{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TX3K7NLBPG27X253KNYBSBSZN2","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":"3a7691ea84c7317c17b895daecb285040356a681943ea780eb2d6e27b63bce3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-15T01:08:26Z","title_canon_sha256":"4b28c3d1bd58591590d924363f95aae32f465813462349b58dcffa89caf6207f"},"schema_version":"1.0","source":{"id":"1711.05370","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.05370","created_at":"2026-05-18T00:22:46Z"},{"alias_kind":"arxiv_version","alias_value":"1711.05370v1","created_at":"2026-05-18T00:22:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.05370","created_at":"2026-05-18T00:22:46Z"},{"alias_kind":"pith_short_12","alias_value":"TX3K7NLBPG27","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TX3K7NLBPG27X253","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TX3K7NLB","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:049e2d5a057e1954720f3aa38759dd73e219b77ab798b9a8cdf312cffbfeb7df","target":"graph","created_at":"2026-05-18T00:22:46Z","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 the Cauchy problem for 3-D nonlinear elastic waves satisfying the null condition with low regularity initial data. In the radially symmetric case, we prove the global existence of a low regularity solution for every small data in $H^3\\times H^2$ with a low weight.","authors_text":"Dongbing Zha, Kunio Hidano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-15T01:08:26Z","title":"Global low regularity solutions for nonlinear elastic waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.05370","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":"sha256:13252fa41e162addcfbfad8d0c06c5bf2b7f5a335de1f9b68d587c8c0f4a11b1","target":"record","created_at":"2026-05-18T00:22:46Z","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":"3a7691ea84c7317c17b895daecb285040356a681943ea780eb2d6e27b63bce3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-15T01:08:26Z","title_canon_sha256":"4b28c3d1bd58591590d924363f95aae32f465813462349b58dcffa89caf6207f"},"schema_version":"1.0","source":{"id":"1711.05370","kind":"arxiv","version":1}},"canonical_sha256":"9df6afb56179b5fbebbb53701906596eb79a94fe2482aadb8cfb6fb824e2db9c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9df6afb56179b5fbebbb53701906596eb79a94fe2482aadb8cfb6fb824e2db9c","first_computed_at":"2026-05-18T00:22:46.185361Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:46.185361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tMH4ECCGFNRqKalEC3rdDbDfrkkS5x+I5icsx1iEms3DqaUDhq8NxP70OlM/zXmXnaisrOiJDyDXkNNm1HcPCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:46.186017Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.05370","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13252fa41e162addcfbfad8d0c06c5bf2b7f5a335de1f9b68d587c8c0f4a11b1","sha256:049e2d5a057e1954720f3aa38759dd73e219b77ab798b9a8cdf312cffbfeb7df"],"state_sha256":"86527375d49dd1bdc7a15e8fd4c619e274aa3669fd76e86206a2fea46d8f09a3"}