{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:7H67VBFWHFPT4KLVVAUIRYJJPL","short_pith_number":"pith:7H67VBFW","canonical_record":{"source":{"id":"1312.6255","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-21T14:16:59Z","cross_cats_sorted":[],"title_canon_sha256":"8accb6f2ec0ca5965d56c414a20eb7c484a472cebb7b877a7baa5cf8232ce4ec","abstract_canon_sha256":"94ea459eb5180dc9043a70e11155c1ab433489c7f69f2f863ed08b9875de9fba"},"schema_version":"1.0"},"canonical_sha256":"f9fdfa84b6395f3e2975a82888e1297ae1e4d2329c62d774fedd98b460d850d6","source":{"kind":"arxiv","id":"1312.6255","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6255","created_at":"2026-05-18T03:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6255v1","created_at":"2026-05-18T03:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6255","created_at":"2026-05-18T03:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"7H67VBFWHFPT","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7H67VBFWHFPT4KLV","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7H67VBFW","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:7H67VBFWHFPT4KLVVAUIRYJJPL","target":"record","payload":{"canonical_record":{"source":{"id":"1312.6255","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-21T14:16:59Z","cross_cats_sorted":[],"title_canon_sha256":"8accb6f2ec0ca5965d56c414a20eb7c484a472cebb7b877a7baa5cf8232ce4ec","abstract_canon_sha256":"94ea459eb5180dc9043a70e11155c1ab433489c7f69f2f863ed08b9875de9fba"},"schema_version":"1.0"},"canonical_sha256":"f9fdfa84b6395f3e2975a82888e1297ae1e4d2329c62d774fedd98b460d850d6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:05.717130Z","signature_b64":"lQV8+JmYcxC6DkLWZ9gzqap/Fv/ZNWrsa7TAoRNUoFlUROdXd8yhHDLv0/RaTiiLVVlhpRuw7LiOsL57PqZiBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9fdfa84b6395f3e2975a82888e1297ae1e4d2329c62d774fedd98b460d850d6","last_reissued_at":"2026-05-18T03:04:05.716679Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:05.716679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.6255","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":"2026-05-18T03:04:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LapwVQWCfFLxT0brOliehLAIchB5FMt4MmBQ4F4fB3hhAryTJTEn7RHiUqU87S061S0TkFbFsnf25uvenIA+Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:03:26.154162Z"},"content_sha256":"7d0f2001e34f0715ff5f9f07ad58f8c24be8f61b4be9dc192ac22cae1b95952d","schema_version":"1.0","event_id":"sha256:7d0f2001e34f0715ff5f9f07ad58f8c24be8f61b4be9dc192ac22cae1b95952d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:7H67VBFWHFPT4KLVVAUIRYJJPL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Odd order Brauer--Manin obstruction on diagonal quartic surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Alexei N. Skorobogatov, Evis Ieronymou","submitted_at":"2013-12-21T14:16:59Z","abstract_excerpt":"We determine the odd order torsion subgroup of the Brauer group of diagonal quartic surfaces over the field of rational numbers. We show that a non-constant Brauer element of odd order always obstructs weak approximation but never the Hasse principle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6255","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":"2026-05-18T03:04:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4+wsAPu1D/LyTSgB9FSFSqCn0WTCKuj7WtaXst2sazT34vNxxqzpSc9sszjCO5XKcisUpgyRU9TrguU/dMPICg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T18:03:26.154539Z"},"content_sha256":"4ed499316c6a7b5d57974c58e5c163a20769bedd3c667afbbfacbbc832ceffdd","schema_version":"1.0","event_id":"sha256:4ed499316c6a7b5d57974c58e5c163a20769bedd3c667afbbfacbbc832ceffdd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7H67VBFWHFPT4KLVVAUIRYJJPL/bundle.json","state_url":"https://pith.science/pith/7H67VBFWHFPT4KLVVAUIRYJJPL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7H67VBFWHFPT4KLVVAUIRYJJPL/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":"2026-06-23T18:03:26Z","links":{"resolver":"https://pith.science/pith/7H67VBFWHFPT4KLVVAUIRYJJPL","bundle":"https://pith.science/pith/7H67VBFWHFPT4KLVVAUIRYJJPL/bundle.json","state":"https://pith.science/pith/7H67VBFWHFPT4KLVVAUIRYJJPL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7H67VBFWHFPT4KLVVAUIRYJJPL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:7H67VBFWHFPT4KLVVAUIRYJJPL","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":"94ea459eb5180dc9043a70e11155c1ab433489c7f69f2f863ed08b9875de9fba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-21T14:16:59Z","title_canon_sha256":"8accb6f2ec0ca5965d56c414a20eb7c484a472cebb7b877a7baa5cf8232ce4ec"},"schema_version":"1.0","source":{"id":"1312.6255","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6255","created_at":"2026-05-18T03:04:05Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6255v1","created_at":"2026-05-18T03:04:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6255","created_at":"2026-05-18T03:04:05Z"},{"alias_kind":"pith_short_12","alias_value":"7H67VBFWHFPT","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"7H67VBFWHFPT4KLV","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"7H67VBFW","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:4ed499316c6a7b5d57974c58e5c163a20769bedd3c667afbbfacbbc832ceffdd","target":"graph","created_at":"2026-05-18T03:04:05Z","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 determine the odd order torsion subgroup of the Brauer group of diagonal quartic surfaces over the field of rational numbers. We show that a non-constant Brauer element of odd order always obstructs weak approximation but never the Hasse principle.","authors_text":"Alexei N. Skorobogatov, Evis Ieronymou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-21T14:16:59Z","title":"Odd order Brauer--Manin obstruction on diagonal quartic surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6255","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":"sha256:7d0f2001e34f0715ff5f9f07ad58f8c24be8f61b4be9dc192ac22cae1b95952d","target":"record","created_at":"2026-05-18T03:04:05Z","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":"94ea459eb5180dc9043a70e11155c1ab433489c7f69f2f863ed08b9875de9fba","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-21T14:16:59Z","title_canon_sha256":"8accb6f2ec0ca5965d56c414a20eb7c484a472cebb7b877a7baa5cf8232ce4ec"},"schema_version":"1.0","source":{"id":"1312.6255","kind":"arxiv","version":1}},"canonical_sha256":"f9fdfa84b6395f3e2975a82888e1297ae1e4d2329c62d774fedd98b460d850d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9fdfa84b6395f3e2975a82888e1297ae1e4d2329c62d774fedd98b460d850d6","first_computed_at":"2026-05-18T03:04:05.716679Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:05.716679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lQV8+JmYcxC6DkLWZ9gzqap/Fv/ZNWrsa7TAoRNUoFlUROdXd8yhHDLv0/RaTiiLVVlhpRuw7LiOsL57PqZiBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:05.717130Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.6255","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d0f2001e34f0715ff5f9f07ad58f8c24be8f61b4be9dc192ac22cae1b95952d","sha256:4ed499316c6a7b5d57974c58e5c163a20769bedd3c667afbbfacbbc832ceffdd"],"state_sha256":"577c1f48c4a51141d9c4b6086c6149c4ba6d3a7d51cb500d2d652c1ef8d731e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gFJhMQuok+QfYCZS6CGbttEMaB47oOWf4xHGlM0PWlj+EdnmRK/fazjNWCqqJq1BKu6tkiqrnnqzVerxiE9lCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T18:03:26.156495Z","bundle_sha256":"d26c33ff1a1d16c4efb81ae55eed10c891a5bfea28f1b9eb502fc6aef7b76430"}}