{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:KSEPB6CSDPBAJ34X4FKMBMXAEF","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":"1d3cdad23491e0f04276951d05f52764727edbc486ef373016cdcacca618f5b9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-08-20T17:47:23Z","title_canon_sha256":"4eda67951cd33ba37b0d214b395ce4c05519e5819c574ccea5fd2d05b03d9585"},"schema_version":"1.0","source":{"id":"2508.14876","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.14876","created_at":"2026-07-05T11:56:45Z"},{"alias_kind":"arxiv_version","alias_value":"2508.14876v1","created_at":"2026-07-05T11:56:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.14876","created_at":"2026-07-05T11:56:45Z"},{"alias_kind":"pith_short_12","alias_value":"KSEPB6CSDPBA","created_at":"2026-07-05T11:56:45Z"},{"alias_kind":"pith_short_16","alias_value":"KSEPB6CSDPBAJ34X","created_at":"2026-07-05T11:56:45Z"},{"alias_kind":"pith_short_8","alias_value":"KSEPB6CS","created_at":"2026-07-05T11:56:45Z"}],"graph_snapshots":[{"event_id":"sha256:57613a5a5704240215b4e6d8e39c3fa1f074651c144b6b37d589ff9d67d74500","target":"graph","created_at":"2026-07-05T11:56:45Z","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/2508.14876/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a surface over $\\overline{\\mathbb{F}}_p$ with $\\pi_1^{\\'{e}t}(X) = 1$ that is supersingular -- in the sense that $H^2_{\\'{e}t}(X, \\mathbb{Q}_{\\ell}(1))$ is spanned by algebraic cycles -- but is not unirational. This provides a counterexample to a 1977 conjecture of Shioda. To achieve this, we produce new obstructions to unirationality for product-quotient surfaces.","authors_text":"Benjamin Church","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-08-20T17:47:23Z","title":"Obstructions to unirationality for product-quotient surfaces over $\\overline{\\mathbb{F}}_p$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.14876","kind":"arxiv","version":1},"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:dfaafa4e0b8740c8b819143c9a512ba3d6c8714948e1157e570909696002f168","target":"record","created_at":"2026-07-05T11:56:45Z","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":"1d3cdad23491e0f04276951d05f52764727edbc486ef373016cdcacca618f5b9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2025-08-20T17:47:23Z","title_canon_sha256":"4eda67951cd33ba37b0d214b395ce4c05519e5819c574ccea5fd2d05b03d9585"},"schema_version":"1.0","source":{"id":"2508.14876","kind":"arxiv","version":1}},"canonical_sha256":"5488f0f8521bc204ef97e154c0b2e02140756016771de1c534599b8279307685","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5488f0f8521bc204ef97e154c0b2e02140756016771de1c534599b8279307685","first_computed_at":"2026-07-05T11:56:45.812382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:56:45.812382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F7+duuUUoIxHgJabgo4IjL6JErp3p/YrhsGcgKxDaModck+AFifFio2O7e20eoKenUob96CvlVbfCEhawlZPBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:56:45.812856Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.14876","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfaafa4e0b8740c8b819143c9a512ba3d6c8714948e1157e570909696002f168","sha256:57613a5a5704240215b4e6d8e39c3fa1f074651c144b6b37d589ff9d67d74500"],"state_sha256":"0c3f76744b668c503994b74e72d2fabbfd0b38b5ca6baa5dcd000f2fa96dbb26"}