{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:QBHOS6QMC647LBNMWLOYN5H34D","short_pith_number":"pith:QBHOS6QM","schema_version":"1.0","canonical_sha256":"804ee97a0c17b9f585acb2dd86f4fbe0cb29387f2e6cb9398eadd57ac0d20dd6","source":{"kind":"arxiv","id":"2605.26506","version":1},"attestation_state":"computed","paper":{"title":"The Stability of Minkowski Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.DG"],"primary_cat":"gr-qc","authors_text":"Dawei Shen","submitted_at":"2026-05-26T03:44:46Z","abstract_excerpt":"The nonlinear stability of Minkowski spacetime has been one of the central achievements in the mathematical theory of general relativity and, more broadly, in the analysis of nonlinear geometric wave equations. Since the seminal work of Christodoulou-Klainerman, the problem has shaped fundamental advances in our understanding of decay, dispersion, and the intricate interplay between geometry and analysis in the Einstein vacuum equations.\n  This survey presents an overview of the main ideas and techniques underlying the stability theory of Minkowski spacetime. We emphasize the role of decay ass"},"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":"2605.26506","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-26T03:44:46Z","cross_cats_sorted":["math.AP","math.DG"],"title_canon_sha256":"4b9709e0933811f308f17500e9b1ba072c2da60d6415a27c14fe1835cc635052","abstract_canon_sha256":"25b6c170ef909023ce4337bbdf6ccc4913e82f0721dcf79d5dcf8ae792c0d244"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:05:23.485954Z","signature_b64":"Z0uHdXFc3mybhIAlHicV+pZZX3434r+JhKmmyURh6edOsjla0h11xi2KhWYGrI0eJlWYuSQNh1/hm0OMMMhZCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"804ee97a0c17b9f585acb2dd86f4fbe0cb29387f2e6cb9398eadd57ac0d20dd6","last_reissued_at":"2026-05-27T01:05:23.485196Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:05:23.485196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Stability of Minkowski Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.DG"],"primary_cat":"gr-qc","authors_text":"Dawei Shen","submitted_at":"2026-05-26T03:44:46Z","abstract_excerpt":"The nonlinear stability of Minkowski spacetime has been one of the central achievements in the mathematical theory of general relativity and, more broadly, in the analysis of nonlinear geometric wave equations. Since the seminal work of Christodoulou-Klainerman, the problem has shaped fundamental advances in our understanding of decay, dispersion, and the intricate interplay between geometry and analysis in the Einstein vacuum equations.\n  This survey presents an overview of the main ideas and techniques underlying the stability theory of Minkowski spacetime. We emphasize the role of decay ass"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.26506","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/2605.26506/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":"2605.26506","created_at":"2026-05-27T01:05:23.485335+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.26506v1","created_at":"2026-05-27T01:05:23.485335+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.26506","created_at":"2026-05-27T01:05:23.485335+00:00"},{"alias_kind":"pith_short_12","alias_value":"QBHOS6QMC647","created_at":"2026-05-27T01:05:23.485335+00:00"},{"alias_kind":"pith_short_16","alias_value":"QBHOS6QMC647LBNM","created_at":"2026-05-27T01:05:23.485335+00:00"},{"alias_kind":"pith_short_8","alias_value":"QBHOS6QM","created_at":"2026-05-27T01:05:23.485335+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QBHOS6QMC647LBNMWLOYN5H34D","json":"https://pith.science/pith/QBHOS6QMC647LBNMWLOYN5H34D.json","graph_json":"https://pith.science/api/pith-number/QBHOS6QMC647LBNMWLOYN5H34D/graph.json","events_json":"https://pith.science/api/pith-number/QBHOS6QMC647LBNMWLOYN5H34D/events.json","paper":"https://pith.science/paper/QBHOS6QM"},"agent_actions":{"view_html":"https://pith.science/pith/QBHOS6QMC647LBNMWLOYN5H34D","download_json":"https://pith.science/pith/QBHOS6QMC647LBNMWLOYN5H34D.json","view_paper":"https://pith.science/paper/QBHOS6QM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.26506&json=true","fetch_graph":"https://pith.science/api/pith-number/QBHOS6QMC647LBNMWLOYN5H34D/graph.json","fetch_events":"https://pith.science/api/pith-number/QBHOS6QMC647LBNMWLOYN5H34D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QBHOS6QMC647LBNMWLOYN5H34D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QBHOS6QMC647LBNMWLOYN5H34D/action/storage_attestation","attest_author":"https://pith.science/pith/QBHOS6QMC647LBNMWLOYN5H34D/action/author_attestation","sign_citation":"https://pith.science/pith/QBHOS6QMC647LBNMWLOYN5H34D/action/citation_signature","submit_replication":"https://pith.science/pith/QBHOS6QMC647LBNMWLOYN5H34D/action/replication_record"}},"created_at":"2026-05-27T01:05:23.485335+00:00","updated_at":"2026-05-27T01:05:23.485335+00:00"}