{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OIUJQXMWVQFKC2ITIDRYU6PRBF","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":"3157a18b099b7d980af0ac93633c7142456be251d4b08f5c6f10554223d01e29","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-15T23:30:31Z","title_canon_sha256":"23e66421236922762ed3b662761fd17ad7b9e144bf0f278a54d73f25501428ce"},"schema_version":"1.0","source":{"id":"1502.04386","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.04386","created_at":"2026-05-18T01:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"1502.04386v1","created_at":"2026-05-18T01:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.04386","created_at":"2026-05-18T01:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"OIUJQXMWVQFK","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OIUJQXMWVQFKC2IT","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OIUJQXMW","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:1c04a9c08370c58c5a09162feccc1ae2d710930fb9ee58e7a7834ce1cf1ebe1f","target":"graph","created_at":"2026-05-18T01:18:14Z","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":"This note gives an explicit example of transcendental Brauer-Manin obstruction to weak approximation. It has two features which the only previously known example of such obstruction did not have: the class in the Brauer group which is responsible for the obstruction is divisible, and the underlying algebraic variety is an elliptic surface (a K3 surface).","authors_text":"Olivier Wittenberg","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-15T23:30:31Z","title":"Transcendental Brauer-Manin obstruction on a pencil of elliptic curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.04386","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:c2c4e6e9b5667379d315d0cfea76470b85d328a0b6a957fa94f9618e81c4b3bd","target":"record","created_at":"2026-05-18T01:18:14Z","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":"3157a18b099b7d980af0ac93633c7142456be251d4b08f5c6f10554223d01e29","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-02-15T23:30:31Z","title_canon_sha256":"23e66421236922762ed3b662761fd17ad7b9e144bf0f278a54d73f25501428ce"},"schema_version":"1.0","source":{"id":"1502.04386","kind":"arxiv","version":1}},"canonical_sha256":"7228985d96ac0aa1691340e38a79f1097f7d34292d267b25b3c098de376d5220","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7228985d96ac0aa1691340e38a79f1097f7d34292d267b25b3c098de376d5220","first_computed_at":"2026-05-18T01:18:14.775540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:14.775540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XgBo992B6b+UhoaaAtIMloaZzwgOTr/ZnY2SvaEkO3ntqEsHBw5DIAwhgAjTPChpGTa66vOlOF9E5boU0lJWAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:14.776159Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.04386","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2c4e6e9b5667379d315d0cfea76470b85d328a0b6a957fa94f9618e81c4b3bd","sha256:1c04a9c08370c58c5a09162feccc1ae2d710930fb9ee58e7a7834ce1cf1ebe1f"],"state_sha256":"58606f1bc8016be120f555b2d33c86f4c92cc4bd1de376b27ff5bc9d24c9f83c"}