{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:E56ZJ5IWVHE3T2GECBNGFTYRUI","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":"39171007d24d3fda21fc7b806226641b4611a03605fa3b09a2462034b9fbbf9c","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-16T09:03:43Z","title_canon_sha256":"5e0247f6336803c24625cfeacff93353c96387f3a22a4a1ef4e1de95929ea8eb"},"schema_version":"1.0","source":{"id":"1804.05559","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.05559","created_at":"2026-05-18T00:18:27Z"},{"alias_kind":"arxiv_version","alias_value":"1804.05559v1","created_at":"2026-05-18T00:18:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05559","created_at":"2026-05-18T00:18:27Z"},{"alias_kind":"pith_short_12","alias_value":"E56ZJ5IWVHE3","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"E56ZJ5IWVHE3T2GE","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"E56ZJ5IW","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:75752e49cb31a68873fa56da03091f83eda7cd248df910a82d5c639ff653953a","target":"graph","created_at":"2026-05-18T00:18:27Z","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 build blowing-up solutions for linear perturbation of the Yamabe problem on manifolds with umbilic boundary, provided the Weyl tensor is nonzero everywhere on the boundary and the dimension of the manifold is n>10.","authors_text":"Angela Pistoia, Anna Maria Micheletti, Marco Ghimenti","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-16T09:03:43Z","title":"Blow-up phenomena for linearly perturbed Yamabe problem on manifolds with umbilic boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05559","kind":"arxiv","version":1},"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":"sha256:00b2dea46eb551e7ebe3f48bf8e128f3139af53fa43d81c711e385081d2bd598","target":"record","created_at":"2026-05-18T00:18:27Z","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":"39171007d24d3fda21fc7b806226641b4611a03605fa3b09a2462034b9fbbf9c","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-16T09:03:43Z","title_canon_sha256":"5e0247f6336803c24625cfeacff93353c96387f3a22a4a1ef4e1de95929ea8eb"},"schema_version":"1.0","source":{"id":"1804.05559","kind":"arxiv","version":1}},"canonical_sha256":"277d94f516a9c9b9e8c4105a62cf11a209194b0ea21c5ade78de7ec14aaf3936","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"277d94f516a9c9b9e8c4105a62cf11a209194b0ea21c5ade78de7ec14aaf3936","first_computed_at":"2026-05-18T00:18:27.832719Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:27.832719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8YxarQPlUp6r7S+WK09Z62MyhWPOqjelR0rLdExPCaaMcyTxjfII8Ph4P8OF9E9FHChjxuDCeAU2bNoVILUaAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:27.833059Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.05559","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00b2dea46eb551e7ebe3f48bf8e128f3139af53fa43d81c711e385081d2bd598","sha256:75752e49cb31a68873fa56da03091f83eda7cd248df910a82d5c639ff653953a"],"state_sha256":"2e022c550ee9f42652cf42f7236a787b541e19e804f8557924a2392f85b1c25e"}