{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:5EWUA3T6PICRSPE4RVXZPWKX7Q","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":"33bac1bb37f0b5c1488086e862ad2015e8d289125034e5b71ab1316d7e880577","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-02-06T17:19:49Z","title_canon_sha256":"a7653c31b565c0fd51eff7f883a12f295fc5a9f34d41328690b16df48b826674"},"schema_version":"1.0","source":{"id":"1902.02284","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.02284","created_at":"2026-05-17T23:44:21Z"},{"alias_kind":"arxiv_version","alias_value":"1902.02284v2","created_at":"2026-05-17T23:44:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.02284","created_at":"2026-05-17T23:44:21Z"},{"alias_kind":"pith_short_12","alias_value":"5EWUA3T6PICR","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"5EWUA3T6PICRSPE4","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"5EWUA3T6","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:a06f2508fa535f1531477f09105f171bf617838a325eb624973132b680821e8e","target":"graph","created_at":"2026-05-17T23:44:21Z","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":"It is conjectured that the full (spacetime) Bartnik mass of a surface $\\Sigma$ is realised as the ADM mass of some stationary asymptotically flat manifold with boundary data prescribed by $\\Sigma$. Assuming this holds true for a 1-parameter family of surfaces $\\Sigma_t$ evolving in an initial data set {with the dominant energy condition}, we compute an expression for the derivative of the Bartnik mass along these surfaces. An immediate consequence of this formula is that the Bartnik mass of $\\Sigma_t$ is monotone non-decreasing whenever $\\Sigma_t$ flows outward.\n  It is our pleasure to dedicat","authors_text":"Pengzi Miao, Stephen McCormick","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-02-06T17:19:49Z","title":"On the evolution of the spacetime Bartnik mass"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02284","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":"sha256:62b31d0c4aa4d8d85390b7d1afe0795304525775ba4d50c5ad7c2114c8b9cf30","target":"record","created_at":"2026-05-17T23:44:21Z","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":"33bac1bb37f0b5c1488086e862ad2015e8d289125034e5b71ab1316d7e880577","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-02-06T17:19:49Z","title_canon_sha256":"a7653c31b565c0fd51eff7f883a12f295fc5a9f34d41328690b16df48b826674"},"schema_version":"1.0","source":{"id":"1902.02284","kind":"arxiv","version":2}},"canonical_sha256":"e92d406e7e7a05193c9c8d6f97d957fc02cbdb5280e60c261aab708efc38b5b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e92d406e7e7a05193c9c8d6f97d957fc02cbdb5280e60c261aab708efc38b5b4","first_computed_at":"2026-05-17T23:44:21.687148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:21.687148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pIGP/FzgzDebAgiWuyd6PNmfEV6zItylbgJ2q+7aZdMEBm6kX+Zpc4bXLrW8qb9zg8ScpADWpQxmN1SLpIDMCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:21.687819Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.02284","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62b31d0c4aa4d8d85390b7d1afe0795304525775ba4d50c5ad7c2114c8b9cf30","sha256:a06f2508fa535f1531477f09105f171bf617838a325eb624973132b680821e8e"],"state_sha256":"bd3310d035421258cc33ab30d04317b444ee450c6c0d723446841aaa22bbd405"}