{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:RNX6PDDXLO6B5SNGXPRFWQQGKB","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":"3ce82b515a112b814f5f04d147faa5f6f74829eb4a23266a870379e8fe700a71","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CV","submitted_at":"2024-09-25T11:36:54Z","title_canon_sha256":"612b60bc27168c8600d543416a84d474b6c44d4e34e56b91cebf792df2595a5a"},"schema_version":"1.0","source":{"id":"2409.16836","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.16836","created_at":"2026-07-05T09:12:10Z"},{"alias_kind":"arxiv_version","alias_value":"2409.16836v2","created_at":"2026-07-05T09:12:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.16836","created_at":"2026-07-05T09:12:10Z"},{"alias_kind":"pith_short_12","alias_value":"RNX6PDDXLO6B","created_at":"2026-07-05T09:12:10Z"},{"alias_kind":"pith_short_16","alias_value":"RNX6PDDXLO6B5SNG","created_at":"2026-07-05T09:12:10Z"},{"alias_kind":"pith_short_8","alias_value":"RNX6PDDX","created_at":"2026-07-05T09:12:10Z"}],"graph_snapshots":[{"event_id":"sha256:760ec4cd142f4a0481fdb00466fcab6e8eb56902b222a4fcf28508fd087db0eb","target":"graph","created_at":"2026-07-05T09:12:10Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2409.16836/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we establish strong holomorphic Morse inequalities on non-compact manifolds under the condition of optimal fundamental estimates. We show that optimal fundamental estimates are satisfied and then strong holomorphic Morse inequalities hold true in various settings.","authors_text":"Guokuan Shao, Manli Liu, Wenxuan Wang","cross_cats":["math.DG"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CV","submitted_at":"2024-09-25T11:36:54Z","title":"Strong holomorphic Morse inequalities on non-compact complex manifolds with optimal fundamental estimate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.16836","kind":"arxiv","version":2},"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:b3c65ab563ee89fef73cd5e1828777bbb3af0e6848b458fab00f206ab3223198","target":"record","created_at":"2026-07-05T09:12:10Z","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":"3ce82b515a112b814f5f04d147faa5f6f74829eb4a23266a870379e8fe700a71","cross_cats_sorted":["math.DG"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.CV","submitted_at":"2024-09-25T11:36:54Z","title_canon_sha256":"612b60bc27168c8600d543416a84d474b6c44d4e34e56b91cebf792df2595a5a"},"schema_version":"1.0","source":{"id":"2409.16836","kind":"arxiv","version":2}},"canonical_sha256":"8b6fe78c775bbc1ec9a6bbe25b4206507573f074f810701391d13f064db5263a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b6fe78c775bbc1ec9a6bbe25b4206507573f074f810701391d13f064db5263a","first_computed_at":"2026-07-05T09:12:10.539896Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:12:10.539896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7RdJbZbrmgBrEUtWFANkQE3c/1zclaPnDSgVrM6LFBe/ANliK5zlECjR9e1CcpKnD3o1AMiMdsoZkaYvI6evDg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:12:10.540408Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.16836","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3c65ab563ee89fef73cd5e1828777bbb3af0e6848b458fab00f206ab3223198","sha256:760ec4cd142f4a0481fdb00466fcab6e8eb56902b222a4fcf28508fd087db0eb"],"state_sha256":"422ff322f72589d2d358c76fe99f0e82a5b77e05f8d5267f0a207c96f207b2d6"}