{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:BJOC63U53RK57F7S4HWBUDOSBJ","short_pith_number":"pith:BJOC63U5","schema_version":"1.0","canonical_sha256":"0a5c2f6e9ddc55df97f2e1ec1a0dd20a6fd8c4d04c9fa9a0e7f077383c835f3d","source":{"kind":"arxiv","id":"1307.6514","version":3},"attestation_state":"computed","paper":{"title":"Short Tops and Semistable Degenerations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Adam Gewiss, Alexa Syryczuk, Andrey Novoseltsev, Charles Doran, Dmitri Skjorshammer, Ryan Davis, Ursula Whitcher","submitted_at":"2013-07-24T18:14:50Z","abstract_excerpt":"One may construct a large class of Calabi-Yau varieties by taking anticanonical hypersurfaces in toric varieties obtained from reflexive polytopes. If the intersection of a reflexive polytope with a hyperplane through the origin yields a lower-dimensional reflexive polytope, then the corresponding Calabi-Yau varieties are fibered by lower-dimensional Calabi-Yau varieties. A top generalizes the idea of splitting a reflexive polytope into two pieces. In contrast to the classification of reflexive polytopes, there are infinite families of equivalence classes of tops. Tops may be used to describe "},"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":"1307.6514","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-07-24T18:14:50Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"03022f4a55f3f3218f0a08c570d90fb6fdb18fd456e7c06c1e0e3f4aa2df1de7","abstract_canon_sha256":"64ef15b1e352245fb7dc04d56682bfb92d0b55633d16a9ce4a183cd048e8145a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:03.407261Z","signature_b64":"E2FTDiJPjcBT5wrAKNRY1OW4TNbUSLw3YXJSPTJuskSS77MoYikE5HzPK09mb1jm4bBZHig929V7RARdtdiAAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a5c2f6e9ddc55df97f2e1ec1a0dd20a6fd8c4d04c9fa9a0e7f077383c835f3d","last_reissued_at":"2026-05-18T02:50:03.406416Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:03.406416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Short Tops and Semistable Degenerations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Adam Gewiss, Alexa Syryczuk, Andrey Novoseltsev, Charles Doran, Dmitri Skjorshammer, Ryan Davis, Ursula Whitcher","submitted_at":"2013-07-24T18:14:50Z","abstract_excerpt":"One may construct a large class of Calabi-Yau varieties by taking anticanonical hypersurfaces in toric varieties obtained from reflexive polytopes. If the intersection of a reflexive polytope with a hyperplane through the origin yields a lower-dimensional reflexive polytope, then the corresponding Calabi-Yau varieties are fibered by lower-dimensional Calabi-Yau varieties. A top generalizes the idea of splitting a reflexive polytope into two pieces. In contrast to the classification of reflexive polytopes, there are infinite families of equivalence classes of tops. Tops may be used to describe "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6514","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1307.6514","created_at":"2026-05-18T02:50:03.406537+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.6514v3","created_at":"2026-05-18T02:50:03.406537+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6514","created_at":"2026-05-18T02:50:03.406537+00:00"},{"alias_kind":"pith_short_12","alias_value":"BJOC63U53RK5","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"BJOC63U53RK57F7S","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"BJOC63U5","created_at":"2026-05-18T12:27:38.830355+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BJOC63U53RK57F7S4HWBUDOSBJ","json":"https://pith.science/pith/BJOC63U53RK57F7S4HWBUDOSBJ.json","graph_json":"https://pith.science/api/pith-number/BJOC63U53RK57F7S4HWBUDOSBJ/graph.json","events_json":"https://pith.science/api/pith-number/BJOC63U53RK57F7S4HWBUDOSBJ/events.json","paper":"https://pith.science/paper/BJOC63U5"},"agent_actions":{"view_html":"https://pith.science/pith/BJOC63U53RK57F7S4HWBUDOSBJ","download_json":"https://pith.science/pith/BJOC63U53RK57F7S4HWBUDOSBJ.json","view_paper":"https://pith.science/paper/BJOC63U5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.6514&json=true","fetch_graph":"https://pith.science/api/pith-number/BJOC63U53RK57F7S4HWBUDOSBJ/graph.json","fetch_events":"https://pith.science/api/pith-number/BJOC63U53RK57F7S4HWBUDOSBJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BJOC63U53RK57F7S4HWBUDOSBJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BJOC63U53RK57F7S4HWBUDOSBJ/action/storage_attestation","attest_author":"https://pith.science/pith/BJOC63U53RK57F7S4HWBUDOSBJ/action/author_attestation","sign_citation":"https://pith.science/pith/BJOC63U53RK57F7S4HWBUDOSBJ/action/citation_signature","submit_replication":"https://pith.science/pith/BJOC63U53RK57F7S4HWBUDOSBJ/action/replication_record"}},"created_at":"2026-05-18T02:50:03.406537+00:00","updated_at":"2026-05-18T02:50:03.406537+00:00"}