{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:63RS37RNDXMKR3KDZR4BTIREWX","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":"7b5278c36744da09f2a7381caa5d53b9d1cf48018f9fea87a44cadb7ff2696df","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-07-12T05:32:21Z","title_canon_sha256":"af9f61ce5b6f27acea9a4183036265b31a179a132a06adf8866e30f1fb9e5c59"},"schema_version":"1.0","source":{"id":"2407.08997","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.08997","created_at":"2026-06-24T01:14:55Z"},{"alias_kind":"arxiv_version","alias_value":"2407.08997v4","created_at":"2026-06-24T01:14:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.08997","created_at":"2026-06-24T01:14:55Z"},{"alias_kind":"pith_short_12","alias_value":"63RS37RNDXMK","created_at":"2026-06-24T01:14:55Z"},{"alias_kind":"pith_short_16","alias_value":"63RS37RNDXMKR3KD","created_at":"2026-06-24T01:14:55Z"},{"alias_kind":"pith_short_8","alias_value":"63RS37RN","created_at":"2026-06-24T01:14:55Z"}],"graph_snapshots":[{"event_id":"sha256:3975803b2216a51bf233597318a6dded6f95aa8b14eaf131a5fb9e85eda8d50b","target":"graph","created_at":"2026-06-24T01:14:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.08997/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish precise asymptotic expansions for solutions to semilinear wave equations with power-type nonlinearities on asymptotically flat spacetimes. Our analysis focuses on two key cases: cubic nonlinearities and higher-order power nonlinearities. For cubic nonlinearities of the form $a(t,x) \\, \\phi^3$, we prove asymptotic expansions for the solution globally in the spacetime. In the special case of compact spatial regions, solutions exhibit the asymptotic behavior $\\phi(t, x) = c \\, t^{-2} + \\mathcal{O}(t^{-3+})$. For higher-order nonlinearities $a(t,x) \\, \\phi^p$ with $p \\geq 4$, we prove","authors_text":"Haoren Xiong, Sam Looi","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-07-12T05:32:21Z","title":"Asymptotic expansions for semilinear waves on asymptotically flat spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.08997","kind":"arxiv","version":4},"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:e91400bbf0e1d2b4357e44ecc3ec306e5eaf28e46a38507f4eb6f538937d9484","target":"record","created_at":"2026-06-24T01:14:55Z","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":"7b5278c36744da09f2a7381caa5d53b9d1cf48018f9fea87a44cadb7ff2696df","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2024-07-12T05:32:21Z","title_canon_sha256":"af9f61ce5b6f27acea9a4183036265b31a179a132a06adf8866e30f1fb9e5c59"},"schema_version":"1.0","source":{"id":"2407.08997","kind":"arxiv","version":4}},"canonical_sha256":"f6e32dfe2d1dd8a8ed43cc7819a224b5f8f951fe78f77fdbbba60d557062841c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6e32dfe2d1dd8a8ed43cc7819a224b5f8f951fe78f77fdbbba60d557062841c","first_computed_at":"2026-06-24T01:14:55.627142Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T01:14:55.627142Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nCZj7opR24f3UcRlqGQjYTRFalaqyEU6zblMa+s9pPf7qcqJlE7U2ByWG7d5tydP+fd5ZgbsKmu2RnZ+OjiFDw==","signature_status":"signed_v1","signed_at":"2026-06-24T01:14:55.627636Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.08997","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e91400bbf0e1d2b4357e44ecc3ec306e5eaf28e46a38507f4eb6f538937d9484","sha256:3975803b2216a51bf233597318a6dded6f95aa8b14eaf131a5fb9e85eda8d50b"],"state_sha256":"242e5e182cd3cd6ccd2e7421ba0f851b5ef9c6c9a30c806558d3decaa6977605"}