{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:YX5ZNMZPBTKW3YZ6ZSDHRDCYS4","short_pith_number":"pith:YX5ZNMZP","schema_version":"1.0","canonical_sha256":"c5fb96b32f0cd56de33ecc86788c58972419d00b8244bde080e18c5b3bc54a9f","source":{"kind":"arxiv","id":"0902.1973","version":2},"attestation_state":"computed","paper":{"title":"Thermoacoustic tomography with variable sound speed","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Gunther Uhlmann, Plamen Stefanov","submitted_at":"2009-02-11T20:57:28Z","abstract_excerpt":"We study the mathematical model of thermoacoustic tomography in media with a variable speed for a fixed time interval, greater than the diameter of the domain. In case of measurements on the whole boundary, we give an explicit solution in terms of a Neumann series expansion. We give necessary and sufficient conditions for uniqueness and stability when the measurements are taken on a part of the boundary."},"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":"0902.1973","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-02-11T20:57:28Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ff93e86005f75a71ae67201f152fa82441cf16c2e4f1ed1ce9cb15a05ebc7f02","abstract_canon_sha256":"008d5a1b86ae8c7c1774fe4e951084cadd5004b492a3d1f3c973e8738e92b40a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:41:14.267470Z","signature_b64":"ReJDjIz3uvh+/L12YWV6qA4Qx+fbeJblPggBUQm+nW1wuQs0jrs3PheO4lEQprUCAsTUlPurVG8y2aTMkyxtBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5fb96b32f0cd56de33ecc86788c58972419d00b8244bde080e18c5b3bc54a9f","last_reissued_at":"2026-05-18T04:41:14.266858Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:41:14.266858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermoacoustic tomography with variable sound speed","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Gunther Uhlmann, Plamen Stefanov","submitted_at":"2009-02-11T20:57:28Z","abstract_excerpt":"We study the mathematical model of thermoacoustic tomography in media with a variable speed for a fixed time interval, greater than the diameter of the domain. In case of measurements on the whole boundary, we give an explicit solution in terms of a Neumann series expansion. We give necessary and sufficient conditions for uniqueness and stability when the measurements are taken on a part of the boundary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.1973","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":"0902.1973","created_at":"2026-05-18T04:41:14.266944+00:00"},{"alias_kind":"arxiv_version","alias_value":"0902.1973v2","created_at":"2026-05-18T04:41:14.266944+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.1973","created_at":"2026-05-18T04:41:14.266944+00:00"},{"alias_kind":"pith_short_12","alias_value":"YX5ZNMZPBTKW","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"YX5ZNMZPBTKW3YZ6","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"YX5ZNMZP","created_at":"2026-05-18T12:26:02.257875+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/YX5ZNMZPBTKW3YZ6ZSDHRDCYS4","json":"https://pith.science/pith/YX5ZNMZPBTKW3YZ6ZSDHRDCYS4.json","graph_json":"https://pith.science/api/pith-number/YX5ZNMZPBTKW3YZ6ZSDHRDCYS4/graph.json","events_json":"https://pith.science/api/pith-number/YX5ZNMZPBTKW3YZ6ZSDHRDCYS4/events.json","paper":"https://pith.science/paper/YX5ZNMZP"},"agent_actions":{"view_html":"https://pith.science/pith/YX5ZNMZPBTKW3YZ6ZSDHRDCYS4","download_json":"https://pith.science/pith/YX5ZNMZPBTKW3YZ6ZSDHRDCYS4.json","view_paper":"https://pith.science/paper/YX5ZNMZP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0902.1973&json=true","fetch_graph":"https://pith.science/api/pith-number/YX5ZNMZPBTKW3YZ6ZSDHRDCYS4/graph.json","fetch_events":"https://pith.science/api/pith-number/YX5ZNMZPBTKW3YZ6ZSDHRDCYS4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YX5ZNMZPBTKW3YZ6ZSDHRDCYS4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YX5ZNMZPBTKW3YZ6ZSDHRDCYS4/action/storage_attestation","attest_author":"https://pith.science/pith/YX5ZNMZPBTKW3YZ6ZSDHRDCYS4/action/author_attestation","sign_citation":"https://pith.science/pith/YX5ZNMZPBTKW3YZ6ZSDHRDCYS4/action/citation_signature","submit_replication":"https://pith.science/pith/YX5ZNMZPBTKW3YZ6ZSDHRDCYS4/action/replication_record"}},"created_at":"2026-05-18T04:41:14.266944+00:00","updated_at":"2026-05-18T04:41:14.266944+00:00"}