{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:BOSZG5WX4NBPMJZAGAITWYNOJR","short_pith_number":"pith:BOSZG5WX","schema_version":"1.0","canonical_sha256":"0ba59376d7e342f6272030113b61ae4c7af1351afd4b4eaaf71e7423be0a3b1c","source":{"kind":"arxiv","id":"1611.04410","version":3},"attestation_state":"computed","paper":{"title":"Quasi-asymptotically conical Calabi-Yau manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AP"],"primary_cat":"math.DG","authors_text":"Anda Degeratu, Fr\\'ed\\'eric Rochon, Ronan J. Conlon","submitted_at":"2016-11-14T15:10:38Z","abstract_excerpt":"We construct new examples of quasi-asymptotically conical (QAC) Calabi-Yau manifolds that are not quasi-asymptotically locally Euclidean (QALE). We do so by first providing a natural compactification of QAC-spaces by manifolds with fibred corners and by giving a definition of QAC-metrics in terms of an associated Lie algebra of smooth vector fields on this compactification. Thanks to this compactification and the Fredholm theory for elliptic operators on QAC-spaces developed by the second author and Mazzeo, we can in many instances obtain K\\\"ahler QAC-metrics having Ricci potential decaying su"},"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":"1611.04410","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-11-14T15:10:38Z","cross_cats_sorted":["math.AG","math.AP"],"title_canon_sha256":"c7847241461517a26c284bb71ee1a279901da8d303f44a09499d5a8cfd742deb","abstract_canon_sha256":"c3c9af846d9621f7450ccbae95b537a2071e7ad8bc27d9d5cb3500de19ce2462"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:14.989255Z","signature_b64":"hm5fEaSLyznlg+72iYLvxqZw+qCMCpF9JWv9ZbF1EbB0uuD8UOWmXbf2/zcZVVVrc+VuvuXOSqEgPdCzgmYBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ba59376d7e342f6272030113b61ae4c7af1351afd4b4eaaf71e7423be0a3b1c","last_reissued_at":"2026-05-17T23:51:14.988754Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:14.988754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasi-asymptotically conical Calabi-Yau manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AP"],"primary_cat":"math.DG","authors_text":"Anda Degeratu, Fr\\'ed\\'eric Rochon, Ronan J. Conlon","submitted_at":"2016-11-14T15:10:38Z","abstract_excerpt":"We construct new examples of quasi-asymptotically conical (QAC) Calabi-Yau manifolds that are not quasi-asymptotically locally Euclidean (QALE). We do so by first providing a natural compactification of QAC-spaces by manifolds with fibred corners and by giving a definition of QAC-metrics in terms of an associated Lie algebra of smooth vector fields on this compactification. Thanks to this compactification and the Fredholm theory for elliptic operators on QAC-spaces developed by the second author and Mazzeo, we can in many instances obtain K\\\"ahler QAC-metrics having Ricci potential decaying su"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.04410","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":"1611.04410","created_at":"2026-05-17T23:51:14.988823+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.04410v3","created_at":"2026-05-17T23:51:14.988823+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.04410","created_at":"2026-05-17T23:51:14.988823+00:00"},{"alias_kind":"pith_short_12","alias_value":"BOSZG5WX4NBP","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"BOSZG5WX4NBPMJZA","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"BOSZG5WX","created_at":"2026-05-18T12:30:07.202191+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/BOSZG5WX4NBPMJZAGAITWYNOJR","json":"https://pith.science/pith/BOSZG5WX4NBPMJZAGAITWYNOJR.json","graph_json":"https://pith.science/api/pith-number/BOSZG5WX4NBPMJZAGAITWYNOJR/graph.json","events_json":"https://pith.science/api/pith-number/BOSZG5WX4NBPMJZAGAITWYNOJR/events.json","paper":"https://pith.science/paper/BOSZG5WX"},"agent_actions":{"view_html":"https://pith.science/pith/BOSZG5WX4NBPMJZAGAITWYNOJR","download_json":"https://pith.science/pith/BOSZG5WX4NBPMJZAGAITWYNOJR.json","view_paper":"https://pith.science/paper/BOSZG5WX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.04410&json=true","fetch_graph":"https://pith.science/api/pith-number/BOSZG5WX4NBPMJZAGAITWYNOJR/graph.json","fetch_events":"https://pith.science/api/pith-number/BOSZG5WX4NBPMJZAGAITWYNOJR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BOSZG5WX4NBPMJZAGAITWYNOJR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BOSZG5WX4NBPMJZAGAITWYNOJR/action/storage_attestation","attest_author":"https://pith.science/pith/BOSZG5WX4NBPMJZAGAITWYNOJR/action/author_attestation","sign_citation":"https://pith.science/pith/BOSZG5WX4NBPMJZAGAITWYNOJR/action/citation_signature","submit_replication":"https://pith.science/pith/BOSZG5WX4NBPMJZAGAITWYNOJR/action/replication_record"}},"created_at":"2026-05-17T23:51:14.988823+00:00","updated_at":"2026-05-17T23:51:14.988823+00:00"}