{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:CI3XVY35KNZSEXA6KBJS3FT5QE","short_pith_number":"pith:CI3XVY35","schema_version":"1.0","canonical_sha256":"12377ae37d5373225c1e50532d967d81272fc30aeedfab3410da351a7d3be693","source":{"kind":"arxiv","id":"1903.09428","version":1},"attestation_state":"computed","paper":{"title":"The Dirichlet-to-Neumann map in a disk with a one-step radial potential. An analytical and numerical study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Carlos Castro, Juan A. Barcel\\'o, Sagrario Lantar\\'on, Susana Merch\\'an","submitted_at":"2019-03-22T10:00:23Z","abstract_excerpt":"We consider the Schr\\\"odinger operator with a potential q on a disk and the map that associates to q the corresponding Dirichlet to Neumann (DtN) map. We give some numerical and analytical results on the range of this map and its stability, for the particular class of one-step radial potentials."},"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":"1903.09428","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-22T10:00:23Z","cross_cats_sorted":[],"title_canon_sha256":"4d8dcf14e4050e3286cd186e7b007f7e21923b9ad9505660a56726b35cebb36e","abstract_canon_sha256":"78b4a0f8547a9563c006095b92389d4da1cc960135f66fceca304231d4d37912"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:39.657626Z","signature_b64":"e8xjtjYxviKmKtgoHAIr1p/lHE5dNLwrBLLYz4mU+vr2v5fuSC8FYkiIuw01zLQlcbqczl8PmbhJ9+33un/yCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12377ae37d5373225c1e50532d967d81272fc30aeedfab3410da351a7d3be693","last_reissued_at":"2026-05-17T23:50:39.657167Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:39.657167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Dirichlet-to-Neumann map in a disk with a one-step radial potential. An analytical and numerical study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Carlos Castro, Juan A. Barcel\\'o, Sagrario Lantar\\'on, Susana Merch\\'an","submitted_at":"2019-03-22T10:00:23Z","abstract_excerpt":"We consider the Schr\\\"odinger operator with a potential q on a disk and the map that associates to q the corresponding Dirichlet to Neumann (DtN) map. We give some numerical and analytical results on the range of this map and its stability, for the particular class of one-step radial potentials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.09428","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":"1903.09428","created_at":"2026-05-17T23:50:39.657229+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.09428v1","created_at":"2026-05-17T23:50:39.657229+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.09428","created_at":"2026-05-17T23:50:39.657229+00:00"},{"alias_kind":"pith_short_12","alias_value":"CI3XVY35KNZS","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_16","alias_value":"CI3XVY35KNZSEXA6","created_at":"2026-05-18T12:33:12.712433+00:00"},{"alias_kind":"pith_short_8","alias_value":"CI3XVY35","created_at":"2026-05-18T12:33:12.712433+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/CI3XVY35KNZSEXA6KBJS3FT5QE","json":"https://pith.science/pith/CI3XVY35KNZSEXA6KBJS3FT5QE.json","graph_json":"https://pith.science/api/pith-number/CI3XVY35KNZSEXA6KBJS3FT5QE/graph.json","events_json":"https://pith.science/api/pith-number/CI3XVY35KNZSEXA6KBJS3FT5QE/events.json","paper":"https://pith.science/paper/CI3XVY35"},"agent_actions":{"view_html":"https://pith.science/pith/CI3XVY35KNZSEXA6KBJS3FT5QE","download_json":"https://pith.science/pith/CI3XVY35KNZSEXA6KBJS3FT5QE.json","view_paper":"https://pith.science/paper/CI3XVY35","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.09428&json=true","fetch_graph":"https://pith.science/api/pith-number/CI3XVY35KNZSEXA6KBJS3FT5QE/graph.json","fetch_events":"https://pith.science/api/pith-number/CI3XVY35KNZSEXA6KBJS3FT5QE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CI3XVY35KNZSEXA6KBJS3FT5QE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CI3XVY35KNZSEXA6KBJS3FT5QE/action/storage_attestation","attest_author":"https://pith.science/pith/CI3XVY35KNZSEXA6KBJS3FT5QE/action/author_attestation","sign_citation":"https://pith.science/pith/CI3XVY35KNZSEXA6KBJS3FT5QE/action/citation_signature","submit_replication":"https://pith.science/pith/CI3XVY35KNZSEXA6KBJS3FT5QE/action/replication_record"}},"created_at":"2026-05-17T23:50:39.657229+00:00","updated_at":"2026-05-17T23:50:39.657229+00:00"}