{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:OTPFOEANVO3BJL4HEHJETBJ2U5","short_pith_number":"pith:OTPFOEAN","schema_version":"1.0","canonical_sha256":"74de57100dabb614af8721d249853aa75f5984c0dcd95d61c218d37719dc0e20","source":{"kind":"arxiv","id":"1112.2441","version":1},"attestation_state":"computed","paper":{"title":"Sharp estimates for the Neumann functions and applications to quantitative photo-acoustic imaging in inhomogeneous media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Habib Ammari, Hyeonbae Kang, Seick Kim","submitted_at":"2011-12-12T04:57:45Z","abstract_excerpt":"We obtain sharp $L^p$ and H\\\"older estimates for the Neumann function of the operator $\\nabla \\cdot \\gamma \\nabla - ik$ on a bounded domain. We also obtain quantitative description of its singularity. We then apply these estimates to quantitative photo-acoustic imaging in inhomogeneous media. The problem is to reconstruct the optical absorption coefficient of a diametrically small anomaly from the absorbed energy density."},"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":"1112.2441","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-12-12T04:57:45Z","cross_cats_sorted":[],"title_canon_sha256":"4e1cad6d09200face4bcec59042bb1f74195237f78c336bc7dcca63668157d74","abstract_canon_sha256":"9d5bea1a7bcdfe52b6a356d175547aeef5e40e17b7f48e0ed2de5cd53eec2411"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:02.946908Z","signature_b64":"czOuxWJwroyDBR1KnqngZQ7YixubZybiUwrBHN6yGUXeRfHn6Ch0HGL35hR66TedYKXRd0FiR8pHpbsWgYaXAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74de57100dabb614af8721d249853aa75f5984c0dcd95d61c218d37719dc0e20","last_reissued_at":"2026-05-18T03:57:02.946063Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:02.946063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sharp estimates for the Neumann functions and applications to quantitative photo-acoustic imaging in inhomogeneous media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Habib Ammari, Hyeonbae Kang, Seick Kim","submitted_at":"2011-12-12T04:57:45Z","abstract_excerpt":"We obtain sharp $L^p$ and H\\\"older estimates for the Neumann function of the operator $\\nabla \\cdot \\gamma \\nabla - ik$ on a bounded domain. We also obtain quantitative description of its singularity. We then apply these estimates to quantitative photo-acoustic imaging in inhomogeneous media. The problem is to reconstruct the optical absorption coefficient of a diametrically small anomaly from the absorbed energy density."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2441","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":"1112.2441","created_at":"2026-05-18T03:57:02.946190+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.2441v1","created_at":"2026-05-18T03:57:02.946190+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2441","created_at":"2026-05-18T03:57:02.946190+00:00"},{"alias_kind":"pith_short_12","alias_value":"OTPFOEANVO3B","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_16","alias_value":"OTPFOEANVO3BJL4H","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_8","alias_value":"OTPFOEAN","created_at":"2026-05-18T12:26:37.096874+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/OTPFOEANVO3BJL4HEHJETBJ2U5","json":"https://pith.science/pith/OTPFOEANVO3BJL4HEHJETBJ2U5.json","graph_json":"https://pith.science/api/pith-number/OTPFOEANVO3BJL4HEHJETBJ2U5/graph.json","events_json":"https://pith.science/api/pith-number/OTPFOEANVO3BJL4HEHJETBJ2U5/events.json","paper":"https://pith.science/paper/OTPFOEAN"},"agent_actions":{"view_html":"https://pith.science/pith/OTPFOEANVO3BJL4HEHJETBJ2U5","download_json":"https://pith.science/pith/OTPFOEANVO3BJL4HEHJETBJ2U5.json","view_paper":"https://pith.science/paper/OTPFOEAN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.2441&json=true","fetch_graph":"https://pith.science/api/pith-number/OTPFOEANVO3BJL4HEHJETBJ2U5/graph.json","fetch_events":"https://pith.science/api/pith-number/OTPFOEANVO3BJL4HEHJETBJ2U5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OTPFOEANVO3BJL4HEHJETBJ2U5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OTPFOEANVO3BJL4HEHJETBJ2U5/action/storage_attestation","attest_author":"https://pith.science/pith/OTPFOEANVO3BJL4HEHJETBJ2U5/action/author_attestation","sign_citation":"https://pith.science/pith/OTPFOEANVO3BJL4HEHJETBJ2U5/action/citation_signature","submit_replication":"https://pith.science/pith/OTPFOEANVO3BJL4HEHJETBJ2U5/action/replication_record"}},"created_at":"2026-05-18T03:57:02.946190+00:00","updated_at":"2026-05-18T03:57:02.946190+00:00"}