{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:Y37BPXWW4EJ5IQYBWFTZ26CFWF","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":"001fc5d79a1709926d238af47945f23acaba163f52eadb41aea3a576ee5229ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-18T18:00:01Z","title_canon_sha256":"653002d3defd73a2f9b4c0c5a9ed159409f72e4eb0a2d04e5f4fdfb8a3d2ad65"},"schema_version":"1.0","source":{"id":"1704.05460","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05460","created_at":"2026-05-18T00:41:24Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05460v1","created_at":"2026-05-18T00:41:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05460","created_at":"2026-05-18T00:41:24Z"},{"alias_kind":"pith_short_12","alias_value":"Y37BPXWW4EJ5","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"Y37BPXWW4EJ5IQYB","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"Y37BPXWW","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:9cc16e045c7b9cbf608ee29cbad2f165f532515ac81ccf2e3e6b5b38bee7beed","target":"graph","created_at":"2026-05-18T00:41:24Z","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 introduce a prescriptive approach to generalized unitarity, resulting in a strictly-diagonal basis of loop integrands with coefficients given by specifically-tailored residues in field theory. We illustrate the power of this strategy in the case of planar, maximally supersymmetric Yang-Mills theory, where we construct closed-form representations of all ($n$-point N$^k$MHV) scattering amplitudes through three loops. The prescriptive approach contrasts with the ordinary description of unitarity-based methods by avoiding any need for linear algebra to determine integrand coefficients. We descr","authors_text":"Enrico Herrmann, Jacob L. Bourjaily, Jaroslav Trnka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-18T18:00:01Z","title":"Prescriptive Unitarity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05460","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":"sha256:3c795ef4b80199302e291109d5f20301f526c150bc1c878b5b22cece9cae3c7f","target":"record","created_at":"2026-05-18T00:41:24Z","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":"001fc5d79a1709926d238af47945f23acaba163f52eadb41aea3a576ee5229ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-04-18T18:00:01Z","title_canon_sha256":"653002d3defd73a2f9b4c0c5a9ed159409f72e4eb0a2d04e5f4fdfb8a3d2ad65"},"schema_version":"1.0","source":{"id":"1704.05460","kind":"arxiv","version":1}},"canonical_sha256":"c6fe17ded6e113d44301b1679d7845b14e85d40a9e3fc1ca76229a0b7b5d5b83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6fe17ded6e113d44301b1679d7845b14e85d40a9e3fc1ca76229a0b7b5d5b83","first_computed_at":"2026-05-18T00:41:24.212155Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:24.212155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GFHVtpn6wggnLaUpown8/qXMOVZbJ0CH3tEFoJYh9vYJq0BQNC4xNW9QSguGTix9Hcr5bWaU1ks68ObLTmLZCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:24.212866Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.05460","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c795ef4b80199302e291109d5f20301f526c150bc1c878b5b22cece9cae3c7f","sha256:9cc16e045c7b9cbf608ee29cbad2f165f532515ac81ccf2e3e6b5b38bee7beed"],"state_sha256":"a3776e7080cad073d30ee7cb1852e27d24eb3c1bf66727e4c1117be23eea77b7"}