{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GGRXC32XGMBQ26JDXQOYTWZCA5","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":"4da2335d7f3278c99243261de8615d04dc83e8230d5194d46a3486a7ccf93a5a","cross_cats_sorted":["gr-qc","math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-31T19:40:51Z","title_canon_sha256":"41dd48dfb7dda0814c1db0208e6c6806f4c73f7dc6aaf699158fa99bd33e5164"},"schema_version":"1.0","source":{"id":"1901.00028","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.00028","created_at":"2026-05-17T23:57:07Z"},{"alias_kind":"arxiv_version","alias_value":"1901.00028v1","created_at":"2026-05-17T23:57:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.00028","created_at":"2026-05-17T23:57:07Z"},{"alias_kind":"pith_short_12","alias_value":"GGRXC32XGMBQ","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GGRXC32XGMBQ26JD","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GGRXC32X","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:effbd936ec32feb3d600520f3e649a4bd3d0fc9c74b69ba40549da3a8ea04097","target":"graph","created_at":"2026-05-17T23:57:07Z","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 propose a new foliation of asymptotically Euclidean initial data sets by 2-spheres of constant spacetime mean curvature (STCMC). The leaves of the foliation have the STCMC-property regardless of the initial data set in which the foliation is constructed which asserts that there is a plethora of STCMC 2-spheres in a neighborhood of spatial infinity of any asymptotically flat spacetime. The STCMC-foliation can be understood as a covariant relativistic generalization of the CMC-foliation suggested by Huisken and Yau.\n  We show that a unique STCMC-foliation exists near infinity of any asymptoti","authors_text":"Anna Sakovich, Carla Cederbaum","cross_cats":["gr-qc","math-ph","math.DG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-31T19:40:51Z","title":"On center of mass and foliations by constant spacetime mean curvature surfaces for isolated systems in General Relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.00028","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:df0cc766d4969ab513e15de251233d9e5ee500a9bfdfea5e8116f93ef0369d0d","target":"record","created_at":"2026-05-17T23:57:07Z","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":"4da2335d7f3278c99243261de8615d04dc83e8230d5194d46a3486a7ccf93a5a","cross_cats_sorted":["gr-qc","math-ph","math.DG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-31T19:40:51Z","title_canon_sha256":"41dd48dfb7dda0814c1db0208e6c6806f4c73f7dc6aaf699158fa99bd33e5164"},"schema_version":"1.0","source":{"id":"1901.00028","kind":"arxiv","version":1}},"canonical_sha256":"31a3716f5733030d7923bc1d89db220772ae2a6ea91accfca708937d99a7ad61","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31a3716f5733030d7923bc1d89db220772ae2a6ea91accfca708937d99a7ad61","first_computed_at":"2026-05-17T23:57:07.074946Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:07.074946Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w2lV/FfZmnkKrVJhy3DpE3h8z5kWuw6JswaAM/lrucRdFdt35XQ2/br3p5Rg4EEFsauhouEo0zqVgjCPQTYDDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:07.075338Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.00028","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df0cc766d4969ab513e15de251233d9e5ee500a9bfdfea5e8116f93ef0369d0d","sha256:effbd936ec32feb3d600520f3e649a4bd3d0fc9c74b69ba40549da3a8ea04097"],"state_sha256":"8710a51aabd45a37edd748777cd86bdb727acb214804eb513a972252d2338ebf"}