{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:W4NG2HWSCMM6UFPENHCSU5ILI5","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":"0765b698e8c5118acb35496704f3a7b904b0d08bca605b6f775a50fbada51316","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-20T06:55:00Z","title_canon_sha256":"26db2af8684fe072094bb1047bbd923f8a25ec5f48b7ae51488229b8a0fd0979"},"schema_version":"1.0","source":{"id":"1604.05844","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05844","created_at":"2026-05-17T23:56:00Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05844v1","created_at":"2026-05-17T23:56:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05844","created_at":"2026-05-17T23:56:00Z"},{"alias_kind":"pith_short_12","alias_value":"W4NG2HWSCMM6","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"W4NG2HWSCMM6UFPE","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"W4NG2HWS","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:3cb54c34667ee0d53d92706967b6481b72e490520adebefb5539b041fe6c9f87","target":"graph","created_at":"2026-05-17T23:56:00Z","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 investigate a generalization of Calder\\'on's problem of recovering the conductivity coefficient in a conductivity equation from boundary measurements.\n  As a model equation we consider the p-conductivity equation with p strictly between one and infinity, which reduces to the standard conductivity equation when p equals two, and to the p-Laplace equation when the conductivity is constant.\n  The thesis consists of results on the direct problem, boundary determination and detecting inclusions. We formulate the equation as a variational problem also when the conductivity may be zero or infinity","authors_text":"Tommi Brander","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-20T06:55:00Z","title":"Calder\\'on's problem for p-Laplace type equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05844","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":"sha256:8a353675f49090ff15c45a8678d4d2e55f6825b9a23b647333a7e61943faede9","target":"record","created_at":"2026-05-17T23:56:00Z","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":"0765b698e8c5118acb35496704f3a7b904b0d08bca605b6f775a50fbada51316","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-20T06:55:00Z","title_canon_sha256":"26db2af8684fe072094bb1047bbd923f8a25ec5f48b7ae51488229b8a0fd0979"},"schema_version":"1.0","source":{"id":"1604.05844","kind":"arxiv","version":1}},"canonical_sha256":"b71a6d1ed21319ea15e469c52a750b4762f139f35d6bae2fc810195c19ddc57f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b71a6d1ed21319ea15e469c52a750b4762f139f35d6bae2fc810195c19ddc57f","first_computed_at":"2026-05-17T23:56:00.812079Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:00.812079Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x6AY1qry99qigKFHoGQ4FSFz+wWZ521inWvSb2vIXuuxry2wli6XfAuES4bAs0WBiylyeHeQ/9igiTJU/E/1DA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:00.812748Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.05844","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a353675f49090ff15c45a8678d4d2e55f6825b9a23b647333a7e61943faede9","sha256:3cb54c34667ee0d53d92706967b6481b72e490520adebefb5539b041fe6c9f87"],"state_sha256":"7e2f5d2d702e224cb404878a77236e74868f404994312c57dd3d3fa1f8b340e3"}