{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:QPI2AMLKEKVVX3HW7JEUERBIMW","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":"f10b926f6543a00737175462ea7b5f8e67b40b2f6c2a9cab88133ca3594221dc","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2023-10-10T19:49:31Z","title_canon_sha256":"a281bfe0406771dd7f03d0421e8e3d47f21bd2d322ccced9d359e2284c935114"},"schema_version":"1.0","source":{"id":"2310.06971","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.06971","created_at":"2026-07-05T08:24:57Z"},{"alias_kind":"arxiv_version","alias_value":"2310.06971v3","created_at":"2026-07-05T08:24:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.06971","created_at":"2026-07-05T08:24:57Z"},{"alias_kind":"pith_short_12","alias_value":"QPI2AMLKEKVV","created_at":"2026-07-05T08:24:57Z"},{"alias_kind":"pith_short_16","alias_value":"QPI2AMLKEKVVX3HW","created_at":"2026-07-05T08:24:57Z"},{"alias_kind":"pith_short_8","alias_value":"QPI2AMLK","created_at":"2026-07-05T08:24:57Z"}],"graph_snapshots":[{"event_id":"sha256:3c14c88c41b78ec5b9cecd828d4f8ffcb337e30e684633cecf9bdce71fe7caa0","target":"graph","created_at":"2026-07-05T08:24:57Z","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/2310.06971/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For a fixed positive integer $e$, we describe an algorithm for computing, for all primes $p \\leq X$, the mod-$p^e$ reduction of the trace of Frobenius at $p$ of a fixed hypergeometric motive over $\\mathbb{Q}$ in time quasilinear in $X$. This extends our previous work for the mod-$p$ reduction, again combining the Beukers--Cohen--Mellit trace formula with average polynomial time techniques of Harvey and Harvey--Sutherland; the key new ingredient is an expanded version of Harvey's \"generic prime\" construction, making it possible to incorporate certain $p$-adic transcendental functions into the c","authors_text":"David Roe, Edgar Costa, Kiran S. Kedlaya","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2023-10-10T19:49:31Z","title":"Hypergeometric $L$-functions in average polynomial time, II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.06971","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:ae64391a7327cd125c46d0afc72fdeb327a1a2a929d8df68c7fcf14975d53fd2","target":"record","created_at":"2026-07-05T08:24:57Z","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":"f10b926f6543a00737175462ea7b5f8e67b40b2f6c2a9cab88133ca3594221dc","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2023-10-10T19:49:31Z","title_canon_sha256":"a281bfe0406771dd7f03d0421e8e3d47f21bd2d322ccced9d359e2284c935114"},"schema_version":"1.0","source":{"id":"2310.06971","kind":"arxiv","version":3}},"canonical_sha256":"83d1a0316a22ab5becf6fa4942442865b620f8be151897c1c924d083a9c5f00f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83d1a0316a22ab5becf6fa4942442865b620f8be151897c1c924d083a9c5f00f","first_computed_at":"2026-07-05T08:24:57.679335Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:24:57.679335Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ohcSJrB8JF7JeKXzCb4ZcLEPSMrzmq7ukzT1YzUoPPsNMjKB1Qzwkic9OBgOmCcVhfwqzNzNAnfDYhkOQLkpDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:24:57.679810Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.06971","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae64391a7327cd125c46d0afc72fdeb327a1a2a929d8df68c7fcf14975d53fd2","sha256:3c14c88c41b78ec5b9cecd828d4f8ffcb337e30e684633cecf9bdce71fe7caa0"],"state_sha256":"e8877f2c22ce911733ec242b9ad1d23033193608b4abac2f68abbbe4aa2c79d3"}