{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:OTFSCLVY7MTBJSFYDGHJEXZGU6","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":"eae20b9ff5ef3e52dcedd5d79e3cb804a277701b90b8f333cf8efb57dec7ec84","cross_cats_sorted":["math.CV"],"license":"","primary_cat":"math.SG","submitted_at":"2007-09-03T14:35:42Z","title_canon_sha256":"991c13aa3ced653a29d9c10db2e8780381c8efe1504d098c8f315fe731335b1c"},"schema_version":"1.0","source":{"id":"0709.0205","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0709.0205","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"arxiv_version","alias_value":"0709.0205v1","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.0205","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"pith_short_12","alias_value":"OTFSCLVY7MTB","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"OTFSCLVY7MTBJSFY","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"OTFSCLVY","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:66d39cf90cac7b1a8e58adb80db7f2a8c9ccd7a7bca76660b903d51d5485012b","target":"graph","created_at":"2026-05-18T04:24:35Z","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 study Hamiltonian actions of compact Lie groups K on Kaehler manifolds which extend to a holomorphic action of the complexified group K^C. For a closed normal subgroup L of K we show that the Kaehlerian reduction with respect to L is a stratified Hamiltonian Kaehler K^C/L^C-space whose Kaehlerian reduction with respect to K/L is naturally isomorphic to the Kaehlerian reduction of the original manifold with respect to K.","authors_text":"Daniel Greb, Peter Heinzner","cross_cats":["math.CV"],"headline":"","license":"","primary_cat":"math.SG","submitted_at":"2007-09-03T14:35:42Z","title":"Kaehlerian reduction in steps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.0205","kind":"arxiv","version":1},"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":"sha256:0b54d5c5c81cffd5775cd0d4ca4556cf00c45e24a849662b1323d57637651aba","target":"record","created_at":"2026-05-18T04:24:35Z","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":"eae20b9ff5ef3e52dcedd5d79e3cb804a277701b90b8f333cf8efb57dec7ec84","cross_cats_sorted":["math.CV"],"license":"","primary_cat":"math.SG","submitted_at":"2007-09-03T14:35:42Z","title_canon_sha256":"991c13aa3ced653a29d9c10db2e8780381c8efe1504d098c8f315fe731335b1c"},"schema_version":"1.0","source":{"id":"0709.0205","kind":"arxiv","version":1}},"canonical_sha256":"74cb212eb8fb2614c8b8198e925f26a794fcdbc70e91c2dd81e2e7757b72e6c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74cb212eb8fb2614c8b8198e925f26a794fcdbc70e91c2dd81e2e7757b72e6c9","first_computed_at":"2026-05-18T04:24:35.590211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:35.590211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cSCXHLHHC5LK+utHJBUr16z0V+xhjkpqoxCkUalUPHPCSqHAU9e9/d420JOFL1RFVppwhnzVJAoC0EK9+PQUDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:35.590673Z","signed_message":"canonical_sha256_bytes"},"source_id":"0709.0205","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b54d5c5c81cffd5775cd0d4ca4556cf00c45e24a849662b1323d57637651aba","sha256:66d39cf90cac7b1a8e58adb80db7f2a8c9ccd7a7bca76660b903d51d5485012b"],"state_sha256":"927ea8c2017f26fe52fc860f9aaeed97c5beec3fdf2614e29ec29190e9f5e88f"}