{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:3VPVK2MCDRXFFVX4CPQOH4N3P2","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":"1979bd39779464a4ee26a21529e9b6c3b3f12e6ccf904a26c260793dfc511772","cross_cats_sorted":["hep-ph","math-ph","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-29T16:27:52Z","title_canon_sha256":"c5833d4d9563491531a6dd0abd0ce81f395d01de84b07be4a25554397af096c5"},"schema_version":"1.0","source":{"id":"0901.4716","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.4716","created_at":"2026-05-18T02:35:01Z"},{"alias_kind":"arxiv_version","alias_value":"0901.4716v3","created_at":"2026-05-18T02:35:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.4716","created_at":"2026-05-18T02:35:01Z"},{"alias_kind":"pith_short_12","alias_value":"3VPVK2MCDRXF","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3VPVK2MCDRXFFVX4","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3VPVK2MC","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:ea52bff344dad90e3e27b7567a2861bfadc13bacbf00f21c6b9b5540b30b1b95","target":"graph","created_at":"2026-05-18T02:35:01Z","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 will present some (formal) arguments that any Feynman diagram can be understood as a particular case of a Horn-type multivariable hypergeometric function. The advantages and disadvantages of this type of approach to the evaluation of Feynman diagrams is discussed.","authors_text":"B.F.L. Ward (Baylor U.), Inst. Theor. Phys. II), Inst. Theor. Phys. II & Dubna, JINR), JINR) Bernd A. Kniehl (Hamburg U., M. Yu. Kalmykov (Hamburg U., S.A. Yost (Citadel Military Coll.), V. V. Bytev (Hamburg U.","cross_cats":["hep-ph","math-ph","math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-29T16:27:52Z","title":"Feynman Diagrams, Differential Reduction, and Hypergeometric Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.4716","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:ff16b2eb7ed9897a87d7fc645f1c4ba53e2f7be49a40d2a414662a8b53e71851","target":"record","created_at":"2026-05-18T02:35:01Z","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":"1979bd39779464a4ee26a21529e9b6c3b3f12e6ccf904a26c260793dfc511772","cross_cats_sorted":["hep-ph","math-ph","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-01-29T16:27:52Z","title_canon_sha256":"c5833d4d9563491531a6dd0abd0ce81f395d01de84b07be4a25554397af096c5"},"schema_version":"1.0","source":{"id":"0901.4716","kind":"arxiv","version":3}},"canonical_sha256":"dd5f5569821c6e52d6fc13e0e3f1bb7e94bd74fe54d7d70f2a489ada4895512c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd5f5569821c6e52d6fc13e0e3f1bb7e94bd74fe54d7d70f2a489ada4895512c","first_computed_at":"2026-05-18T02:35:01.552904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:01.552904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/1MHPK+xY6kZmW613DAdtwKH7x/yGU8Qdltk+DvD58X/Ige9KeGKGh23dsrl6MmMikhpKGJpRQ8hUXjUGR3DCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:01.553283Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.4716","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff16b2eb7ed9897a87d7fc645f1c4ba53e2f7be49a40d2a414662a8b53e71851","sha256:ea52bff344dad90e3e27b7567a2861bfadc13bacbf00f21c6b9b5540b30b1b95"],"state_sha256":"2a8407135a5cd7e915b0fb40a6af48d7ff0a71c5d0adb5acf500bec970b057e6"}