{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JBOLOF5KUJCJ242C2XZU6S6YF5","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":"d8b401cc99a13a12fba1f6f0eb9efa618247f77fe20c0a36143498ff44c64833","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-12T16:03:32Z","title_canon_sha256":"ae7593e2aa0fcd2f45580ad3696da5e6a4b29f0162670ce4f1a67192a870fa70"},"schema_version":"1.0","source":{"id":"1604.03464","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03464","created_at":"2026-05-18T01:16:37Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03464v2","created_at":"2026-05-18T01:16:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03464","created_at":"2026-05-18T01:16:37Z"},{"alias_kind":"pith_short_12","alias_value":"JBOLOF5KUJCJ","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"JBOLOF5KUJCJ242C","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"JBOLOF5K","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:912ef702eb077670323ad84e805d4ca443ac7a685a7bb9d503a9cea90c8ef55b","target":"graph","created_at":"2026-05-18T01:16:37Z","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":"Let K be the function field of a curve over the complex field. Let X be a homogeneous space of a semisimple linear algebraic group. Strong approximation holds for X outside any finite nonempty set of places of K. Strong approximation fails for tori over K.","authors_text":"Jean-Louis Colliot-Th\\'el\\`ene","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-12T16:03:32Z","title":"Approximation forte pour les espaces homog\\`enes de groupes semisimples sur le corps des fonctions d'une courbe alg\\'ebrique complexe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03464","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":"sha256:3b086a86738ea9e518008cceb34eaae97d3d351ebd83370510b9b0c3b282ed2c","target":"record","created_at":"2026-05-18T01:16:37Z","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":"d8b401cc99a13a12fba1f6f0eb9efa618247f77fe20c0a36143498ff44c64833","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-12T16:03:32Z","title_canon_sha256":"ae7593e2aa0fcd2f45580ad3696da5e6a4b29f0162670ce4f1a67192a870fa70"},"schema_version":"1.0","source":{"id":"1604.03464","kind":"arxiv","version":2}},"canonical_sha256":"485cb717aaa2449d7342d5f34f4bd82f45af06c6ab1fe04abbf0e606e3c5f291","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"485cb717aaa2449d7342d5f34f4bd82f45af06c6ab1fe04abbf0e606e3c5f291","first_computed_at":"2026-05-18T01:16:37.404481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:37.404481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jBvbzUJi2tcll0n6D93NJTHMiGtXJwDy1lOaX8TR2838ztea9EJSMLFhghVeme4Kka2vKG65EkLmIaq1XIetAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:37.405097Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03464","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b086a86738ea9e518008cceb34eaae97d3d351ebd83370510b9b0c3b282ed2c","sha256:912ef702eb077670323ad84e805d4ca443ac7a685a7bb9d503a9cea90c8ef55b"],"state_sha256":"283a3ef2f34d124866701977234ef022ac636e70053f328d00b963d58e9996e2"}