{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"e98bd8af8a7bf9d5648a9b069609f739a8d0e77b0230759ff4c534aee7ea8987","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["650fbc5425def5b9314cb4fd17a24badf28972fd510a000b2562b34f2276c5c7","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"158cbc45573ad0b826d289020476a1269535cd8c014da8ac81a0871dabb23d26","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"qft.string-vacua.landscape-finiteness","kind":"well-posed","literature_status":"partially-resolved","n":"2","parents":[],"plain":"String theory offers many ways to curl up extra dimensions. Whether the number of distinct low-energy universes is finite is unknown.","posed_since":"","precise":"Determine whether the set of string compactifications to 4D with a bounded number of light fields and effective theories valid below a fixed cutoff is finite, including whether the number of topologically distinct Calabi-Yau threefolds is finite.","problem_ref":"650fbc5425def5b9314cb4fd17a24badf28972fd510a000b2562b34f2276c5c7","references":"","settled_by":"A finiteness theorem for all compactifications below a fixed cutoff, or an infinite family of distinct consistent vacua.","status_note":"Finiteness of tadpole-bounded flux vacua on a fixed Calabi-Yau orientifold was proven with tame geometry (Bakker, Grimm, Schnell, Tsimerman 2021); finiteness of Calabi-Yau threefold topologies remains open.","title":"Is the number of string vacua finite?","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"a912a19a6eaa24797bbf8e80f94a259db974d032cdd18b4910c392fb65196851","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"5a3cdb94cdd725c29abfcb1e2a8318664563c9ce12e117321e06f19c75fbacb3","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"DAdNo8mwyU6IRXWPgU23ezvutkHpMvrSNPnqiZzJsraQbysiM_tuIZoK67TpBAWqlGfhEemC7fnwyBBYdog3DQ"},"schema":"pubphys.envelope/1"},"record_hash":"a912a19a6eaa24797bbf8e80f94a259db974d032cdd18b4910c392fb65196851","leaf_index":3686}