{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:NDKTNLGEDBXAP6WQD7CQ2AHYN2","short_pith_number":"pith:NDKTNLGE","schema_version":"1.0","canonical_sha256":"68d536acc4186e07fad01fc50d00f86eb22b8220ed9c855bc6dcd6156de6446d","source":{"kind":"arxiv","id":"1606.03020","version":2},"attestation_state":"computed","paper":{"title":"Reconstruction and stability for piecewise smooth potentials in the plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jorge Tejero","submitted_at":"2016-06-09T16:32:48Z","abstract_excerpt":"We show that potentials with jump discontinuities can be recovered from the Dirichlet-to-Neumann map using Bukhgeim's method. Combining with known formulas, this enables the recovery from the scattering amplitude at a fixed energy. We also provide a priori stability estimates for reconstruction from the Dirichlet-to-Neumann map as well as from the scattering amplitudegiven an approximate knowledge of the location of the discontinuities."},"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":"1606.03020","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-06-09T16:32:48Z","cross_cats_sorted":[],"title_canon_sha256":"180f0038cb1fca9b77bd5818ab1861240a400575c8cd606029b19da188038c3a","abstract_canon_sha256":"9a2e9fce4ec8174bcbfba25212030e5abb150f71a771480fda2d39929bd9b5cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:01.752537Z","signature_b64":"FdWmkZ/bjYjkC3VY5ceIWy9HtBjyw7HjggyU2WtZQ4HATapaj/DcpN+mFuSB8wF2gkkppz5/m2kMMYVotRxDBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68d536acc4186e07fad01fc50d00f86eb22b8220ed9c855bc6dcd6156de6446d","last_reissued_at":"2026-05-18T01:11:01.751894Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:01.751894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reconstruction and stability for piecewise smooth potentials in the plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jorge Tejero","submitted_at":"2016-06-09T16:32:48Z","abstract_excerpt":"We show that potentials with jump discontinuities can be recovered from the Dirichlet-to-Neumann map using Bukhgeim's method. Combining with known formulas, this enables the recovery from the scattering amplitude at a fixed energy. We also provide a priori stability estimates for reconstruction from the Dirichlet-to-Neumann map as well as from the scattering amplitudegiven an approximate knowledge of the location of the discontinuities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03020","kind":"arxiv","version":2},"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":"1606.03020","created_at":"2026-05-18T01:11:01.751974+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.03020v2","created_at":"2026-05-18T01:11:01.751974+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03020","created_at":"2026-05-18T01:11:01.751974+00:00"},{"alias_kind":"pith_short_12","alias_value":"NDKTNLGEDBXA","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_16","alias_value":"NDKTNLGEDBXAP6WQ","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_8","alias_value":"NDKTNLGE","created_at":"2026-05-18T12:30:32.724797+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/NDKTNLGEDBXAP6WQD7CQ2AHYN2","json":"https://pith.science/pith/NDKTNLGEDBXAP6WQD7CQ2AHYN2.json","graph_json":"https://pith.science/api/pith-number/NDKTNLGEDBXAP6WQD7CQ2AHYN2/graph.json","events_json":"https://pith.science/api/pith-number/NDKTNLGEDBXAP6WQD7CQ2AHYN2/events.json","paper":"https://pith.science/paper/NDKTNLGE"},"agent_actions":{"view_html":"https://pith.science/pith/NDKTNLGEDBXAP6WQD7CQ2AHYN2","download_json":"https://pith.science/pith/NDKTNLGEDBXAP6WQD7CQ2AHYN2.json","view_paper":"https://pith.science/paper/NDKTNLGE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.03020&json=true","fetch_graph":"https://pith.science/api/pith-number/NDKTNLGEDBXAP6WQD7CQ2AHYN2/graph.json","fetch_events":"https://pith.science/api/pith-number/NDKTNLGEDBXAP6WQD7CQ2AHYN2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NDKTNLGEDBXAP6WQD7CQ2AHYN2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NDKTNLGEDBXAP6WQD7CQ2AHYN2/action/storage_attestation","attest_author":"https://pith.science/pith/NDKTNLGEDBXAP6WQD7CQ2AHYN2/action/author_attestation","sign_citation":"https://pith.science/pith/NDKTNLGEDBXAP6WQD7CQ2AHYN2/action/citation_signature","submit_replication":"https://pith.science/pith/NDKTNLGEDBXAP6WQD7CQ2AHYN2/action/replication_record"}},"created_at":"2026-05-18T01:11:01.751974+00:00","updated_at":"2026-05-18T01:11:01.751974+00:00"}