{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:RIYIAPTJKJDHHVNUNTXWT2FOAI","short_pith_number":"pith:RIYIAPTJ","schema_version":"1.0","canonical_sha256":"8a30803e69524673d5b46cef69e8ae022413b3a99ed4f60a36695045b83fe031","source":{"kind":"arxiv","id":"1606.05470","version":4},"attestation_state":"computed","paper":{"title":"Symmetric differentials on complex hyperbolic manifolds with cusps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Benoit Cadorel (I2M)","submitted_at":"2016-06-17T10:40:13Z","abstract_excerpt":"Let $(X, D)$ be a logarithmic pair, and let $h$ be a singular metric on the tangent bundle, smooth on the open part of $X$. We give sufficient conditions on the curvature of $h$ for the logarithmic and the standard cotangent bundles to be big. As an application, we give a metric proof of the bigness of logarithmic cotangent bundle on any toroidal compactification of a bounded symmetric domain. Then, we use this singular metric approach to study the bigness and the nefness of the standard tangent bundle in the more specific case of the ball. We obtain effective ramification orders for a cover $"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1606.05470","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-06-17T10:40:13Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"a430fcb719fb68d757ac650eafe4249089cc2c5b5df79735cc4e1fffd579ae1b","abstract_canon_sha256":"a0843afcad2e757fd2a97560e1db3e810dd8c75fed19240bb7449e0188febcc3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:17.590955Z","signature_b64":"o+gwIfV+eSBP2Jzqj6J8tSyyegTZ2i9jhE2PuXiKI/euKOpSsLXHQCVliFkq0XAxIVW8olp+b3f8WYgqqNGAAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a30803e69524673d5b46cef69e8ae022413b3a99ed4f60a36695045b83fe031","last_reissued_at":"2026-05-18T00:48:17.590405Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:17.590405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetric differentials on complex hyperbolic manifolds with cusps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Benoit Cadorel (I2M)","submitted_at":"2016-06-17T10:40:13Z","abstract_excerpt":"Let $(X, D)$ be a logarithmic pair, and let $h$ be a singular metric on the tangent bundle, smooth on the open part of $X$. We give sufficient conditions on the curvature of $h$ for the logarithmic and the standard cotangent bundles to be big. As an application, we give a metric proof of the bigness of logarithmic cotangent bundle on any toroidal compactification of a bounded symmetric domain. Then, we use this singular metric approach to study the bigness and the nefness of the standard tangent bundle in the more specific case of the ball. We obtain effective ramification orders for a cover $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05470","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1606.05470","created_at":"2026-05-18T00:48:17.590477+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.05470v4","created_at":"2026-05-18T00:48:17.590477+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05470","created_at":"2026-05-18T00:48:17.590477+00:00"},{"alias_kind":"pith_short_12","alias_value":"RIYIAPTJKJDH","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"RIYIAPTJKJDHHVNU","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"RIYIAPTJ","created_at":"2026-05-18T12:30:41.710351+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2001.04426","citing_title":"Big Picard theorems and algebraic hyperbolicity for varieties admitting a variation of Hodge structures","ref_index":11,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RIYIAPTJKJDHHVNUNTXWT2FOAI","json":"https://pith.science/pith/RIYIAPTJKJDHHVNUNTXWT2FOAI.json","graph_json":"https://pith.science/api/pith-number/RIYIAPTJKJDHHVNUNTXWT2FOAI/graph.json","events_json":"https://pith.science/api/pith-number/RIYIAPTJKJDHHVNUNTXWT2FOAI/events.json","paper":"https://pith.science/paper/RIYIAPTJ"},"agent_actions":{"view_html":"https://pith.science/pith/RIYIAPTJKJDHHVNUNTXWT2FOAI","download_json":"https://pith.science/pith/RIYIAPTJKJDHHVNUNTXWT2FOAI.json","view_paper":"https://pith.science/paper/RIYIAPTJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.05470&json=true","fetch_graph":"https://pith.science/api/pith-number/RIYIAPTJKJDHHVNUNTXWT2FOAI/graph.json","fetch_events":"https://pith.science/api/pith-number/RIYIAPTJKJDHHVNUNTXWT2FOAI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RIYIAPTJKJDHHVNUNTXWT2FOAI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RIYIAPTJKJDHHVNUNTXWT2FOAI/action/storage_attestation","attest_author":"https://pith.science/pith/RIYIAPTJKJDHHVNUNTXWT2FOAI/action/author_attestation","sign_citation":"https://pith.science/pith/RIYIAPTJKJDHHVNUNTXWT2FOAI/action/citation_signature","submit_replication":"https://pith.science/pith/RIYIAPTJKJDHHVNUNTXWT2FOAI/action/replication_record"}},"created_at":"2026-05-18T00:48:17.590477+00:00","updated_at":"2026-05-18T00:48:17.590477+00:00"}