{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FR5RT3VCZYQUECDG3OJNFTFJKM","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":"e248d52a9f32a605d1d712b832615b6b63bfd97aaacaeed115e576cebcb382ba","cross_cats_sorted":["math.CV","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-24T18:58:23Z","title_canon_sha256":"bab10bcbe159a4d348ce85d7bdb08253f83d1538a8ec817420129b62b51ae2c0"},"schema_version":"1.0","source":{"id":"1301.5863","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5863","created_at":"2026-05-18T03:35:37Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5863v1","created_at":"2026-05-18T03:35:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5863","created_at":"2026-05-18T03:35:37Z"},{"alias_kind":"pith_short_12","alias_value":"FR5RT3VCZYQU","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FR5RT3VCZYQUECDG","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FR5RT3VC","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:8c09c9d1eaaa0a427c715dada6beb097aab84e5b348db38bb055b8314e6323a9","target":"graph","created_at":"2026-05-18T03:35:37Z","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 derive a priori $C^2$ estimates for a class of complex Monge-Ampere type equations on Hermitian manifolds. As an application we solve the Dirichlet problem for these equations under the assumption of existence of a subsolution; the existence result, as well as the second order boundary estimates, is new even for bounded domains in $\\bfC^n$.","authors_text":"Bo Guan, Wei Sun","cross_cats":["math.CV","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-24T18:58:23Z","title":"On a class of fully nonlinear elliptic equations on Hermitian manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5863","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":"sha256:2dda6dc0161dbb3ece3e973b58c2cb50e725e0eb9e0bb1a9dd4c487d75ba8ff8","target":"record","created_at":"2026-05-18T03:35:37Z","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":"e248d52a9f32a605d1d712b832615b6b63bfd97aaacaeed115e576cebcb382ba","cross_cats_sorted":["math.CV","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-24T18:58:23Z","title_canon_sha256":"bab10bcbe159a4d348ce85d7bdb08253f83d1538a8ec817420129b62b51ae2c0"},"schema_version":"1.0","source":{"id":"1301.5863","kind":"arxiv","version":1}},"canonical_sha256":"2c7b19eea2ce21420866db92d2cca95336bf89c7916694be3da19ffc839ee0ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c7b19eea2ce21420866db92d2cca95336bf89c7916694be3da19ffc839ee0ed","first_computed_at":"2026-05-18T03:35:37.163287Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:37.163287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dQTw6BAZTHlcu7b721IoXxNG1Ekoc8TARyLGGa6kBQgTcrl2JfRbsPuk5K8j4XXM5MYeCZwFb+FFITCmh1NmCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:37.164218Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.5863","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2dda6dc0161dbb3ece3e973b58c2cb50e725e0eb9e0bb1a9dd4c487d75ba8ff8","sha256:8c09c9d1eaaa0a427c715dada6beb097aab84e5b348db38bb055b8314e6323a9"],"state_sha256":"f28a03e68ef1a20d7cae9fdcda858c05a53608af3f84772810680845f80e08a8"}