{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:T2ME3VB4MEBGPWFWQAOGPEWFYE","short_pith_number":"pith:T2ME3VB4","canonical_record":{"source":{"id":"1809.10978","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-28T12:08:30Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"30a02e8e44a8d188363aed20641e8100e6cfc0f461102bcc93139e9fbf54bf09","abstract_canon_sha256":"b8d45ec294fd4a2f8f51f9dc120f321aed76cfd02fed8cf526478567125de61c"},"schema_version":"1.0"},"canonical_sha256":"9e984dd43c610267d8b6801c6792c5c10d64afcc435c052cc31e7c0e0dd53bcc","source":{"kind":"arxiv","id":"1809.10978","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.10978","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"1809.10978v1","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.10978","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"T2ME3VB4MEBG","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"T2ME3VB4MEBGPWFW","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"T2ME3VB4","created_at":"2026-05-18T12:32:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:T2ME3VB4MEBGPWFWQAOGPEWFYE","target":"record","payload":{"canonical_record":{"source":{"id":"1809.10978","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-28T12:08:30Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"30a02e8e44a8d188363aed20641e8100e6cfc0f461102bcc93139e9fbf54bf09","abstract_canon_sha256":"b8d45ec294fd4a2f8f51f9dc120f321aed76cfd02fed8cf526478567125de61c"},"schema_version":"1.0"},"canonical_sha256":"9e984dd43c610267d8b6801c6792c5c10d64afcc435c052cc31e7c0e0dd53bcc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:33.738888Z","signature_b64":"tcswqCssndNvmNULQK/Jkkul/dvmPjPva8h48D5tZB7TBE45qQM2KCyGvvGe3G5UE/DgXlhZAOW7cZwTt8weAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e984dd43c610267d8b6801c6792c5c10d64afcc435c052cc31e7c0e0dd53bcc","last_reissued_at":"2026-05-18T00:04:33.738224Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:33.738224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.10978","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gGnVGKw5cFzb0bAHbUgyPxI2kQLeiodxcDHKcnWhklUXEDfrxap93HNmKAMefW+VzAbpXrr/2zIAcqsnF/YCAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:14:02.409107Z"},"content_sha256":"39b32ec36a1521ed6abfff7c9493b03d00c0466600acac29b0c80c48a68f9ef6","schema_version":"1.0","event_id":"sha256:39b32ec36a1521ed6abfff7c9493b03d00c0466600acac29b0c80c48a68f9ef6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:T2ME3VB4MEBGPWFWQAOGPEWFYE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Subvarieties of quotients of bounded symmetric domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AG","authors_text":"Benoit Cadorel (IMT)","submitted_at":"2018-09-28T12:08:30Z","abstract_excerpt":"We present a new criterion for the complex hyperbolicity of a non-compact quotient X of a bounded symmetric domain. For each p $\\ge$ 1, this criterion gives a precise condition under which the subvarieties V $\\subset$ X with dim V $\\ge$ p are of general type, and X is p-measure hyperbolic. Then, we give several applications related to ball quotients, or to the Siegel moduli space of principally polarized abelian varieties. For example, we determine effective levels l for which the moduli spaces of genus g curves with l-level structures are of general type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.10978","kind":"arxiv","version":1},"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":"2026-05-18T00:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p9KM0o/FXyxl6XkK38GgOz7d7SNdS7LT//hbmOozPo464VxLMsyPLRMZG+5UvQ9eET8wIiF4PXfhMEp+uIVTCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T23:14:02.409780Z"},"content_sha256":"c4c9f0b0e01305104e4f8f5cebdcb070213edca08eacbcb3a079744739bd534b","schema_version":"1.0","event_id":"sha256:c4c9f0b0e01305104e4f8f5cebdcb070213edca08eacbcb3a079744739bd534b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T2ME3VB4MEBGPWFWQAOGPEWFYE/bundle.json","state_url":"https://pith.science/pith/T2ME3VB4MEBGPWFWQAOGPEWFYE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T2ME3VB4MEBGPWFWQAOGPEWFYE/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":"2026-05-27T23:14:02Z","links":{"resolver":"https://pith.science/pith/T2ME3VB4MEBGPWFWQAOGPEWFYE","bundle":"https://pith.science/pith/T2ME3VB4MEBGPWFWQAOGPEWFYE/bundle.json","state":"https://pith.science/pith/T2ME3VB4MEBGPWFWQAOGPEWFYE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T2ME3VB4MEBGPWFWQAOGPEWFYE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:T2ME3VB4MEBGPWFWQAOGPEWFYE","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":"b8d45ec294fd4a2f8f51f9dc120f321aed76cfd02fed8cf526478567125de61c","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-28T12:08:30Z","title_canon_sha256":"30a02e8e44a8d188363aed20641e8100e6cfc0f461102bcc93139e9fbf54bf09"},"schema_version":"1.0","source":{"id":"1809.10978","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.10978","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"1809.10978v1","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.10978","created_at":"2026-05-18T00:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"T2ME3VB4MEBG","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"T2ME3VB4MEBGPWFW","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"T2ME3VB4","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:c4c9f0b0e01305104e4f8f5cebdcb070213edca08eacbcb3a079744739bd534b","target":"graph","created_at":"2026-05-18T00:04:33Z","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 present a new criterion for the complex hyperbolicity of a non-compact quotient X of a bounded symmetric domain. For each p $\\ge$ 1, this criterion gives a precise condition under which the subvarieties V $\\subset$ X with dim V $\\ge$ p are of general type, and X is p-measure hyperbolic. Then, we give several applications related to ball quotients, or to the Siegel moduli space of principally polarized abelian varieties. For example, we determine effective levels l for which the moduli spaces of genus g curves with l-level structures are of general type.","authors_text":"Benoit Cadorel (IMT)","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-28T12:08:30Z","title":"Subvarieties of quotients of bounded symmetric domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.10978","kind":"arxiv","version":1},"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":"sha256:39b32ec36a1521ed6abfff7c9493b03d00c0466600acac29b0c80c48a68f9ef6","target":"record","created_at":"2026-05-18T00:04:33Z","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":"b8d45ec294fd4a2f8f51f9dc120f321aed76cfd02fed8cf526478567125de61c","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-09-28T12:08:30Z","title_canon_sha256":"30a02e8e44a8d188363aed20641e8100e6cfc0f461102bcc93139e9fbf54bf09"},"schema_version":"1.0","source":{"id":"1809.10978","kind":"arxiv","version":1}},"canonical_sha256":"9e984dd43c610267d8b6801c6792c5c10d64afcc435c052cc31e7c0e0dd53bcc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e984dd43c610267d8b6801c6792c5c10d64afcc435c052cc31e7c0e0dd53bcc","first_computed_at":"2026-05-18T00:04:33.738224Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:33.738224Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tcswqCssndNvmNULQK/Jkkul/dvmPjPva8h48D5tZB7TBE45qQM2KCyGvvGe3G5UE/DgXlhZAOW7cZwTt8weAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:33.738888Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.10978","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:39b32ec36a1521ed6abfff7c9493b03d00c0466600acac29b0c80c48a68f9ef6","sha256:c4c9f0b0e01305104e4f8f5cebdcb070213edca08eacbcb3a079744739bd534b"],"state_sha256":"4a450a378112c9646369356e89dee7ef64a1c61cf56eb22e0637b33ab68c8b8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BU8HXP7LPH5pV3uZo0cEgYPOx6ym6886n9yfiOZOGNAv5lM0o6TBIbL8CnbVRKD1+uqujIDw9/yJULLolr+3CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T23:14:02.413129Z","bundle_sha256":"b2662cf81c65ba5c2a11d46572151b13452404a4917bca631ce152e167622015"}}