{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:SOGP5T2WXNK56B5OTBMSRI4YOH","short_pith_number":"pith:SOGP5T2W","schema_version":"1.0","canonical_sha256":"938cfecf56bb55df07ae985928a39871f007f04421666914fafe5be05d233e37","source":{"kind":"arxiv","id":"1904.00644","version":1},"attestation_state":"computed","paper":{"title":"Boundary determination for hybrid imaging from a single measurement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.NA","authors_text":"Tommi Brander, Torbj{\\o}rn Ringholm","submitted_at":"2019-04-01T09:03:22Z","abstract_excerpt":"We recover the conductivity $\\sigma$ at the boundary of a domain from a combination of interior and boundary data, with a single quite arbitrary measurement, in AET or CDII. The argument is elementary and local. More generally, we consider the variable exponent $p(\\cdot)$-Laplacian as a forward model with the interior data $\\sigma |\\nabla u|^q$, and find out that single measurement specifies the boundary conductivity when $p-q \\ge 1$, and otherwise the measurement specifies two alternatives. We present heuristics for selecting between these alternatives. Both $p$ and $q$ may depend on the spat"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1904.00644","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-04-01T09:03:22Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"e47840b1c5bc441e628825b23ebdc4a38739c944c8a88b34a8dd99a7976b8375","abstract_canon_sha256":"d9f440ade97ce636afea138006c3855532f0723392de8ce8a2c15dd1076c364b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:47.821192Z","signature_b64":"4k72B3rZQ0iDnO4rhUkibKEvQSfBfpgpsdvDxLYieOV4iIgGK6vQJBNxzmRA/sh88I5Nevv4EMWzGFi/O9tsBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"938cfecf56bb55df07ae985928a39871f007f04421666914fafe5be05d233e37","last_reissued_at":"2026-05-17T23:49:47.820659Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:47.820659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Boundary determination for hybrid imaging from a single measurement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.NA","authors_text":"Tommi Brander, Torbj{\\o}rn Ringholm","submitted_at":"2019-04-01T09:03:22Z","abstract_excerpt":"We recover the conductivity $\\sigma$ at the boundary of a domain from a combination of interior and boundary data, with a single quite arbitrary measurement, in AET or CDII. The argument is elementary and local. More generally, we consider the variable exponent $p(\\cdot)$-Laplacian as a forward model with the interior data $\\sigma |\\nabla u|^q$, and find out that single measurement specifies the boundary conductivity when $p-q \\ge 1$, and otherwise the measurement specifies two alternatives. We present heuristics for selecting between these alternatives. Both $p$ and $q$ may depend on the spat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.00644","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1904.00644","created_at":"2026-05-17T23:49:47.820756+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.00644v1","created_at":"2026-05-17T23:49:47.820756+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.00644","created_at":"2026-05-17T23:49:47.820756+00:00"},{"alias_kind":"pith_short_12","alias_value":"SOGP5T2WXNK5","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_16","alias_value":"SOGP5T2WXNK56B5O","created_at":"2026-05-18T12:33:27.125529+00:00"},{"alias_kind":"pith_short_8","alias_value":"SOGP5T2W","created_at":"2026-05-18T12:33:27.125529+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SOGP5T2WXNK56B5OTBMSRI4YOH","json":"https://pith.science/pith/SOGP5T2WXNK56B5OTBMSRI4YOH.json","graph_json":"https://pith.science/api/pith-number/SOGP5T2WXNK56B5OTBMSRI4YOH/graph.json","events_json":"https://pith.science/api/pith-number/SOGP5T2WXNK56B5OTBMSRI4YOH/events.json","paper":"https://pith.science/paper/SOGP5T2W"},"agent_actions":{"view_html":"https://pith.science/pith/SOGP5T2WXNK56B5OTBMSRI4YOH","download_json":"https://pith.science/pith/SOGP5T2WXNK56B5OTBMSRI4YOH.json","view_paper":"https://pith.science/paper/SOGP5T2W","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.00644&json=true","fetch_graph":"https://pith.science/api/pith-number/SOGP5T2WXNK56B5OTBMSRI4YOH/graph.json","fetch_events":"https://pith.science/api/pith-number/SOGP5T2WXNK56B5OTBMSRI4YOH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SOGP5T2WXNK56B5OTBMSRI4YOH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SOGP5T2WXNK56B5OTBMSRI4YOH/action/storage_attestation","attest_author":"https://pith.science/pith/SOGP5T2WXNK56B5OTBMSRI4YOH/action/author_attestation","sign_citation":"https://pith.science/pith/SOGP5T2WXNK56B5OTBMSRI4YOH/action/citation_signature","submit_replication":"https://pith.science/pith/SOGP5T2WXNK56B5OTBMSRI4YOH/action/replication_record"}},"created_at":"2026-05-17T23:49:47.820756+00:00","updated_at":"2026-05-17T23:49:47.820756+00:00"}