{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VMNNB6HY7PZQ3JXIQUW6OUOJG4","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":"9cf0312e3c9081763bc29a7236fad67f40d6d9319ea098cf1739034099916438","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-13T12:24:31Z","title_canon_sha256":"0e00d8a5756bd26fe917209a02adef9d3dd031853ae461dd04f7f0954269b52e"},"schema_version":"1.0","source":{"id":"1808.04168","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.04168","created_at":"2026-05-17T23:40:55Z"},{"alias_kind":"arxiv_version","alias_value":"1808.04168v3","created_at":"2026-05-17T23:40:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.04168","created_at":"2026-05-17T23:40:55Z"},{"alias_kind":"pith_short_12","alias_value":"VMNNB6HY7PZQ","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VMNNB6HY7PZQ3JXI","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VMNNB6HY","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:182eec5e8d4d7b4f72cdbc84df72c55b0a31efd26acedff830bdcd3bf6157a86","target":"graph","created_at":"2026-05-17T23:40:55Z","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 one-dimensional Calder\\'on's problem for the variable exponent $p(\\cdot)$-Laplace equation and find out that more can be seen than in the constant exponent case. The problem is to recover an unknown weight (conductivity) in the weighted $p(\\cdot)$-Laplace equation from Dirichlet and Neumann data of solutions. We give a constructive and local uniqueness proof for conductivities in $L^\\infty$ restricted to the coarsest sigma-algebra that makes the exponent $p(\\cdot)$ measurable.","authors_text":"David Winterrose, Tommi Brander","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-13T12:24:31Z","title":"Variable exponent Calder\\'on's problem in one dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.04168","kind":"arxiv","version":3},"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:cb35eb9142c5d7881c70445e117bcd606d4fd388079c6db6881a41209e824cb0","target":"record","created_at":"2026-05-17T23:40:55Z","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":"9cf0312e3c9081763bc29a7236fad67f40d6d9319ea098cf1739034099916438","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-13T12:24:31Z","title_canon_sha256":"0e00d8a5756bd26fe917209a02adef9d3dd031853ae461dd04f7f0954269b52e"},"schema_version":"1.0","source":{"id":"1808.04168","kind":"arxiv","version":3}},"canonical_sha256":"ab1ad0f8f8fbf30da6e8852de751c9370ec6d5f1c5f03e3791e006a5be03be13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab1ad0f8f8fbf30da6e8852de751c9370ec6d5f1c5f03e3791e006a5be03be13","first_computed_at":"2026-05-17T23:40:55.948866Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:55.948866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lOd9lwwZ+lM+FsX59D8h/EU1OC0Q9YTMmEL4jayp5o8BXCICJZKHHgk02aYbd8CPiinsj9+nfrpDJfzziIS+CA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:55.949632Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.04168","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb35eb9142c5d7881c70445e117bcd606d4fd388079c6db6881a41209e824cb0","sha256:182eec5e8d4d7b4f72cdbc84df72c55b0a31efd26acedff830bdcd3bf6157a86"],"state_sha256":"7f499c8ab587b5f1b9854e474a368c1251c82c8f7eda8dc90b8d08cd51b470fe"}