{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:JBOLOF5KUJCJ242C2XZU6S6YF5","short_pith_number":"pith:JBOLOF5K","schema_version":"1.0","canonical_sha256":"485cb717aaa2449d7342d5f34f4bd82f45af06c6ab1fe04abbf0e606e3c5f291","source":{"kind":"arxiv","id":"1604.03464","version":2},"attestation_state":"computed","paper":{"title":"Approximation forte pour les espaces homog\\`enes de groupes semisimples sur le corps des fonctions d'une courbe alg\\'ebrique complexe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AG","authors_text":"Jean-Louis Colliot-Th\\'el\\`ene","submitted_at":"2016-04-12T16:03:32Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1604.03464","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-04-12T16:03:32Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"ae7593e2aa0fcd2f45580ad3696da5e6a4b29f0162670ce4f1a67192a870fa70","abstract_canon_sha256":"d8b401cc99a13a12fba1f6f0eb9efa618247f77fe20c0a36143498ff44c64833"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:37.405097Z","signature_b64":"jBvbzUJi2tcll0n6D93NJTHMiGtXJwDy1lOaX8TR2838ztea9EJSMLFhghVeme4Kka2vKG65EkLmIaq1XIetAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"485cb717aaa2449d7342d5f34f4bd82f45af06c6ab1fe04abbf0e606e3c5f291","last_reissued_at":"2026-05-18T01:16:37.404481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:37.404481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Approximation forte pour les espaces homog\\`enes de groupes semisimples sur le corps des fonctions d'une courbe alg\\'ebrique complexe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AG","authors_text":"Jean-Louis Colliot-Th\\'el\\`ene","submitted_at":"2016-04-12T16:03:32Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03464","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1604.03464","created_at":"2026-05-18T01:16:37.404552+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.03464v2","created_at":"2026-05-18T01:16:37.404552+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03464","created_at":"2026-05-18T01:16:37.404552+00:00"},{"alias_kind":"pith_short_12","alias_value":"JBOLOF5KUJCJ","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"JBOLOF5KUJCJ242C","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"JBOLOF5K","created_at":"2026-05-18T12:30:22.444734+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JBOLOF5KUJCJ242C2XZU6S6YF5","json":"https://pith.science/pith/JBOLOF5KUJCJ242C2XZU6S6YF5.json","graph_json":"https://pith.science/api/pith-number/JBOLOF5KUJCJ242C2XZU6S6YF5/graph.json","events_json":"https://pith.science/api/pith-number/JBOLOF5KUJCJ242C2XZU6S6YF5/events.json","paper":"https://pith.science/paper/JBOLOF5K"},"agent_actions":{"view_html":"https://pith.science/pith/JBOLOF5KUJCJ242C2XZU6S6YF5","download_json":"https://pith.science/pith/JBOLOF5KUJCJ242C2XZU6S6YF5.json","view_paper":"https://pith.science/paper/JBOLOF5K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.03464&json=true","fetch_graph":"https://pith.science/api/pith-number/JBOLOF5KUJCJ242C2XZU6S6YF5/graph.json","fetch_events":"https://pith.science/api/pith-number/JBOLOF5KUJCJ242C2XZU6S6YF5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JBOLOF5KUJCJ242C2XZU6S6YF5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JBOLOF5KUJCJ242C2XZU6S6YF5/action/storage_attestation","attest_author":"https://pith.science/pith/JBOLOF5KUJCJ242C2XZU6S6YF5/action/author_attestation","sign_citation":"https://pith.science/pith/JBOLOF5KUJCJ242C2XZU6S6YF5/action/citation_signature","submit_replication":"https://pith.science/pith/JBOLOF5KUJCJ242C2XZU6S6YF5/action/replication_record"}},"created_at":"2026-05-18T01:16:37.404552+00:00","updated_at":"2026-05-18T01:16:37.404552+00:00"}