{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:SNLAERS7PSPGSG5MXYO7IKROGT","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":"c5161c3fb9544e405970255507afec599d90302c7ce932a0162d58bbe56248c4","cross_cats_sorted":["gr-qc","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-20T18:00:06Z","title_canon_sha256":"c7cbb60de1b3296af64eb2a0844fa0bea040b0f1c979c10c94affe25652c323f"},"schema_version":"1.0","source":{"id":"2409.13815","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.13815","created_at":"2026-07-05T10:36:28Z"},{"alias_kind":"arxiv_version","alias_value":"2409.13815v3","created_at":"2026-07-05T10:36:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.13815","created_at":"2026-07-05T10:36:28Z"},{"alias_kind":"pith_short_12","alias_value":"SNLAERS7PSPG","created_at":"2026-07-05T10:36:28Z"},{"alias_kind":"pith_short_16","alias_value":"SNLAERS7PSPGSG5M","created_at":"2026-07-05T10:36:28Z"},{"alias_kind":"pith_short_8","alias_value":"SNLAERS7","created_at":"2026-07-05T10:36:28Z"}],"graph_snapshots":[{"event_id":"sha256:e0aff1bc29c176ee582b9f10f63d89c323334af2e03c2d9cb637d19b27783406","target":"graph","created_at":"2026-07-05T10:36:28Z","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/2409.13815/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A powerful approach to computing Feynman integrals or cosmological correlators is to consider them as solution to systems of differential equations. Often these can be chosen to be Gelfand-Kapranov-Zelevinsky (GKZ) systems. However, their naive construction introduces a significant amount of unnecessary complexity. In this paper we present an algorithm which allows for reducing these GKZ systems to smaller subsystems if a parameter associated to the GKZ systems is resonant. These simpler subsystems can then be solved separately resulting in solutions for the full system. The algorithm makes it","authors_text":"Arno Hoefnagels, Thomas W. Grimm","cross_cats":["gr-qc","math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-20T18:00:06Z","title":"Reductions of GKZ Systems and Applications to Cosmological Correlators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.13815","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":"sha256:3ec7bdc6e46609b983fdc2dc4896e4d6a7b8a7a91d8fbe5b267fa8b2222356ef","target":"record","created_at":"2026-07-05T10:36:28Z","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":"c5161c3fb9544e405970255507afec599d90302c7ce932a0162d58bbe56248c4","cross_cats_sorted":["gr-qc","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-20T18:00:06Z","title_canon_sha256":"c7cbb60de1b3296af64eb2a0844fa0bea040b0f1c979c10c94affe25652c323f"},"schema_version":"1.0","source":{"id":"2409.13815","kind":"arxiv","version":3}},"canonical_sha256":"935602465f7c9e691bacbe1df42a2e34fd38054b5a59958371d191bc9e4a6fe2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"935602465f7c9e691bacbe1df42a2e34fd38054b5a59958371d191bc9e4a6fe2","first_computed_at":"2026-07-05T10:36:28.745600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:36:28.745600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VzXFozGWfF7DiqtbR5dcXemG8TNrWNTVuivM0QZn5arw4aN1cKALL5sc/3xvoV6i16YpNdSmaKcXpAR9LdgwCA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:36:28.746499Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.13815","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ec7bdc6e46609b983fdc2dc4896e4d6a7b8a7a91d8fbe5b267fa8b2222356ef","sha256:e0aff1bc29c176ee582b9f10f63d89c323334af2e03c2d9cb637d19b27783406"],"state_sha256":"659dbd22c80cd821591ef49cc16d473fd381bd971eab28b98abfb2fe00bb3e94"}