{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZUDYQOT7NRLIUZIPA35ROGCOD3","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":"2e5879d00cee31f12a131dc8336eea02d8bb7d799787287ad542c0edbd9bdf48","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-11-14T18:17:33Z","title_canon_sha256":"8b83b1e9790ddad75b31889ad464426e92b200eda0cd0f9177a02b01c497dbc2"},"schema_version":"1.0","source":{"id":"2511.11537","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.11537","created_at":"2026-05-17T23:39:00Z"},{"alias_kind":"arxiv_version","alias_value":"2511.11537v2","created_at":"2026-05-17T23:39:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.11537","created_at":"2026-05-17T23:39:00Z"},{"alias_kind":"pith_short_12","alias_value":"ZUDYQOT7NRLI","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"ZUDYQOT7NRLIUZIP","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"ZUDYQOT7","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:62e80c4c4caf601ed4ab143165f0a46193da0b8fc24a1468882c9180c4a8161b","target":"graph","created_at":"2026-05-17T23:39:00Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We present the two-loop amplitudes for a self-dual Higgs boson with up to four positive helicity gluons in the heavy top-quark limit... The final expressions are presented using polylogarithms up to weight two and compact rational functions of spinor-helicity products."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"Because the tree amplitudes in the all-plus sector vanish, we can construct simple representations of the polylogarithmic parts of the two-loop amplitudes using four-dimensional unitarity cuts into rational one-loop and tree amplitudes."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Two-loop all-plus helicity amplitudes for self-dual Higgs plus gluons are obtained via four-dimensional unitarity cuts into one-loop and tree amplitudes plus finite-field tensor reduction."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Two-loop amplitudes for self-dual Higgs with positive helicity gluons are computed via unitarity cut constraints."}],"snapshot_sha256":"f8266e3696dbf350a7592e885604e6c06dac0a4a5f837f02deea473f3fd8dea1"},"formal_canon":{"evidence_count":1,"snapshot_sha256":"e705e782a8372164020fe81a5cd73a91cf3e2dca636754b46d0078dd37cd78ab"},"paper":{"abstract_excerpt":"We present the two-loop amplitudes for a self-dual Higgs boson with up to four positive helicity gluons in the heavy top-quark limit. Because the tree amplitudes in the all-plus sector vanish, we can construct simple representations of the polylogarithmic parts of the two-loop amplitudes using four-dimensional unitarity cuts into rational one-loop and tree amplitudes. The remaining rational function ambiguity is extracted from a tensor integral reduction over finite fields. The final expressions are presented using polylogarithms up to weight two and compact rational functions of spinor-helici","authors_text":"Christian Biello, Colomba Brancaccio, Federico Ripani, Simon Badger","cross_cats":["hep-th"],"headline":"Two-loop amplitudes for self-dual Higgs with positive helicity gluons are computed via unitarity cut constraints.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-11-14T18:17:33Z","title":"Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints"},"references":{"count":121,"internal_anchors":40,"resolved_work":121,"sample":[{"cited_arxiv_id":"hep-th/0411092","doi":"","is_internal_anchor":true,"ref_index":1,"title":"MHV Rules for Higgs Plus Multi-Gluon Amplitudes","work_id":"f6f30c82-9ad7-4780-ae18-1986af46cca4","year":2004},{"cited_arxiv_id":"hep-ph/0607139","doi":"","is_internal_anchor":true,"ref_index":2,"title":"One-loop helicity amplitudes for H -> gluons: the all-minus configuration","work_id":"4112c204-1b53-460b-bd5e-fe8a89170ecd","year":2006},{"cited_arxiv_id":"hep-ph/0608180","doi":"","is_internal_anchor":true,"ref_index":3,"title":"Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes","work_id":"3492ed77-c5cd-46b9-aa48-17471ba5cee9","year":2006},{"cited_arxiv_id":"0704.3914","doi":"","is_internal_anchor":true,"ref_index":4,"title":"One-loop phi-MHV amplitudes using the unitarity bootstrap","work_id":"a581019b-89de-4439-b689-fc848437f9cc","year":2007},{"cited_arxiv_id":"0909.4475","doi":"","is_internal_anchor":true,"ref_index":5,"title":"One-loop Higgs plus four gluon amplitudes: Full analytic results","work_id":"aa0125e0-046a-4671-b1fd-542f106ac2e3","year":2010}],"snapshot_sha256":"06e3b5767982c5e18812a353668075b8f118ed9f7e068023f544288cf88764b4"},"source":{"id":"2511.11537","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-17T21:56:58.501115Z","id":"37bc04d7-3385-4034-8f42-5700fefe23ba","model_set":{"reader":"grok-4.3"},"one_line_summary":"Two-loop all-plus helicity amplitudes for self-dual Higgs plus gluons are obtained via four-dimensional unitarity cuts into one-loop and tree amplitudes plus finite-field tensor reduction.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Two-loop amplitudes for self-dual Higgs with positive helicity gluons are computed via unitarity cut constraints.","strongest_claim":"We present the two-loop amplitudes for a self-dual Higgs boson with up to four positive helicity gluons in the heavy top-quark limit... The final expressions are presented using polylogarithms up to weight two and compact rational functions of spinor-helicity products.","weakest_assumption":"Because the tree amplitudes in the all-plus sector vanish, we can construct simple representations of the polylogarithmic parts of the two-loop amplitudes using four-dimensional unitarity cuts into rational one-loop and tree amplitudes."}},"verdict_id":"37bc04d7-3385-4034-8f42-5700fefe23ba"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0b3c57d1800ebe56a069a52f6bd60c4f48f3ebc31cfdf51202d5cdd1f049509a","target":"record","created_at":"2026-05-17T23:39:00Z","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":"2e5879d00cee31f12a131dc8336eea02d8bb7d799787287ad542c0edbd9bdf48","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-11-14T18:17:33Z","title_canon_sha256":"8b83b1e9790ddad75b31889ad464426e92b200eda0cd0f9177a02b01c497dbc2"},"schema_version":"1.0","source":{"id":"2511.11537","kind":"arxiv","version":2}},"canonical_sha256":"cd07883a7f6c568a650f06fb17184e1ee245d87840d6668f1754bb73e5e5821a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd07883a7f6c568a650f06fb17184e1ee245d87840d6668f1754bb73e5e5821a","first_computed_at":"2026-05-17T23:39:00.760264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:00.760264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YalNTAdibFK3D+6fF4xplIexYuIpySndBr/YT12KYa5UipMuBoCy4LWwWhcGhSqSCXgTIR1nNBnd/iWTvho4CQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:00.760930Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.11537","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b3c57d1800ebe56a069a52f6bd60c4f48f3ebc31cfdf51202d5cdd1f049509a","sha256:62e80c4c4caf601ed4ab143165f0a46193da0b8fc24a1468882c9180c4a8161b"],"state_sha256":"1e2d0253940e9875e5e26972593c5ec28cb871f909dc518563b3f8eb1f5ce7be"}