{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:H7Q6NJMAKV7QGYRVC5626HB2IK","short_pith_number":"pith:H7Q6NJMA","schema_version":"1.0","canonical_sha256":"3fe1e6a580557f036235177daf1c3a42b2febd3c10590ea5cce341e6f7ef75ab","source":{"kind":"arxiv","id":"2002.05009","version":1},"attestation_state":"computed","paper":{"title":"On parameter identification problems for elliptic boundary value problems in divergence form, Part I: An abstract framework","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Anne Wald, Heiko Hoffmann","submitted_at":"2020-02-12T14:15:49Z","abstract_excerpt":"Parameter identification problems for partial differential equations are an important subclass of inverse problems. The parameter-to-state map, which maps the parameter of interest to the respective solution of the PDE or state of the system, plays the central role in the (usually nonlinear) forward operator. Consequently, one is interested in well-definedness and further analytic properties such as continuity and differentiability of this operator w.r.t. the parameter in order to make sure that techniques from inverse problems theory may be successfully applied to solve the inverse problem. I"},"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":"2002.05009","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-02-12T14:15:49Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"285f047c8cd7c8799034d6d18d61f2c1dfbb3803b7c3b5f2754663bc14e87d61","abstract_canon_sha256":"cf4b29a46f571b681fdb625e04c0d0a20cbc0770d371ba27e8b9c7a710fbc431"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:40:20.524549Z","signature_b64":"aVp4kJ0HeSxhu9EJmuozuQFNp+FCeyNHR1z50r+lSxISOA7Xaeo3RrQcMVdoWF1y8fFeiMgT6aJR/UMmh9X/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fe1e6a580557f036235177daf1c3a42b2febd3c10590ea5cce341e6f7ef75ab","last_reissued_at":"2026-07-05T00:40:20.524155Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:40:20.524155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On parameter identification problems for elliptic boundary value problems in divergence form, Part I: An abstract framework","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Anne Wald, Heiko Hoffmann","submitted_at":"2020-02-12T14:15:49Z","abstract_excerpt":"Parameter identification problems for partial differential equations are an important subclass of inverse problems. The parameter-to-state map, which maps the parameter of interest to the respective solution of the PDE or state of the system, plays the central role in the (usually nonlinear) forward operator. Consequently, one is interested in well-definedness and further analytic properties such as continuity and differentiability of this operator w.r.t. the parameter in order to make sure that techniques from inverse problems theory may be successfully applied to solve the inverse problem. I"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.05009","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2002.05009/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2002.05009","created_at":"2026-07-05T00:40:20.524212+00:00"},{"alias_kind":"arxiv_version","alias_value":"2002.05009v1","created_at":"2026-07-05T00:40:20.524212+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.05009","created_at":"2026-07-05T00:40:20.524212+00:00"},{"alias_kind":"pith_short_12","alias_value":"H7Q6NJMAKV7Q","created_at":"2026-07-05T00:40:20.524212+00:00"},{"alias_kind":"pith_short_16","alias_value":"H7Q6NJMAKV7QGYRV","created_at":"2026-07-05T00:40:20.524212+00:00"},{"alias_kind":"pith_short_8","alias_value":"H7Q6NJMA","created_at":"2026-07-05T00:40:20.524212+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/H7Q6NJMAKV7QGYRVC5626HB2IK","json":"https://pith.science/pith/H7Q6NJMAKV7QGYRVC5626HB2IK.json","graph_json":"https://pith.science/api/pith-number/H7Q6NJMAKV7QGYRVC5626HB2IK/graph.json","events_json":"https://pith.science/api/pith-number/H7Q6NJMAKV7QGYRVC5626HB2IK/events.json","paper":"https://pith.science/paper/H7Q6NJMA"},"agent_actions":{"view_html":"https://pith.science/pith/H7Q6NJMAKV7QGYRVC5626HB2IK","download_json":"https://pith.science/pith/H7Q6NJMAKV7QGYRVC5626HB2IK.json","view_paper":"https://pith.science/paper/H7Q6NJMA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2002.05009&json=true","fetch_graph":"https://pith.science/api/pith-number/H7Q6NJMAKV7QGYRVC5626HB2IK/graph.json","fetch_events":"https://pith.science/api/pith-number/H7Q6NJMAKV7QGYRVC5626HB2IK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H7Q6NJMAKV7QGYRVC5626HB2IK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H7Q6NJMAKV7QGYRVC5626HB2IK/action/storage_attestation","attest_author":"https://pith.science/pith/H7Q6NJMAKV7QGYRVC5626HB2IK/action/author_attestation","sign_citation":"https://pith.science/pith/H7Q6NJMAKV7QGYRVC5626HB2IK/action/citation_signature","submit_replication":"https://pith.science/pith/H7Q6NJMAKV7QGYRVC5626HB2IK/action/replication_record"}},"created_at":"2026-07-05T00:40:20.524212+00:00","updated_at":"2026-07-05T00:40:20.524212+00:00"}