{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SUMDRGLOTWNZVSC4VTC34LTDHC","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":"7db3e5049413d78cb3262af3908fc20adf099a40db56f1ed8a816ed98cb5c58b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-07T23:42:55Z","title_canon_sha256":"bb9e87aa13abd7ee6329712b2f534b08430fef86f42d74b6bcca722a3e2b0361"},"schema_version":"1.0","source":{"id":"1410.1945","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.1945","created_at":"2026-05-18T02:30:31Z"},{"alias_kind":"arxiv_version","alias_value":"1410.1945v1","created_at":"2026-05-18T02:30:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1945","created_at":"2026-05-18T02:30:31Z"},{"alias_kind":"pith_short_12","alias_value":"SUMDRGLOTWNZ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SUMDRGLOTWNZVSC4","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SUMDRGLO","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:f36c2b938c40f8410f6d72c4cce0e5a01a9ff4c236a659542e7648138ae7dc58","target":"graph","created_at":"2026-05-18T02:30:31Z","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":"This article is devoted to review the known results on global well-posedness for the Cauchy problem to the Kirchhoff equation and Kirchhoff systems with small data. Similar results will be obtained for the initial-boundary value problems in exterior domains with compact boundary. Also, the known results on large data problems will be reviewed together with open problems.","authors_text":"Michael Ruzhansky, Tokio Matsuyama","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-07T23:42:55Z","title":"Global well-posedness of the Kirchhoff equation and Kirchhoff systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1945","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":"sha256:87477d2c9095d1296b6857e263bea71b1bfbd4f7e68eca42b2a51f682ec7ecc5","target":"record","created_at":"2026-05-18T02:30:31Z","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":"7db3e5049413d78cb3262af3908fc20adf099a40db56f1ed8a816ed98cb5c58b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-10-07T23:42:55Z","title_canon_sha256":"bb9e87aa13abd7ee6329712b2f534b08430fef86f42d74b6bcca722a3e2b0361"},"schema_version":"1.0","source":{"id":"1410.1945","kind":"arxiv","version":1}},"canonical_sha256":"951838996e9d9b9ac85cacc5be2e633890c6eafd7cef9a740fa1924afc8e3404","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"951838996e9d9b9ac85cacc5be2e633890c6eafd7cef9a740fa1924afc8e3404","first_computed_at":"2026-05-18T02:30:31.505877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:31.505877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yzc9G0YRQqD/oIF/U9jS00BPMLA3eiHdwbkVe3Xgl51kf6ErlLr4yYe63G0JjJVaV7HXGlUi3DXbkQstgPGhDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:31.506432Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.1945","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87477d2c9095d1296b6857e263bea71b1bfbd4f7e68eca42b2a51f682ec7ecc5","sha256:f36c2b938c40f8410f6d72c4cce0e5a01a9ff4c236a659542e7648138ae7dc58"],"state_sha256":"68d4a72b9e26beec16a14a9380cc52d900bb38163f3bfba8db96ef33b51c31be"}