{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MX5JV6D62UBP5UFKV4MYBKRQGS","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":"2beb66e0b320fd7ebf2eee9357deef827b3bf4a301a527a2ed4911abac65bfa1","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-09-12T02:08:23Z","title_canon_sha256":"ffd8fb1995eff36b204e6faa03f052fa6c9ad29c31fd8a700d66863eefe49863"},"schema_version":"1.0","source":{"id":"1409.3633","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.3633","created_at":"2026-05-18T02:43:00Z"},{"alias_kind":"arxiv_version","alias_value":"1409.3633v1","created_at":"2026-05-18T02:43:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3633","created_at":"2026-05-18T02:43:00Z"},{"alias_kind":"pith_short_12","alias_value":"MX5JV6D62UBP","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MX5JV6D62UBP5UFK","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MX5JV6D6","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:c4d2af3fe317cf7ca13460512075ab1efd2d267db41a5ece48df4cceee6d7150","target":"graph","created_at":"2026-05-18T02:43:00Z","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 present some new ideas to derive {\\em a priori} second order estiamtes for a wide class of fully nonlinear parabolic equations. Our methods, which produce new existence results for the initial-boundary value problems in $\\bfR^n$, are powerful enough to work in general Riemannian manifolds.","authors_text":"Bo Guan, Shujun Shi, Zhenan Sui","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-09-12T02:08:23Z","title":"On estimates for fully nonlinear parabolic equations on Riemannian manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3633","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:c39648d5c402f4d3eed661ad6b7a6af84dec26c346a9a1af4e1109d6cec6f4cd","target":"record","created_at":"2026-05-18T02:43:00Z","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":"2beb66e0b320fd7ebf2eee9357deef827b3bf4a301a527a2ed4911abac65bfa1","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-09-12T02:08:23Z","title_canon_sha256":"ffd8fb1995eff36b204e6faa03f052fa6c9ad29c31fd8a700d66863eefe49863"},"schema_version":"1.0","source":{"id":"1409.3633","kind":"arxiv","version":1}},"canonical_sha256":"65fa9af87ed502fed0aaaf1980aa3034ae79c49cc7acfa7e9195e39cbce12c90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65fa9af87ed502fed0aaaf1980aa3034ae79c49cc7acfa7e9195e39cbce12c90","first_computed_at":"2026-05-18T02:43:00.090126Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:00.090126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bNgRccOx9wCVk7hsT+TQ1wqqYSSAw31Vy5RD22WtEG8wkO4yCIeiEIre8Ql0bU7fnEIrFmQXW453Lr6SDCHGDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:00.090701Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.3633","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c39648d5c402f4d3eed661ad6b7a6af84dec26c346a9a1af4e1109d6cec6f4cd","sha256:c4d2af3fe317cf7ca13460512075ab1efd2d267db41a5ece48df4cceee6d7150"],"state_sha256":"cd6668db9c55cb2e0a5fd37a784fbd7ab82fb63578b83391cc863a71444bf9f8"}