{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RMDV7VMPBGVIWVZ7XM5AVJQV7R","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":"543e755cf97d74c277062840fcb43a381452750e0ac4b3ff9762584b202e9141","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-10-01T18:09:34Z","title_canon_sha256":"42f604be946a82db62a27d90dba110f6ac903f2ead619ff646c3105ffd648c8d"},"schema_version":"1.0","source":{"id":"1310.0413","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.0413","created_at":"2026-05-18T02:48:09Z"},{"alias_kind":"arxiv_version","alias_value":"1310.0413v3","created_at":"2026-05-18T02:48:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.0413","created_at":"2026-05-18T02:48:09Z"},{"alias_kind":"pith_short_12","alias_value":"RMDV7VMPBGVI","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"RMDV7VMPBGVIWVZ7","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"RMDV7VMP","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:d41a90f3f37ae9a1b368f6e12a98ace00e6139031bb34a6da92b9b143d035e42","target":"graph","created_at":"2026-05-18T02:48:09Z","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 the decomposition of QCD partial amplitudes into primitive amplitudes at one-loop level and tree level for arbitrary numbers of quarks and gluons. Our method is based on shuffle relations. This method is purely combinatorial and does not require the inversion of a system of linear equations.","authors_text":"Christian Reuschle, Stefan Weinzierl","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-10-01T18:09:34Z","title":"Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.0413","kind":"arxiv","version":3},"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":"sha256:6a084bd46f79494fee26f7b4663b28bd08c500d9cb1b2858f36bbcb73d872755","target":"record","created_at":"2026-05-18T02:48:09Z","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":"543e755cf97d74c277062840fcb43a381452750e0ac4b3ff9762584b202e9141","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-10-01T18:09:34Z","title_canon_sha256":"42f604be946a82db62a27d90dba110f6ac903f2ead619ff646c3105ffd648c8d"},"schema_version":"1.0","source":{"id":"1310.0413","kind":"arxiv","version":3}},"canonical_sha256":"8b075fd58f09aa8b573fbb3a0aa615fc72f606852b0d57ac1cd58eef321b6953","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b075fd58f09aa8b573fbb3a0aa615fc72f606852b0d57ac1cd58eef321b6953","first_computed_at":"2026-05-18T02:48:09.916190Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:09.916190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R1AG1dYxlcf7D8ayINS6k2EMy23XYkITI3fw7Zkivf7Lczo/VS/k4jIPYQPmx177zBLrPN5bKEcarWWQpK5yAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:09.916628Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.0413","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a084bd46f79494fee26f7b4663b28bd08c500d9cb1b2858f36bbcb73d872755","sha256:d41a90f3f37ae9a1b368f6e12a98ace00e6139031bb34a6da92b9b143d035e42"],"state_sha256":"9da5533e4c510ee3d84ee58168dc0e92332b0b9ac049b552f40952f720b2b57c"}