{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ETJA6WLEHFKL2BW7MNTB6GOAMY","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":"6dec8cd7e8315190d8464363b8621cc2b72569339fb126ca08a6bd477e878a95","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2012-01-20T10:05:10Z","title_canon_sha256":"4d27afe1b73ef3321127744227df1df2d74d274b709004d1faf9d476a0340fb0"},"schema_version":"1.0","source":{"id":"1201.4245","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.4245","created_at":"2026-05-18T03:42:33Z"},{"alias_kind":"arxiv_version","alias_value":"1201.4245v2","created_at":"2026-05-18T03:42:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4245","created_at":"2026-05-18T03:42:33Z"},{"alias_kind":"pith_short_12","alias_value":"ETJA6WLEHFKL","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"ETJA6WLEHFKL2BW7","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"ETJA6WLE","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:0bc0d6d728067c2b2bfc34deeb00603f0b5c597bc415d8c61602020ef8a2c78e","target":"graph","created_at":"2026-05-18T03:42:33Z","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":"In this two-part paper we prove an existence result for affine buildings arising from exceptional algebraic reductive groups. Combined with earlier results on classical groups, this gives a complete and positive answer to the conjecture concerning the existence of affine buildings arising from such groups defined over a (skew) field with a complete valuation, as proposed by Jacques Tits.\n  This first part lays the foundations for our approach and deals with the `large minimal angle' case.","authors_text":"Bernhard M\\\"uhlherr, Hendrik Van Maldeghem, Koen Struyve","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2012-01-20T10:05:10Z","title":"Descent of affine buildings - I. Large minimal angles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4245","kind":"arxiv","version":2},"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:b8a154dd1e5b1f91b74de10789218f91d728b29b6004e265a65a72503f0d928a","target":"record","created_at":"2026-05-18T03:42:33Z","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":"6dec8cd7e8315190d8464363b8621cc2b72569339fb126ca08a6bd477e878a95","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2012-01-20T10:05:10Z","title_canon_sha256":"4d27afe1b73ef3321127744227df1df2d74d274b709004d1faf9d476a0340fb0"},"schema_version":"1.0","source":{"id":"1201.4245","kind":"arxiv","version":2}},"canonical_sha256":"24d20f59643954bd06df63661f19c06625ffe52202fefef95f16b09aed35884d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24d20f59643954bd06df63661f19c06625ffe52202fefef95f16b09aed35884d","first_computed_at":"2026-05-18T03:42:33.946429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:33.946429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mRaYb1bBpTJU3ZZEk7h/JNPWtnAy7wUU5KPCxeAWn4UBK767mIIMgciZOhrbLqC3v2IIPdOalcVuIWbI5ISOBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:33.947051Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.4245","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8a154dd1e5b1f91b74de10789218f91d728b29b6004e265a65a72503f0d928a","sha256:0bc0d6d728067c2b2bfc34deeb00603f0b5c597bc415d8c61602020ef8a2c78e"],"state_sha256":"260d9530299ff458bd465f9e516244ff4ccac5f688e39a0b0195132773cc3bac"}