{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:MVNUGWHPVJS3R2JSGUAYOTAXJN","short_pith_number":"pith:MVNUGWHP","canonical_record":{"source":{"id":"1501.04974","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-01-20T21:12:15Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"29bb4e725ee3a40061fc7f39cd3847f36654445ec9e9e246ccc22515c4f41067","abstract_canon_sha256":"283090a155affa705baa75f406ab608a18f8d7db11a66bc82a677d40c9719973"},"schema_version":"1.0"},"canonical_sha256":"655b4358efaa65b8e9323501874c174b63dfe7e7a957d5d9da1891b6ab7b2b0b","source":{"kind":"arxiv","id":"1501.04974","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.04974","created_at":"2026-05-18T02:29:01Z"},{"alias_kind":"arxiv_version","alias_value":"1501.04974v1","created_at":"2026-05-18T02:29:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04974","created_at":"2026-05-18T02:29:01Z"},{"alias_kind":"pith_short_12","alias_value":"MVNUGWHPVJS3","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MVNUGWHPVJS3R2JS","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MVNUGWHP","created_at":"2026-05-18T12:29:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:MVNUGWHPVJS3R2JSGUAYOTAXJN","target":"record","payload":{"canonical_record":{"source":{"id":"1501.04974","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-01-20T21:12:15Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"29bb4e725ee3a40061fc7f39cd3847f36654445ec9e9e246ccc22515c4f41067","abstract_canon_sha256":"283090a155affa705baa75f406ab608a18f8d7db11a66bc82a677d40c9719973"},"schema_version":"1.0"},"canonical_sha256":"655b4358efaa65b8e9323501874c174b63dfe7e7a957d5d9da1891b6ab7b2b0b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:01.016652Z","signature_b64":"AOkT3JMsHFV7evkwbe/uVVVgN0IIzomjPaPAbMRLbwxixlhjUljQVXSFDi+eU/HnXxCvWwKB8dNLtJVI6qPNCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"655b4358efaa65b8e9323501874c174b63dfe7e7a957d5d9da1891b6ab7b2b0b","last_reissued_at":"2026-05-18T02:29:01.016223Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:01.016223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.04974","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":"2026-05-18T02:29:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+FTvNluSBOYGZRTzWPskL2KjKhPQRWLXQpPBM/d3DeIOVaPKmtJCQUCZdi4HEzbA9P9pC2YSHA0rOzipuQPSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T19:30:12.502081Z"},"content_sha256":"d67ca2efeedb579f79d641a4589e9da004ae462a6024e90386b86f93321a0d56","schema_version":"1.0","event_id":"sha256:d67ca2efeedb579f79d641a4589e9da004ae462a6024e90386b86f93321a0d56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:MVNUGWHPVJS3R2JSGUAYOTAXJN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Insufficiency of the Brauer-Manin obstruction for Enriques surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Bianca Viray, Francesca Balestrieri, Jennifer Berg, Jennifer Park, Michelle Manes","submitted_at":"2015-01-20T21:12:15Z","abstract_excerpt":"In 2011, V\\`arilly-Alvarado and the last author constructed an Enriques surface $X$ over $\\mathbb{Q}$ with an \\'etale-Brauer obstruction to the Hasse principle and no algebraic Brauer-Manin obstruction. In this paper, we show that the nontrivial Brauer class of $X_{\\bar{\\mathbb{Q}}}$ does not descend to $\\mathbb{Q}$. Together with the results of V\\`arilly-Alvarado and the last author, this proves that the Brauer-Manin obstruction is insufficient to explain all failures of the Hasse principle on Enriques surfaces. The methods of this paper build on the ideas in several recent papers by the last"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04974","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":""},"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":"2026-05-18T02:29:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1+kHKAYYyRIkAfr1THP8xE0PX++s4Thvhp3YFkw0Ml8U+4TRUquiUDHMygm6jC8WQp/hvpobXK0WTFKkTNf5CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T19:30:12.502454Z"},"content_sha256":"ef17cc508c9c1831a510d81e4751ec034ca1d2ee1675ff749496b22655c4277b","schema_version":"1.0","event_id":"sha256:ef17cc508c9c1831a510d81e4751ec034ca1d2ee1675ff749496b22655c4277b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MVNUGWHPVJS3R2JSGUAYOTAXJN/bundle.json","state_url":"https://pith.science/pith/MVNUGWHPVJS3R2JSGUAYOTAXJN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MVNUGWHPVJS3R2JSGUAYOTAXJN/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":"2026-06-11T19:30:12Z","links":{"resolver":"https://pith.science/pith/MVNUGWHPVJS3R2JSGUAYOTAXJN","bundle":"https://pith.science/pith/MVNUGWHPVJS3R2JSGUAYOTAXJN/bundle.json","state":"https://pith.science/pith/MVNUGWHPVJS3R2JSGUAYOTAXJN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MVNUGWHPVJS3R2JSGUAYOTAXJN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:MVNUGWHPVJS3R2JSGUAYOTAXJN","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":"283090a155affa705baa75f406ab608a18f8d7db11a66bc82a677d40c9719973","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-01-20T21:12:15Z","title_canon_sha256":"29bb4e725ee3a40061fc7f39cd3847f36654445ec9e9e246ccc22515c4f41067"},"schema_version":"1.0","source":{"id":"1501.04974","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.04974","created_at":"2026-05-18T02:29:01Z"},{"alias_kind":"arxiv_version","alias_value":"1501.04974v1","created_at":"2026-05-18T02:29:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04974","created_at":"2026-05-18T02:29:01Z"},{"alias_kind":"pith_short_12","alias_value":"MVNUGWHPVJS3","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"MVNUGWHPVJS3R2JS","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"MVNUGWHP","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:ef17cc508c9c1831a510d81e4751ec034ca1d2ee1675ff749496b22655c4277b","target":"graph","created_at":"2026-05-18T02:29:01Z","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":"In 2011, V\\`arilly-Alvarado and the last author constructed an Enriques surface $X$ over $\\mathbb{Q}$ with an \\'etale-Brauer obstruction to the Hasse principle and no algebraic Brauer-Manin obstruction. In this paper, we show that the nontrivial Brauer class of $X_{\\bar{\\mathbb{Q}}}$ does not descend to $\\mathbb{Q}$. Together with the results of V\\`arilly-Alvarado and the last author, this proves that the Brauer-Manin obstruction is insufficient to explain all failures of the Hasse principle on Enriques surfaces. The methods of this paper build on the ideas in several recent papers by the last","authors_text":"Bianca Viray, Francesca Balestrieri, Jennifer Berg, Jennifer Park, Michelle Manes","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-01-20T21:12:15Z","title":"Insufficiency of the Brauer-Manin obstruction for Enriques surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04974","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:d67ca2efeedb579f79d641a4589e9da004ae462a6024e90386b86f93321a0d56","target":"record","created_at":"2026-05-18T02:29:01Z","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":"283090a155affa705baa75f406ab608a18f8d7db11a66bc82a677d40c9719973","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-01-20T21:12:15Z","title_canon_sha256":"29bb4e725ee3a40061fc7f39cd3847f36654445ec9e9e246ccc22515c4f41067"},"schema_version":"1.0","source":{"id":"1501.04974","kind":"arxiv","version":1}},"canonical_sha256":"655b4358efaa65b8e9323501874c174b63dfe7e7a957d5d9da1891b6ab7b2b0b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"655b4358efaa65b8e9323501874c174b63dfe7e7a957d5d9da1891b6ab7b2b0b","first_computed_at":"2026-05-18T02:29:01.016223Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:01.016223Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AOkT3JMsHFV7evkwbe/uVVVgN0IIzomjPaPAbMRLbwxixlhjUljQVXSFDi+eU/HnXxCvWwKB8dNLtJVI6qPNCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:01.016652Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.04974","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d67ca2efeedb579f79d641a4589e9da004ae462a6024e90386b86f93321a0d56","sha256:ef17cc508c9c1831a510d81e4751ec034ca1d2ee1675ff749496b22655c4277b"],"state_sha256":"4daff98d33081f569e4219a6775e5ccb1b5a4eab5ed77ba226a295a2ffda140b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b9xMLm3m+SDwfrZcQaDu+Rhl8ylzkgb5+2SDiWOAP+wKoZbK6qSjVoaOB53eGt/bz5OTQ3pS+MpGceITtKiLBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T19:30:12.505616Z","bundle_sha256":"8b4a9c95620d0671151968d1446a054255f462e6a6e5a7abea60b33392e32cd9"}}