{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:A72XOB53SJUKVXDMYX7NNR6II6","short_pith_number":"pith:A72XOB53","canonical_record":{"source":{"id":"1505.04110","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-05-15T16:20:02Z","cross_cats_sorted":[],"title_canon_sha256":"34f97e1cb041799e8b67d7b5bfe0658c8ec87a428163be4826b667a2ebaa65ee","abstract_canon_sha256":"5d3a9de54b2f8f6ba4b941c3f616a4f526dc689c54fd5ecda9a0e4bde4bd2228"},"schema_version":"1.0"},"canonical_sha256":"07f57707bb9268aadc6cc5fed6c7c847af94fda8d825b67b35f54d8e80fbb379","source":{"kind":"arxiv","id":"1505.04110","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.04110","created_at":"2026-05-18T01:31:39Z"},{"alias_kind":"arxiv_version","alias_value":"1505.04110v1","created_at":"2026-05-18T01:31:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.04110","created_at":"2026-05-18T01:31:39Z"},{"alias_kind":"pith_short_12","alias_value":"A72XOB53SJUK","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"A72XOB53SJUKVXDM","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"A72XOB53","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:A72XOB53SJUKVXDMYX7NNR6II6","target":"record","payload":{"canonical_record":{"source":{"id":"1505.04110","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-05-15T16:20:02Z","cross_cats_sorted":[],"title_canon_sha256":"34f97e1cb041799e8b67d7b5bfe0658c8ec87a428163be4826b667a2ebaa65ee","abstract_canon_sha256":"5d3a9de54b2f8f6ba4b941c3f616a4f526dc689c54fd5ecda9a0e4bde4bd2228"},"schema_version":"1.0"},"canonical_sha256":"07f57707bb9268aadc6cc5fed6c7c847af94fda8d825b67b35f54d8e80fbb379","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:39.074920Z","signature_b64":"psmQep8BXNmytxhbZ9/vYk/XrAEHWyuIwnSCyjBf0B9c8wReA1Lx9JUOmxJCLUH+JDaeUmPQftYiTcBV6p8XDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07f57707bb9268aadc6cc5fed6c7c847af94fda8d825b67b35f54d8e80fbb379","last_reissued_at":"2026-05-18T01:31:39.074344Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:39.074344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.04110","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:31:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"thntP7PRjTsHYCluxkbUeG8LGkWber2mI5IJcfdTpxVa/o9qwaSvzyhhlHrkJ3EOAgzH6J0b4ntVxbcVc6XfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:01:01.312245Z"},"content_sha256":"99b2001694f6f3b291a0ba5cba4734b27e35d81d51f95b05fec5c9c694647034","schema_version":"1.0","event_id":"sha256:99b2001694f6f3b291a0ba5cba4734b27e35d81d51f95b05fec5c9c694647034"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:A72XOB53SJUKVXDMYX7NNR6II6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N$^3$LO","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Bernhard Mistlberger, Charalampos Anastasiou, Claude Duhr, Elisabetta Furlan, Falko Dulat, Franz Herzog","submitted_at":"2015-05-15T16:20:02Z","abstract_excerpt":"We present methods to compute higher orders in the threshold expansion for the one-loop production of a Higgs boson in association with two partons at hadron colliders. This process contributes to the N$^3$LO Higgs production cross section beyond the soft-virtual approximation. We use reverse unitarity to expand the phase-space integrals in the small kinematic parameters and to reduce the coefficients of the expansion to a small set of master integrals. We describe two methods for the calculation of the master integrals. The first was introduced for the calculation of the soft triple-real radi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.04110","kind":"arxiv","version":1},"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":"2026-05-18T01:31:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tdiqcm7cj51fRxVr7cWqhsJRitmZvPq5ZaMIVenfHEsSgdt96Bg4Np1SZieXMXRi8vvE1vgHiP/6Gm6cz40mAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:01:01.312942Z"},"content_sha256":"f9fd36a6cc3d10821f62a15194059a2c03cc76ce78ed50366bb8d45251861ddc","schema_version":"1.0","event_id":"sha256:f9fd36a6cc3d10821f62a15194059a2c03cc76ce78ed50366bb8d45251861ddc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A72XOB53SJUKVXDMYX7NNR6II6/bundle.json","state_url":"https://pith.science/pith/A72XOB53SJUKVXDMYX7NNR6II6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A72XOB53SJUKVXDMYX7NNR6II6/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":"2026-05-26T02:01:01Z","links":{"resolver":"https://pith.science/pith/A72XOB53SJUKVXDMYX7NNR6II6","bundle":"https://pith.science/pith/A72XOB53SJUKVXDMYX7NNR6II6/bundle.json","state":"https://pith.science/pith/A72XOB53SJUKVXDMYX7NNR6II6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A72XOB53SJUKVXDMYX7NNR6II6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:A72XOB53SJUKVXDMYX7NNR6II6","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":"5d3a9de54b2f8f6ba4b941c3f616a4f526dc689c54fd5ecda9a0e4bde4bd2228","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-05-15T16:20:02Z","title_canon_sha256":"34f97e1cb041799e8b67d7b5bfe0658c8ec87a428163be4826b667a2ebaa65ee"},"schema_version":"1.0","source":{"id":"1505.04110","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.04110","created_at":"2026-05-18T01:31:39Z"},{"alias_kind":"arxiv_version","alias_value":"1505.04110v1","created_at":"2026-05-18T01:31:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.04110","created_at":"2026-05-18T01:31:39Z"},{"alias_kind":"pith_short_12","alias_value":"A72XOB53SJUK","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"A72XOB53SJUKVXDM","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"A72XOB53","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:f9fd36a6cc3d10821f62a15194059a2c03cc76ce78ed50366bb8d45251861ddc","target":"graph","created_at":"2026-05-18T01:31:39Z","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 present methods to compute higher orders in the threshold expansion for the one-loop production of a Higgs boson in association with two partons at hadron colliders. This process contributes to the N$^3$LO Higgs production cross section beyond the soft-virtual approximation. We use reverse unitarity to expand the phase-space integrals in the small kinematic parameters and to reduce the coefficients of the expansion to a small set of master integrals. We describe two methods for the calculation of the master integrals. The first was introduced for the calculation of the soft triple-real radi","authors_text":"Bernhard Mistlberger, Charalampos Anastasiou, Claude Duhr, Elisabetta Furlan, Falko Dulat, Franz Herzog","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-05-15T16:20:02Z","title":"Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N$^3$LO"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.04110","kind":"arxiv","version":1},"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":"sha256:99b2001694f6f3b291a0ba5cba4734b27e35d81d51f95b05fec5c9c694647034","target":"record","created_at":"2026-05-18T01:31:39Z","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":"5d3a9de54b2f8f6ba4b941c3f616a4f526dc689c54fd5ecda9a0e4bde4bd2228","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-05-15T16:20:02Z","title_canon_sha256":"34f97e1cb041799e8b67d7b5bfe0658c8ec87a428163be4826b667a2ebaa65ee"},"schema_version":"1.0","source":{"id":"1505.04110","kind":"arxiv","version":1}},"canonical_sha256":"07f57707bb9268aadc6cc5fed6c7c847af94fda8d825b67b35f54d8e80fbb379","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07f57707bb9268aadc6cc5fed6c7c847af94fda8d825b67b35f54d8e80fbb379","first_computed_at":"2026-05-18T01:31:39.074344Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:39.074344Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"psmQep8BXNmytxhbZ9/vYk/XrAEHWyuIwnSCyjBf0B9c8wReA1Lx9JUOmxJCLUH+JDaeUmPQftYiTcBV6p8XDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:39.074920Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.04110","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99b2001694f6f3b291a0ba5cba4734b27e35d81d51f95b05fec5c9c694647034","sha256:f9fd36a6cc3d10821f62a15194059a2c03cc76ce78ed50366bb8d45251861ddc"],"state_sha256":"aad82929832d7a73f71bb268f54f1014203f5b366baa815db9ff754345235543"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U3Rk7yVRgp9yigpSeBP1hKFzw5WvgW0EmfUApvExa1IG1WUWbR384RSF5Rmf6uoiQRa+kY/NE/vMnBs1xmbgCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T02:01:01.316691Z","bundle_sha256":"03e5b8e283e0b87028105c6d842b6504b2558f18dde1a4f7eba65ad54a6f7435"}}