{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IKYTNRLA3DE7OOGYBV2M2SJG5M","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":"65375d7bf8c2332b337a24a9a4e31535f31b5b2ae35e0af8a5b7ec16e7fac28b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-23T19:21:05Z","title_canon_sha256":"e1689158278d89dc3031a37adf70fdb47f8516771cf4bfb6d427eb52870feae4"},"schema_version":"1.0","source":{"id":"1301.5609","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5609","created_at":"2026-05-18T03:35:27Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5609v2","created_at":"2026-05-18T03:35:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5609","created_at":"2026-05-18T03:35:27Z"},{"alias_kind":"pith_short_12","alias_value":"IKYTNRLA3DE7","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IKYTNRLA3DE7OOGY","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IKYTNRLA","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:212e95aff61713db4cf6df671198cbe1bb5d3cceaa4e81ee7027fe56d3fd45b5","target":"graph","created_at":"2026-05-18T03:35:27Z","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 study dynamics of interfaces in solutions of the equation $\\epsilon \\Box u + \\frac 1 \\epsilon f_\\epsilon(u)=0$, for $f_\\epsilon$ of the form $f_\\epsilon(u) = (u^2-1)(2u- \\epsilon\\kappa)$, for $\\kappa\\in {\\mathbb R}$, as well as more general, but qualitatively similar, nonlinearities. We consider equations of this form both in $(1+n)$-dimensional Minkowski space, $n\\ge 1$, and on certain more general Lorentzian manifolds, and we prove that for suitable initial data, solutions exhibit interfaces that sweep out timelike hypersurfaces of mean curvature proportional to $\\kappa$. In particular, i","authors_text":"Bernardo Galv\\~ao-Sousa, Robert L. Jerrard","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-23T19:21:05Z","title":"Accelerating fronts in semilinear wave equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5609","kind":"arxiv","version":2},"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:a75e0cf31222a1c69f3c2155458abecee67c085e08ac6a543f9003d8ffac7450","target":"record","created_at":"2026-05-18T03:35:27Z","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":"65375d7bf8c2332b337a24a9a4e31535f31b5b2ae35e0af8a5b7ec16e7fac28b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-01-23T19:21:05Z","title_canon_sha256":"e1689158278d89dc3031a37adf70fdb47f8516771cf4bfb6d427eb52870feae4"},"schema_version":"1.0","source":{"id":"1301.5609","kind":"arxiv","version":2}},"canonical_sha256":"42b136c560d8c9f738d80d74cd4926eb2e18f42ddad17460214896e50b900272","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42b136c560d8c9f738d80d74cd4926eb2e18f42ddad17460214896e50b900272","first_computed_at":"2026-05-18T03:35:27.622249Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:27.622249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J6g4qNv7PrN5rZ0QAVsN1+kRwHgWz0UZAjndPTROIJgehiZnOjJWHOkqsMIB2sODCa0OnruFVBbdYOPHg3WJBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:27.622755Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.5609","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a75e0cf31222a1c69f3c2155458abecee67c085e08ac6a543f9003d8ffac7450","sha256:212e95aff61713db4cf6df671198cbe1bb5d3cceaa4e81ee7027fe56d3fd45b5"],"state_sha256":"934c520785930a02a546ed88bf7e1a26a607ed7e687df21609776df48e64e4c0"}