{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HDT4BV5MJJ3XMLD27M6SND25TM","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":"e6911b08fbae267abbc4b24a51930ef45cc130584732d2145acf35356b6638ce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-03-18T17:12:15Z","title_canon_sha256":"091f441220dcc01d158a20700a3db4c27de513dcfbec2706b4b66e95b4b90ac1"},"schema_version":"1.0","source":{"id":"2403.11975","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.11975","created_at":"2026-07-05T07:57:34Z"},{"alias_kind":"arxiv_version","alias_value":"2403.11975v1","created_at":"2026-07-05T07:57:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.11975","created_at":"2026-07-05T07:57:34Z"},{"alias_kind":"pith_short_12","alias_value":"HDT4BV5MJJ3X","created_at":"2026-07-05T07:57:34Z"},{"alias_kind":"pith_short_16","alias_value":"HDT4BV5MJJ3XMLD2","created_at":"2026-07-05T07:57:34Z"},{"alias_kind":"pith_short_8","alias_value":"HDT4BV5M","created_at":"2026-07-05T07:57:34Z"}],"graph_snapshots":[{"event_id":"sha256:495cf46db746e6ee0f616cf04dc1c600097ceca52d9dc18ceeac843a0df88480","target":"graph","created_at":"2026-07-05T07:57:34Z","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/2403.11975/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the context of infrared subtraction algorithms beyond next-to-leading order, it becomes necessary to consider multiple infrared limits of scattering amplitudes, in which several particles become soft or collinear in a strongly-ordered sequence. We study these limits from the point of view of infrared factorisation, and we provide general definitions of strongly-ordered soft and collinear kernels in terms of gauge-invariant operator matrix elements. With these definitions in hand, it is possible to construct local subtraction counterterms for strongly-ordered configurations. Because of their","authors_text":"Calum Milloy, Chiara Signorile-Signorile, Lorenzo Magnea, Paolo Torrielli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-03-18T17:12:15Z","title":"Strongly-ordered infrared counterterms from factorisation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.11975","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:a0d1c8ba91401e8bdab584ffe77192934779e677f3e4c08107694c4592ad07c3","target":"record","created_at":"2026-07-05T07:57:34Z","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":"e6911b08fbae267abbc4b24a51930ef45cc130584732d2145acf35356b6638ce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-03-18T17:12:15Z","title_canon_sha256":"091f441220dcc01d158a20700a3db4c27de513dcfbec2706b4b66e95b4b90ac1"},"schema_version":"1.0","source":{"id":"2403.11975","kind":"arxiv","version":1}},"canonical_sha256":"38e7c0d7ac4a77762c7afb3d268f5d9b1cedd70165b7b8ee534f994638bd74fd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38e7c0d7ac4a77762c7afb3d268f5d9b1cedd70165b7b8ee534f994638bd74fd","first_computed_at":"2026-07-05T07:57:34.461130Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:57:34.461130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rko+IYmBTNBsjhLueeu6S3SwCCsUpXNTEirlXMlw0th30XZ0LqrWNkMjNhbvFY/aqe9Clvf3/GZBW8HUGImmBg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:57:34.461591Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.11975","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0d1c8ba91401e8bdab584ffe77192934779e677f3e4c08107694c4592ad07c3","sha256:495cf46db746e6ee0f616cf04dc1c600097ceca52d9dc18ceeac843a0df88480"],"state_sha256":"e5c32aca0f1d90c86b4a30d78f06c149db2eb0fe6a4b15b358194d9f74c6d4c0"}