{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:ZNU6FTZ32RIPSXXERPRCSZUP76","short_pith_number":"pith:ZNU6FTZ3","canonical_record":{"source":{"id":"0805.4114","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-05-27T13:15:25Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"cf3b1fe53e6883aaa59be14366c3db54a69d4b6c5bee775a19c810e123214603","abstract_canon_sha256":"cfded28dfb985c9b85bcf417d4591168458770bea63707272babef6e4ff6491e"},"schema_version":"1.0"},"canonical_sha256":"cb69e2cf3bd450f95ee48be229668fff9fdb05aec25122a6d140a3b66cad2e04","source":{"kind":"arxiv","id":"0805.4114","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.4114","created_at":"2026-05-18T00:05:15Z"},{"alias_kind":"arxiv_version","alias_value":"0805.4114v2","created_at":"2026-05-18T00:05:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.4114","created_at":"2026-05-18T00:05:15Z"},{"alias_kind":"pith_short_12","alias_value":"ZNU6FTZ32RIP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"ZNU6FTZ32RIPSXXE","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"ZNU6FTZ3","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:ZNU6FTZ32RIPSXXERPRCSZUP76","target":"record","payload":{"canonical_record":{"source":{"id":"0805.4114","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-05-27T13:15:25Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"cf3b1fe53e6883aaa59be14366c3db54a69d4b6c5bee775a19c810e123214603","abstract_canon_sha256":"cfded28dfb985c9b85bcf417d4591168458770bea63707272babef6e4ff6491e"},"schema_version":"1.0"},"canonical_sha256":"cb69e2cf3bd450f95ee48be229668fff9fdb05aec25122a6d140a3b66cad2e04","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:15.192336Z","signature_b64":"/5ULPeKdtalDXJT3Fm5+wTxq91y6BP4Sc1TlASSJGIYeEez7MaGIPwOlFrt216jRoqREUvoq5lAQpOcaCXBNAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb69e2cf3bd450f95ee48be229668fff9fdb05aec25122a6d140a3b66cad2e04","last_reissued_at":"2026-05-18T00:05:15.191696Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:15.191696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0805.4114","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:05:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yXvdc6ZU4fOt3wHH9KmdFR33YPzdB/sId3GemykgHaUrdUQdilMTuwBlYm7khfzz6SLXjkmvtCVUN44H3oX8CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T08:18:05.496801Z"},"content_sha256":"c75b535b354947636a153dacb81270fae84d75f30feedcffc89f127a011fc5cb","schema_version":"1.0","event_id":"sha256:c75b535b354947636a153dacb81270fae84d75f30feedcffc89f127a011fc5cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:ZNU6FTZ32RIPSXXERPRCSZUP76","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A theorem of Tits type for compact Kahler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DS","authors_text":"De-Qi Zhang","submitted_at":"2008-05-27T13:15:25Z","abstract_excerpt":"We prove a theorem of Tits type about automorphism groups for compact Kahler manifolds, which has been conjectured in the paper [KOZ]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.4114","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:05:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bp/wWRPkJ3pU99rA3nXiT8d56xoAw/1odDdZ8VfucPBbZUnWFoANuUlJoe/h4V6dZTNRDkkiNIBhVQdf7WsMCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T08:18:05.497144Z"},"content_sha256":"31e39bdb3a278f6e83fe71692c29d84aa30f06929b4ae842eab1f09065e700dd","schema_version":"1.0","event_id":"sha256:31e39bdb3a278f6e83fe71692c29d84aa30f06929b4ae842eab1f09065e700dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZNU6FTZ32RIPSXXERPRCSZUP76/bundle.json","state_url":"https://pith.science/pith/ZNU6FTZ32RIPSXXERPRCSZUP76/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZNU6FTZ32RIPSXXERPRCSZUP76/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-20T08:18:05Z","links":{"resolver":"https://pith.science/pith/ZNU6FTZ32RIPSXXERPRCSZUP76","bundle":"https://pith.science/pith/ZNU6FTZ32RIPSXXERPRCSZUP76/bundle.json","state":"https://pith.science/pith/ZNU6FTZ32RIPSXXERPRCSZUP76/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZNU6FTZ32RIPSXXERPRCSZUP76/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:ZNU6FTZ32RIPSXXERPRCSZUP76","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":"cfded28dfb985c9b85bcf417d4591168458770bea63707272babef6e4ff6491e","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-05-27T13:15:25Z","title_canon_sha256":"cf3b1fe53e6883aaa59be14366c3db54a69d4b6c5bee775a19c810e123214603"},"schema_version":"1.0","source":{"id":"0805.4114","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.4114","created_at":"2026-05-18T00:05:15Z"},{"alias_kind":"arxiv_version","alias_value":"0805.4114v2","created_at":"2026-05-18T00:05:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.4114","created_at":"2026-05-18T00:05:15Z"},{"alias_kind":"pith_short_12","alias_value":"ZNU6FTZ32RIP","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"ZNU6FTZ32RIPSXXE","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"ZNU6FTZ3","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:31e39bdb3a278f6e83fe71692c29d84aa30f06929b4ae842eab1f09065e700dd","target":"graph","created_at":"2026-05-18T00:05:15Z","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 a theorem of Tits type about automorphism groups for compact Kahler manifolds, which has been conjectured in the paper [KOZ].","authors_text":"De-Qi Zhang","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-05-27T13:15:25Z","title":"A theorem of Tits type for compact Kahler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.4114","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:c75b535b354947636a153dacb81270fae84d75f30feedcffc89f127a011fc5cb","target":"record","created_at":"2026-05-18T00:05:15Z","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":"cfded28dfb985c9b85bcf417d4591168458770bea63707272babef6e4ff6491e","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2008-05-27T13:15:25Z","title_canon_sha256":"cf3b1fe53e6883aaa59be14366c3db54a69d4b6c5bee775a19c810e123214603"},"schema_version":"1.0","source":{"id":"0805.4114","kind":"arxiv","version":2}},"canonical_sha256":"cb69e2cf3bd450f95ee48be229668fff9fdb05aec25122a6d140a3b66cad2e04","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb69e2cf3bd450f95ee48be229668fff9fdb05aec25122a6d140a3b66cad2e04","first_computed_at":"2026-05-18T00:05:15.191696Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:15.191696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/5ULPeKdtalDXJT3Fm5+wTxq91y6BP4Sc1TlASSJGIYeEez7MaGIPwOlFrt216jRoqREUvoq5lAQpOcaCXBNAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:15.192336Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.4114","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c75b535b354947636a153dacb81270fae84d75f30feedcffc89f127a011fc5cb","sha256:31e39bdb3a278f6e83fe71692c29d84aa30f06929b4ae842eab1f09065e700dd"],"state_sha256":"bfead5796fd9df48e41122499f7971220505489051a3444f52df73c0d17850bd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eCGM4I7SXitD0rObetqIlhhWfo/cjj9oaNWA5arHVvswLguA/EPiUP9QIxTVg4alYz+/dat7/ztRWSm4PoadCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T08:18:05.499104Z","bundle_sha256":"b0f2a43aa1915df5ad6597cce0f5461a20e051ea60c40de5dd27e8aa7694b962"}}