{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:YLAJV54VCQYUU7CYYXIKZUUXA5","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":"5aeede0564817568683ff1bc1ed8c3e61e900fd9ecd7c4ad40e079a2ec2bd22b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-29T06:06:16Z","title_canon_sha256":"ce14b4caca3255607f5947e54d0a67e77f1b29425682fd8dea7b57a6e11769f5"},"schema_version":"1.0","source":{"id":"1010.6130","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.6130","created_at":"2026-05-18T04:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"1010.6130v1","created_at":"2026-05-18T04:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.6130","created_at":"2026-05-18T04:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"YLAJV54VCQYU","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"YLAJV54VCQYUU7CY","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"YLAJV54V","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:4e08a3ebbe0023612cb858b70b517e0ff3e1a5d8275ce730e02ea9096cdb764d","target":"graph","created_at":"2026-05-18T04:38:07Z","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":"In this paper, we will show that the limit of some quasilocal mass integrals of the coordinate spheres in an asymptotically hyperbolic (AH) manifold is the mass integral of the AH manifold. This is the analogue of the well known result that the limit of the Brown-York mass of coordinate spheres is the ADM mass in an asymptotically flat manifold.","authors_text":"Kwok-Kun Kwong, Luen-fai Tam","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-29T06:06:16Z","title":"Limit of quasilocal mass integrals in asymptotically hyperbolic manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.6130","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":"sha256:1be73c3beb5c6d6f756d82b96f5e2a1068445064e3737e16398ba2cec3334db3","target":"record","created_at":"2026-05-18T04:38:07Z","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":"5aeede0564817568683ff1bc1ed8c3e61e900fd9ecd7c4ad40e079a2ec2bd22b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-10-29T06:06:16Z","title_canon_sha256":"ce14b4caca3255607f5947e54d0a67e77f1b29425682fd8dea7b57a6e11769f5"},"schema_version":"1.0","source":{"id":"1010.6130","kind":"arxiv","version":1}},"canonical_sha256":"c2c09af79514314a7c58c5d0acd297076815eb90131271cc09f9e0f9a0499f78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2c09af79514314a7c58c5d0acd297076815eb90131271cc09f9e0f9a0499f78","first_computed_at":"2026-05-18T04:38:07.431917Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:07.431917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BmROHdNLtSCoHmuCoOc1IMSp5a6c88wYhCFsSVO2nLipNk0LKMZofiDXzeXxwPZCU+nmUt6JRGHFdvPBcww2CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:07.432350Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.6130","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1be73c3beb5c6d6f756d82b96f5e2a1068445064e3737e16398ba2cec3334db3","sha256:4e08a3ebbe0023612cb858b70b517e0ff3e1a5d8275ce730e02ea9096cdb764d"],"state_sha256":"ff655f83d3d6dea0671c180d8441156f5c1ece01d6a95589258b867be9153051"}