{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:AUVEBVEMPOVJ4Y7O7A5ONPC7MT","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":"ecdc611926f2a2d5d5c9c61de40a73fc9b8cf59016936aeca4b8656f43d90188","cross_cats_sorted":["math.AG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-10-12T16:29:38Z","title_canon_sha256":"6186bb205fa1867c56d99254a76a6568a7e3693c41539b70358b5a169e8d102f"},"schema_version":"1.0","source":{"id":"2310.08472","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.08472","created_at":"2026-07-05T10:53:08Z"},{"alias_kind":"arxiv_version","alias_value":"2310.08472v5","created_at":"2026-07-05T10:53:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.08472","created_at":"2026-07-05T10:53:08Z"},{"alias_kind":"pith_short_12","alias_value":"AUVEBVEMPOVJ","created_at":"2026-07-05T10:53:08Z"},{"alias_kind":"pith_short_16","alias_value":"AUVEBVEMPOVJ4Y7O","created_at":"2026-07-05T10:53:08Z"},{"alias_kind":"pith_short_8","alias_value":"AUVEBVEM","created_at":"2026-07-05T10:53:08Z"}],"graph_snapshots":[{"event_id":"sha256:aab3a6cf4607b0ffe3ef48194f7d997117d349d6c919f0d1f963bbf4f955fe29","target":"graph","created_at":"2026-07-05T10:53:08Z","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/2310.08472/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For the integral canonical model $\\mathscr{S}_{\\mathsf{K}^p}$ of a Shimura variety $\\mathrm{Sh}_{\\mathsf{K}_0\\mathsf{K}^p}(\\mathbf{G},\\mathbf{X})$ of abelian type at hyperspecial level $K_0=\\mathcal{G}(\\mathbb{Z}_p)$, we construct a prismatic $F$-gauge model for the `universal' $\\mathcal{G}(\\mathbb{Z}_p)$-local system on $\\mathrm{Sh}_{\\mathsf{K}_0\\mathsf{K}^p}(\\mathbf{G},\\mathbf{X})$. We use this to obtain several new results about the $p$-adic geometry of Shimura varieties, notably an abelian-type analogue of the Serre--Tate deformation theorem (realizing an expectation of Drinfeld in the abe","authors_text":"Alex Youcis, Hiroki Kato, Naoki Imai","cross_cats":["math.AG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-10-12T16:29:38Z","title":"The prismatic realization functor for Shimura varieties of abelian type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.08472","kind":"arxiv","version":5},"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":"sha256:67b3bc3a4b11d69e092a5112cc4dc9fea952b136ebca0c742692b7b4e4c80bf9","target":"record","created_at":"2026-07-05T10:53:08Z","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":"ecdc611926f2a2d5d5c9c61de40a73fc9b8cf59016936aeca4b8656f43d90188","cross_cats_sorted":["math.AG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-10-12T16:29:38Z","title_canon_sha256":"6186bb205fa1867c56d99254a76a6568a7e3693c41539b70358b5a169e8d102f"},"schema_version":"1.0","source":{"id":"2310.08472","kind":"arxiv","version":5}},"canonical_sha256":"052a40d48c7baa9e63eef83ae6bc5f64e3ec64c3738292a8a9d4ea2c688ec6d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"052a40d48c7baa9e63eef83ae6bc5f64e3ec64c3738292a8a9d4ea2c688ec6d5","first_computed_at":"2026-07-05T10:53:08.509992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:53:08.509992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oCTUuKuJbLTjAGFxdBxo/Lc6FR09SZasMjHwmcCFVvL5xR/LBXKQ1EdUp04rVwsMZtGawCPnneYmDDsr3sWGCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:53:08.510467Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.08472","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67b3bc3a4b11d69e092a5112cc4dc9fea952b136ebca0c742692b7b4e4c80bf9","sha256:aab3a6cf4607b0ffe3ef48194f7d997117d349d6c919f0d1f963bbf4f955fe29"],"state_sha256":"31d6cd855f347bffda8c537ecc4a26df6e7c46d6cdd7a2c674ecd104acf38cb3"}