{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:XUU5KFLBVI2XQP2ALIJLX2ZYC7","short_pith_number":"pith:XUU5KFLB","canonical_record":{"source":{"id":"1711.03413","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-09T15:09:22Z","cross_cats_sorted":[],"title_canon_sha256":"c84347f7e27976e461ce3b55ed52cfeb905b114bdb181d00bea788a3190c02a9","abstract_canon_sha256":"f63e78ffde6487680a09724b1bc87dd1379c79c587e08d711861509fea545a7a"},"schema_version":"1.0"},"canonical_sha256":"bd29d51561aa35783f405a12bbeb3817ced05a6e20d5de4745d180b7cc9f128a","source":{"kind":"arxiv","id":"1711.03413","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.03413","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"arxiv_version","alias_value":"1711.03413v3","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.03413","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"pith_short_12","alias_value":"XUU5KFLBVI2X","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XUU5KFLBVI2XQP2A","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XUU5KFLB","created_at":"2026-05-18T12:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:XUU5KFLBVI2XQP2ALIJLX2ZYC7","target":"record","payload":{"canonical_record":{"source":{"id":"1711.03413","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-09T15:09:22Z","cross_cats_sorted":[],"title_canon_sha256":"c84347f7e27976e461ce3b55ed52cfeb905b114bdb181d00bea788a3190c02a9","abstract_canon_sha256":"f63e78ffde6487680a09724b1bc87dd1379c79c587e08d711861509fea545a7a"},"schema_version":"1.0"},"canonical_sha256":"bd29d51561aa35783f405a12bbeb3817ced05a6e20d5de4745d180b7cc9f128a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:45.463225Z","signature_b64":"TXyO8E3lbtVfaMa0b2cwmk/WfOqhAsFC0cEYKOzhSuNTz0qCQmf9CxrbM5iHKsULFpEf1ukmYugJoX//ycDrDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd29d51561aa35783f405a12bbeb3817ced05a6e20d5de4745d180b7cc9f128a","last_reissued_at":"2026-05-18T00:02:45.462853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:45.462853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.03413","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:02:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jza0fStLnqxnZSILhOmAOo9YACvizSFUCFb6NC67FTIbtuMQW317lI+fLh8HO1jEB9LdoG3fkMhr8ldn5FXPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T09:56:34.266825Z"},"content_sha256":"bee66bf4687568d06b3db48be8ad4eed0d7efcfcd026f391dbe9c3056a34b180","schema_version":"1.0","event_id":"sha256:bee66bf4687568d06b3db48be8ad4eed0d7efcfcd026f391dbe9c3056a34b180"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:XUU5KFLBVI2XQP2ALIJLX2ZYC7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of tangent bundles of complete intersections and effective restriction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jie Liu","submitted_at":"2017-11-09T15:09:22Z","abstract_excerpt":"For $n\\geq 3$, let $M$ be an $(n+r)$-dimensional irreducible Hermitian symmetric space of compact type and let $\\mathcal{O}_M(1)$ be the ample generator of $Pic(M)$. Let $Y=H_1\\cap\\dots\\cap H_r$ be a smooth complete intersection of dimension $n$ where $H_i\\in\\vert \\mathcal{O}_M(d_i)\\vert$ with $d_i\\geq 2$. We prove a vanishing theorem for twisted holomorphic forms on $Y$. As an application, we show that the tangent bundle $T_Y$ of $Y$ is stable. Moreover, if $X$ is a smooth hypersurface of degree $d$ in $Y$ such that the restriction $Pic(Y)\\rightarrow Pic(X)$ is surjective, we establish some e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.03413","kind":"arxiv","version":3},"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":"2026-05-18T00:02:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"neFnf6iomG8/ynnfrWfAkv9FXGO/egEWyPrSJfpO3BcTyBnDM+ytFWa9Wo9LufUFBn+RwtHAqFAAjiyrVms1AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T09:56:34.267579Z"},"content_sha256":"35a6cc695e6fb076a249e189d7840d5f67af12857d0e3c12fff2ba8d2d1d9aeb","schema_version":"1.0","event_id":"sha256:35a6cc695e6fb076a249e189d7840d5f67af12857d0e3c12fff2ba8d2d1d9aeb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XUU5KFLBVI2XQP2ALIJLX2ZYC7/bundle.json","state_url":"https://pith.science/pith/XUU5KFLBVI2XQP2ALIJLX2ZYC7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XUU5KFLBVI2XQP2ALIJLX2ZYC7/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":"2026-08-01T09:56:34Z","links":{"resolver":"https://pith.science/pith/XUU5KFLBVI2XQP2ALIJLX2ZYC7","bundle":"https://pith.science/pith/XUU5KFLBVI2XQP2ALIJLX2ZYC7/bundle.json","state":"https://pith.science/pith/XUU5KFLBVI2XQP2ALIJLX2ZYC7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XUU5KFLBVI2XQP2ALIJLX2ZYC7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XUU5KFLBVI2XQP2ALIJLX2ZYC7","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":"f63e78ffde6487680a09724b1bc87dd1379c79c587e08d711861509fea545a7a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-09T15:09:22Z","title_canon_sha256":"c84347f7e27976e461ce3b55ed52cfeb905b114bdb181d00bea788a3190c02a9"},"schema_version":"1.0","source":{"id":"1711.03413","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.03413","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"arxiv_version","alias_value":"1711.03413v3","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.03413","created_at":"2026-05-18T00:02:45Z"},{"alias_kind":"pith_short_12","alias_value":"XUU5KFLBVI2X","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XUU5KFLBVI2XQP2A","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XUU5KFLB","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:35a6cc695e6fb076a249e189d7840d5f67af12857d0e3c12fff2ba8d2d1d9aeb","target":"graph","created_at":"2026-05-18T00:02:45Z","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":"For $n\\geq 3$, let $M$ be an $(n+r)$-dimensional irreducible Hermitian symmetric space of compact type and let $\\mathcal{O}_M(1)$ be the ample generator of $Pic(M)$. Let $Y=H_1\\cap\\dots\\cap H_r$ be a smooth complete intersection of dimension $n$ where $H_i\\in\\vert \\mathcal{O}_M(d_i)\\vert$ with $d_i\\geq 2$. We prove a vanishing theorem for twisted holomorphic forms on $Y$. As an application, we show that the tangent bundle $T_Y$ of $Y$ is stable. Moreover, if $X$ is a smooth hypersurface of degree $d$ in $Y$ such that the restriction $Pic(Y)\\rightarrow Pic(X)$ is surjective, we establish some e","authors_text":"Jie Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-09T15:09:22Z","title":"Stability of tangent bundles of complete intersections and effective restriction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.03413","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:bee66bf4687568d06b3db48be8ad4eed0d7efcfcd026f391dbe9c3056a34b180","target":"record","created_at":"2026-05-18T00:02:45Z","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":"f63e78ffde6487680a09724b1bc87dd1379c79c587e08d711861509fea545a7a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-09T15:09:22Z","title_canon_sha256":"c84347f7e27976e461ce3b55ed52cfeb905b114bdb181d00bea788a3190c02a9"},"schema_version":"1.0","source":{"id":"1711.03413","kind":"arxiv","version":3}},"canonical_sha256":"bd29d51561aa35783f405a12bbeb3817ced05a6e20d5de4745d180b7cc9f128a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd29d51561aa35783f405a12bbeb3817ced05a6e20d5de4745d180b7cc9f128a","first_computed_at":"2026-05-18T00:02:45.462853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:45.462853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TXyO8E3lbtVfaMa0b2cwmk/WfOqhAsFC0cEYKOzhSuNTz0qCQmf9CxrbM5iHKsULFpEf1ukmYugJoX//ycDrDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:45.463225Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.03413","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bee66bf4687568d06b3db48be8ad4eed0d7efcfcd026f391dbe9c3056a34b180","sha256:35a6cc695e6fb076a249e189d7840d5f67af12857d0e3c12fff2ba8d2d1d9aeb"],"state_sha256":"c02ca20692b71b4e19ae09645d03acd208afc25b46324156b48bd78490f7fbd5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9LFnG0ZmIDktZQxY1HmrAa288vJYbldRHN8lWVDBaEMndqgBnN8aGu4vF/1hT5r2vlIXTJtcPvOrSao6EmUyBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T09:56:34.273011Z","bundle_sha256":"8ad76ec1f22b07afa8fd24107036c35626a33cf007de40bc2c7fb66e4ea33393"}}