{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QOB23Q2KAQVQ6KTIAVMMNQ2UIJ","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":"0191cc67c1440ebeeeb62837d8f860dce29324d0c5072c038a02257b40534443","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-03-05T19:49:12Z","title_canon_sha256":"f0208eed3269cb34bb158bfd77297e2796ddd0abb96acdb5b6097d42e2de0879"},"schema_version":"1.0","source":{"id":"1803.01899","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.01899","created_at":"2026-05-17T23:40:14Z"},{"alias_kind":"arxiv_version","alias_value":"1803.01899v2","created_at":"2026-05-17T23:40:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01899","created_at":"2026-05-17T23:40:14Z"},{"alias_kind":"pith_short_12","alias_value":"QOB23Q2KAQVQ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QOB23Q2KAQVQ6KTI","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QOB23Q2K","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:6ad1f2678f32c4f33d84f879531a290eac59c2381e3100c499092afb64ce7760","target":"graph","created_at":"2026-05-17T23:40:14Z","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":"The positive mass theorem states that the total mass of a complete asymptotically flat manifold with non-negative scalar curvature is non-negative; moreover, the total mass equals zero if and only if the manifold is isometric to the Euclidean space. Huang and Lee [2015] proved the stability of the Positive Mass Theorem for a class of $n$-dimensional ($n \\geq 3$) asymptotically flat graphs with non-negative scalar curvature, in the sense of currents. Motivated by their work and using results of Dahl, Gicquaud and Sakovich [2013], we adapt their ideas to obtain a similar result regarding the sta","authors_text":"Armando J. Cabrera Pacheco","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-03-05T19:49:12Z","title":"On the stability of the positive mass theorem for asymptotically hyperbolic graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01899","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:e65ad4a7c377708ff007539296ec132c532604baecadefe89f1cb137d51ed8a3","target":"record","created_at":"2026-05-17T23:40:14Z","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":"0191cc67c1440ebeeeb62837d8f860dce29324d0c5072c038a02257b40534443","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-03-05T19:49:12Z","title_canon_sha256":"f0208eed3269cb34bb158bfd77297e2796ddd0abb96acdb5b6097d42e2de0879"},"schema_version":"1.0","source":{"id":"1803.01899","kind":"arxiv","version":2}},"canonical_sha256":"8383adc34a042b0f2a680558c6c354425e61ecd3e70a2540101ac0d705417fad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8383adc34a042b0f2a680558c6c354425e61ecd3e70a2540101ac0d705417fad","first_computed_at":"2026-05-17T23:40:14.269970Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:14.269970Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lVA7dRVy+pZ9/TJHh3zMy9gCNW+mVtYC1U3RuKkjltfxu3p05zhqn2WhgwetCUtsOBOlZJO9a7NGBtlA0hynAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:14.270746Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.01899","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e65ad4a7c377708ff007539296ec132c532604baecadefe89f1cb137d51ed8a3","sha256:6ad1f2678f32c4f33d84f879531a290eac59c2381e3100c499092afb64ce7760"],"state_sha256":"4259d44307acb465eba20b1528cf8e6ec029bc104faafcaf98dc0c48a98ed3aa"}