{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:NN7TT5GPXABO6R3SDZMZJQHERH","short_pith_number":"pith:NN7TT5GP","canonical_record":{"source":{"id":"1202.5348","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-24T00:14:46Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"50e5956d63ea4dedd3d51e67d77de3064cc9e7bb2545682ffd51be9f76c94f07","abstract_canon_sha256":"1edee30cfb51f3eeda44a054e956b6df523faa9c94d70c6eb2a5e42ec707a51d"},"schema_version":"1.0"},"canonical_sha256":"6b7f39f4cfb802ef47721e5994c0e489dd43c803009cd86c169da66d8a71b247","source":{"kind":"arxiv","id":"1202.5348","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5348","created_at":"2026-05-18T04:01:14Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5348v2","created_at":"2026-05-18T04:01:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5348","created_at":"2026-05-18T04:01:14Z"},{"alias_kind":"pith_short_12","alias_value":"NN7TT5GPXABO","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NN7TT5GPXABO6R3S","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NN7TT5GP","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:NN7TT5GPXABO6R3SDZMZJQHERH","target":"record","payload":{"canonical_record":{"source":{"id":"1202.5348","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-24T00:14:46Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"50e5956d63ea4dedd3d51e67d77de3064cc9e7bb2545682ffd51be9f76c94f07","abstract_canon_sha256":"1edee30cfb51f3eeda44a054e956b6df523faa9c94d70c6eb2a5e42ec707a51d"},"schema_version":"1.0"},"canonical_sha256":"6b7f39f4cfb802ef47721e5994c0e489dd43c803009cd86c169da66d8a71b247","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:14.304929Z","signature_b64":"Eb9tJE5A34prNSaIfjOt2h2G1HEA1zFY7xL21IosEXyAxWQr+ImV7pA/iRHSu4EoU4RwaPILOFK0cwjFJhRSAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b7f39f4cfb802ef47721e5994c0e489dd43c803009cd86c169da66d8a71b247","last_reissued_at":"2026-05-18T04:01:14.304263Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:14.304263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.5348","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:01:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oeSDZk34UZogQcMKZZwN2PZW09dSAYC6CwAExPuVsTiH8AmBZkSPISdvwIB6F4KOWsQTLHGCO2r4wlOkaL6DBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T04:59:13.714516Z"},"content_sha256":"ec30a0d4498d07efe8fd53f3132d5d929725921d2595730f9dc233bc8d4f38e6","schema_version":"1.0","event_id":"sha256:ec30a0d4498d07efe8fd53f3132d5d929725921d2595730f9dc233bc8d4f38e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:NN7TT5GPXABO6R3SDZMZJQHERH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transcendental Brauer elements via descent on elliptic surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Bianca Viray","submitted_at":"2012-02-24T00:14:46Z","abstract_excerpt":"Transcendental Brauer elements are notoriously difficult to compute. Work of Wittenberg, and later, Ieronymou, gives a method for computing 2-torsion transcendental classes on surfaces that have a genus 1 fibration with rational 2-torsion in the Jacobian fibration. We use ideas from a descent paper of Poonen and Schaefer to remove this assumption on the rational 2-torsion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5348","kind":"arxiv","version":2},"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":"2026-05-18T04:01:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v23z5ZaZi8ka+lLp3r/QAK/sTdOtx/8OdM2mTRbAbXQAz3uP53odDayVFobCrPfGG1aExRkGdMMSk5PSGHmCAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T04:59:13.714860Z"},"content_sha256":"a997f40e443f7f1b8f82f4f0f5c42486339fd2bca3d9026e74e525c9a1fafd05","schema_version":"1.0","event_id":"sha256:a997f40e443f7f1b8f82f4f0f5c42486339fd2bca3d9026e74e525c9a1fafd05"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NN7TT5GPXABO6R3SDZMZJQHERH/bundle.json","state_url":"https://pith.science/pith/NN7TT5GPXABO6R3SDZMZJQHERH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NN7TT5GPXABO6R3SDZMZJQHERH/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":"2026-06-20T04:59:13Z","links":{"resolver":"https://pith.science/pith/NN7TT5GPXABO6R3SDZMZJQHERH","bundle":"https://pith.science/pith/NN7TT5GPXABO6R3SDZMZJQHERH/bundle.json","state":"https://pith.science/pith/NN7TT5GPXABO6R3SDZMZJQHERH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NN7TT5GPXABO6R3SDZMZJQHERH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NN7TT5GPXABO6R3SDZMZJQHERH","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":"1edee30cfb51f3eeda44a054e956b6df523faa9c94d70c6eb2a5e42ec707a51d","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-24T00:14:46Z","title_canon_sha256":"50e5956d63ea4dedd3d51e67d77de3064cc9e7bb2545682ffd51be9f76c94f07"},"schema_version":"1.0","source":{"id":"1202.5348","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.5348","created_at":"2026-05-18T04:01:14Z"},{"alias_kind":"arxiv_version","alias_value":"1202.5348v2","created_at":"2026-05-18T04:01:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.5348","created_at":"2026-05-18T04:01:14Z"},{"alias_kind":"pith_short_12","alias_value":"NN7TT5GPXABO","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NN7TT5GPXABO6R3S","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NN7TT5GP","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:a997f40e443f7f1b8f82f4f0f5c42486339fd2bca3d9026e74e525c9a1fafd05","target":"graph","created_at":"2026-05-18T04:01:14Z","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":"Transcendental Brauer elements are notoriously difficult to compute. Work of Wittenberg, and later, Ieronymou, gives a method for computing 2-torsion transcendental classes on surfaces that have a genus 1 fibration with rational 2-torsion in the Jacobian fibration. We use ideas from a descent paper of Poonen and Schaefer to remove this assumption on the rational 2-torsion.","authors_text":"Bianca Viray","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-24T00:14:46Z","title":"Transcendental Brauer elements via descent on elliptic surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.5348","kind":"arxiv","version":2},"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:ec30a0d4498d07efe8fd53f3132d5d929725921d2595730f9dc233bc8d4f38e6","target":"record","created_at":"2026-05-18T04:01:14Z","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":"1edee30cfb51f3eeda44a054e956b6df523faa9c94d70c6eb2a5e42ec707a51d","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-02-24T00:14:46Z","title_canon_sha256":"50e5956d63ea4dedd3d51e67d77de3064cc9e7bb2545682ffd51be9f76c94f07"},"schema_version":"1.0","source":{"id":"1202.5348","kind":"arxiv","version":2}},"canonical_sha256":"6b7f39f4cfb802ef47721e5994c0e489dd43c803009cd86c169da66d8a71b247","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b7f39f4cfb802ef47721e5994c0e489dd43c803009cd86c169da66d8a71b247","first_computed_at":"2026-05-18T04:01:14.304263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:14.304263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Eb9tJE5A34prNSaIfjOt2h2G1HEA1zFY7xL21IosEXyAxWQr+ImV7pA/iRHSu4EoU4RwaPILOFK0cwjFJhRSAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:14.304929Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.5348","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec30a0d4498d07efe8fd53f3132d5d929725921d2595730f9dc233bc8d4f38e6","sha256:a997f40e443f7f1b8f82f4f0f5c42486339fd2bca3d9026e74e525c9a1fafd05"],"state_sha256":"6273b751871205a17db2a8286046215a320e750f171679983e45dc9cb32832fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NaaGvkb2AuGg8ZsyrMlUcq0JzkqBk3bNlg7Uk7x0scFgn0tF0pDAjUZvlN79AC4o7RsK0dMLTEP54BSLOFI1AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T04:59:13.716812Z","bundle_sha256":"fba9bd04f2cfea86b1aaabf03fcf01cac7d15f0b75703f67e142258040b14485"}}