{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NQGAFPNFNCZKMPYVKSARNOP34W","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":"043bcd105072532776368c1405cfc55ebfafba9522453fa820cd29700427dbe8","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-30T12:09:39Z","title_canon_sha256":"75aa6cba6e0c9cb95f4a38041699c0dd2981be61d21a6e70550fbeee2d1b7da0"},"schema_version":"1.0","source":{"id":"1606.09447","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09447","created_at":"2026-05-18T01:11:22Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09447v2","created_at":"2026-05-18T01:11:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09447","created_at":"2026-05-18T01:11:22Z"},{"alias_kind":"pith_short_12","alias_value":"NQGAFPNFNCZK","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"NQGAFPNFNCZKMPYV","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"NQGAFPNF","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:1cc995dc5db78892d63ea20afcd341fdf187a37a5fe3a745ae9001eb865c2d92","target":"graph","created_at":"2026-05-18T01:11:22Z","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":"Integration-by-parts reductions play a central role in perturbative QFT calculations. They allow the set of Feynman integrals contributing to a given observable to be reduced to a small set of basis integrals, and they moreover facilitate the computation of those basis integrals. We introduce an efficient new method for generating integration-by-parts reductions. This method simplifies the task by making use of generalized-unitarity cuts and turns the problem of finding the needed total derivatives into one of solving certain polynomial (so-called syzygy) equations.","authors_text":"Kasper J. Larsen, Yang Zhang","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-30T12:09:39Z","title":"Integration-by-parts reductions from the viewpoint of computational algebraic geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09447","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:bbebb7d28ba302249fbfa4095a53cdcf468b6c6dc2e1e6188b49e9435e5f0b2a","target":"record","created_at":"2026-05-18T01:11:22Z","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":"043bcd105072532776368c1405cfc55ebfafba9522453fa820cd29700427dbe8","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-30T12:09:39Z","title_canon_sha256":"75aa6cba6e0c9cb95f4a38041699c0dd2981be61d21a6e70550fbeee2d1b7da0"},"schema_version":"1.0","source":{"id":"1606.09447","kind":"arxiv","version":2}},"canonical_sha256":"6c0c02bda568b2a63f15548116b9fbe5976808982772ed0ce73fd89816b9cf95","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c0c02bda568b2a63f15548116b9fbe5976808982772ed0ce73fd89816b9cf95","first_computed_at":"2026-05-18T01:11:22.369075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:22.369075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T/zvlD83NGj0ODxkthcxC9ItMyHyQ7k6Z/nS9sYLgyq99H7HNm8Ch/FgT8p7xqjnSWA24YO28FcdO1wrPhtDCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:22.370056Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.09447","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bbebb7d28ba302249fbfa4095a53cdcf468b6c6dc2e1e6188b49e9435e5f0b2a","sha256:1cc995dc5db78892d63ea20afcd341fdf187a37a5fe3a745ae9001eb865c2d92"],"state_sha256":"bbb054f6abcc27c08fbb28e9c85c8769f6b7f8baa96633af33fec885f3eb9509"}