{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:QOCS4MC35DUF762RLP7WX6VRSP","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":"194b434088d40dc9b193a6b1ca0c1d3516ba29f6c849ff9bdb2369a6f0c9150a","cross_cats_sorted":["math.CV","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-03-03T16:08:16Z","title_canon_sha256":"32545df1741350de5cd6a71a1c0aac68fd29e4b3b492a0773cf9104aa48fa132"},"schema_version":"1.0","source":{"id":"0903.0560","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.0560","created_at":"2026-05-18T04:41:44Z"},{"alias_kind":"arxiv_version","alias_value":"0903.0560v3","created_at":"2026-05-18T04:41:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.0560","created_at":"2026-05-18T04:41:44Z"},{"alias_kind":"pith_short_12","alias_value":"QOCS4MC35DUF","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"QOCS4MC35DUF762R","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"QOCS4MC3","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:7407424154a2480daa89f9e91b21ee3b0df5618ce33d556c0016737604e9bfef","target":"graph","created_at":"2026-05-18T04:41:44Z","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":"The results known for Green-Lazarsfeld sets and solvable or nilpotent quotients of Kaehler groups are extended to the class of (compact Kaehler) geometric orbifolds with finite and integral multiplicities. The proofs are by reduction to the known case of compact Kaehler manifolds.","authors_text":"Frederic Campana","cross_cats":["math.CV","math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-03-03T16:08:16Z","title":"Quotients resolubles ou nilpotents des groupes de Kaehler orbifoldes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.0560","kind":"arxiv","version":3},"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":"sha256:3371bc31ba88ab6fd758e86192df38f56d1b98cde679c42e28c205f2f3dd69d8","target":"record","created_at":"2026-05-18T04:41:44Z","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":"194b434088d40dc9b193a6b1ca0c1d3516ba29f6c849ff9bdb2369a6f0c9150a","cross_cats_sorted":["math.CV","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-03-03T16:08:16Z","title_canon_sha256":"32545df1741350de5cd6a71a1c0aac68fd29e4b3b492a0773cf9104aa48fa132"},"schema_version":"1.0","source":{"id":"0903.0560","kind":"arxiv","version":3}},"canonical_sha256":"83852e305be8e85ffb515bff6bfab193dab7a16d1da4e84822aadba48d407746","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83852e305be8e85ffb515bff6bfab193dab7a16d1da4e84822aadba48d407746","first_computed_at":"2026-05-18T04:41:44.151807Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:44.151807Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LiDN7hVLqIWB50cJ+SwL4TmHUg3QCM39jGZnRxtrAhh48DpC3ckJqcXB/wSagUfB3v8iWROmdZF3buiP59LfDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:44.152280Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.0560","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3371bc31ba88ab6fd758e86192df38f56d1b98cde679c42e28c205f2f3dd69d8","sha256:7407424154a2480daa89f9e91b21ee3b0df5618ce33d556c0016737604e9bfef"],"state_sha256":"89150bee47991addd023e667fc8a58c3e7cbf0a61ba26895474aa9564e31e62c"}