{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6C7E37BHF75GFLAYUX2EF227ZP","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":"2f18232963497f9c189f3bb832b6079b30784511f855f1a5e5f2998403196e4a","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-09T20:36:46Z","title_canon_sha256":"46aec094dd593acf2455c6e8c920e1c95cdfeac2963b9c2ac95e95c50cee30fa"},"schema_version":"1.0","source":{"id":"1312.2572","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2572","created_at":"2026-05-18T03:05:09Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2572v1","created_at":"2026-05-18T03:05:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2572","created_at":"2026-05-18T03:05:09Z"},{"alias_kind":"pith_short_12","alias_value":"6C7E37BHF75G","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6C7E37BHF75GFLAY","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6C7E37BH","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:fd7e64747d5a1d585f04c6095f81d667c06c8b3ffb2d67da8791335963402328","target":"graph","created_at":"2026-05-18T03:05:09Z","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 construct new examples of cubic surfaces, for which the Hasse principle fails. Thereby, we show that, over every number field, the counterexamples to the Hasse principle are Zariski dense in the moduli scheme of non-singular cubic surfaces.","authors_text":"Andreas-Stephan Elsenhans, J\\\"org Jahnel","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-09T20:36:46Z","title":"Cubic surfaces violating the Hasse principle are Zariski dense in the moduli scheme"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2572","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:d28965c958a34fec313fb53528f470a0508157f6fa2fc83762436cd40789a0f7","target":"record","created_at":"2026-05-18T03:05:09Z","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":"2f18232963497f9c189f3bb832b6079b30784511f855f1a5e5f2998403196e4a","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-09T20:36:46Z","title_canon_sha256":"46aec094dd593acf2455c6e8c920e1c95cdfeac2963b9c2ac95e95c50cee30fa"},"schema_version":"1.0","source":{"id":"1312.2572","kind":"arxiv","version":1}},"canonical_sha256":"f0be4dfc272ffa62ac18a5f442eb5fcbe43aa6fe01e46643919ed2b7c0dbd448","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0be4dfc272ffa62ac18a5f442eb5fcbe43aa6fe01e46643919ed2b7c0dbd448","first_computed_at":"2026-05-18T03:05:09.985782Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:09.985782Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XmANGCtk+iEoU6WnlOapWDEGWWtqkpa0r4hrdxcBFdERqK+0ic/idv9boRrLhcZBGKXiC4ox7rAb2uGh/DJxAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:09.986283Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.2572","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d28965c958a34fec313fb53528f470a0508157f6fa2fc83762436cd40789a0f7","sha256:fd7e64747d5a1d585f04c6095f81d667c06c8b3ffb2d67da8791335963402328"],"state_sha256":"9478af3ebb8deb3704d564a037677cce4aea4a25bc23146f962d887a72baef90"}