{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WZMUBPI2CTBX722U6GJDIF34XZ","short_pith_number":"pith:WZMUBPI2","canonical_record":{"source":{"id":"1705.04529","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-12T12:12:10Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"837a7f8e157405b6864e1ffa52f5850b0ad23e7869fe490c0e8cb8d7d894ba92","abstract_canon_sha256":"41a89e9178c0e438a8b3f1666554755408fd6361fa40b945ff3b9c2ab9385147"},"schema_version":"1.0"},"canonical_sha256":"b65940bd1a14c37feb54f19234177cbe5f082885b5d6a48b58cad5926b814b07","source":{"kind":"arxiv","id":"1705.04529","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04529","created_at":"2026-05-17T23:52:08Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04529v3","created_at":"2026-05-17T23:52:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04529","created_at":"2026-05-17T23:52:08Z"},{"alias_kind":"pith_short_12","alias_value":"WZMUBPI2CTBX","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WZMUBPI2CTBX722U","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WZMUBPI2","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WZMUBPI2CTBX722U6GJDIF34XZ","target":"record","payload":{"canonical_record":{"source":{"id":"1705.04529","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-12T12:12:10Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"837a7f8e157405b6864e1ffa52f5850b0ad23e7869fe490c0e8cb8d7d894ba92","abstract_canon_sha256":"41a89e9178c0e438a8b3f1666554755408fd6361fa40b945ff3b9c2ab9385147"},"schema_version":"1.0"},"canonical_sha256":"b65940bd1a14c37feb54f19234177cbe5f082885b5d6a48b58cad5926b814b07","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:08.501168Z","signature_b64":"C5ZoMkIgXpz0Mm7BRa1sxmxnX/lKUYuFYKcHCr+dYmVPHROGZNylED2+BEJe9B11iWVjlvbPRFe6yePgZXYKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b65940bd1a14c37feb54f19234177cbe5f082885b5d6a48b58cad5926b814b07","last_reissued_at":"2026-05-17T23:52:08.500701Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:08.500701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.04529","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:52:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0PFPUD+Fi6zcS9HIK/6rBz2H8jHh7Janjmq6VZ1+0VxuVA8sYz8VBtPIXszL8IwGSBXWeSgguiHkmMkQgyW4DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:03:08.007501Z"},"content_sha256":"86ed33f4a83632fa05d6cb6fc4300b1eee4ef7d2c983315b7879c49928f6747a","schema_version":"1.0","event_id":"sha256:86ed33f4a83632fa05d6cb6fc4300b1eee4ef7d2c983315b7879c49928f6747a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WZMUBPI2CTBX722U6GJDIF34XZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A uniform bound on the Brauer groups of certain log K3 surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Julian Lyczak, Martin Bright","submitted_at":"2017-05-12T12:12:10Z","abstract_excerpt":"Let U be the complement of a smooth anticanonical divisor in a del Pezzo surface of degree at most 7 over a number field k. We show that there is an effective uniform bound for the size of the Brauer group of U in terms of the degree of k."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04529","kind":"arxiv","version":3},"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":"2026-05-17T23:52:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YYslvuqoDtmUTOZiCkyKa5sixolI3fnL1AAOUCs3brfk8TY0X6scsAE3fM1gYmLNLpV1PznhYF793gsRJgesBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:03:08.007843Z"},"content_sha256":"1425aa88ec16f37522038df22d550692ec9372a693ea703971dc20b28ef4300a","schema_version":"1.0","event_id":"sha256:1425aa88ec16f37522038df22d550692ec9372a693ea703971dc20b28ef4300a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WZMUBPI2CTBX722U6GJDIF34XZ/bundle.json","state_url":"https://pith.science/pith/WZMUBPI2CTBX722U6GJDIF34XZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WZMUBPI2CTBX722U6GJDIF34XZ/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":"2026-06-22T13:03:08Z","links":{"resolver":"https://pith.science/pith/WZMUBPI2CTBX722U6GJDIF34XZ","bundle":"https://pith.science/pith/WZMUBPI2CTBX722U6GJDIF34XZ/bundle.json","state":"https://pith.science/pith/WZMUBPI2CTBX722U6GJDIF34XZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WZMUBPI2CTBX722U6GJDIF34XZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WZMUBPI2CTBX722U6GJDIF34XZ","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":"41a89e9178c0e438a8b3f1666554755408fd6361fa40b945ff3b9c2ab9385147","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-12T12:12:10Z","title_canon_sha256":"837a7f8e157405b6864e1ffa52f5850b0ad23e7869fe490c0e8cb8d7d894ba92"},"schema_version":"1.0","source":{"id":"1705.04529","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04529","created_at":"2026-05-17T23:52:08Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04529v3","created_at":"2026-05-17T23:52:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04529","created_at":"2026-05-17T23:52:08Z"},{"alias_kind":"pith_short_12","alias_value":"WZMUBPI2CTBX","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WZMUBPI2CTBX722U","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WZMUBPI2","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:1425aa88ec16f37522038df22d550692ec9372a693ea703971dc20b28ef4300a","target":"graph","created_at":"2026-05-17T23:52:08Z","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":"Let U be the complement of a smooth anticanonical divisor in a del Pezzo surface of degree at most 7 over a number field k. We show that there is an effective uniform bound for the size of the Brauer group of U in terms of the degree of k.","authors_text":"Julian Lyczak, Martin Bright","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-12T12:12:10Z","title":"A uniform bound on the Brauer groups of certain log K3 surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04529","kind":"arxiv","version":3},"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":"sha256:86ed33f4a83632fa05d6cb6fc4300b1eee4ef7d2c983315b7879c49928f6747a","target":"record","created_at":"2026-05-17T23:52:08Z","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":"41a89e9178c0e438a8b3f1666554755408fd6361fa40b945ff3b9c2ab9385147","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-12T12:12:10Z","title_canon_sha256":"837a7f8e157405b6864e1ffa52f5850b0ad23e7869fe490c0e8cb8d7d894ba92"},"schema_version":"1.0","source":{"id":"1705.04529","kind":"arxiv","version":3}},"canonical_sha256":"b65940bd1a14c37feb54f19234177cbe5f082885b5d6a48b58cad5926b814b07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b65940bd1a14c37feb54f19234177cbe5f082885b5d6a48b58cad5926b814b07","first_computed_at":"2026-05-17T23:52:08.500701Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:08.500701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C5ZoMkIgXpz0Mm7BRa1sxmxnX/lKUYuFYKcHCr+dYmVPHROGZNylED2+BEJe9B11iWVjlvbPRFe6yePgZXYKAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:08.501168Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.04529","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86ed33f4a83632fa05d6cb6fc4300b1eee4ef7d2c983315b7879c49928f6747a","sha256:1425aa88ec16f37522038df22d550692ec9372a693ea703971dc20b28ef4300a"],"state_sha256":"c5392002da0f51eadfdbd1d3ea891d90259d4b4565f618de2e9114d7c2ef9c79"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZdJzKQVMqWXL4AaZU6YwXbueBop6F2p2eytojYOlcMXnDNCIx8zLXniSf5Fz1b4SvX+JN5ZwOiLfybmb0EzZDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T13:03:08.009823Z","bundle_sha256":"f3265b7e8dd20a1a7387136557fa0d33e7b084a6cb8098381ab863f830df37a4"}}