:37:04Z","title_canon_sha256":"b367b7eac518284f7fb7cb6b0e293e599988d1a68a2fe291a908f072558c64a1"},"schema_version":"1.0","source":{"id":"1510.04504","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04504","created_at":"2026-05-18T01:30:06Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04504v1","created_at":"2026-05-18T01:30:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04504","created_at":"2026-05-18T01:30:06Z"},{"alias_kind":"pith_short_12","alias_value":"TWPSZB2W5YV6","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TWPSZB2W5YV6VQHP","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TWPSZB2W","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:66fef02200a2ac8eec5f6c1eb6ab9c4cba80e21e23ebd106ce874c6d021a67d9","target":"graph","created_at":"2026-05-18T01:30:06Z","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":"We present splitting functions in the triple collinear limit at next-to-leading order in the strong coupling. We performed the computation in the context of massless QCD+QED, and consider first collinear processes which include at least one photon. The IR divergent structure of the multi-partonic splitting functions agrees with the Catani's formula. Consistency checks based on symmetry arguments have been implemented and results for different configurations have been cross-checked. Studying photon-started processes, we obtained very compact results: this allowed us to simplify the expressions ","authors_text":"Daniel de Florian, German F. R. Sborlini, German Rodrigo","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-15T12:37:04Z","title":"Higher-order QCD corrections to triple collinear splitting functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04504","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":"sha256:64ab7b608eeac4b739684ebda2b7873fa9f16a3781389889b58f5bb4b05ea919","target":"record","created_at":"2026-05-18T01:30:06Z","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":"f0417c003d277d640ff7038a8c1563129e13ae806806a7e63fa4e4cff63f441f","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-15T12:37:04Z","title_canon_sha256":"b367b7eac518284f7fb7cb6b0e293e599988d1a68a2fe291a908f072558c64a1"},"schema_version":"1.0","source":{"id":"1510.04504","kind":"arxiv","version":1}},"canonical_sha256":"9d9f2c8756ee2beac0efa5f6602686c91aaf317e927c854739f5f40f2f27b1a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d9f2c8756ee2beac0efa5f6602686c91aaf317e927c854739f5f40f2f27b1a2","first_computed_at":"2026-05-18T01:30:06.947864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:06.947864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fhi4CvgI3B54z/HK3YF7qE3dl4JyjO1xELiif/ZqA8kmwCByRM4L/8S9ZlgdUUlPAnghopmifdxBken6nwivCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:06.948390Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.04504","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64ab7b608eeac4b739684ebda2b7873fa9f16a3781389889b58f5bb4b05ea919","sha256:66fef02200a2ac8eec5f6c1eb6ab9c4cba80e21e23ebd106ce874c6d021a67d9"],"state_sha256":"f543ae60b21138b8ed5a3273d958a248ccb1454348a1db3fc37098791f85c60d"}