{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:SW2HMMN5ZMTU3QGV4GI4CMZ4KN","short_pith_number":"pith:SW2HMMN5","canonical_record":{"source":{"id":"2307.14999","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-07-27T16:52:55Z","cross_cats_sorted":[],"title_canon_sha256":"aed32a163330825eeafb7de3eec2b94e8e1d445465c2b301ba2e1bff8f7e5682","abstract_canon_sha256":"29e1818eb2409b570cb3e31a62e94ad69555ae479ef2839d5f68380b2498894c"},"schema_version":"1.0"},"canonical_sha256":"95b47631bdcb274dc0d5e191c1333c537e8e0f5280cb86f7663169485a6367b6","source":{"kind":"arxiv","id":"2307.14999","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.14999","created_at":"2026-07-05T09:44:48Z"},{"alias_kind":"arxiv_version","alias_value":"2307.14999v2","created_at":"2026-07-05T09:44:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.14999","created_at":"2026-07-05T09:44:48Z"},{"alias_kind":"pith_short_12","alias_value":"SW2HMMN5ZMTU","created_at":"2026-07-05T09:44:48Z"},{"alias_kind":"pith_short_16","alias_value":"SW2HMMN5ZMTU3QGV","created_at":"2026-07-05T09:44:48Z"},{"alias_kind":"pith_short_8","alias_value":"SW2HMMN5","created_at":"2026-07-05T09:44:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:SW2HMMN5ZMTU3QGV4GI4CMZ4KN","target":"record","payload":{"canonical_record":{"source":{"id":"2307.14999","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-07-27T16:52:55Z","cross_cats_sorted":[],"title_canon_sha256":"aed32a163330825eeafb7de3eec2b94e8e1d445465c2b301ba2e1bff8f7e5682","abstract_canon_sha256":"29e1818eb2409b570cb3e31a62e94ad69555ae479ef2839d5f68380b2498894c"},"schema_version":"1.0"},"canonical_sha256":"95b47631bdcb274dc0d5e191c1333c537e8e0f5280cb86f7663169485a6367b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:44:48.432109Z","signature_b64":"sHwfKjICjsAbs/p8uM9JfZBXcEd/mJ5QP20eQ1TTPuBFkTCMGscS0h5nkyVfIXd4R3K/ROE5zzRVPsZE4zy6Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95b47631bdcb274dc0d5e191c1333c537e8e0f5280cb86f7663169485a6367b6","last_reissued_at":"2026-07-05T09:44:48.431541Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:44:48.431541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2307.14999","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":"2026-07-05T09:44:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AJgOtkqmzIJ9NnX3wmiUOdg9VaHR0R/k8U5paoGfbu/mx3oi7cJJ4sgNjSXCgG/ZDFV8VWXVfs9HPvTznM1GDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T03:29:17.457454Z"},"content_sha256":"fc58a02d7fa6c78e2193c3ca2b6c98de0c89568f5bd3f9c16d8a792e282618da","schema_version":"1.0","event_id":"sha256:fc58a02d7fa6c78e2193c3ca2b6c98de0c89568f5bd3f9c16d8a792e282618da"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:SW2HMMN5ZMTU3QGV4GI4CMZ4KN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A general algorithm to build mixed real and virtual antenna functions for higher-order calculations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Christian T Preuss, Nigel Glover, Oscar Braun-White","submitted_at":"2023-07-27T16:52:55Z","abstract_excerpt":"The antenna-subtraction technique has demonstrated remarkable effectiveness in providing next-to-next-to-leading order in $\\alpha_s$ (NNLO) predictions for a wide range of processes relevant for the Large Hadron Collider. In a previous paper [1], we demonstrated how to build real-radiation antenna functions for any number of real emissions directly from a specified list of unresolved limits. Here, we extend this procedure to the mixed case of real and virtual radiation, for any number of real and virtual emissions. A novel feature of the algorithm is the requirement to match the antenna constr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.14999","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/2307.14999/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":"2026-07-05T09:44:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WEAUvStFzGvk7A0Lszp5eBDpWX5iYsLS9HY9aMxGE632BlNQz81Z0KXPWZiP9MgT5U/HUAp2HpvWMa5jKIaFAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T03:29:17.457838Z"},"content_sha256":"0f49ab2550054d7d28cbf066eb780c412e829941115680e9c8e6b209a7a121d5","schema_version":"1.0","event_id":"sha256:0f49ab2550054d7d28cbf066eb780c412e829941115680e9c8e6b209a7a121d5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SW2HMMN5ZMTU3QGV4GI4CMZ4KN/bundle.json","state_url":"https://pith.science/pith/SW2HMMN5ZMTU3QGV4GI4CMZ4KN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SW2HMMN5ZMTU3QGV4GI4CMZ4KN/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":"2026-08-06T03:29:17Z","links":{"resolver":"https://pith.science/pith/SW2HMMN5ZMTU3QGV4GI4CMZ4KN","bundle":"https://pith.science/pith/SW2HMMN5ZMTU3QGV4GI4CMZ4KN/bundle.json","state":"https://pith.science/pith/SW2HMMN5ZMTU3QGV4GI4CMZ4KN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SW2HMMN5ZMTU3QGV4GI4CMZ4KN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:SW2HMMN5ZMTU3QGV4GI4CMZ4KN","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":"29e1818eb2409b570cb3e31a62e94ad69555ae479ef2839d5f68380b2498894c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-07-27T16:52:55Z","title_canon_sha256":"aed32a163330825eeafb7de3eec2b94e8e1d445465c2b301ba2e1bff8f7e5682"},"schema_version":"1.0","source":{"id":"2307.14999","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.14999","created_at":"2026-07-05T09:44:48Z"},{"alias_kind":"arxiv_version","alias_value":"2307.14999v2","created_at":"2026-07-05T09:44:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.14999","created_at":"2026-07-05T09:44:48Z"},{"alias_kind":"pith_short_12","alias_value":"SW2HMMN5ZMTU","created_at":"2026-07-05T09:44:48Z"},{"alias_kind":"pith_short_16","alias_value":"SW2HMMN5ZMTU3QGV","created_at":"2026-07-05T09:44:48Z"},{"alias_kind":"pith_short_8","alias_value":"SW2HMMN5","created_at":"2026-07-05T09:44:48Z"}],"graph_snapshots":[{"event_id":"sha256:0f49ab2550054d7d28cbf066eb780c412e829941115680e9c8e6b209a7a121d5","target":"graph","created_at":"2026-07-05T09:44:48Z","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/2307.14999/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The antenna-subtraction technique has demonstrated remarkable effectiveness in providing next-to-next-to-leading order in $\\alpha_s$ (NNLO) predictions for a wide range of processes relevant for the Large Hadron Collider. In a previous paper [1], we demonstrated how to build real-radiation antenna functions for any number of real emissions directly from a specified list of unresolved limits. Here, we extend this procedure to the mixed case of real and virtual radiation, for any number of real and virtual emissions. A novel feature of the algorithm is the requirement to match the antenna constr","authors_text":"Christian T Preuss, Nigel Glover, Oscar Braun-White","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-07-27T16:52:55Z","title":"A general algorithm to build mixed real and virtual antenna functions for higher-order calculations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.14999","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:fc58a02d7fa6c78e2193c3ca2b6c98de0c89568f5bd3f9c16d8a792e282618da","target":"record","created_at":"2026-07-05T09:44:48Z","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":"29e1818eb2409b570cb3e31a62e94ad69555ae479ef2839d5f68380b2498894c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2023-07-27T16:52:55Z","title_canon_sha256":"aed32a163330825eeafb7de3eec2b94e8e1d445465c2b301ba2e1bff8f7e5682"},"schema_version":"1.0","source":{"id":"2307.14999","kind":"arxiv","version":2}},"canonical_sha256":"95b47631bdcb274dc0d5e191c1333c537e8e0f5280cb86f7663169485a6367b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95b47631bdcb274dc0d5e191c1333c537e8e0f5280cb86f7663169485a6367b6","first_computed_at":"2026-07-05T09:44:48.431541Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:44:48.431541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sHwfKjICjsAbs/p8uM9JfZBXcEd/mJ5QP20eQ1TTPuBFkTCMGscS0h5nkyVfIXd4R3K/ROE5zzRVPsZE4zy6Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:44:48.432109Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.14999","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc58a02d7fa6c78e2193c3ca2b6c98de0c89568f5bd3f9c16d8a792e282618da","sha256:0f49ab2550054d7d28cbf066eb780c412e829941115680e9c8e6b209a7a121d5"],"state_sha256":"dcba8ce70f0bc1caacbcbc22707f8dfd894ab64a4e74e073e28798f1a0f0fb77"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EB9kunVuKvYXAz3GzTdTyOiWxceVD9iEY0xaizYyzed9TIdFleG5PG2Ijcm/kszP9oLyszIvFAq93/haWdjsBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T03:29:17.461838Z","bundle_sha256":"5848b64d5dd2675fd86e87526bbba1ff66c8fa07c7a6ec12a358bb04bad73884"}}