{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:53PTSSLWBBYASMTWE7BNYUU5V5","short_pith_number":"pith:53PTSSLW","schema_version":"1.0","canonical_sha256":"eedf394976087009327627c2dc529daf57418551852e2913e0e3819dd687a194","source":{"kind":"arxiv","id":"2606.22637","version":1},"attestation_state":"computed","paper":{"title":"Ogus's conjecture on F-isocrystals","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Haoyang Guo","submitted_at":"2026-06-21T18:51:22Z","abstract_excerpt":"In 1984, Ogus conjectured the existence of a canonical F-isocrystal that enhances the Gauss--Manin connection, for a proper relative rigid space with analytically good reduction. We give a positive answer to this conjecture in full generality, through p-adic local systems and prismatic methods. Along the way, we introduce a prismatic refinement of the p-adic Riemann--Hilbert functor and prove a primitive purity theorem for Frobenius modules."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.22637","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2026-06-21T18:51:22Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"a47a07684794c07d49d7259a7bece895bf22be0eadfc800f19d44771814729e5","abstract_canon_sha256":"47c1ff3fbe1924c610a40bd449cc3c9a041f164a81f2eac369129291597c4369"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T02:13:43.711428Z","signature_b64":"OmbhWxHLaiB+yHZKjLXsN8M84pqjEbBurjEppEEBOS/I4bNcwD96J8M7YR0jpxi1ufuWEJdiIlLaPfA4C0z8Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eedf394976087009327627c2dc529daf57418551852e2913e0e3819dd687a194","last_reissued_at":"2026-06-23T02:13:43.710974Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T02:13:43.710974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ogus's conjecture on F-isocrystals","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Haoyang Guo","submitted_at":"2026-06-21T18:51:22Z","abstract_excerpt":"In 1984, Ogus conjectured the existence of a canonical F-isocrystal that enhances the Gauss--Manin connection, for a proper relative rigid space with analytically good reduction. We give a positive answer to this conjecture in full generality, through p-adic local systems and prismatic methods. Along the way, we introduce a prismatic refinement of the p-adic Riemann--Hilbert functor and prove a primitive purity theorem for Frobenius modules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.22637","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.22637/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.22637","created_at":"2026-06-23T02:13:43.711064+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.22637v1","created_at":"2026-06-23T02:13:43.711064+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.22637","created_at":"2026-06-23T02:13:43.711064+00:00"},{"alias_kind":"pith_short_12","alias_value":"53PTSSLWBBYA","created_at":"2026-06-23T02:13:43.711064+00:00"},{"alias_kind":"pith_short_16","alias_value":"53PTSSLWBBYASMTW","created_at":"2026-06-23T02:13:43.711064+00:00"},{"alias_kind":"pith_short_8","alias_value":"53PTSSLW","created_at":"2026-06-23T02:13:43.711064+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/53PTSSLWBBYASMTWE7BNYUU5V5","json":"https://pith.science/pith/53PTSSLWBBYASMTWE7BNYUU5V5.json","graph_json":"https://pith.science/api/pith-number/53PTSSLWBBYASMTWE7BNYUU5V5/graph.json","events_json":"https://pith.science/api/pith-number/53PTSSLWBBYASMTWE7BNYUU5V5/events.json","paper":"https://pith.science/paper/53PTSSLW"},"agent_actions":{"view_html":"https://pith.science/pith/53PTSSLWBBYASMTWE7BNYUU5V5","download_json":"https://pith.science/pith/53PTSSLWBBYASMTWE7BNYUU5V5.json","view_paper":"https://pith.science/paper/53PTSSLW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.22637&json=true","fetch_graph":"https://pith.science/api/pith-number/53PTSSLWBBYASMTWE7BNYUU5V5/graph.json","fetch_events":"https://pith.science/api/pith-number/53PTSSLWBBYASMTWE7BNYUU5V5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/53PTSSLWBBYASMTWE7BNYUU5V5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/53PTSSLWBBYASMTWE7BNYUU5V5/action/storage_attestation","attest_author":"https://pith.science/pith/53PTSSLWBBYASMTWE7BNYUU5V5/action/author_attestation","sign_citation":"https://pith.science/pith/53PTSSLWBBYASMTWE7BNYUU5V5/action/citation_signature","submit_replication":"https://pith.science/pith/53PTSSLWBBYASMTWE7BNYUU5V5/action/replication_record"}},"created_at":"2026-06-23T02:13:43.711064+00:00","updated_at":"2026-06-23T02:13:43.711064+00:00"}