{"paper":{"title":"The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The spacetime positive mass theorem holds in all dimensions for asymptotically flat and hyperboloidal initial data sets.","cross_cats":["gr-qc","math.AP"],"primary_cat":"math.DG","authors_text":"Marcus Khuri, Martin Lesourd, Sven Hirsch, Yiyue Zhang","submitted_at":"2026-04-27T17:48:01Z","abstract_excerpt":"Using the recent work of Brendle--Wang on the Riemannian positive mass theorem, we prove the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloidal initial data sets in arbitrary dimensions."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Using the recent work of Brendle--Wang on the Riemannian positive mass theorem, we prove the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloidal initial data sets in arbitrary dimension n.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The argument assumes the validity of Brendle-Wang's Riemannian positive mass theorem together with the standard definitions of asymptotic flatness and asymptotic hyperboloidality for the initial data sets.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The spacetime positive mass theorem holds for asymptotically flat and hyperboloidal initial data in all dimensions.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The spacetime positive mass theorem holds in all dimensions for asymptotically flat and hyperboloidal initial data sets.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"0b92a49b6d1a1a941bba05060d33192ee4ac0d07df74b1892fb44886ce05114b"},"source":{"id":"2604.24746","kind":"arxiv","version":2},"verdict":{"id":"7b59535e-1500-49b0-994c-e2212c531e7f","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T01:16:11.845894Z","strongest_claim":"Using the recent work of Brendle--Wang on the Riemannian positive mass theorem, we prove the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloidal initial data sets in arbitrary dimension n.","one_line_summary":"The spacetime positive mass theorem holds for asymptotically flat and hyperboloidal initial data in all dimensions.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The argument assumes the validity of Brendle-Wang's Riemannian positive mass theorem together with the standard definitions of asymptotic flatness and asymptotic hyperboloidality for the initial data sets.","pith_extraction_headline":"The spacetime positive mass theorem holds in all dimensions for asymptotically flat and hyperboloidal initial data sets."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.24746/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_compliance","ran_at":"2026-05-19T21:44:56.043723Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"6bfcf42391bc2abcc1a6f5cfbbaae3c3ee98a0b942efb7cb49e711843b3aa823"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}