{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TQMHRJNONJTMFJ4GA4VM52Y5K2","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":"1f39ddd809d60402c6aafb61f8c78849547a6cea973b5c88245f3bf9e145c9a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-25T16:11:50Z","title_canon_sha256":"3f9a4f6519146a882cf24e98895348c5bcace7f8d8aaf78178dd725154707bd3"},"schema_version":"1.0","source":{"id":"1209.5662","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.5662","created_at":"2026-05-18T02:29:55Z"},{"alias_kind":"arxiv_version","alias_value":"1209.5662v7","created_at":"2026-05-18T02:29:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.5662","created_at":"2026-05-18T02:29:55Z"},{"alias_kind":"pith_short_12","alias_value":"TQMHRJNONJTM","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TQMHRJNONJTMFJ4G","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TQMHRJNO","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:7548bcb7ca75459add5ad148a807651d125634ab2b2b6acc794665b2bbea4ecc","target":"graph","created_at":"2026-05-18T02:29:55Z","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 the inverse problem of determining the unknown function $\\alpha: \\mathbb{R} \\rightarrow \\mathbb{R}$ from the DN map associated to the operator $\\mbox{div}(A(x',\\alpha (x\\_3))\\nabla \\cdot)$ acting in the infinite straight cylindrical waveguide $\\Omega =\\omega \\times \\mathbb{R}$, where $\\omega$ is a bounded domain of $\\mathbb{R}^2$. Here $A=(A\\_{ij}(x))$, $x=(x',x\\_3) \\in \\Omega$, is a matrix-valued metric on $\\Omega$ obtained by straightening a twisted waveguide. This inverse anisotropic conductivity problem remains generally open, unless the unknown function $\\alpha$ is assumed to ","authors_text":"Eric Soccorsi (CPT), Mourad Choulli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-25T16:11:50Z","title":"An inverse anisotropic conductivity problem induced bytwisting a homogeneous cylindrical domain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.5662","kind":"arxiv","version":7},"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":"sha256:20ef772df3ee0df17c39276e87f35b49461dc94d040ced30ad9dbb4e4c5bb731","target":"record","created_at":"2026-05-18T02:29:55Z","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":"1f39ddd809d60402c6aafb61f8c78849547a6cea973b5c88245f3bf9e145c9a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-25T16:11:50Z","title_canon_sha256":"3f9a4f6519146a882cf24e98895348c5bcace7f8d8aaf78178dd725154707bd3"},"schema_version":"1.0","source":{"id":"1209.5662","kind":"arxiv","version":7}},"canonical_sha256":"9c1878a5ae6a66c2a786072aceeb1d56ac30dc5fad3a9bc90c9b9741780c2f81","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c1878a5ae6a66c2a786072aceeb1d56ac30dc5fad3a9bc90c9b9741780c2f81","first_computed_at":"2026-05-18T02:29:55.364718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:55.364718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QKhFje7UZeYsT/rFpMUL4Kfe1/Y0Hv4kyMZwSw3Z5qoGWc64fMEJ5U7WUn8+hwJ8HPdNXnWuC3ufgfOoW2E2Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:55.365238Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.5662","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20ef772df3ee0df17c39276e87f35b49461dc94d040ced30ad9dbb4e4c5bb731","sha256:7548bcb7ca75459add5ad148a807651d125634ab2b2b6acc794665b2bbea4ecc"],"state_sha256":"8db87ae05093903d3e07dfff10555ec61bb8e503587fb9c7812e1149ed92147e"}