{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ACVMZZYVGU6X2YFGGQRCBA7CJP","short_pith_number":"pith:ACVMZZYV","canonical_record":{"source":{"id":"1707.01327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-05T11:33:04Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"6ddbf1f35c0c9fc4d9c4a2015e5834d7167811ce07f2ef2bb2bf9bd215572312","abstract_canon_sha256":"6117d6d32cbd049a7a9b00c5d167672d7b2e91950a9759b239b45a37523a0932"},"schema_version":"1.0"},"canonical_sha256":"00aacce715353d7d60a634222083e24bed7c479968f3b4b17df71fecc1ac3050","source":{"kind":"arxiv","id":"1707.01327","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.01327","created_at":"2026-05-18T00:40:53Z"},{"alias_kind":"arxiv_version","alias_value":"1707.01327v1","created_at":"2026-05-18T00:40:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.01327","created_at":"2026-05-18T00:40:53Z"},{"alias_kind":"pith_short_12","alias_value":"ACVMZZYVGU6X","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"ACVMZZYVGU6X2YFG","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"ACVMZZYV","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ACVMZZYVGU6X2YFGGQRCBA7CJP","target":"record","payload":{"canonical_record":{"source":{"id":"1707.01327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-05T11:33:04Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"6ddbf1f35c0c9fc4d9c4a2015e5834d7167811ce07f2ef2bb2bf9bd215572312","abstract_canon_sha256":"6117d6d32cbd049a7a9b00c5d167672d7b2e91950a9759b239b45a37523a0932"},"schema_version":"1.0"},"canonical_sha256":"00aacce715353d7d60a634222083e24bed7c479968f3b4b17df71fecc1ac3050","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:53.132960Z","signature_b64":"seBLx7uV1vym/4LFUbTyxdCpvxtAnLp79DjCa2/VLbm3qq72Di8gjQ8Q+zIC74S7aqCWw8P1kFx5WeMIezGwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00aacce715353d7d60a634222083e24bed7c479968f3b4b17df71fecc1ac3050","last_reissued_at":"2026-05-18T00:40:53.132466Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:53.132466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.01327","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":"2026-05-18T00:40:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1d7O2fy2EinAcgqaMhl3oBB0uS2+UwfFDTwyTd+x3n/yVZ3tcNTNX8SfQOIuTyYYglLyubTOvr2CY4XMqjPBCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:36:26.578768Z"},"content_sha256":"5144533c0f6316fcf608f210f5c250c4081bb175e8e529c3d89eaa116b6aee02","schema_version":"1.0","event_id":"sha256:5144533c0f6316fcf608f210f5c250c4081bb175e8e529c3d89eaa116b6aee02"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ACVMZZYVGU6X2YFGGQRCBA7CJP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hyperbolicity of varieties supporting a variation of Hodge structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.AG","authors_text":"Benoit Cadorel, Yohan Brunebarbe","submitted_at":"2017-07-05T11:33:04Z","abstract_excerpt":"We generalize former results of Zuo and the first author showing some hyperbolicity properties of varieties supporting a variation of Hodge structure. Our proof only uses the special curvature properties of period domains. In particular, in contrast to the former approaches, it does not use any result on the asymptotic behaviour of the Hodge metric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01327","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":"2026-05-18T00:40:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D4TtZBlZcazTVtjIPSPsGDGgYLHzcljFCx4ZuM9ve0B8z7tOrbLGoQ6unWDqE8C/epolEi9QfYrbT25PXfY9CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:36:26.579118Z"},"content_sha256":"6535691413ab0c75ff9da1d6717ac2e72aba691675c33efb9b505da094395b1c","schema_version":"1.0","event_id":"sha256:6535691413ab0c75ff9da1d6717ac2e72aba691675c33efb9b505da094395b1c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ACVMZZYVGU6X2YFGGQRCBA7CJP/bundle.json","state_url":"https://pith.science/pith/ACVMZZYVGU6X2YFGGQRCBA7CJP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ACVMZZYVGU6X2YFGGQRCBA7CJP/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":"2026-06-09T08:36:26Z","links":{"resolver":"https://pith.science/pith/ACVMZZYVGU6X2YFGGQRCBA7CJP","bundle":"https://pith.science/pith/ACVMZZYVGU6X2YFGGQRCBA7CJP/bundle.json","state":"https://pith.science/pith/ACVMZZYVGU6X2YFGGQRCBA7CJP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ACVMZZYVGU6X2YFGGQRCBA7CJP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ACVMZZYVGU6X2YFGGQRCBA7CJP","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":"6117d6d32cbd049a7a9b00c5d167672d7b2e91950a9759b239b45a37523a0932","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-05T11:33:04Z","title_canon_sha256":"6ddbf1f35c0c9fc4d9c4a2015e5834d7167811ce07f2ef2bb2bf9bd215572312"},"schema_version":"1.0","source":{"id":"1707.01327","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.01327","created_at":"2026-05-18T00:40:53Z"},{"alias_kind":"arxiv_version","alias_value":"1707.01327v1","created_at":"2026-05-18T00:40:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.01327","created_at":"2026-05-18T00:40:53Z"},{"alias_kind":"pith_short_12","alias_value":"ACVMZZYVGU6X","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"ACVMZZYVGU6X2YFG","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"ACVMZZYV","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:6535691413ab0c75ff9da1d6717ac2e72aba691675c33efb9b505da094395b1c","target":"graph","created_at":"2026-05-18T00:40:53Z","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 generalize former results of Zuo and the first author showing some hyperbolicity properties of varieties supporting a variation of Hodge structure. Our proof only uses the special curvature properties of period domains. In particular, in contrast to the former approaches, it does not use any result on the asymptotic behaviour of the Hodge metric.","authors_text":"Benoit Cadorel, Yohan Brunebarbe","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-05T11:33:04Z","title":"Hyperbolicity of varieties supporting a variation of Hodge structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01327","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":"sha256:5144533c0f6316fcf608f210f5c250c4081bb175e8e529c3d89eaa116b6aee02","target":"record","created_at":"2026-05-18T00:40:53Z","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":"6117d6d32cbd049a7a9b00c5d167672d7b2e91950a9759b239b45a37523a0932","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-05T11:33:04Z","title_canon_sha256":"6ddbf1f35c0c9fc4d9c4a2015e5834d7167811ce07f2ef2bb2bf9bd215572312"},"schema_version":"1.0","source":{"id":"1707.01327","kind":"arxiv","version":1}},"canonical_sha256":"00aacce715353d7d60a634222083e24bed7c479968f3b4b17df71fecc1ac3050","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00aacce715353d7d60a634222083e24bed7c479968f3b4b17df71fecc1ac3050","first_computed_at":"2026-05-18T00:40:53.132466Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:53.132466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"seBLx7uV1vym/4LFUbTyxdCpvxtAnLp79DjCa2/VLbm3qq72Di8gjQ8Q+zIC74S7aqCWw8P1kFx5WeMIezGwCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:53.132960Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.01327","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5144533c0f6316fcf608f210f5c250c4081bb175e8e529c3d89eaa116b6aee02","sha256:6535691413ab0c75ff9da1d6717ac2e72aba691675c33efb9b505da094395b1c"],"state_sha256":"4f161750c330b8b65050c5f14d97937b749cbd49b9b695f42cd18acfa4122809"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Sa7o3oUKuHxINagXjG/y6IAsWxf/1Hm5gQURE05CbUeTb0SKHu1DOUmlMlBejaPBW7+FMdF8IED+KCIxujMCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T08:36:26.581029Z","bundle_sha256":"6a2d73fd19c96b0ba88e16ee3065b2e8631acce0f4c468b435b5935849e38111"}}