{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:IKNP5GW5F6BTECED44WOPB4CHS","short_pith_number":"pith:IKNP5GW5","schema_version":"1.0","canonical_sha256":"429afe9add2f83320883e72ce787823cb8bd63b2a7ac4da99b766d8d4d52b0d6","source":{"kind":"arxiv","id":"1011.4867","version":2},"attestation_state":"computed","paper":{"title":"On the factorization of overlapping singularities at NNLO","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Achilleas Lazopoulos, Charalampos Anastasiou, Franz Herzog","submitted_at":"2010-11-22T16:37:10Z","abstract_excerpt":"Real and virtual corrections in NNLO QCD require multi-dimensional integrals with overlapping singularities. We first review ideas and methods which have been proposed for performing such computations. We then present a new method for the factorization of overlapping singularities based on non-linear integral transformations. We apply this method for the evaluation of all integral topologies which appear in double real radiation corrections in cross-section calculations for the production of a heavy system at hadron colliders. Finally, we demonstrate with typical examples that two-loop virtual"},"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":"1011.4867","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-11-22T16:37:10Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"df78066f93c5d1650a4630ea805b976480c7b16098ed102e450de05b423b23bf","abstract_canon_sha256":"a28af0816536b09ae876e3b7617083612e0f36d58469739b0c259c425f1c471e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:34.669586Z","signature_b64":"iB5KiKsvkpp8u6VwKHyBZLHDiI+Wp9Wmnfr+Gq8BUiylliDVL5e1uwYqOZfvijDpTACV19dhXL1244i1+i+nBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"429afe9add2f83320883e72ce787823cb8bd63b2a7ac4da99b766d8d4d52b0d6","last_reissued_at":"2026-05-18T04:26:34.669074Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:34.669074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the factorization of overlapping singularities at NNLO","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Achilleas Lazopoulos, Charalampos Anastasiou, Franz Herzog","submitted_at":"2010-11-22T16:37:10Z","abstract_excerpt":"Real and virtual corrections in NNLO QCD require multi-dimensional integrals with overlapping singularities. We first review ideas and methods which have been proposed for performing such computations. We then present a new method for the factorization of overlapping singularities based on non-linear integral transformations. We apply this method for the evaluation of all integral topologies which appear in double real radiation corrections in cross-section calculations for the production of a heavy system at hadron colliders. Finally, we demonstrate with typical examples that two-loop virtual"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4867","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1011.4867","created_at":"2026-05-18T04:26:34.669152+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.4867v2","created_at":"2026-05-18T04:26:34.669152+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4867","created_at":"2026-05-18T04:26:34.669152+00:00"},{"alias_kind":"pith_short_12","alias_value":"IKNP5GW5F6BT","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"IKNP5GW5F6BTECED","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"IKNP5GW5","created_at":"2026-05-18T12:26:09.077623+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IKNP5GW5F6BTECED44WOPB4CHS","json":"https://pith.science/pith/IKNP5GW5F6BTECED44WOPB4CHS.json","graph_json":"https://pith.science/api/pith-number/IKNP5GW5F6BTECED44WOPB4CHS/graph.json","events_json":"https://pith.science/api/pith-number/IKNP5GW5F6BTECED44WOPB4CHS/events.json","paper":"https://pith.science/paper/IKNP5GW5"},"agent_actions":{"view_html":"https://pith.science/pith/IKNP5GW5F6BTECED44WOPB4CHS","download_json":"https://pith.science/pith/IKNP5GW5F6BTECED44WOPB4CHS.json","view_paper":"https://pith.science/paper/IKNP5GW5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.4867&json=true","fetch_graph":"https://pith.science/api/pith-number/IKNP5GW5F6BTECED44WOPB4CHS/graph.json","fetch_events":"https://pith.science/api/pith-number/IKNP5GW5F6BTECED44WOPB4CHS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IKNP5GW5F6BTECED44WOPB4CHS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IKNP5GW5F6BTECED44WOPB4CHS/action/storage_attestation","attest_author":"https://pith.science/pith/IKNP5GW5F6BTECED44WOPB4CHS/action/author_attestation","sign_citation":"https://pith.science/pith/IKNP5GW5F6BTECED44WOPB4CHS/action/citation_signature","submit_replication":"https://pith.science/pith/IKNP5GW5F6BTECED44WOPB4CHS/action/replication_record"}},"created_at":"2026-05-18T04:26:34.669152+00:00","updated_at":"2026-05-18T04:26:34.669152+00:00"}