{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AGM2HA4PVTLQV7HO5VXZ4OS52K","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":"939a29d0e86b955891d63d93de2d371e9a1d5ee10ec43073ab9664f75a09706a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-05T14:50:00Z","title_canon_sha256":"a46b338adc0cb7c36359b85f05ffe21f344b2a56a238509a0fb5adfecdd3949b"},"schema_version":"1.0","source":{"id":"1706.01356","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.01356","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"arxiv_version","alias_value":"1706.01356v5","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.01356","created_at":"2026-05-17T23:51:00Z"},{"alias_kind":"pith_short_12","alias_value":"AGM2HA4PVTLQ","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"AGM2HA4PVTLQV7HO","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"AGM2HA4P","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:fd75b6daa31fa7cd76170dbe9ddc87afaab5e4ea90b443ed23ce7953e6750f02","target":"graph","created_at":"2026-05-17T23:51:00Z","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 classify all positive integers n and r such that (stably) non-rational complex r-fold quadric bundles over rational n-folds exist. We show in particular that for any n and r, a wide class of smooth r-fold quadric bundles over projective n-space are not stably rational if r lies in the interval from $2^{n-1}-1$ to $2^{n}-2$. In our proofs we introduce a generalization of the specialization method of Voisin and Colliot-Th\\'el\\`ene--Pirutka which avoids universally $CH_0$-trivial resolutions of singularities.","authors_text":"Stefan Schreieder","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-05T14:50:00Z","title":"On the rationality problem for quadric bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01356","kind":"arxiv","version":5},"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":"sha256:566b93216fea83783bfe1309a7d46d915c029e64709dbe87b4a767b426f1bca2","target":"record","created_at":"2026-05-17T23:51:00Z","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":"939a29d0e86b955891d63d93de2d371e9a1d5ee10ec43073ab9664f75a09706a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-05T14:50:00Z","title_canon_sha256":"a46b338adc0cb7c36359b85f05ffe21f344b2a56a238509a0fb5adfecdd3949b"},"schema_version":"1.0","source":{"id":"1706.01356","kind":"arxiv","version":5}},"canonical_sha256":"0199a3838facd70afceeed6f9e3a5dd2adeb180173c4afa14c22068ad61471d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0199a3838facd70afceeed6f9e3a5dd2adeb180173c4afa14c22068ad61471d8","first_computed_at":"2026-05-17T23:51:00.310034Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:00.310034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aNHE0NlaEGILRG0JAtL6zHgWX95XD3zkNijmacWZ+ijVAOPfBVXfEkW5fFmkzfNFG5lViULrsKBcmUaltdGLDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:00.311062Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.01356","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:566b93216fea83783bfe1309a7d46d915c029e64709dbe87b4a767b426f1bca2","sha256:fd75b6daa31fa7cd76170dbe9ddc87afaab5e4ea90b443ed23ce7953e6750f02"],"state_sha256":"5aa7488b91baacbb22cd2985480f296a6e4a79d0519beadaddd5bdecc9a81125"}