{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IZZ3VZXL3EF6AGMBNHKCGY7HTA","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":"54d9b396f6daa4514bc9668009aea450a3aebdab778bf8e6cdb3d7e391380a33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-22T07:39:53Z","title_canon_sha256":"9706d2c9fff67014d232e47d36c4490555b74fdace4aa873d2d7e752794d84fa"},"schema_version":"1.0","source":{"id":"1103.4221","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4221","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4221v2","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4221","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"pith_short_12","alias_value":"IZZ3VZXL3EF6","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IZZ3VZXL3EF6AGMB","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IZZ3VZXL","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:91e0aeba1e1a2fc1911d63f89208e3d42b4ae19f230286c3abcf5f5888a60509","target":"graph","created_at":"2026-05-18T03:45:32Z","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":"The Hunter-Saxton equation serves as a mathematical model for orientation waves in a nematic liquid crystal. The present paper discusses a modified variant of this equation, coming up in the study of critical points for the speed of orientation waves, as well as a two-component extension. We establish well-posedness and blow-up results for some initial boundary value problems for the modified Hunter-Saxton equation and the two-component Hunter-Saxton system.","authors_text":"Martin Kohlmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-22T07:39:53Z","title":"On initial boundary value problems for variants of the Hunter-Saxton equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4221","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":"sha256:9d4d53aac1b69e38888bd5b0db52e8fadde37b38aafb9799cc491661347bf783","target":"record","created_at":"2026-05-18T03:45:32Z","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":"54d9b396f6daa4514bc9668009aea450a3aebdab778bf8e6cdb3d7e391380a33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-03-22T07:39:53Z","title_canon_sha256":"9706d2c9fff67014d232e47d36c4490555b74fdace4aa873d2d7e752794d84fa"},"schema_version":"1.0","source":{"id":"1103.4221","kind":"arxiv","version":2}},"canonical_sha256":"4673bae6ebd90be0198169d42363e79821c07d8ae7f6e94d36dbf6afa9aa149d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4673bae6ebd90be0198169d42363e79821c07d8ae7f6e94d36dbf6afa9aa149d","first_computed_at":"2026-05-18T03:45:32.042689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:32.042689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/sk6hXT/OP1ad/SycsDWsHR+vZJrgEbwToRk8LsdNEtvpu0N9HAL2o+QLlENMf+h1Q0g4LB0wqVUEECCBofiAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:32.043153Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.4221","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d4d53aac1b69e38888bd5b0db52e8fadde37b38aafb9799cc491661347bf783","sha256:91e0aeba1e1a2fc1911d63f89208e3d42b4ae19f230286c3abcf5f5888a60509"],"state_sha256":"30f0e998ee52f7aaa16cd7abf492d0a54a7dd7ccaaa89362d190619bb93c890d"}