{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:6EZIPQSYEAHZL2ADDSUARQ3Z77","short_pith_number":"pith:6EZIPQSY","schema_version":"1.0","canonical_sha256":"f13287c258200f95e8031ca808c379ffcc1891fd0bd97f34659c84d6213ce9db","source":{"kind":"arxiv","id":"math/0703103","version":1},"attestation_state":"computed","paper":{"title":"Conjecture of Tits type for complex varieties and Theorem of Lie-Kolchin type for a cone","license":"","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"De-Qi Zhang, JongHae Keum, Keiji Oguiso","submitted_at":"2007-03-04T08:37:14Z","abstract_excerpt":"First, we shall formulate and prove Theorem of Lie-Kolchin type for a cone and derive some algebro-geometric consequences. Next, inspired by a recent result of Dinh and Sibony we pose a conjecture of Tits type for a group of automorphisms of a complex variety and verify its weaker version. Finally, applying Theorem of Lie-Kolchin type for a cone, we shall confirm the conjecture of Tits type for complex tori, hyperk\\\"ahler manifolds, surfaces, and minimal threefolds."},"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":"math/0703103","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2007-03-04T08:37:14Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"2a1870d69d96654747c6178da4fcc29fe9954151d346875a1e7a33c2b229203d","abstract_canon_sha256":"4b96c4874564f9601d73ae91d5aeadafe05dfb4a188e8fd89fba0b48eb97b124"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:57.481789Z","signature_b64":"Y8vY3V0Q8aStjS2ax/oQIzs8w3GEvTbvAQTFQbo9QlE2C8QZpSPrQ9shVubShztMwi7Uf1wf+mN+9suCQtZYCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f13287c258200f95e8031ca808c379ffcc1891fd0bd97f34659c84d6213ce9db","last_reissued_at":"2026-05-18T00:12:57.481118Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:57.481118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conjecture of Tits type for complex varieties and Theorem of Lie-Kolchin type for a cone","license":"","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"De-Qi Zhang, JongHae Keum, Keiji Oguiso","submitted_at":"2007-03-04T08:37:14Z","abstract_excerpt":"First, we shall formulate and prove Theorem of Lie-Kolchin type for a cone and derive some algebro-geometric consequences. Next, inspired by a recent result of Dinh and Sibony we pose a conjecture of Tits type for a group of automorphisms of a complex variety and verify its weaker version. Finally, applying Theorem of Lie-Kolchin type for a cone, we shall confirm the conjecture of Tits type for complex tori, hyperk\\\"ahler manifolds, surfaces, and minimal threefolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0703103","kind":"arxiv","version":1},"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":"math/0703103","created_at":"2026-05-18T00:12:57.481240+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0703103v1","created_at":"2026-05-18T00:12:57.481240+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0703103","created_at":"2026-05-18T00:12:57.481240+00:00"},{"alias_kind":"pith_short_12","alias_value":"6EZIPQSYEAHZ","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6EZIPQSYEAHZL2AD","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6EZIPQSY","created_at":"2026-05-18T12:25:55.427421+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/6EZIPQSYEAHZL2ADDSUARQ3Z77","json":"https://pith.science/pith/6EZIPQSYEAHZL2ADDSUARQ3Z77.json","graph_json":"https://pith.science/api/pith-number/6EZIPQSYEAHZL2ADDSUARQ3Z77/graph.json","events_json":"https://pith.science/api/pith-number/6EZIPQSYEAHZL2ADDSUARQ3Z77/events.json","paper":"https://pith.science/paper/6EZIPQSY"},"agent_actions":{"view_html":"https://pith.science/pith/6EZIPQSYEAHZL2ADDSUARQ3Z77","download_json":"https://pith.science/pith/6EZIPQSYEAHZL2ADDSUARQ3Z77.json","view_paper":"https://pith.science/paper/6EZIPQSY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0703103&json=true","fetch_graph":"https://pith.science/api/pith-number/6EZIPQSYEAHZL2ADDSUARQ3Z77/graph.json","fetch_events":"https://pith.science/api/pith-number/6EZIPQSYEAHZL2ADDSUARQ3Z77/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6EZIPQSYEAHZL2ADDSUARQ3Z77/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6EZIPQSYEAHZL2ADDSUARQ3Z77/action/storage_attestation","attest_author":"https://pith.science/pith/6EZIPQSYEAHZL2ADDSUARQ3Z77/action/author_attestation","sign_citation":"https://pith.science/pith/6EZIPQSYEAHZL2ADDSUARQ3Z77/action/citation_signature","submit_replication":"https://pith.science/pith/6EZIPQSYEAHZL2ADDSUARQ3Z77/action/replication_record"}},"created_at":"2026-05-18T00:12:57.481240+00:00","updated_at":"2026-05-18T00:12:57.481240+00:00"}