{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:Q5IEF7CPVBTQ5NJKUL243GJG4G","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":"a1722c62eeaefa807af0c899b9e03d49aaec514f65d32d6cadf001fe316dfc7d","cross_cats_sorted":["math.CV","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-15T14:34:31Z","title_canon_sha256":"b14ed1aeb349691b29c038b6d3f7bfad12f6e6b3bef528910a9a4d1b4419e311"},"schema_version":"1.0","source":{"id":"1307.3965","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3965","created_at":"2026-05-18T00:25:40Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3965v2","created_at":"2026-05-18T00:25:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3965","created_at":"2026-05-18T00:25:40Z"},{"alias_kind":"pith_short_12","alias_value":"Q5IEF7CPVBTQ","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"Q5IEF7CPVBTQ5NJK","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"Q5IEF7CP","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:466f91356f3733b4a7159465199343fecc2dd4b393de1d6352b1e0f4aff14495","target":"graph","created_at":"2026-05-18T00:25:40Z","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":"The hyperbolic Ax-Lindemann-Weierstrass conjecture is a functional algebraic independence statement for the uniformizing map of an arithmetic variety. In this paper we provide a proof of this conjecture, generalizing previous work of Pila-Tsimerman and Peterzil-Starchenko.","authors_text":"Andrei Yafaev, Bruno Klingler, Emmanuel Ullmo","cross_cats":["math.CV","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-15T14:34:31Z","title":"The Hyperbolic Ax-Lindemann-Weierstrass conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3965","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:b92aaabdb790bf890943269db9d3ea1730e2c0d221d3c34aaad69005a9a11970","target":"record","created_at":"2026-05-18T00:25:40Z","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":"a1722c62eeaefa807af0c899b9e03d49aaec514f65d32d6cadf001fe316dfc7d","cross_cats_sorted":["math.CV","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-15T14:34:31Z","title_canon_sha256":"b14ed1aeb349691b29c038b6d3f7bfad12f6e6b3bef528910a9a4d1b4419e311"},"schema_version":"1.0","source":{"id":"1307.3965","kind":"arxiv","version":2}},"canonical_sha256":"875042fc4fa8670eb52aa2f5cd9926e1a84c71087f690264d6bc02b3983463d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"875042fc4fa8670eb52aa2f5cd9926e1a84c71087f690264d6bc02b3983463d0","first_computed_at":"2026-05-18T00:25:40.112303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:40.112303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rfuhJE+z1TMkUp0DDRYnuELlQ8Dsg5DBfg26g2jTDDedFy5xw+akKLiFxXIZMgWEKiPOVWl+22M55qAk6IY3CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:40.112987Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.3965","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b92aaabdb790bf890943269db9d3ea1730e2c0d221d3c34aaad69005a9a11970","sha256:466f91356f3733b4a7159465199343fecc2dd4b393de1d6352b1e0f4aff14495"],"state_sha256":"f3ed19387cd77d9df017c7bc471b488c46262e662fbb79343130acd85517597c"}