{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JP7HR4ZJUGW7EFCM7FWBAIO56X","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":"67204310e36c1a44ead881ebcb82a5f4b2b58f6b43c31dbbe5ee1a0d94223b3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-09-13T17:48:05Z","title_canon_sha256":"b959002e0b88901fa0a4db594d7efdc520c576eb11990f1f30b086273e84dc67"},"schema_version":"1.0","source":{"id":"1409.3972","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3972","created_at":"2026-05-18T02:42:53Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3972v1","created_at":"2026-05-18T02:42:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3972","created_at":"2026-05-18T02:42:53Z"},{"alias_kind":"pith_short_12","alias_value":"JP7HR4ZJUGW7","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JP7HR4ZJUGW7EFCM","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JP7HR4ZJ","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:cb6251e2597dfb5bd92d727bbb7e3ee71ede1bba0232dafba45cb583e83825b5","target":"graph","created_at":"2026-05-18T02:42:53Z","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 the geometric properties of complex manifolds possessing a pair of plurisubharmonic functions satisfying Monge-Amp\\`ere type of condition. The results are applied to characterize complex manifolds biholomorphic to $\\C^{N}$ viewed as a product of lower dimensional complex euclidean spaces.","authors_text":"Giorgio Patrizio, Morris Kalka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-09-13T17:48:05Z","title":"Splitting Parabolic Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3972","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":"sha256:35169e14107f502b8fb612975407991bffdf15a1fdd9bc58e9896add372b388a","target":"record","created_at":"2026-05-18T02:42:53Z","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":"67204310e36c1a44ead881ebcb82a5f4b2b58f6b43c31dbbe5ee1a0d94223b3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2014-09-13T17:48:05Z","title_canon_sha256":"b959002e0b88901fa0a4db594d7efdc520c576eb11990f1f30b086273e84dc67"},"schema_version":"1.0","source":{"id":"1409.3972","kind":"arxiv","version":1}},"canonical_sha256":"4bfe78f329a1adf2144cf96c1021ddf5ebc1e62e917460a2bb450c12b237597f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bfe78f329a1adf2144cf96c1021ddf5ebc1e62e917460a2bb450c12b237597f","first_computed_at":"2026-05-18T02:42:53.309017Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:53.309017Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HXWbWAF8qWDNJ/PSSQVFDl+qxLxEHbybrE9B4SOYpEsEDMmWRZxpaw0vx8W9amMpc5cBJwADWPNJPG4SUw9PDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:53.309389Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.3972","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35169e14107f502b8fb612975407991bffdf15a1fdd9bc58e9896add372b388a","sha256:cb6251e2597dfb5bd92d727bbb7e3ee71ede1bba0232dafba45cb583e83825b5"],"state_sha256":"1fe6b32ca581a0b8d938e06ce2039d90133951695517f80a8d77cd9ffcdbd4e7"}