{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:MKRVRGQQ3HU7HBONDA3TKTTZGE","short_pith_number":"pith:MKRVRGQQ","schema_version":"1.0","canonical_sha256":"62a3589a10d9e9f385cd1837354e79312712800fc17bb493819e440dd27bdb40","source":{"kind":"arxiv","id":"1202.2829","version":1},"attestation_state":"computed","paper":{"title":"Inverse problem by Cauchy data on arbitrary subboundary for system of elliptic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Masahiro Yamamoto, Oleg Imanuvilov","submitted_at":"2012-02-13T19:45:43Z","abstract_excerpt":"We consider an inverse problem of determining coefficient matrices in an $N$-system of second-order elliptic equations in a bounded two dimensional domain by a set of Cauchy data on arbitrary subboundary. The main result of the article is as follows: If two systems of elliptic operators generate the same set of partial Cauchy data on an arbitrary subboundary, then the coefficient matrices of the first-order and zero-order terms satisfy the prescribed system of first-order partial differential equations. The main result implies the uniqueness of any two coefficient matrices provided that the on"},"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":"1202.2829","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-02-13T19:45:43Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"35e52e4b95eba88104fb5ec3f6b61bcf00e4cad65c0af38f760395ddbd0a5ff4","abstract_canon_sha256":"a0e34edb629ed2c99068e25a3432c4e4d23aa4129816ba504f5b6f7c73550974"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:29.074234Z","signature_b64":"HeyX4Vrzc/j9zi0dzQYr3Lm7mbPY3SezvnW9fJWjsAWqPshy+fZ+FQr4LtgJqfK1BCg9wmiDpnRCCvL6lg64Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62a3589a10d9e9f385cd1837354e79312712800fc17bb493819e440dd27bdb40","last_reissued_at":"2026-05-18T01:58:29.073802Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:29.073802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inverse problem by Cauchy data on arbitrary subboundary for system of elliptic equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Masahiro Yamamoto, Oleg Imanuvilov","submitted_at":"2012-02-13T19:45:43Z","abstract_excerpt":"We consider an inverse problem of determining coefficient matrices in an $N$-system of second-order elliptic equations in a bounded two dimensional domain by a set of Cauchy data on arbitrary subboundary. The main result of the article is as follows: If two systems of elliptic operators generate the same set of partial Cauchy data on an arbitrary subboundary, then the coefficient matrices of the first-order and zero-order terms satisfy the prescribed system of first-order partial differential equations. The main result implies the uniqueness of any two coefficient matrices provided that the on"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2829","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":"1202.2829","created_at":"2026-05-18T01:58:29.073871+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.2829v1","created_at":"2026-05-18T01:58:29.073871+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2829","created_at":"2026-05-18T01:58:29.073871+00:00"},{"alias_kind":"pith_short_12","alias_value":"MKRVRGQQ3HU7","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"MKRVRGQQ3HU7HBON","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"MKRVRGQQ","created_at":"2026-05-18T12:27:14.488303+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/MKRVRGQQ3HU7HBONDA3TKTTZGE","json":"https://pith.science/pith/MKRVRGQQ3HU7HBONDA3TKTTZGE.json","graph_json":"https://pith.science/api/pith-number/MKRVRGQQ3HU7HBONDA3TKTTZGE/graph.json","events_json":"https://pith.science/api/pith-number/MKRVRGQQ3HU7HBONDA3TKTTZGE/events.json","paper":"https://pith.science/paper/MKRVRGQQ"},"agent_actions":{"view_html":"https://pith.science/pith/MKRVRGQQ3HU7HBONDA3TKTTZGE","download_json":"https://pith.science/pith/MKRVRGQQ3HU7HBONDA3TKTTZGE.json","view_paper":"https://pith.science/paper/MKRVRGQQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.2829&json=true","fetch_graph":"https://pith.science/api/pith-number/MKRVRGQQ3HU7HBONDA3TKTTZGE/graph.json","fetch_events":"https://pith.science/api/pith-number/MKRVRGQQ3HU7HBONDA3TKTTZGE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MKRVRGQQ3HU7HBONDA3TKTTZGE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MKRVRGQQ3HU7HBONDA3TKTTZGE/action/storage_attestation","attest_author":"https://pith.science/pith/MKRVRGQQ3HU7HBONDA3TKTTZGE/action/author_attestation","sign_citation":"https://pith.science/pith/MKRVRGQQ3HU7HBONDA3TKTTZGE/action/citation_signature","submit_replication":"https://pith.science/pith/MKRVRGQQ3HU7HBONDA3TKTTZGE/action/replication_record"}},"created_at":"2026-05-18T01:58:29.073871+00:00","updated_at":"2026-05-18T01:58:29.073871+00:00"}