{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:PQAFRINI42RNM4LFP46TP3EXVS","short_pith_number":"pith:PQAFRINI","schema_version":"1.0","canonical_sha256":"7c0058a1a8e6a2d671657f3d37ec97acad7a4ba950a57505bdbbee2b2818dfb8","source":{"kind":"arxiv","id":"2006.00824","version":1},"attestation_state":"computed","paper":{"title":"Global stability of spacetimes with supersymmetric compactifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"math.AP","authors_text":"Lars Andersson, Pieter Blue, Shing-Tung Yau, Zoe Wyatt","submitted_at":"2020-06-01T10:04:30Z","abstract_excerpt":"This paper proves the stability, with respect to the evolution determined by the vacuum Einstein equations, of the Cartesian product of high-dimensional Minkowski space with a compact, Ricci-flat Riemannian manifold that admits a spin structure and a nonzero parallel spinor. Such a product includes the example of Calabi-Yau and other special holonomy compactifications, which play a central role in supergravity and string theory. The stability proved in this paper provides a counter example to an instability argument by Penrose."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2006.00824","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-06-01T10:04:30Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"d5d5d75a0b5f544c59325ae70e40ae0bc531277abbb024437e5a9be4561d711b","abstract_canon_sha256":"d089e17c0072f36c2f307124b6f598fc93ec294d23afa38feb558c9a65d2d21f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:14:48.422041Z","signature_b64":"VaR2Bi19SAjO+OtnFUU2N+AIHAzRxdy3ywxsIRyHWaWxzNVQOtEffXUfGySM9Ar7ADgUK6K3g0FLK8CTZzxnCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c0058a1a8e6a2d671657f3d37ec97acad7a4ba950a57505bdbbee2b2818dfb8","last_reissued_at":"2026-07-05T07:14:48.421603Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:14:48.421603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global stability of spacetimes with supersymmetric compactifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"math.AP","authors_text":"Lars Andersson, Pieter Blue, Shing-Tung Yau, Zoe Wyatt","submitted_at":"2020-06-01T10:04:30Z","abstract_excerpt":"This paper proves the stability, with respect to the evolution determined by the vacuum Einstein equations, of the Cartesian product of high-dimensional Minkowski space with a compact, Ricci-flat Riemannian manifold that admits a spin structure and a nonzero parallel spinor. Such a product includes the example of Calabi-Yau and other special holonomy compactifications, which play a central role in supergravity and string theory. The stability proved in this paper provides a counter example to an instability argument by Penrose."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.00824","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2006.00824/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2006.00824","created_at":"2026-07-05T07:14:48.421665+00:00"},{"alias_kind":"arxiv_version","alias_value":"2006.00824v1","created_at":"2026-07-05T07:14:48.421665+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.00824","created_at":"2026-07-05T07:14:48.421665+00:00"},{"alias_kind":"pith_short_12","alias_value":"PQAFRINI42RN","created_at":"2026-07-05T07:14:48.421665+00:00"},{"alias_kind":"pith_short_16","alias_value":"PQAFRINI42RNM4LF","created_at":"2026-07-05T07:14:48.421665+00:00"},{"alias_kind":"pith_short_8","alias_value":"PQAFRINI","created_at":"2026-07-05T07:14:48.421665+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.00071","citing_title":"Overview of the proof of the exterior stability of the $(1+3)$-Minkowski space-time governed by the Einstein-Yang-Mills system in the Lorenz gauge","ref_index":8,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PQAFRINI42RNM4LFP46TP3EXVS","json":"https://pith.science/pith/PQAFRINI42RNM4LFP46TP3EXVS.json","graph_json":"https://pith.science/api/pith-number/PQAFRINI42RNM4LFP46TP3EXVS/graph.json","events_json":"https://pith.science/api/pith-number/PQAFRINI42RNM4LFP46TP3EXVS/events.json","paper":"https://pith.science/paper/PQAFRINI"},"agent_actions":{"view_html":"https://pith.science/pith/PQAFRINI42RNM4LFP46TP3EXVS","download_json":"https://pith.science/pith/PQAFRINI42RNM4LFP46TP3EXVS.json","view_paper":"https://pith.science/paper/PQAFRINI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2006.00824&json=true","fetch_graph":"https://pith.science/api/pith-number/PQAFRINI42RNM4LFP46TP3EXVS/graph.json","fetch_events":"https://pith.science/api/pith-number/PQAFRINI42RNM4LFP46TP3EXVS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PQAFRINI42RNM4LFP46TP3EXVS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PQAFRINI42RNM4LFP46TP3EXVS/action/storage_attestation","attest_author":"https://pith.science/pith/PQAFRINI42RNM4LFP46TP3EXVS/action/author_attestation","sign_citation":"https://pith.science/pith/PQAFRINI42RNM4LFP46TP3EXVS/action/citation_signature","submit_replication":"https://pith.science/pith/PQAFRINI42RNM4LFP46TP3EXVS/action/replication_record"}},"created_at":"2026-07-05T07:14:48.421665+00:00","updated_at":"2026-07-05T07:14:48.421665+00:00"}