{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:NT6O4YPO4VMG72L6H3UYYFQL4K","short_pith_number":"pith:NT6O4YPO","canonical_record":{"source":{"id":"1311.3551","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-11-14T15:56:41Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"24fd03c48a32cea14d15cd8d570048e26a3de30643304af55ebfced3b02e9334","abstract_canon_sha256":"ef92ecd3846629b79b768160cd4545010a61f731a31cd79549f49434c388712c"},"schema_version":"1.0"},"canonical_sha256":"6cfcee61eee5586fe97e3ee98c160be2b2dde44bef78b6904fa1ca5c23bdd878","source":{"kind":"arxiv","id":"1311.3551","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3551","created_at":"2026-05-18T02:52:32Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3551v2","created_at":"2026-05-18T02:52:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3551","created_at":"2026-05-18T02:52:32Z"},{"alias_kind":"pith_short_12","alias_value":"NT6O4YPO4VMG","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NT6O4YPO4VMG72L6","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NT6O4YPO","created_at":"2026-05-18T12:27:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:NT6O4YPO4VMG72L6H3UYYFQL4K","target":"record","payload":{"canonical_record":{"source":{"id":"1311.3551","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-11-14T15:56:41Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"24fd03c48a32cea14d15cd8d570048e26a3de30643304af55ebfced3b02e9334","abstract_canon_sha256":"ef92ecd3846629b79b768160cd4545010a61f731a31cd79549f49434c388712c"},"schema_version":"1.0"},"canonical_sha256":"6cfcee61eee5586fe97e3ee98c160be2b2dde44bef78b6904fa1ca5c23bdd878","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:32.124150Z","signature_b64":"TyMx3ZAdwrsevTdcUFrDc+xIBV+X4fKPyIO6eHhGcA6hH5xlTHTEKGtvpgKpEqKwERPtu+gSa7er5CDdsYO1DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6cfcee61eee5586fe97e3ee98c160be2b2dde44bef78b6904fa1ca5c23bdd878","last_reissued_at":"2026-05-18T02:52:32.123613Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:32.123613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.3551","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":"2026-05-18T02:52:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mKHe1A7KfvcSvmcWh8l1jNcXfn2/+kO5zhw48o6CuTOKioErJ8sW6cfrFC5eXv4SaaAceGjypvtaf8zgNKxYAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T15:36:31.047291Z"},"content_sha256":"82e5cc27abc28dfc686f94090a413fdbf577bae68720892a6e64d1bae1e28120","schema_version":"1.0","event_id":"sha256:82e5cc27abc28dfc686f94090a413fdbf577bae68720892a6e64d1bae1e28120"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:NT6O4YPO4VMG72L6H3UYYFQL4K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"FDR, an easier way to NNLO calculations: a two-loop case study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Alice Maria Donati, Roberto Pittau","submitted_at":"2013-11-14T15:56:41Z","abstract_excerpt":"In this paper we illustrate the simplifications produced by FDR in NNLO computations. We show with an explicit example that - due to its four-dimensionality - FDR does not require an order-by-order renormalization and that, unlike the one-loop case, FDR and dimensional regularization (DR) generate intermediate two-loop results which are no longer linked by a simple subtraction of the ultraviolet (UV) poles in epsilon. Our case study is the two-loop amplitude for H -> gamma gamma, mediated by an infinitely heavy top loop, in the presence of gluonic corrections. We use this to elucidate how gaug"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3551","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VVrk9u7UMRTsY0euso2qr0RH+4fVJltnag9tQhixu56u7CN1/VIpyMvGlqLnynuP2qTWHdf4cyhTvKeQvfXlDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T15:36:31.047932Z"},"content_sha256":"37cca835589a5379a9c62a4e827765a7d7982ae1f8532bbca8ba1388a7d75001","schema_version":"1.0","event_id":"sha256:37cca835589a5379a9c62a4e827765a7d7982ae1f8532bbca8ba1388a7d75001"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NT6O4YPO4VMG72L6H3UYYFQL4K/bundle.json","state_url":"https://pith.science/pith/NT6O4YPO4VMG72L6H3UYYFQL4K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NT6O4YPO4VMG72L6H3UYYFQL4K/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":"2026-06-06T15:36:31Z","links":{"resolver":"https://pith.science/pith/NT6O4YPO4VMG72L6H3UYYFQL4K","bundle":"https://pith.science/pith/NT6O4YPO4VMG72L6H3UYYFQL4K/bundle.json","state":"https://pith.science/pith/NT6O4YPO4VMG72L6H3UYYFQL4K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NT6O4YPO4VMG72L6H3UYYFQL4K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NT6O4YPO4VMG72L6H3UYYFQL4K","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":"ef92ecd3846629b79b768160cd4545010a61f731a31cd79549f49434c388712c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-11-14T15:56:41Z","title_canon_sha256":"24fd03c48a32cea14d15cd8d570048e26a3de30643304af55ebfced3b02e9334"},"schema_version":"1.0","source":{"id":"1311.3551","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3551","created_at":"2026-05-18T02:52:32Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3551v2","created_at":"2026-05-18T02:52:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3551","created_at":"2026-05-18T02:52:32Z"},{"alias_kind":"pith_short_12","alias_value":"NT6O4YPO4VMG","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NT6O4YPO4VMG72L6","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NT6O4YPO","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:37cca835589a5379a9c62a4e827765a7d7982ae1f8532bbca8ba1388a7d75001","target":"graph","created_at":"2026-05-18T02:52:32Z","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":"In this paper we illustrate the simplifications produced by FDR in NNLO computations. We show with an explicit example that - due to its four-dimensionality - FDR does not require an order-by-order renormalization and that, unlike the one-loop case, FDR and dimensional regularization (DR) generate intermediate two-loop results which are no longer linked by a simple subtraction of the ultraviolet (UV) poles in epsilon. Our case study is the two-loop amplitude for H -> gamma gamma, mediated by an infinitely heavy top loop, in the presence of gluonic corrections. We use this to elucidate how gaug","authors_text":"Alice Maria Donati, Roberto Pittau","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-11-14T15:56:41Z","title":"FDR, an easier way to NNLO calculations: a two-loop case study"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3551","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":"sha256:82e5cc27abc28dfc686f94090a413fdbf577bae68720892a6e64d1bae1e28120","target":"record","created_at":"2026-05-18T02:52:32Z","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":"ef92ecd3846629b79b768160cd4545010a61f731a31cd79549f49434c388712c","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-11-14T15:56:41Z","title_canon_sha256":"24fd03c48a32cea14d15cd8d570048e26a3de30643304af55ebfced3b02e9334"},"schema_version":"1.0","source":{"id":"1311.3551","kind":"arxiv","version":2}},"canonical_sha256":"6cfcee61eee5586fe97e3ee98c160be2b2dde44bef78b6904fa1ca5c23bdd878","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cfcee61eee5586fe97e3ee98c160be2b2dde44bef78b6904fa1ca5c23bdd878","first_computed_at":"2026-05-18T02:52:32.123613Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:32.123613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TyMx3ZAdwrsevTdcUFrDc+xIBV+X4fKPyIO6eHhGcA6hH5xlTHTEKGtvpgKpEqKwERPtu+gSa7er5CDdsYO1DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:32.124150Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.3551","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82e5cc27abc28dfc686f94090a413fdbf577bae68720892a6e64d1bae1e28120","sha256:37cca835589a5379a9c62a4e827765a7d7982ae1f8532bbca8ba1388a7d75001"],"state_sha256":"29fa67eb3666c99368774a9d4c04d0161ba5ca57d2cec5e6f86c0671e7222d93"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WROE6tj+ifRU/+3UFkKCVP6qXZ0t66xwizEpfwn2s79fsE5Jg9nklYVeP+7ivSZts3QT7/EYuNcuBjezB3qUDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T15:36:31.051431Z","bundle_sha256":"ecf743e4d200fa94e6ed504d7d1c946f52ee3686a4f0cf56e9f7a4fe21875bb6"}}