{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HBQY5G2QPRNG34ZCE3XWJHHLW7","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":"e2b336a67649d8e2bc3f830f657c8207dc54721ecf7d84ed3a1c2904079d9067","cross_cats_sorted":["math.AG","math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-08-27T20:48:55Z","title_canon_sha256":"2796b5826b8ea4b249df04d3cd8e5e6d982ef161a76603736097b3094315b885"},"schema_version":"1.0","source":{"id":"1408.6562","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6562","created_at":"2026-05-18T02:42:05Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6562v2","created_at":"2026-05-18T02:42:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6562","created_at":"2026-05-18T02:42:05Z"},{"alias_kind":"pith_short_12","alias_value":"HBQY5G2QPRNG","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HBQY5G2QPRNG34ZC","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HBQY5G2Q","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:f49d0ff349cbaf07c810d8c18a779cf539789cd9161490a5bfca39f491e35b1d","target":"graph","created_at":"2026-05-18T02:42:05Z","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 prove that the deformation theory of compactifiable asymptotically cylindrical Calabi-Yau manifolds is unobstructed. This relies on a detailed study of the Dolbeault-Hodge theory and its description in terms of the cohomology of the compactification. We also show that these Calabi-Yau metrics admit a polyhomogeneous expansion at infinity, a result that we extend to asymptotically conical Calabi-Yau metrics as well. We then study the moduli space of Calabi-Yau deformations that fix the complex structure at infinity. There is a Weil-Petersson metric on this space which we show is K\\\"ahler. By","authors_text":"Fr\\'ed\\'eric Rochon, Rafe Mazzeo, Ronan J. Conlon","cross_cats":["math.AG","math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-08-27T20:48:55Z","title":"The moduli space of asymptotically cylindrical Calabi-Yau manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6562","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":"sha256:8b4e410ba07f33ce4eb49a0cda55e7d5299fa2ec3e84b9b8a431656e462f4d65","target":"record","created_at":"2026-05-18T02:42:05Z","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":"e2b336a67649d8e2bc3f830f657c8207dc54721ecf7d84ed3a1c2904079d9067","cross_cats_sorted":["math.AG","math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-08-27T20:48:55Z","title_canon_sha256":"2796b5826b8ea4b249df04d3cd8e5e6d982ef161a76603736097b3094315b885"},"schema_version":"1.0","source":{"id":"1408.6562","kind":"arxiv","version":2}},"canonical_sha256":"38618e9b507c5a6df32226ef649cebb7edf4e4be60451fc86708c2c166b72b58","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38618e9b507c5a6df32226ef649cebb7edf4e4be60451fc86708c2c166b72b58","first_computed_at":"2026-05-18T02:42:05.693756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:05.693756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0dbkUaTPCmKhPBaR7TwVC6DT44quImV/70wqvoe3VUHaJwKsU1J0EdAmsAT76h/uDb2GTdVHN4eE410cXUr/AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:05.694172Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.6562","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b4e410ba07f33ce4eb49a0cda55e7d5299fa2ec3e84b9b8a431656e462f4d65","sha256:f49d0ff349cbaf07c810d8c18a779cf539789cd9161490a5bfca39f491e35b1d"],"state_sha256":"93c0e60833adb3ac3d3aa3d7deb4e22f28c868d9a4697c95d1b640a876d1298a"}