{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:I2M5UEUSDHZ5RZQUBPDYIDEJBP","short_pith_number":"pith:I2M5UEUS","canonical_record":{"source":{"id":"1712.04745","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-12-13T12:56:25Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"e246037da79877d126367ac48de73bf852c19b58a6cf36db35d1f251a88c3df2","abstract_canon_sha256":"2b0861d074a038c7666fb0f492965fcd6aa73c1298d45358b2255e155443999e"},"schema_version":"1.0"},"canonical_sha256":"4699da129219f3d8e6140bc7840c890bf443b6448144f774a90cb520c3743ff0","source":{"kind":"arxiv","id":"1712.04745","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.04745","created_at":"2026-05-17T23:56:34Z"},{"alias_kind":"arxiv_version","alias_value":"1712.04745v2","created_at":"2026-05-17T23:56:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04745","created_at":"2026-05-17T23:56:34Z"},{"alias_kind":"pith_short_12","alias_value":"I2M5UEUSDHZ5","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"I2M5UEUSDHZ5RZQU","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"I2M5UEUS","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:I2M5UEUSDHZ5RZQUBPDYIDEJBP","target":"record","payload":{"canonical_record":{"source":{"id":"1712.04745","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-12-13T12:56:25Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"e246037da79877d126367ac48de73bf852c19b58a6cf36db35d1f251a88c3df2","abstract_canon_sha256":"2b0861d074a038c7666fb0f492965fcd6aa73c1298d45358b2255e155443999e"},"schema_version":"1.0"},"canonical_sha256":"4699da129219f3d8e6140bc7840c890bf443b6448144f774a90cb520c3743ff0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:34.282957Z","signature_b64":"jYBStzBOJ9CpKcdSQW4V0ot6XSLSIluzLmApLtNrFKZtR7/isCf5vujortdA0DaUoWpsHy+MbH0g3cJG8KnPBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4699da129219f3d8e6140bc7840c890bf443b6448144f774a90cb520c3743ff0","last_reissued_at":"2026-05-17T23:56:34.282422Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:34.282422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.04745","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":"2026-05-17T23:56:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vGj4VKte/zpx9M+RHIYZv3tyzBd9V7vWz3ODWh19xdrCWqBPxhtcnvOiWd9jVrk/Kh3rvenSdzi+IlUzLWwzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T03:10:32.171775Z"},"content_sha256":"62732639f13dab0eb56d6152c38546f843e400b90a3d76b485ec0371860a6aff","schema_version":"1.0","event_id":"sha256:62732639f13dab0eb56d6152c38546f843e400b90a3d76b485ec0371860a6aff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:I2M5UEUSDHZ5RZQUBPDYIDEJBP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the algebraic Brauer classes on open degree four del Pezzo surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Damaris Schindler, J\\\"org Jahnel","submitted_at":"2017-12-13T12:56:25Z","abstract_excerpt":"We study the algebraic Brauer classes on open del Pezzo surfaces of degree $4$. I.e., on the complements of geometrically irreducible hyperplane sections of del Pezzo surfaces of degree $4$. We show that the $2$-torsion part is generated by classes of two different types. Moreover, there are two types of $4$-torsion classes. For each type, we discuss methods for the evaluation of such a class at a rational point over a $p$-adic field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04745","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":"2026-05-17T23:56:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cxg3b6AUpeS7c3h0qEfej7jf8DIW3NGPsVdpaNiFdlUBIMqWzuwA89t/EJbkt1mNLHH4p/9jL4skXzOx5EV9AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T03:10:32.172349Z"},"content_sha256":"d098151adddfae11fb995084540d3e467a96e0d7609ce8af8ddd38e4e08bda43","schema_version":"1.0","event_id":"sha256:d098151adddfae11fb995084540d3e467a96e0d7609ce8af8ddd38e4e08bda43"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I2M5UEUSDHZ5RZQUBPDYIDEJBP/bundle.json","state_url":"https://pith.science/pith/I2M5UEUSDHZ5RZQUBPDYIDEJBP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I2M5UEUSDHZ5RZQUBPDYIDEJBP/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":"2026-06-08T03:10:32Z","links":{"resolver":"https://pith.science/pith/I2M5UEUSDHZ5RZQUBPDYIDEJBP","bundle":"https://pith.science/pith/I2M5UEUSDHZ5RZQUBPDYIDEJBP/bundle.json","state":"https://pith.science/pith/I2M5UEUSDHZ5RZQUBPDYIDEJBP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I2M5UEUSDHZ5RZQUBPDYIDEJBP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:I2M5UEUSDHZ5RZQUBPDYIDEJBP","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":"2b0861d074a038c7666fb0f492965fcd6aa73c1298d45358b2255e155443999e","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-12-13T12:56:25Z","title_canon_sha256":"e246037da79877d126367ac48de73bf852c19b58a6cf36db35d1f251a88c3df2"},"schema_version":"1.0","source":{"id":"1712.04745","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.04745","created_at":"2026-05-17T23:56:34Z"},{"alias_kind":"arxiv_version","alias_value":"1712.04745v2","created_at":"2026-05-17T23:56:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.04745","created_at":"2026-05-17T23:56:34Z"},{"alias_kind":"pith_short_12","alias_value":"I2M5UEUSDHZ5","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"I2M5UEUSDHZ5RZQU","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"I2M5UEUS","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:d098151adddfae11fb995084540d3e467a96e0d7609ce8af8ddd38e4e08bda43","target":"graph","created_at":"2026-05-17T23:56:34Z","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 study the algebraic Brauer classes on open del Pezzo surfaces of degree $4$. I.e., on the complements of geometrically irreducible hyperplane sections of del Pezzo surfaces of degree $4$. We show that the $2$-torsion part is generated by classes of two different types. Moreover, there are two types of $4$-torsion classes. For each type, we discuss methods for the evaluation of such a class at a rational point over a $p$-adic field.","authors_text":"Damaris Schindler, J\\\"org Jahnel","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-12-13T12:56:25Z","title":"On the algebraic Brauer classes on open degree four del Pezzo surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.04745","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":"sha256:62732639f13dab0eb56d6152c38546f843e400b90a3d76b485ec0371860a6aff","target":"record","created_at":"2026-05-17T23:56:34Z","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":"2b0861d074a038c7666fb0f492965fcd6aa73c1298d45358b2255e155443999e","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-12-13T12:56:25Z","title_canon_sha256":"e246037da79877d126367ac48de73bf852c19b58a6cf36db35d1f251a88c3df2"},"schema_version":"1.0","source":{"id":"1712.04745","kind":"arxiv","version":2}},"canonical_sha256":"4699da129219f3d8e6140bc7840c890bf443b6448144f774a90cb520c3743ff0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4699da129219f3d8e6140bc7840c890bf443b6448144f774a90cb520c3743ff0","first_computed_at":"2026-05-17T23:56:34.282422Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:34.282422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jYBStzBOJ9CpKcdSQW4V0ot6XSLSIluzLmApLtNrFKZtR7/isCf5vujortdA0DaUoWpsHy+MbH0g3cJG8KnPBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:34.282957Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.04745","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62732639f13dab0eb56d6152c38546f843e400b90a3d76b485ec0371860a6aff","sha256:d098151adddfae11fb995084540d3e467a96e0d7609ce8af8ddd38e4e08bda43"],"state_sha256":"ea3c84e7889d07556f39bc19a6977ab8b2395d44909a2ef5e6805e3873343fd3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+nQj+kSKeLnEpEiPYiLlpGC+2+i7MnyZZay6aMy60pmzuSc4t4PBc4yIV/dU5xXde0gy0CASNJJANFTqmguiBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T03:10:32.175488Z","bundle_sha256":"b3399d13fd57202cbb1377f0129b33b29a2da10bc828fd0e7592caa0ebb42d7a"}}