{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:Z65PGFC6XJMJ5PS6RPRX6DV4PS","short_pith_number":"pith:Z65PGFC6","canonical_record":{"source":{"id":"hep-ph/0608180","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-08-16T16:52:49Z","cross_cats_sorted":[],"title_canon_sha256":"3f9dab29c0466b25eb2c4d9ac2da6c5c2a857da240e84034a922e3c2eb9fde22","abstract_canon_sha256":"fa925805ae9fbd21f68bf60fd4868c43dbe28bb770d6e7c48a63808191755533"},"schema_version":"1.0"},"canonical_sha256":"cfbaf3145eba589ebe5e8be37f0ebc7ca0ff9506ffa6f41cffb14758de2651a0","source":{"kind":"arxiv","id":"hep-ph/0608180","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0608180","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0608180v4","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0608180","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"pith_short_12","alias_value":"Z65PGFC6XJMJ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"Z65PGFC6XJMJ5PS6","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"Z65PGFC6","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:Z65PGFC6XJMJ5PS6RPRX6DV4PS","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0608180","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-08-16T16:52:49Z","cross_cats_sorted":[],"title_canon_sha256":"3f9dab29c0466b25eb2c4d9ac2da6c5c2a857da240e84034a922e3c2eb9fde22","abstract_canon_sha256":"fa925805ae9fbd21f68bf60fd4868c43dbe28bb770d6e7c48a63808191755533"},"schema_version":"1.0"},"canonical_sha256":"cfbaf3145eba589ebe5e8be37f0ebc7ca0ff9506ffa6f41cffb14758de2651a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:13.507893Z","signature_b64":"qwKEA5WCnmiLFHvt1XJpVKetr+6QOcrIBh7FtOl6zEEyAKTrbtasdEpTNmCfWDJ/h0YBQprnP9q4GTj7zZvYAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cfbaf3145eba589ebe5e8be37f0ebc7ca0ff9506ffa6f41cffb14758de2651a0","last_reissued_at":"2026-05-18T02:36:13.507459Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:13.507459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0608180","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:36:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KEpgpYE6gOpC0BFlX6g18ls5fAYA2pM3fANsgnL0BdtEkD0Jehps3+21bcq6RkzyzhGRKhW00HGBr0xEWxBhBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T12:00:03.732457Z"},"content_sha256":"3b4854fbcc2b65e4cb26258e989641999b646296619e38e944e70dd0bb1f2b44","schema_version":"1.0","event_id":"sha256:3b4854fbcc2b65e4cb26258e989641999b646296619e38e944e70dd0bb1f2b44"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:Z65PGFC6XJMJ5PS6RPRX6DV4PS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Carola F. Berger, Lance J. Dixon, Vittorio Del Duca","submitted_at":"2006-08-16T16:52:49Z","abstract_excerpt":"We consider a scalar field, such as the Higgs boson H, coupled to gluons via the effective operator H tr G_{mu nu} G^{mu nu} induced by a heavy-quark loop. We treat H as the real part of a complex field phi which couples to the self-dual part of the gluon field-strength, via the operator phi tr G_{SD mu nu} G_{SD}^{mu nu}, whereas the conjugate field phi^dagger couples to the anti-self-dual part. There are three infinite sequences of amplitudes coupling phi to quarks and gluons that vanish at tree level, and hence are finite at one loop, in the QCD coupling. Using on-shell recursion relations,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0608180","kind":"arxiv","version":4},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:36:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+yqKpUfbUyGUzhyJFpe9M5yGinGjQTtw6RiU8EMcXrTz4O+8SbSsuFWekNOyOtkKbrcExSgFBUOqFXuYfP5SBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T12:00:03.733472Z"},"content_sha256":"f22d7fcaa5129fcfeaf0e4b56a0376dda2a69ce282a9932fabfc36d0eb4d974b","schema_version":"1.0","event_id":"sha256:f22d7fcaa5129fcfeaf0e4b56a0376dda2a69ce282a9932fabfc36d0eb4d974b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z65PGFC6XJMJ5PS6RPRX6DV4PS/bundle.json","state_url":"https://pith.science/pith/Z65PGFC6XJMJ5PS6RPRX6DV4PS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z65PGFC6XJMJ5PS6RPRX6DV4PS/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":"2026-06-10T12:00:03Z","links":{"resolver":"https://pith.science/pith/Z65PGFC6XJMJ5PS6RPRX6DV4PS","bundle":"https://pith.science/pith/Z65PGFC6XJMJ5PS6RPRX6DV4PS/bundle.json","state":"https://pith.science/pith/Z65PGFC6XJMJ5PS6RPRX6DV4PS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z65PGFC6XJMJ5PS6RPRX6DV4PS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:Z65PGFC6XJMJ5PS6RPRX6DV4PS","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":"fa925805ae9fbd21f68bf60fd4868c43dbe28bb770d6e7c48a63808191755533","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-08-16T16:52:49Z","title_canon_sha256":"3f9dab29c0466b25eb2c4d9ac2da6c5c2a857da240e84034a922e3c2eb9fde22"},"schema_version":"1.0","source":{"id":"hep-ph/0608180","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0608180","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0608180v4","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0608180","created_at":"2026-05-18T02:36:13Z"},{"alias_kind":"pith_short_12","alias_value":"Z65PGFC6XJMJ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"Z65PGFC6XJMJ5PS6","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"Z65PGFC6","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:f22d7fcaa5129fcfeaf0e4b56a0376dda2a69ce282a9932fabfc36d0eb4d974b","target":"graph","created_at":"2026-05-18T02:36:13Z","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"},"paper":{"abstract_excerpt":"We consider a scalar field, such as the Higgs boson H, coupled to gluons via the effective operator H tr G_{mu nu} G^{mu nu} induced by a heavy-quark loop. We treat H as the real part of a complex field phi which couples to the self-dual part of the gluon field-strength, via the operator phi tr G_{SD mu nu} G_{SD}^{mu nu}, whereas the conjugate field phi^dagger couples to the anti-self-dual part. There are three infinite sequences of amplitudes coupling phi to quarks and gluons that vanish at tree level, and hence are finite at one loop, in the QCD coupling. Using on-shell recursion relations,","authors_text":"Carola F. Berger, Lance J. Dixon, Vittorio Del Duca","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2006-08-16T16:52:49Z","title":"Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0608180","kind":"arxiv","version":4},"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":"sha256:3b4854fbcc2b65e4cb26258e989641999b646296619e38e944e70dd0bb1f2b44","target":"record","created_at":"2026-05-18T02:36:13Z","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":"fa925805ae9fbd21f68bf60fd4868c43dbe28bb770d6e7c48a63808191755533","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-08-16T16:52:49Z","title_canon_sha256":"3f9dab29c0466b25eb2c4d9ac2da6c5c2a857da240e84034a922e3c2eb9fde22"},"schema_version":"1.0","source":{"id":"hep-ph/0608180","kind":"arxiv","version":4}},"canonical_sha256":"cfbaf3145eba589ebe5e8be37f0ebc7ca0ff9506ffa6f41cffb14758de2651a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cfbaf3145eba589ebe5e8be37f0ebc7ca0ff9506ffa6f41cffb14758de2651a0","first_computed_at":"2026-05-18T02:36:13.507459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:13.507459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qwKEA5WCnmiLFHvt1XJpVKetr+6QOcrIBh7FtOl6zEEyAKTrbtasdEpTNmCfWDJ/h0YBQprnP9q4GTj7zZvYAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:13.507893Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0608180","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b4854fbcc2b65e4cb26258e989641999b646296619e38e944e70dd0bb1f2b44","sha256:f22d7fcaa5129fcfeaf0e4b56a0376dda2a69ce282a9932fabfc36d0eb4d974b"],"state_sha256":"59105fcbaabfb889e65211d55c1daae484458084d6908fe12fb9f2dd570ffdf3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"owQeuiCBzXnquUCa7X0qplILcUTbKtEJJgj/w87ufPvPIdw+HlFA+FFILhIXKDuwtOFIYMD80XX0WE+MhtRkCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T12:00:03.737306Z","bundle_sha256":"1f7639825186c0c0d2417dd4dd01f4b1179d44430fd002dd5d0cfddd05fce753"}}