{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:MPOZQDDSY6C26TP7XGXDDYIMXU","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":"fcfb935a25a1fd0e66515d1082904dcd1329b68ad468136b3e2826f8170fb5c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-01-08T15:06:11Z","title_canon_sha256":"001cd3ad77d7b5137ec7b42924707568a804aa1ab825dd9f62011258de1ef003"},"schema_version":"1.0","source":{"id":"1901.02344","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.02344","created_at":"2026-05-17T23:56:43Z"},{"alias_kind":"arxiv_version","alias_value":"1901.02344v1","created_at":"2026-05-17T23:56:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.02344","created_at":"2026-05-17T23:56:43Z"},{"alias_kind":"pith_short_12","alias_value":"MPOZQDDSY6C2","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"MPOZQDDSY6C26TP7","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"MPOZQDDS","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:f46eab611c790d039806aba2abf0c696eb178f9dfdcaec244be68dc3c23ac4b1","target":"graph","created_at":"2026-05-17T23:56:43Z","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":"An important tool in the study of conformal geometry, and the AdS/CFT correspondence in physics, is the Fefferman-Graham expansion of conformally compact Einstein metrics. We show that conformally compact metrics satisfying a generalization of the Einstein equation, Poincare-Lovelock metrics, also have Fefferman-Graham expansions. Moreover we show that conformal classes of metrics that are near that of the round metric on the n-sphere have fillings into the ball satisfying the Lovelock equation, extending the existence result of Graham-Lee for Einstein metrics.","authors_text":"Pierre Albin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-01-08T15:06:11Z","title":"Poincare-Lovelock metrics on conformally compact manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.02344","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:e148646f8cc3dd26d9834d5ca851751730072c06202366be1bfc26c98ffbe557","target":"record","created_at":"2026-05-17T23:56:43Z","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":"fcfb935a25a1fd0e66515d1082904dcd1329b68ad468136b3e2826f8170fb5c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-01-08T15:06:11Z","title_canon_sha256":"001cd3ad77d7b5137ec7b42924707568a804aa1ab825dd9f62011258de1ef003"},"schema_version":"1.0","source":{"id":"1901.02344","kind":"arxiv","version":1}},"canonical_sha256":"63dd980c72c785af4dffb9ae31e10cbd2c3b35bb416ddba2e31389cdad900fac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63dd980c72c785af4dffb9ae31e10cbd2c3b35bb416ddba2e31389cdad900fac","first_computed_at":"2026-05-17T23:56:43.532450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:43.532450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XMf94vC+LJIU8Gk82e2E4bbF0HPZ+bYM8FOKE7OsELgNAWluuR8B6nXQmn/JLoFQ9hK4CWrgg2XhEYADcepOBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:43.532832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.02344","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e148646f8cc3dd26d9834d5ca851751730072c06202366be1bfc26c98ffbe557","sha256:f46eab611c790d039806aba2abf0c696eb178f9dfdcaec244be68dc3c23ac4b1"],"state_sha256":"34a2c3d366ae4491399e44086db8934c28a456eb72edc6b391ea463cb38d1f04"}