{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:GSRJEXKBCZHBCSDUKUDFZ5QPZH","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":"e02fe08bd97de206c624af55f9170a2e301c8f48eee686553ad7a3937af79a7e","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-07-21T20:16:31Z","title_canon_sha256":"add2915a24be548abbb79d4a8f043c2358393da78fe910277d9e5ed34a74425c"},"schema_version":"1.0","source":{"id":"0807.3346","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.3346","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"arxiv_version","alias_value":"0807.3346v2","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.3346","created_at":"2026-05-18T02:38:19Z"},{"alias_kind":"pith_short_12","alias_value":"GSRJEXKBCZHB","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"GSRJEXKBCZHBCSDU","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"GSRJEXKB","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:6fd360e69768c3845469e90f56a33683ea4c1b2530138d8099d486cd793ef654","target":"graph","created_at":"2026-05-18T02:38:19Z","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 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","authors_text":"Spiro Karigiannis","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-07-21T20:16:31Z","title":"Desingularization of G_2 manifolds with isolated conical singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.3346","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:c3562dbc2518ffa436f52b89518cbbfde83d43c400f19592b4ae27d71b99119a","target":"record","created_at":"2026-05-18T02:38:19Z","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":"e02fe08bd97de206c624af55f9170a2e301c8f48eee686553ad7a3937af79a7e","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2008-07-21T20:16:31Z","title_canon_sha256":"add2915a24be548abbb79d4a8f043c2358393da78fe910277d9e5ed34a74425c"},"schema_version":"1.0","source":{"id":"0807.3346","kind":"arxiv","version":2}},"canonical_sha256":"34a2925d41164e11487455065cf60fc9ea6087f5c712ea93432eda0a30070ce6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34a2925d41164e11487455065cf60fc9ea6087f5c712ea93432eda0a30070ce6","first_computed_at":"2026-05-18T02:38:19.073336Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:19.073336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/FAPf3aG9uge9v3NQ8L8tSv8lwVgMF1H02htgmNoyXCqo6I3sJtJV8MkVrjDcbstPgbuauLTQS3QrGkUC34/Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:19.073921Z","signed_message":"canonical_sha256_bytes"},"source_id":"0807.3346","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3562dbc2518ffa436f52b89518cbbfde83d43c400f19592b4ae27d71b99119a","sha256:6fd360e69768c3845469e90f56a33683ea4c1b2530138d8099d486cd793ef654"],"state_sha256":"ae999de7b54b4c22c7582a27be73fc79597b747764b27385308e36221c1c3a4f"}