{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:L4XMUW6KIWY4THXOCY5R3JN35Y","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":"14fa094492231532cf720b17aad99cb707f6f225cf9e9d14f7c66e1c151532aa","cross_cats_sorted":["math.NT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-09-29T15:39:51Z","title_canon_sha256":"ebfb6529ec335b20cf5ea5f83445bb1d08f843515a0d70aa1ec274d4f99360b3"},"schema_version":"1.0","source":{"id":"2409.19742","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.19742","created_at":"2026-07-05T09:22:22Z"},{"alias_kind":"arxiv_version","alias_value":"2409.19742v1","created_at":"2026-07-05T09:22:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.19742","created_at":"2026-07-05T09:22:22Z"},{"alias_kind":"pith_short_12","alias_value":"L4XMUW6KIWY4","created_at":"2026-07-05T09:22:22Z"},{"alias_kind":"pith_short_16","alias_value":"L4XMUW6KIWY4THXO","created_at":"2026-07-05T09:22:22Z"},{"alias_kind":"pith_short_8","alias_value":"L4XMUW6K","created_at":"2026-07-05T09:22:22Z"}],"graph_snapshots":[{"event_id":"sha256:110fccb402aa3ed84ae0e9e5eccdae9174230d1b70e3df61f5b75e29463948bc","target":"graph","created_at":"2026-07-05T09:22:22Z","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/2409.19742/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Given a Z_p-linear local system over a smooth rigid space, we show that it is crystalline (resp. semi-stable) with respect to any smooth (resp. semi-stable) integral model if and only if its restrictions at many classical points are crystalline (resp. semi-stable) representations. To this end, we introduce a crystalline Riemann--Hilbert functor, and give several applications, including a semi-stable comparison theorem in the relative setting.","authors_text":"Haoyang Guo, Ziquan Yang","cross_cats":["math.NT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-09-29T15:39:51Z","title":"Pointwise criteria of p-adic local systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.19742","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":"sha256:83b7a1cb423417430c22239c3fea34fc6927da6a620fbe2f7243b227c1e5280c","target":"record","created_at":"2026-07-05T09:22:22Z","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":"14fa094492231532cf720b17aad99cb707f6f225cf9e9d14f7c66e1c151532aa","cross_cats_sorted":["math.NT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-09-29T15:39:51Z","title_canon_sha256":"ebfb6529ec335b20cf5ea5f83445bb1d08f843515a0d70aa1ec274d4f99360b3"},"schema_version":"1.0","source":{"id":"2409.19742","kind":"arxiv","version":1}},"canonical_sha256":"5f2eca5bca45b1c99eee163b1da5bbee3e2dbdfc68cc523b16d2c08447c63ffd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f2eca5bca45b1c99eee163b1da5bbee3e2dbdfc68cc523b16d2c08447c63ffd","first_computed_at":"2026-07-05T09:22:22.074887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:22:22.074887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"To33ZpENbVP3cp2/EdgCq9R0PFcYfvRfJ2FWYuFtbZis4fC65VgIbdt4BW9s1NFmaVJrlVfUy6kXTRR72PNfDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:22:22.075361Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.19742","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83b7a1cb423417430c22239c3fea34fc6927da6a620fbe2f7243b227c1e5280c","sha256:110fccb402aa3ed84ae0e9e5eccdae9174230d1b70e3df61f5b75e29463948bc"],"state_sha256":"870160346a1c045894d6553bd6187c3004f080ce79daacbea2445817d7572bc7"}