{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XKW32YLF47SBUK3UNRUFHQI3CT","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":"7253d5d48edcf705aeb7d3c6a583c15ccf2cde16139a32a82989fa8abc0c1f57","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-01T12:19:56Z","title_canon_sha256":"827967ab445f2e5abb5c3fd54d3eb9ecd6b26e753f628c1201d1395943128b07"},"schema_version":"1.0","source":{"id":"1801.01031","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01031","created_at":"2026-05-17T23:51:21Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01031v3","created_at":"2026-05-17T23:51:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01031","created_at":"2026-05-17T23:51:21Z"},{"alias_kind":"pith_short_12","alias_value":"XKW32YLF47SB","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XKW32YLF47SBUK3U","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XKW32YLF","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:c935f4044c6b8590d6a38c36ddfb33a8e904141a05d9fc90202c8f4cff1ee38f","target":"graph","created_at":"2026-05-17T23:51:21Z","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":"By use of a natural extension map and a power series method, we obtain a local stability theorem for p-K\\\"ahler structures with the $(p,p+1)$-th mild $\\partial\\bar\\partial$-lemma under small differentiable deformations.","authors_text":"Quanting Zhao, Sheng Rao, Xueyuan Wan","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-01T12:19:56Z","title":"On local stabilities of $p$-K\\\"ahler structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01031","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":"sha256:00bcf01cf03dde998087d7e38c73dcd096b6f9d7891dded4b388a6d3bf46251c","target":"record","created_at":"2026-05-17T23:51:21Z","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":"7253d5d48edcf705aeb7d3c6a583c15ccf2cde16139a32a82989fa8abc0c1f57","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-01-01T12:19:56Z","title_canon_sha256":"827967ab445f2e5abb5c3fd54d3eb9ecd6b26e753f628c1201d1395943128b07"},"schema_version":"1.0","source":{"id":"1801.01031","kind":"arxiv","version":3}},"canonical_sha256":"baadbd6165e7e41a2b746c6853c11b14cb0e3eb1a4bbceb7623efd15ef6d2336","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"baadbd6165e7e41a2b746c6853c11b14cb0e3eb1a4bbceb7623efd15ef6d2336","first_computed_at":"2026-05-17T23:51:21.460675Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:21.460675Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TUrKCbyybKMLMQEyLjBKVF81WvYzAU5SG20Q5Y405vsub8Xlkyzw5XgD6N5rzXmggBfSFLhNFMJ0wkTwcrTGCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:21.461344Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.01031","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00bcf01cf03dde998087d7e38c73dcd096b6f9d7891dded4b388a6d3bf46251c","sha256:c935f4044c6b8590d6a38c36ddfb33a8e904141a05d9fc90202c8f4cff1ee38f"],"state_sha256":"ceb5f513cee631e82354af281fbc23c24edf057aa4e334e16a7b53e816abb324"}