{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:ZKC3S4XTJO47ONSFWIK5XWWTUD","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":"d11cc4101fc280c9f453eb3a7445ce97365231a00a1c8ade6ee1edba96177b73","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-11-25T15:03:22Z","title_canon_sha256":"3727566bd5efe24ec3cdf4dee647d954e29e539157e3042d0a16ba3b6018c757"},"schema_version":"1.0","source":{"id":"2211.14156","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.14156","created_at":"2026-07-05T07:16:35Z"},{"alias_kind":"arxiv_version","alias_value":"2211.14156v2","created_at":"2026-07-05T07:16:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.14156","created_at":"2026-07-05T07:16:35Z"},{"alias_kind":"pith_short_12","alias_value":"ZKC3S4XTJO47","created_at":"2026-07-05T07:16:35Z"},{"alias_kind":"pith_short_16","alias_value":"ZKC3S4XTJO47ONSF","created_at":"2026-07-05T07:16:35Z"},{"alias_kind":"pith_short_8","alias_value":"ZKC3S4XT","created_at":"2026-07-05T07:16:35Z"}],"graph_snapshots":[{"event_id":"sha256:f23e83080112d14c9ed959f6d76937e568506d0fe9033898c63e42c92f632b45","target":"graph","created_at":"2026-07-05T07:16:35Z","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/2211.14156/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"One-loop integrands can be written in terms of a simple, process-independent basis. We show that a similar basis exists for integrands of phase-space integrals for the real-emission contribution at next-to-leading order. Our demonstration deploys techniques from computational algebraic geometry to partial-fraction integrands in a systematic way. This takes the first step towards a decomposition of phase-space integrals in terms of a basis of master integrals.","authors_text":"Ben Page, David A. Kosower","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-11-25T15:03:22Z","title":"Universal Decomposition of Phase-Space Integrands"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.14156","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:beef541c718ca491f730cfd18faa18ab2f71810d16db805ffd45935e583d368f","target":"record","created_at":"2026-07-05T07:16:35Z","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":"d11cc4101fc280c9f453eb3a7445ce97365231a00a1c8ade6ee1edba96177b73","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-11-25T15:03:22Z","title_canon_sha256":"3727566bd5efe24ec3cdf4dee647d954e29e539157e3042d0a16ba3b6018c757"},"schema_version":"1.0","source":{"id":"2211.14156","kind":"arxiv","version":2}},"canonical_sha256":"ca85b972f34bb9f73645b215dbdad3a0c599c36f3e0f6167ba0e2e38c478b381","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca85b972f34bb9f73645b215dbdad3a0c599c36f3e0f6167ba0e2e38c478b381","first_computed_at":"2026-07-05T07:16:35.062275Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:16:35.062275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"glNOVwCinRKgQoQPN07o9Vhnsv88HpDvWL3WhYj6UdGSH99Gzyyt24jQz5azndQUSG/MB+vfPy1niqIc4aguCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:16:35.062656Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.14156","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:beef541c718ca491f730cfd18faa18ab2f71810d16db805ffd45935e583d368f","sha256:f23e83080112d14c9ed959f6d76937e568506d0fe9033898c63e42c92f632b45"],"state_sha256":"6d786ede53528e07ae58e2647f62bc57a28defd9b686e7ca994876d343083074"}