{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:HJAXCOPI43N7MUW5B4SAL2FUHY","short_pith_number":"pith:HJAXCOPI","canonical_record":{"source":{"id":"2212.10447","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-12-20T17:23:26Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b90911d5b0025b65d9ebf4a27e90e001a8d64ef4fff4ce12ec69006418bcae64","abstract_canon_sha256":"fea5ac7a88f9f3a6305e57cb0705decd5ede2188052ea3737eff3df9458796b5"},"schema_version":"1.0"},"canonical_sha256":"3a417139e8e6dbf652dd0f2405e8b43e05d9a1b093b2306460a252acd388ba4d","source":{"kind":"arxiv","id":"2212.10447","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.10447","created_at":"2026-07-05T06:34:22Z"},{"alias_kind":"arxiv_version","alias_value":"2212.10447v2","created_at":"2026-07-05T06:34:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.10447","created_at":"2026-07-05T06:34:22Z"},{"alias_kind":"pith_short_12","alias_value":"HJAXCOPI43N7","created_at":"2026-07-05T06:34:22Z"},{"alias_kind":"pith_short_16","alias_value":"HJAXCOPI43N7MUW5","created_at":"2026-07-05T06:34:22Z"},{"alias_kind":"pith_short_8","alias_value":"HJAXCOPI","created_at":"2026-07-05T06:34:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:HJAXCOPI43N7MUW5B4SAL2FUHY","target":"record","payload":{"canonical_record":{"source":{"id":"2212.10447","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-12-20T17:23:26Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"b90911d5b0025b65d9ebf4a27e90e001a8d64ef4fff4ce12ec69006418bcae64","abstract_canon_sha256":"fea5ac7a88f9f3a6305e57cb0705decd5ede2188052ea3737eff3df9458796b5"},"schema_version":"1.0"},"canonical_sha256":"3a417139e8e6dbf652dd0f2405e8b43e05d9a1b093b2306460a252acd388ba4d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:34:22.450226Z","signature_b64":"x4GyQecTnXF9fCQVjd/hZEOCgOAanr1eAnjWDQEdNYPGU1ciElexDicFzjOjd6th9o8MkBTHP9u0YzhqRQAeBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a417139e8e6dbf652dd0f2405e8b43e05d9a1b093b2306460a252acd388ba4d","last_reissued_at":"2026-07-05T06:34:22.449761Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:34:22.449761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.10447","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:34:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/QdLztl51MHkzR95P1V3dUWDuSBSWBMxXbVwHsH80rtBXVUa2fc5EJ7AK3b0XJ99BnTAATA37lmI82s7wXBfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T20:40:47.066316Z"},"content_sha256":"8fb26c3fcb9e416a4f586507ccd1787073ef51e8d27b3306d8a5a6ab8753195b","schema_version":"1.0","event_id":"sha256:8fb26c3fcb9e416a4f586507ccd1787073ef51e8d27b3306d8a5a6ab8753195b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:HJAXCOPI43N7MUW5B4SAL2FUHY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Factorization at Next-to-Leading Power and Endpoint Divergences in $gg\\to h$ Production","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Marvin Schnubel, Matthias Neubert, Xing Wang, Ze Long Liu","submitted_at":"2022-12-20T17:23:26Z","abstract_excerpt":"We derive a factorization theorem for the Higgs-boson production amplitude in gluon-gluon fusion induced by a light-quark loop, working at next-to-leading power in soft-collinear effective theory. The factorization is structurally similar to that obtained for the $h\\to\\gamma\\gamma$ decay amplitude induced by a light-quark loop, but additional complications arise because of external color charges. We show how the refactorization-based subtraction scheme developed in previous work leads to a factorization theorem free of endpoint divergences. We use renormalization-group techniques to predict th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.10447","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2212.10447/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:34:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SHWhacGlHHWC6E8fOx+2sI4ltojvgu/rhq9/Y6OEJm17iE98ivYng/fxGRe1Fs9sIfWLrzt0W4sb0hX5PD97CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T20:40:47.068557Z"},"content_sha256":"de7cb6c10e0e9223233f8aafa6e0e6fcdf1e8a9dc9b600da75a7615bb2defad6","schema_version":"1.0","event_id":"sha256:de7cb6c10e0e9223233f8aafa6e0e6fcdf1e8a9dc9b600da75a7615bb2defad6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HJAXCOPI43N7MUW5B4SAL2FUHY/bundle.json","state_url":"https://pith.science/pith/HJAXCOPI43N7MUW5B4SAL2FUHY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HJAXCOPI43N7MUW5B4SAL2FUHY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-31T20:40:47Z","links":{"resolver":"https://pith.science/pith/HJAXCOPI43N7MUW5B4SAL2FUHY","bundle":"https://pith.science/pith/HJAXCOPI43N7MUW5B4SAL2FUHY/bundle.json","state":"https://pith.science/pith/HJAXCOPI43N7MUW5B4SAL2FUHY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HJAXCOPI43N7MUW5B4SAL2FUHY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:HJAXCOPI43N7MUW5B4SAL2FUHY","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":"fea5ac7a88f9f3a6305e57cb0705decd5ede2188052ea3737eff3df9458796b5","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-12-20T17:23:26Z","title_canon_sha256":"b90911d5b0025b65d9ebf4a27e90e001a8d64ef4fff4ce12ec69006418bcae64"},"schema_version":"1.0","source":{"id":"2212.10447","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.10447","created_at":"2026-07-05T06:34:22Z"},{"alias_kind":"arxiv_version","alias_value":"2212.10447v2","created_at":"2026-07-05T06:34:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.10447","created_at":"2026-07-05T06:34:22Z"},{"alias_kind":"pith_short_12","alias_value":"HJAXCOPI43N7","created_at":"2026-07-05T06:34:22Z"},{"alias_kind":"pith_short_16","alias_value":"HJAXCOPI43N7MUW5","created_at":"2026-07-05T06:34:22Z"},{"alias_kind":"pith_short_8","alias_value":"HJAXCOPI","created_at":"2026-07-05T06:34:22Z"}],"graph_snapshots":[{"event_id":"sha256:de7cb6c10e0e9223233f8aafa6e0e6fcdf1e8a9dc9b600da75a7615bb2defad6","target":"graph","created_at":"2026-07-05T06:34:22Z","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/2212.10447/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive a factorization theorem for the Higgs-boson production amplitude in gluon-gluon fusion induced by a light-quark loop, working at next-to-leading power in soft-collinear effective theory. The factorization is structurally similar to that obtained for the $h\\to\\gamma\\gamma$ decay amplitude induced by a light-quark loop, but additional complications arise because of external color charges. We show how the refactorization-based subtraction scheme developed in previous work leads to a factorization theorem free of endpoint divergences. We use renormalization-group techniques to predict th","authors_text":"Marvin Schnubel, Matthias Neubert, Xing Wang, Ze Long Liu","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-12-20T17:23:26Z","title":"Factorization at Next-to-Leading Power and Endpoint Divergences in $gg\\to h$ Production"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.10447","kind":"arxiv","version":2},"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":"sha256:8fb26c3fcb9e416a4f586507ccd1787073ef51e8d27b3306d8a5a6ab8753195b","target":"record","created_at":"2026-07-05T06:34:22Z","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":"fea5ac7a88f9f3a6305e57cb0705decd5ede2188052ea3737eff3df9458796b5","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-12-20T17:23:26Z","title_canon_sha256":"b90911d5b0025b65d9ebf4a27e90e001a8d64ef4fff4ce12ec69006418bcae64"},"schema_version":"1.0","source":{"id":"2212.10447","kind":"arxiv","version":2}},"canonical_sha256":"3a417139e8e6dbf652dd0f2405e8b43e05d9a1b093b2306460a252acd388ba4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a417139e8e6dbf652dd0f2405e8b43e05d9a1b093b2306460a252acd388ba4d","first_computed_at":"2026-07-05T06:34:22.449761Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:34:22.449761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x4GyQecTnXF9fCQVjd/hZEOCgOAanr1eAnjWDQEdNYPGU1ciElexDicFzjOjd6th9o8MkBTHP9u0YzhqRQAeBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:34:22.450226Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.10447","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8fb26c3fcb9e416a4f586507ccd1787073ef51e8d27b3306d8a5a6ab8753195b","sha256:de7cb6c10e0e9223233f8aafa6e0e6fcdf1e8a9dc9b600da75a7615bb2defad6"],"state_sha256":"f8f033100f0db43d293dfe3e50e04325de012867e002b39917c5fea7b0d20744"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q+AE04ONDiYrEUy6hcLhK/qhSGrn6slptmbrRpSF03axIjphHZiMSRcdtyceGRNNStnQco/ulvDQKmtUO+1vDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T20:40:47.075589Z","bundle_sha256":"e5b8dff43792e488be04dce5322e288bffc8c605bcdd72a7dfa5fa8db670c79b"}}