{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ORK4ZCFXZTXGTLA5MY5MVYZX4S","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":"92ef62d49bcc82e34722e6348104d2a97565a1395c72ddf75b124e37c69704ba","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-05-07T18:12:05Z","title_canon_sha256":"f2a6bb2ba5f0b5e52b483bc2088ed8f9733bf95571efc1803db6a9c07e0b03d9"},"schema_version":"1.0","source":{"id":"1505.01800","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.01800","created_at":"2026-05-18T01:20:03Z"},{"alias_kind":"arxiv_version","alias_value":"1505.01800v3","created_at":"2026-05-18T01:20:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.01800","created_at":"2026-05-18T01:20:03Z"},{"alias_kind":"pith_short_12","alias_value":"ORK4ZCFXZTXG","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"ORK4ZCFXZTXGTLA5","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"ORK4ZCFX","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:aa7b399fc8369dc443d03f44c06d26b08f9bc9682b221bd079dbd0df6570be8e","target":"graph","created_at":"2026-05-18T01:20:03Z","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 obtain higher dimensional analogues of the results of Mantoulidis and Schoen in [8]. More precisely, we show that (i) any metric $g$ with positive scalar curvature on the $3$-sphere $S^3$ can be realized as the induced metric on the outermost apparent horizon of a $4$-dimensional asymptotically flat manifold with non-negative scalar curvature, whose ADM mass can be arranged to be arbitrarily close to the optimal value specified by the Riemannian Penrose inequality; (ii) any metric $g$ with positive scalar curvature on the $n$-sphere $S^n$, with $ n \\ge 4 $, such that $(S^n, g)$ isometricall","authors_text":"Armando J. Cabrera Pacheco, Pengzi Miao","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-05-07T18:12:05Z","title":"Higher dimensional black hole initial data with prescribed boundary metric"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.01800","kind":"arxiv","version":3},"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":"sha256:909fa0572acabc5ce93d927766d1be62c166067a6726b5f36e7702023b9252b4","target":"record","created_at":"2026-05-18T01:20:03Z","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":"92ef62d49bcc82e34722e6348104d2a97565a1395c72ddf75b124e37c69704ba","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-05-07T18:12:05Z","title_canon_sha256":"f2a6bb2ba5f0b5e52b483bc2088ed8f9733bf95571efc1803db6a9c07e0b03d9"},"schema_version":"1.0","source":{"id":"1505.01800","kind":"arxiv","version":3}},"canonical_sha256":"7455cc88b7ccee69ac1d663acae337e4ba36b8f763c0a1c402ee8a5972f5451d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7455cc88b7ccee69ac1d663acae337e4ba36b8f763c0a1c402ee8a5972f5451d","first_computed_at":"2026-05-18T01:20:03.657603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:03.657603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ftD8hip6g5lzIQSNKNx6fbdH0vmfWC3zu8hOvX+pOWyDALxjyhoqeUXJwwZVJcA4/xh9Y5lzzGCxFDY0iDKPCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:03.658257Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.01800","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:909fa0572acabc5ce93d927766d1be62c166067a6726b5f36e7702023b9252b4","sha256:aa7b399fc8369dc443d03f44c06d26b08f9bc9682b221bd079dbd0df6570be8e"],"state_sha256":"d9d84bc94d301b66653bc67c4ef089f26b88b5509b4ea5555dd5cdc706d9e9dc"}