{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:MKUBPZXPWRICXWIO3W3U4DRWLA","short_pith_number":"pith:MKUBPZXP","schema_version":"1.0","canonical_sha256":"62a817e6efb4502bd90eddb74e0e36580f5783bdc0a757eab1670493a903d0a6","source":{"kind":"arxiv","id":"2408.03019","version":1},"attestation_state":"computed","paper":{"title":"Splitting amplitudes at N$^3$LO in QCD","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Adi Suresh, Bernhard Mistlberger, Franz Herzog, Xin Guan, Yao Ma","submitted_at":"2024-08-06T08:02:20Z","abstract_excerpt":"In the limit where partons become collinear to each other, scattering amplitudes factorize into a product of universal, process-independent building blocks and scattering amplitudes involving fewer partons. We compute these universal building blocks -- known as splitting amplitudes -- for two collinear QCD partons up to third loop order in QCD. Our results describe arbitrary time-like splitting processes. Due to the violation of strict collinear factorization in space-like splitting processes, we specifically present space-like splitting amplitudes for three-parton QCD scattering amplitudes at"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2408.03019","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-08-06T08:02:20Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b55d784eca3642b180ea4d06fa220e6dd63034b907ad4d25d6ef7c6b317792e0","abstract_canon_sha256":"e1ac722002e46fcac5e272a90d818fe74ecb658de47ba8aa58bc7b5e8070d0aa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:52:44.377347Z","signature_b64":"L23+oEKmZAw91iZIwC54NWVTuEZy/OmAC4i3S27v88/0UYYgOQhbd5JAXrOAC2hitbeRgVy/QXWWFoVnqsoIAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62a817e6efb4502bd90eddb74e0e36580f5783bdc0a757eab1670493a903d0a6","last_reissued_at":"2026-07-05T08:52:44.376932Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:52:44.376932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Splitting amplitudes at N$^3$LO in QCD","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Adi Suresh, Bernhard Mistlberger, Franz Herzog, Xin Guan, Yao Ma","submitted_at":"2024-08-06T08:02:20Z","abstract_excerpt":"In the limit where partons become collinear to each other, scattering amplitudes factorize into a product of universal, process-independent building blocks and scattering amplitudes involving fewer partons. We compute these universal building blocks -- known as splitting amplitudes -- for two collinear QCD partons up to third loop order in QCD. Our results describe arbitrary time-like splitting processes. Due to the violation of strict collinear factorization in space-like splitting processes, we specifically present space-like splitting amplitudes for three-parton QCD scattering amplitudes at"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.03019","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/2408.03019/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2408.03019","created_at":"2026-07-05T08:52:44.376992+00:00"},{"alias_kind":"arxiv_version","alias_value":"2408.03019v1","created_at":"2026-07-05T08:52:44.376992+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.03019","created_at":"2026-07-05T08:52:44.376992+00:00"},{"alias_kind":"pith_short_12","alias_value":"MKUBPZXPWRIC","created_at":"2026-07-05T08:52:44.376992+00:00"},{"alias_kind":"pith_short_16","alias_value":"MKUBPZXPWRICXWIO","created_at":"2026-07-05T08:52:44.376992+00:00"},{"alias_kind":"pith_short_8","alias_value":"MKUBPZXP","created_at":"2026-07-05T08:52:44.376992+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.05880","citing_title":"Top-associated Higgs-boson production using perturbative fragmentation functions at next-to-leading-order","ref_index":51,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05880","citing_title":"Top-associated Higgs-boson production using perturbative fragmentation functions at next-to-leading-order","ref_index":50,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MKUBPZXPWRICXWIO3W3U4DRWLA","json":"https://pith.science/pith/MKUBPZXPWRICXWIO3W3U4DRWLA.json","graph_json":"https://pith.science/api/pith-number/MKUBPZXPWRICXWIO3W3U4DRWLA/graph.json","events_json":"https://pith.science/api/pith-number/MKUBPZXPWRICXWIO3W3U4DRWLA/events.json","paper":"https://pith.science/paper/MKUBPZXP"},"agent_actions":{"view_html":"https://pith.science/pith/MKUBPZXPWRICXWIO3W3U4DRWLA","download_json":"https://pith.science/pith/MKUBPZXPWRICXWIO3W3U4DRWLA.json","view_paper":"https://pith.science/paper/MKUBPZXP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2408.03019&json=true","fetch_graph":"https://pith.science/api/pith-number/MKUBPZXPWRICXWIO3W3U4DRWLA/graph.json","fetch_events":"https://pith.science/api/pith-number/MKUBPZXPWRICXWIO3W3U4DRWLA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MKUBPZXPWRICXWIO3W3U4DRWLA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MKUBPZXPWRICXWIO3W3U4DRWLA/action/storage_attestation","attest_author":"https://pith.science/pith/MKUBPZXPWRICXWIO3W3U4DRWLA/action/author_attestation","sign_citation":"https://pith.science/pith/MKUBPZXPWRICXWIO3W3U4DRWLA/action/citation_signature","submit_replication":"https://pith.science/pith/MKUBPZXPWRICXWIO3W3U4DRWLA/action/replication_record"}},"created_at":"2026-07-05T08:52:44.376992+00:00","updated_at":"2026-07-05T08:52:44.376992+00:00"}