{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:3TO7GX3P5KUWDBQUS7WQXIKLNW","short_pith_number":"pith:3TO7GX3P","canonical_record":{"source":{"id":"1809.07277","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-19T16:17:09Z","cross_cats_sorted":["math.AT","math.CV","math.DG"],"title_canon_sha256":"b42244a55a29890db804f71e09dd0772a952b220ae78d484f4eba2519c44a8cf","abstract_canon_sha256":"719edc4faf0ea50c87d852186ff4f4a89401a199acf3ae0ea20d06ec80075667"},"schema_version":"1.0"},"canonical_sha256":"dcddf35f6feaa961861497ed0ba14b6d8a4be0aa6a7de925f3702c3aea3e3c31","source":{"kind":"arxiv","id":"1809.07277","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.07277","created_at":"2026-05-17T23:58:55Z"},{"alias_kind":"arxiv_version","alias_value":"1809.07277v2","created_at":"2026-05-17T23:58:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.07277","created_at":"2026-05-17T23:58:55Z"},{"alias_kind":"pith_short_12","alias_value":"3TO7GX3P5KUW","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"3TO7GX3P5KUWDBQU","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"3TO7GX3P","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:3TO7GX3P5KUWDBQUS7WQXIKLNW","target":"record","payload":{"canonical_record":{"source":{"id":"1809.07277","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-19T16:17:09Z","cross_cats_sorted":["math.AT","math.CV","math.DG"],"title_canon_sha256":"b42244a55a29890db804f71e09dd0772a952b220ae78d484f4eba2519c44a8cf","abstract_canon_sha256":"719edc4faf0ea50c87d852186ff4f4a89401a199acf3ae0ea20d06ec80075667"},"schema_version":"1.0"},"canonical_sha256":"dcddf35f6feaa961861497ed0ba14b6d8a4be0aa6a7de925f3702c3aea3e3c31","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:55.916858Z","signature_b64":"nq1HorFIx3+xq9NnfZ8L3999FxhteiIaGd/BNWD/v6rv//v3KziucRADtj/5IrVjsEuZ7ABucS3b5yhy2ZU6AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcddf35f6feaa961861497ed0ba14b6d8a4be0aa6a7de925f3702c3aea3e3c31","last_reissued_at":"2026-05-17T23:58:55.916196Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:55.916196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.07277","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:58:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yoecc40jiV0NxlQstlnl1c4eaQTe4cq2wcW5K1/ia6novhqegoMDz7gaCU4H/zDDOcdeuReu2M9B4Er00Wv7Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:54:05.432688Z"},"content_sha256":"79a91d5320cc10b99d464566209c57cc5d85eb0f38fd7b5f5aa3206b54c9a74d","schema_version":"1.0","event_id":"sha256:79a91d5320cc10b99d464566209c57cc5d85eb0f38fd7b5f5aa3206b54c9a74d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:3TO7GX3P5KUWDBQUS7WQXIKLNW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dolbeault cohomologies of blowing up complex manifolds II: bundle-valued case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.CV","math.DG"],"primary_cat":"math.AG","authors_text":"Sheng Rao, Song Yang, Xiangdong Yang","submitted_at":"2018-09-19T16:17:09Z","abstract_excerpt":"We use a sheaf-theoretic approach to obtain a blow-up formula for Dolbeault cohomology groups with values in the holomorphic vector bundle over a compact complex manifold. As applications, we present several positive (or negative) examples associated to the vanishing theorems of Girbau, Kawamata-Viehweg and Green-Lazarsfeld in a uniform manner and study the blow-up invariance of some classical holomorphic invariants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.07277","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:58:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"47iIkU1b9qJfeDBx/ssfK51o13PhUY1DT5x1Nuv1hQSft0BHnwPEc26jLU9pwyusr6KEnbT4+qqFTw7Gbhy0Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:54:05.433042Z"},"content_sha256":"37bc0cac1575db1d649874f77b42aa8573fb0348d03f5a1f09f63dcc04f24b92","schema_version":"1.0","event_id":"sha256:37bc0cac1575db1d649874f77b42aa8573fb0348d03f5a1f09f63dcc04f24b92"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3TO7GX3P5KUWDBQUS7WQXIKLNW/bundle.json","state_url":"https://pith.science/pith/3TO7GX3P5KUWDBQUS7WQXIKLNW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3TO7GX3P5KUWDBQUS7WQXIKLNW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T07:54:05Z","links":{"resolver":"https://pith.science/pith/3TO7GX3P5KUWDBQUS7WQXIKLNW","bundle":"https://pith.science/pith/3TO7GX3P5KUWDBQUS7WQXIKLNW/bundle.json","state":"https://pith.science/pith/3TO7GX3P5KUWDBQUS7WQXIKLNW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3TO7GX3P5KUWDBQUS7WQXIKLNW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3TO7GX3P5KUWDBQUS7WQXIKLNW","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":"719edc4faf0ea50c87d852186ff4f4a89401a199acf3ae0ea20d06ec80075667","cross_cats_sorted":["math.AT","math.CV","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-19T16:17:09Z","title_canon_sha256":"b42244a55a29890db804f71e09dd0772a952b220ae78d484f4eba2519c44a8cf"},"schema_version":"1.0","source":{"id":"1809.07277","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.07277","created_at":"2026-05-17T23:58:55Z"},{"alias_kind":"arxiv_version","alias_value":"1809.07277v2","created_at":"2026-05-17T23:58:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.07277","created_at":"2026-05-17T23:58:55Z"},{"alias_kind":"pith_short_12","alias_value":"3TO7GX3P5KUW","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"3TO7GX3P5KUWDBQU","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"3TO7GX3P","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:37bc0cac1575db1d649874f77b42aa8573fb0348d03f5a1f09f63dcc04f24b92","target":"graph","created_at":"2026-05-17T23:58:55Z","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 use a sheaf-theoretic approach to obtain a blow-up formula for Dolbeault cohomology groups with values in the holomorphic vector bundle over a compact complex manifold. As applications, we present several positive (or negative) examples associated to the vanishing theorems of Girbau, Kawamata-Viehweg and Green-Lazarsfeld in a uniform manner and study the blow-up invariance of some classical holomorphic invariants.","authors_text":"Sheng Rao, Song Yang, Xiangdong Yang","cross_cats":["math.AT","math.CV","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-19T16:17:09Z","title":"Dolbeault cohomologies of blowing up complex manifolds II: bundle-valued case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.07277","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":"sha256:79a91d5320cc10b99d464566209c57cc5d85eb0f38fd7b5f5aa3206b54c9a74d","target":"record","created_at":"2026-05-17T23:58:55Z","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":"719edc4faf0ea50c87d852186ff4f4a89401a199acf3ae0ea20d06ec80075667","cross_cats_sorted":["math.AT","math.CV","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-19T16:17:09Z","title_canon_sha256":"b42244a55a29890db804f71e09dd0772a952b220ae78d484f4eba2519c44a8cf"},"schema_version":"1.0","source":{"id":"1809.07277","kind":"arxiv","version":2}},"canonical_sha256":"dcddf35f6feaa961861497ed0ba14b6d8a4be0aa6a7de925f3702c3aea3e3c31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dcddf35f6feaa961861497ed0ba14b6d8a4be0aa6a7de925f3702c3aea3e3c31","first_computed_at":"2026-05-17T23:58:55.916196Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:55.916196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nq1HorFIx3+xq9NnfZ8L3999FxhteiIaGd/BNWD/v6rv//v3KziucRADtj/5IrVjsEuZ7ABucS3b5yhy2ZU6AQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:55.916858Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.07277","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79a91d5320cc10b99d464566209c57cc5d85eb0f38fd7b5f5aa3206b54c9a74d","sha256:37bc0cac1575db1d649874f77b42aa8573fb0348d03f5a1f09f63dcc04f24b92"],"state_sha256":"bdf487fcdcd66347a2524682fba3ee6844f92504020187d50133e125dfc9734b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pU8X1FBA1hUz/TA6iz5x2VamPeKIwlLMgounKkX0ji9QKucD4uzH2GavRRT+j6kmAm787wlYa4l6HlpNOhIPAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:54:05.435061Z","bundle_sha256":"86b45bc394c18cba034ee07aa079e3bfd0b06ae4574b60253cde351735e54a14"}}