{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ZUR3UQ7NLLV5QGZLH5L36CDQ4K","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":"18c648144df5ade621a76585a38cf52975d39d0b09a877430ae84aa743bfeb51","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-18T21:02:52Z","title_canon_sha256":"cdd467fac5181839c132718530d10dd9b8cbb095c41e2b8471ae79b0fd584c64"},"schema_version":"1.0","source":{"id":"1710.06935","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.06935","created_at":"2026-05-18T00:32:27Z"},{"alias_kind":"arxiv_version","alias_value":"1710.06935v1","created_at":"2026-05-18T00:32:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.06935","created_at":"2026-05-18T00:32:27Z"},{"alias_kind":"pith_short_12","alias_value":"ZUR3UQ7NLLV5","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZUR3UQ7NLLV5QGZL","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZUR3UQ7N","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:ffe2a87312b62c41788a85ceca59f55604e867d9bc046b4058d6b0677a11042f","target":"graph","created_at":"2026-05-18T00:32:27Z","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"},"paper":{"abstract_excerpt":"We prove the Fargues-Rapoport conjecture for p-adic period domains: for a reductive group G over a p-adic field and a minuscule cocharacter {\\mu} of G, the weakly admissible locus coincides with the admissible one if and only if the Kottwitz set B(G,{\\mu}) is fully Hodge-Newton decomposable.","authors_text":"Laurent Fargues, Miaofen Chen, Xu Shen","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-18T21:02:52Z","title":"On the structure of some p-adic period domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06935","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:e81a329c0c8dea9db644ccae5bd6a04def8716fc403ee811cdd9deb9771e99bb","target":"record","created_at":"2026-05-18T00:32:27Z","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":"18c648144df5ade621a76585a38cf52975d39d0b09a877430ae84aa743bfeb51","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-10-18T21:02:52Z","title_canon_sha256":"cdd467fac5181839c132718530d10dd9b8cbb095c41e2b8471ae79b0fd584c64"},"schema_version":"1.0","source":{"id":"1710.06935","kind":"arxiv","version":1}},"canonical_sha256":"cd23ba43ed5aebd81b2b3f57bf0870e2872ce7e5d37759a65ba31a1e36fc9164","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd23ba43ed5aebd81b2b3f57bf0870e2872ce7e5d37759a65ba31a1e36fc9164","first_computed_at":"2026-05-18T00:32:27.611478Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:27.611478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6p9W2Ezl7Le95yMK7AdVA1CJb4A4Qdzto6vzWsOa+WrWh+f+dUyEbSERFxD8feju1aLc0mKwaA9C+shqEqytBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:27.612054Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.06935","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e81a329c0c8dea9db644ccae5bd6a04def8716fc403ee811cdd9deb9771e99bb","sha256:ffe2a87312b62c41788a85ceca59f55604e867d9bc046b4058d6b0677a11042f"],"state_sha256":"a985199f088a9869dd33352fe7fac878220ebf31412fae529a4b34f81e64781d"}