{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:F3UJUMTMCK5DQFFWDRSJAMRBKT","short_pith_number":"pith:F3UJUMTM","canonical_record":{"source":{"id":"0811.4286","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-11-26T12:37:46Z","cross_cats_sorted":[],"title_canon_sha256":"acb192e5a5a9d415e3c0693d5f54bc60d6dd1ee1a5e06ed7b0c8d96167be995c","abstract_canon_sha256":"91d58c367e4c12f2496eeac26708bb5753dfbb86804a9333b64677c54e6b9fd9"},"schema_version":"1.0"},"canonical_sha256":"2ee89a326c12ba3814b61c6490322154ed0b8f78d9179be3a5dc0a70e335f2ee","source":{"kind":"arxiv","id":"0811.4286","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.4286","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"arxiv_version","alias_value":"0811.4286v2","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.4286","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"pith_short_12","alias_value":"F3UJUMTMCK5D","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"F3UJUMTMCK5DQFFW","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"F3UJUMTM","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:F3UJUMTMCK5DQFFWDRSJAMRBKT","target":"record","payload":{"canonical_record":{"source":{"id":"0811.4286","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-11-26T12:37:46Z","cross_cats_sorted":[],"title_canon_sha256":"acb192e5a5a9d415e3c0693d5f54bc60d6dd1ee1a5e06ed7b0c8d96167be995c","abstract_canon_sha256":"91d58c367e4c12f2496eeac26708bb5753dfbb86804a9333b64677c54e6b9fd9"},"schema_version":"1.0"},"canonical_sha256":"2ee89a326c12ba3814b61c6490322154ed0b8f78d9179be3a5dc0a70e335f2ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:35.416353Z","signature_b64":"v4JDJUvPWTWTJ9eyBMn6e4vaHBQ/SPbcKL9qNvMkvu/7wp8lvgVKgViJg+j4RUk4/truNDX8RVzK+umsf94bAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ee89a326c12ba3814b61c6490322154ed0b8f78d9179be3a5dc0a70e335f2ee","last_reissued_at":"2026-05-18T04:24:35.415867Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:35.415867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0811.4286","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":"2026-05-18T04:24:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pYO5ijcBQ/W9atmhTVrekwgdMwC7JqcYfyxLDq22c/X0VEHDweX37RSWx6nb6KY9jRuu9jrt5OvV7MgCPzqBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:36:23.843065Z"},"content_sha256":"291e97b237d823976400027c62bbe8479c72e8c16480173cb5f9151e138ba922","schema_version":"1.0","event_id":"sha256:291e97b237d823976400027c62bbe8479c72e8c16480173cb5f9151e138ba922"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:F3UJUMTMCK5DQFFWDRSJAMRBKT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Forgetful maps between Deligne-Mostow ball quotients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Martin Deraux (IF)","submitted_at":"2008-11-26T12:37:46Z","abstract_excerpt":"We study forgetful maps between Deligne-Mostow moduli spaces of weighted points on P^1, and classify the forgetful maps that extend to a map of orbifolds between the stable completions. The cases where this happens include the Livn\\'e fibrations and the Mostow/Toledo maps between complex hyperbolic surfaces. They also include a retraction of a 3-dimensional ball quotient onto one of its 1-dimensional totally geodesic complex submanifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.4286","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":"2026-05-18T04:24:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pb6Ls7L4+RNBQzPN47qi9oiwzqiBwiyiejpkeNCCOkLhk1WpAOAud8NABnaFjm6JDmTAQdAeEQJJGE/9VSXSAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:36:23.843790Z"},"content_sha256":"fe9619cf76914a6c89b2970c12b2775e86f7d2edc3540e9727ecefa23cec4276","schema_version":"1.0","event_id":"sha256:fe9619cf76914a6c89b2970c12b2775e86f7d2edc3540e9727ecefa23cec4276"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F3UJUMTMCK5DQFFWDRSJAMRBKT/bundle.json","state_url":"https://pith.science/pith/F3UJUMTMCK5DQFFWDRSJAMRBKT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F3UJUMTMCK5DQFFWDRSJAMRBKT/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":"2026-06-09T08:36:23Z","links":{"resolver":"https://pith.science/pith/F3UJUMTMCK5DQFFWDRSJAMRBKT","bundle":"https://pith.science/pith/F3UJUMTMCK5DQFFWDRSJAMRBKT/bundle.json","state":"https://pith.science/pith/F3UJUMTMCK5DQFFWDRSJAMRBKT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F3UJUMTMCK5DQFFWDRSJAMRBKT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:F3UJUMTMCK5DQFFWDRSJAMRBKT","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":"91d58c367e4c12f2496eeac26708bb5753dfbb86804a9333b64677c54e6b9fd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-11-26T12:37:46Z","title_canon_sha256":"acb192e5a5a9d415e3c0693d5f54bc60d6dd1ee1a5e06ed7b0c8d96167be995c"},"schema_version":"1.0","source":{"id":"0811.4286","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.4286","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"arxiv_version","alias_value":"0811.4286v2","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.4286","created_at":"2026-05-18T04:24:35Z"},{"alias_kind":"pith_short_12","alias_value":"F3UJUMTMCK5D","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"F3UJUMTMCK5DQFFW","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"F3UJUMTM","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:fe9619cf76914a6c89b2970c12b2775e86f7d2edc3540e9727ecefa23cec4276","target":"graph","created_at":"2026-05-18T04:24:35Z","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 study forgetful maps between Deligne-Mostow moduli spaces of weighted points on P^1, and classify the forgetful maps that extend to a map of orbifolds between the stable completions. The cases where this happens include the Livn\\'e fibrations and the Mostow/Toledo maps between complex hyperbolic surfaces. They also include a retraction of a 3-dimensional ball quotient onto one of its 1-dimensional totally geodesic complex submanifolds.","authors_text":"Martin Deraux (IF)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-11-26T12:37:46Z","title":"Forgetful maps between Deligne-Mostow ball quotients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.4286","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":"sha256:291e97b237d823976400027c62bbe8479c72e8c16480173cb5f9151e138ba922","target":"record","created_at":"2026-05-18T04:24:35Z","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":"91d58c367e4c12f2496eeac26708bb5753dfbb86804a9333b64677c54e6b9fd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2008-11-26T12:37:46Z","title_canon_sha256":"acb192e5a5a9d415e3c0693d5f54bc60d6dd1ee1a5e06ed7b0c8d96167be995c"},"schema_version":"1.0","source":{"id":"0811.4286","kind":"arxiv","version":2}},"canonical_sha256":"2ee89a326c12ba3814b61c6490322154ed0b8f78d9179be3a5dc0a70e335f2ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ee89a326c12ba3814b61c6490322154ed0b8f78d9179be3a5dc0a70e335f2ee","first_computed_at":"2026-05-18T04:24:35.415867Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:35.415867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v4JDJUvPWTWTJ9eyBMn6e4vaHBQ/SPbcKL9qNvMkvu/7wp8lvgVKgViJg+j4RUk4/truNDX8RVzK+umsf94bAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:35.416353Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.4286","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:291e97b237d823976400027c62bbe8479c72e8c16480173cb5f9151e138ba922","sha256:fe9619cf76914a6c89b2970c12b2775e86f7d2edc3540e9727ecefa23cec4276"],"state_sha256":"57683d27631b4e5844de02c593e1c7f43d76d892a0125ac43de22eb3519114f9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MKoEiVjMi/spyKbLzwc5ZzYkswiCWkf7/qWg+F4dTcJIhwt5BF8g7bostnV03tNeFgRRjAWPj1ucJWNPBT/oDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T08:36:23.847905Z","bundle_sha256":"7a043b9c597a154843ef86ddae71b3e4bfae17eaa5b32a14677bece4cb022a7c"}}