{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:CBJ3KXLPFEHDSA6MNMKR7ZK7SH","short_pith_number":"pith:CBJ3KXLP","schema_version":"1.0","canonical_sha256":"1053b55d6f290e3903cc6b151fe55f91e4b9b183d91586604619ff260efd3f2b","source":{"kind":"arxiv","id":"1911.06138","version":4},"attestation_state":"computed","paper":{"title":"Tropical degenerations and stable rationality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Johannes Nicaise, John Christian Ottem","submitted_at":"2019-11-14T14:46:38Z","abstract_excerpt":"We use the motivic obstruction to stable rationality introduced by Shinder and the first-named author to establish several new classes of stably irrational hypersurfaces and complete intersections. In particular, we show that very general quartic fivefolds and complete intersections of a quadric and a cubic in $\\mathbb P^6$ are stably irrational. An important new ingredient is the use of tropical degeneration techniques."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1911.06138","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-11-14T14:46:38Z","cross_cats_sorted":[],"title_canon_sha256":"4df27815d3d2b03d707064886bbbd38b78794cd50a418fee8727e522aae06330","abstract_canon_sha256":"9e634efada20d708212fb6a8958b875a43c49bb342edd6e6722bd2a9dd9fe718"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:52:23.265447Z","signature_b64":"IEorRGXYG011wVQr5oTV8CcMZE5jUJ0sjIqsSdd/HGYZVf8d/GmjRtCFBSaKrkjujVv+pD3c4xkkWaJwhhPyAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1053b55d6f290e3903cc6b151fe55f91e4b9b183d91586604619ff260efd3f2b","last_reissued_at":"2026-07-05T03:52:23.264983Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:52:23.264983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tropical degenerations and stable rationality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Johannes Nicaise, John Christian Ottem","submitted_at":"2019-11-14T14:46:38Z","abstract_excerpt":"We use the motivic obstruction to stable rationality introduced by Shinder and the first-named author to establish several new classes of stably irrational hypersurfaces and complete intersections. In particular, we show that very general quartic fivefolds and complete intersections of a quadric and a cubic in $\\mathbb P^6$ are stably irrational. An important new ingredient is the use of tropical degeneration techniques."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.06138","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1911.06138/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1911.06138","created_at":"2026-07-05T03:52:23.265038+00:00"},{"alias_kind":"arxiv_version","alias_value":"1911.06138v4","created_at":"2026-07-05T03:52:23.265038+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.06138","created_at":"2026-07-05T03:52:23.265038+00:00"},{"alias_kind":"pith_short_12","alias_value":"CBJ3KXLPFEHD","created_at":"2026-07-05T03:52:23.265038+00:00"},{"alias_kind":"pith_short_16","alias_value":"CBJ3KXLPFEHDSA6M","created_at":"2026-07-05T03:52:23.265038+00:00"},{"alias_kind":"pith_short_8","alias_value":"CBJ3KXLP","created_at":"2026-07-05T03:52:23.265038+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1909.01263","citing_title":"Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds","ref_index":26,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CBJ3KXLPFEHDSA6MNMKR7ZK7SH","json":"https://pith.science/pith/CBJ3KXLPFEHDSA6MNMKR7ZK7SH.json","graph_json":"https://pith.science/api/pith-number/CBJ3KXLPFEHDSA6MNMKR7ZK7SH/graph.json","events_json":"https://pith.science/api/pith-number/CBJ3KXLPFEHDSA6MNMKR7ZK7SH/events.json","paper":"https://pith.science/paper/CBJ3KXLP"},"agent_actions":{"view_html":"https://pith.science/pith/CBJ3KXLPFEHDSA6MNMKR7ZK7SH","download_json":"https://pith.science/pith/CBJ3KXLPFEHDSA6MNMKR7ZK7SH.json","view_paper":"https://pith.science/paper/CBJ3KXLP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1911.06138&json=true","fetch_graph":"https://pith.science/api/pith-number/CBJ3KXLPFEHDSA6MNMKR7ZK7SH/graph.json","fetch_events":"https://pith.science/api/pith-number/CBJ3KXLPFEHDSA6MNMKR7ZK7SH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CBJ3KXLPFEHDSA6MNMKR7ZK7SH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CBJ3KXLPFEHDSA6MNMKR7ZK7SH/action/storage_attestation","attest_author":"https://pith.science/pith/CBJ3KXLPFEHDSA6MNMKR7ZK7SH/action/author_attestation","sign_citation":"https://pith.science/pith/CBJ3KXLPFEHDSA6MNMKR7ZK7SH/action/citation_signature","submit_replication":"https://pith.science/pith/CBJ3KXLPFEHDSA6MNMKR7ZK7SH/action/replication_record"}},"created_at":"2026-07-05T03:52:23.265038+00:00","updated_at":"2026-07-05T03:52:23.265038+00:00"}