{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:X6Z2AUE6R3BD3JIPJG3VERNTIE","short_pith_number":"pith:X6Z2AUE6","canonical_record":{"source":{"id":"2410.12753","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-10-16T17:15:44Z","cross_cats_sorted":["math.CV","math.DG"],"title_canon_sha256":"8e653e74dd541594203a89040ba8d13fb2604f00e8705d1e68224fb5288d3fd9","abstract_canon_sha256":"ab1b441cbee8298fd8c946f8cad383ad9c70ad38a015ee31d7b8e75c6fbc7ad1"},"schema_version":"1.0"},"canonical_sha256":"bfb3a0509e8ec23da50f49b75245b3411bebd9236ab7bfd7bdd8e07fcd148eea","source":{"kind":"arxiv","id":"2410.12753","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.12753","created_at":"2026-07-05T09:21:33Z"},{"alias_kind":"arxiv_version","alias_value":"2410.12753v1","created_at":"2026-07-05T09:21:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.12753","created_at":"2026-07-05T09:21:33Z"},{"alias_kind":"pith_short_12","alias_value":"X6Z2AUE6R3BD","created_at":"2026-07-05T09:21:33Z"},{"alias_kind":"pith_short_16","alias_value":"X6Z2AUE6R3BD3JIP","created_at":"2026-07-05T09:21:33Z"},{"alias_kind":"pith_short_8","alias_value":"X6Z2AUE6","created_at":"2026-07-05T09:21:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:X6Z2AUE6R3BD3JIPJG3VERNTIE","target":"record","payload":{"canonical_record":{"source":{"id":"2410.12753","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-10-16T17:15:44Z","cross_cats_sorted":["math.CV","math.DG"],"title_canon_sha256":"8e653e74dd541594203a89040ba8d13fb2604f00e8705d1e68224fb5288d3fd9","abstract_canon_sha256":"ab1b441cbee8298fd8c946f8cad383ad9c70ad38a015ee31d7b8e75c6fbc7ad1"},"schema_version":"1.0"},"canonical_sha256":"bfb3a0509e8ec23da50f49b75245b3411bebd9236ab7bfd7bdd8e07fcd148eea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:21:33.478209Z","signature_b64":"7c8tPq2oXOgnbsc7qFNgu45Hr0R++tZ8EEt1SeCnOVYMAeLjlGCOxWP9TEGDbAwPUfD4+sOA3WDnqPFCOTZKDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfb3a0509e8ec23da50f49b75245b3411bebd9236ab7bfd7bdd8e07fcd148eea","last_reissued_at":"2026-07-05T09:21:33.477865Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:21:33.477865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.12753","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":"2026-07-05T09:21:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"feMjt9e47Mk+fOisd1UGOxQbrHl9MG/8Ub70R4LfVberICJUlizeDuy2cGsQWj1OJiJNczX9BsHNwLIOCYqeAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T01:37:27.726036Z"},"content_sha256":"99a632bfec84a9ebcb225c6e97383b88a90ecb4b79161184e1cd6b05c9c91508","schema_version":"1.0","event_id":"sha256:99a632bfec84a9ebcb225c6e97383b88a90ecb4b79161184e1cd6b05c9c91508"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:X6Z2AUE6R3BD3JIPJG3VERNTIE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Uniformization of klt pairs by bounded symmetric domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.DG"],"primary_cat":"math.AG","authors_text":"Aryaman Patel, Patrick Graf","submitted_at":"2024-10-16T17:15:44Z","abstract_excerpt":"Given a complex-projective klt pair $(X, \\Delta)$ with standard coefficients and such that $K_X + \\Delta$ is ample, we determine necessary and sufficient conditions for the pair $(X, \\Delta)$ to be uniformized by a bounded symmetric domain. As an application, we obtain characterizations of orbifold quotients of the polydisc and of the four classical irreducible bounded symmetric domains in terms of Miyaoka-Yau-type Chern equalities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.12753","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.12753/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:21:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fJeBGxSb+JNQpLmZs4hbiCCr3zeFHzHDdxvt5Ip+Tx4KLhMype1ThLKYUuykleUac/BJsdHGnsm1K5hXR3B6BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T01:37:27.726965Z"},"content_sha256":"df2994d02a0de266b974948f4b29a635bf19bb3f1d38cc8385632bbcd6e7b009","schema_version":"1.0","event_id":"sha256:df2994d02a0de266b974948f4b29a635bf19bb3f1d38cc8385632bbcd6e7b009"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X6Z2AUE6R3BD3JIPJG3VERNTIE/bundle.json","state_url":"https://pith.science/pith/X6Z2AUE6R3BD3JIPJG3VERNTIE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X6Z2AUE6R3BD3JIPJG3VERNTIE/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":"2026-08-15T01:37:27Z","links":{"resolver":"https://pith.science/pith/X6Z2AUE6R3BD3JIPJG3VERNTIE","bundle":"https://pith.science/pith/X6Z2AUE6R3BD3JIPJG3VERNTIE/bundle.json","state":"https://pith.science/pith/X6Z2AUE6R3BD3JIPJG3VERNTIE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X6Z2AUE6R3BD3JIPJG3VERNTIE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:X6Z2AUE6R3BD3JIPJG3VERNTIE","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":"ab1b441cbee8298fd8c946f8cad383ad9c70ad38a015ee31d7b8e75c6fbc7ad1","cross_cats_sorted":["math.CV","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-10-16T17:15:44Z","title_canon_sha256":"8e653e74dd541594203a89040ba8d13fb2604f00e8705d1e68224fb5288d3fd9"},"schema_version":"1.0","source":{"id":"2410.12753","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.12753","created_at":"2026-07-05T09:21:33Z"},{"alias_kind":"arxiv_version","alias_value":"2410.12753v1","created_at":"2026-07-05T09:21:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.12753","created_at":"2026-07-05T09:21:33Z"},{"alias_kind":"pith_short_12","alias_value":"X6Z2AUE6R3BD","created_at":"2026-07-05T09:21:33Z"},{"alias_kind":"pith_short_16","alias_value":"X6Z2AUE6R3BD3JIP","created_at":"2026-07-05T09:21:33Z"},{"alias_kind":"pith_short_8","alias_value":"X6Z2AUE6","created_at":"2026-07-05T09:21:33Z"}],"graph_snapshots":[{"event_id":"sha256:df2994d02a0de266b974948f4b29a635bf19bb3f1d38cc8385632bbcd6e7b009","target":"graph","created_at":"2026-07-05T09:21:33Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2410.12753/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Given a complex-projective klt pair $(X, \\Delta)$ with standard coefficients and such that $K_X + \\Delta$ is ample, we determine necessary and sufficient conditions for the pair $(X, \\Delta)$ to be uniformized by a bounded symmetric domain. As an application, we obtain characterizations of orbifold quotients of the polydisc and of the four classical irreducible bounded symmetric domains in terms of Miyaoka-Yau-type Chern equalities.","authors_text":"Aryaman Patel, Patrick Graf","cross_cats":["math.CV","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-10-16T17:15:44Z","title":"Uniformization of klt pairs by bounded symmetric domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.12753","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":"sha256:99a632bfec84a9ebcb225c6e97383b88a90ecb4b79161184e1cd6b05c9c91508","target":"record","created_at":"2026-07-05T09:21:33Z","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":"ab1b441cbee8298fd8c946f8cad383ad9c70ad38a015ee31d7b8e75c6fbc7ad1","cross_cats_sorted":["math.CV","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-10-16T17:15:44Z","title_canon_sha256":"8e653e74dd541594203a89040ba8d13fb2604f00e8705d1e68224fb5288d3fd9"},"schema_version":"1.0","source":{"id":"2410.12753","kind":"arxiv","version":1}},"canonical_sha256":"bfb3a0509e8ec23da50f49b75245b3411bebd9236ab7bfd7bdd8e07fcd148eea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfb3a0509e8ec23da50f49b75245b3411bebd9236ab7bfd7bdd8e07fcd148eea","first_computed_at":"2026-07-05T09:21:33.477865Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:21:33.477865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7c8tPq2oXOgnbsc7qFNgu45Hr0R++tZ8EEt1SeCnOVYMAeLjlGCOxWP9TEGDbAwPUfD4+sOA3WDnqPFCOTZKDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:21:33.478209Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.12753","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99a632bfec84a9ebcb225c6e97383b88a90ecb4b79161184e1cd6b05c9c91508","sha256:df2994d02a0de266b974948f4b29a635bf19bb3f1d38cc8385632bbcd6e7b009"],"state_sha256":"c66fc2b4ecf18bf29489408d486c0c1b4f936cfd4fec31660cbaba517599f507"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3zXNyFO2aYy+A5zM4KwzBU2/iDGcIg8GZZGh45oEI4NhgqUdChmyknVSV5zGVuxIRB6Zsrzel89pceG2keWiAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T01:37:27.816439Z","bundle_sha256":"26d781548fbd8eb8f94176769c5037536b61aa1266cc5d50906d24d1e086ce91"}}