{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AIVC2BBE6PUJEMLINFFI5TBJOD","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":"0d1fa7a3f41988753fd0d0e83455cb17f9a75c06b2398892d08d6485c054892a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-08T00:48:01Z","title_canon_sha256":"d956b49118aeb0c4bb224526b7ba919abd960e5291d582a377e980bdd9070fd6"},"schema_version":"1.0","source":{"id":"1512.02297","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.02297","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"arxiv_version","alias_value":"1512.02297v1","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02297","created_at":"2026-05-18T00:54:09Z"},{"alias_kind":"pith_short_12","alias_value":"AIVC2BBE6PUJ","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AIVC2BBE6PUJEMLI","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AIVC2BBE","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:36226c87e0571738d02fc1bac0f7bc7d5c7718cca7331993f7ca7d78563a9484","target":"graph","created_at":"2026-05-18T00:54:09Z","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":"We consider the strategy of realizing the solution of a Cauchy problem with radial data as a limit of radial solutions to initial-boundary value problems posed on the exterior of vanishing balls centered at the origin. The goal is to gauge the effectiveness of this approach in a simple, concrete setting: the 3-dimensional, linear wave equation $\\square_{1+3}U=0$ with radial Cauchy data $U(0,x)=\\Phi(x)=\\phi(|x|)$, $U_t(0,x)=\\Psi(x)=\\psi(|x|)$.\n  We are primarily interested in this as a model situation for other, possibly nonlinear, equations where neither formulae nor abstract existence results","authors_text":"Charis Tsikkou, Helge Kristian Jenssen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-08T00:48:01Z","title":"Radial solutions to the Cauchy problem for $\\square_{1+3}U=0$ as limits of exterior solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02297","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:c36e8d807c6f37c557ba260d7f764b5eb9da2173e6f50565b47832f75f5e9ecb","target":"record","created_at":"2026-05-18T00:54:09Z","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":"0d1fa7a3f41988753fd0d0e83455cb17f9a75c06b2398892d08d6485c054892a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-08T00:48:01Z","title_canon_sha256":"d956b49118aeb0c4bb224526b7ba919abd960e5291d582a377e980bdd9070fd6"},"schema_version":"1.0","source":{"id":"1512.02297","kind":"arxiv","version":1}},"canonical_sha256":"022a2d0424f3e8923168694a8ecc2970e629556b6f26c159fb31d6eb4202bab3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"022a2d0424f3e8923168694a8ecc2970e629556b6f26c159fb31d6eb4202bab3","first_computed_at":"2026-05-18T00:54:09.034581Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:09.034581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SC35dI3tav+dyCWgIfR03vcLIsUiDpWSaY5nfdn8CZ7dHbC9gorhCo8IKlY6w/Dy3vDoZCa9yFgzuT/YVfoDDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:09.034975Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.02297","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c36e8d807c6f37c557ba260d7f764b5eb9da2173e6f50565b47832f75f5e9ecb","sha256:36226c87e0571738d02fc1bac0f7bc7d5c7718cca7331993f7ca7d78563a9484"],"state_sha256":"59d11d204f6e39a4a237622ef54614527b7c91d58d327977a86a23a2a6536ad3"}