{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:GSRJEXKBCZHBCSDUKUDFZ5QPZH","short_pith_number":"pith:GSRJEXKB","schema_version":"1.0","canonical_sha256":"34a2925d41164e11487455065cf60fc9ea6087f5c712ea93432eda0a30070ce6","source":{"kind":"arxiv","id":"0807.3346","version":2},"attestation_state":"computed","paper":{"title":"Desingularization of G_2 manifolds with isolated conical singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Spiro Karigiannis","submitted_at":"2008-07-21T20:16:31Z","abstract_excerpt":"We present a method to desingularize a compact G_2 manifold with isolated conical singularities by cutting out a neighbourhood of each singular point and glueing in an asymptotically conical G_2 manifold. Controlling the error on the overlap glueing region enables us to use a result of Joyce to conclude that the resulting compact smooth 7-manifold admits a torsion-free G_2 structure, with full G_2 holonomy.\n  There are topological obstructions for this procedure to work, which arise from the degree 3 and degree 4 cohomology of the asymptotically conical G_2 manifolds which are glued in at each"},"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":"0807.3346","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-07-21T20:16:31Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"add2915a24be548abbb79d4a8f043c2358393da78fe910277d9e5ed34a74425c","abstract_canon_sha256":"e02fe08bd97de206c624af55f9170a2e301c8f48eee686553ad7a3937af79a7e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:19.073921Z","signature_b64":"/FAPf3aG9uge9v3NQ8L8tSv8lwVgMF1H02htgmNoyXCqo6I3sJtJV8MkVrjDcbstPgbuauLTQS3QrGkUC34/Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34a2925d41164e11487455065cf60fc9ea6087f5c712ea93432eda0a30070ce6","last_reissued_at":"2026-05-18T02:38:19.073336Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:19.073336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Desingularization of G_2 manifolds with isolated conical singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Spiro Karigiannis","submitted_at":"2008-07-21T20:16:31Z","abstract_excerpt":"We present a method to desingularize a compact G_2 manifold with isolated conical singularities by cutting out a neighbourhood of each singular point and glueing in an asymptotically conical G_2 manifold. Controlling the error on the overlap glueing region enables us to use a result of Joyce to conclude that the resulting compact smooth 7-manifold admits a torsion-free G_2 structure, with full G_2 holonomy.\n  There are topological obstructions for this procedure to work, which arise from the degree 3 and degree 4 cohomology of the asymptotically conical G_2 manifolds which are glued in at each"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.3346","kind":"arxiv","version":2},"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":"0807.3346","created_at":"2026-05-18T02:38:19.073446+00:00"},{"alias_kind":"arxiv_version","alias_value":"0807.3346v2","created_at":"2026-05-18T02:38:19.073446+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.3346","created_at":"2026-05-18T02:38:19.073446+00:00"},{"alias_kind":"pith_short_12","alias_value":"GSRJEXKBCZHB","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"GSRJEXKBCZHBCSDU","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"GSRJEXKB","created_at":"2026-05-18T12:25:57.157939+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/GSRJEXKBCZHBCSDUKUDFZ5QPZH","json":"https://pith.science/pith/GSRJEXKBCZHBCSDUKUDFZ5QPZH.json","graph_json":"https://pith.science/api/pith-number/GSRJEXKBCZHBCSDUKUDFZ5QPZH/graph.json","events_json":"https://pith.science/api/pith-number/GSRJEXKBCZHBCSDUKUDFZ5QPZH/events.json","paper":"https://pith.science/paper/GSRJEXKB"},"agent_actions":{"view_html":"https://pith.science/pith/GSRJEXKBCZHBCSDUKUDFZ5QPZH","download_json":"https://pith.science/pith/GSRJEXKBCZHBCSDUKUDFZ5QPZH.json","view_paper":"https://pith.science/paper/GSRJEXKB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0807.3346&json=true","fetch_graph":"https://pith.science/api/pith-number/GSRJEXKBCZHBCSDUKUDFZ5QPZH/graph.json","fetch_events":"https://pith.science/api/pith-number/GSRJEXKBCZHBCSDUKUDFZ5QPZH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GSRJEXKBCZHBCSDUKUDFZ5QPZH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GSRJEXKBCZHBCSDUKUDFZ5QPZH/action/storage_attestation","attest_author":"https://pith.science/pith/GSRJEXKBCZHBCSDUKUDFZ5QPZH/action/author_attestation","sign_citation":"https://pith.science/pith/GSRJEXKBCZHBCSDUKUDFZ5QPZH/action/citation_signature","submit_replication":"https://pith.science/pith/GSRJEXKBCZHBCSDUKUDFZ5QPZH/action/replication_record"}},"created_at":"2026-05-18T02:38:19.073446+00:00","updated_at":"2026-05-18T02:38:19.073446+00:00"}