{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:JTX3YMYOQF6HWJTSHJX7QLRUOF","short_pith_number":"pith:JTX3YMYO","schema_version":"1.0","canonical_sha256":"4cefbc330e817c7b26723a6ff82e347173d9e9745ed33bd5c8c911ea0c7f12fa","source":{"kind":"arxiv","id":"1505.04614","version":5},"attestation_state":"computed","paper":{"title":"Extraction of the index of refraction by embedding multiple and close small inclusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ahmed Alsaedi, Durga Prasad Challa, Faris Alzahrani, Mokhtar Kirane, Mourad Sini","submitted_at":"2015-05-18T12:47:06Z","abstract_excerpt":"We deal with the problem of reconstructing material coefficients from the farfields they generate. By embedding small (single) inclusions to these media, located at points $z$ in the support of these materials, and measuring the farfields generated by these deformations we can extract the values of the total field generated by these media at the points $z$. The second step is to extract the values of the material coefficients from these internal values of the total field. The main difficulty in using internal fields is the treatment of their possible zeros.\n  In this work, we propose to deform"},"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":"1505.04614","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-05-18T12:47:06Z","cross_cats_sorted":[],"title_canon_sha256":"6c4b6dbb42ce7ee3199688782d809eb17ebb6f2f07b4ef1802945e75d238bd13","abstract_canon_sha256":"6d0d100a94a3e3a695506678aeb788abd55d7e47754b9c3c73362e5b64436036"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:52.280591Z","signature_b64":"zddvNa6TopZFnfwu4GEFsOrTGOA0BBE8UO1K2yZL04HcmRhX2gzk9N9MZBCwmgVXfa6kKaD7eoeC5WYQojqhCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cefbc330e817c7b26723a6ff82e347173d9e9745ed33bd5c8c911ea0c7f12fa","last_reissued_at":"2026-05-18T01:01:52.279901Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:52.279901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extraction of the index of refraction by embedding multiple and close small inclusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ahmed Alsaedi, Durga Prasad Challa, Faris Alzahrani, Mokhtar Kirane, Mourad Sini","submitted_at":"2015-05-18T12:47:06Z","abstract_excerpt":"We deal with the problem of reconstructing material coefficients from the farfields they generate. By embedding small (single) inclusions to these media, located at points $z$ in the support of these materials, and measuring the farfields generated by these deformations we can extract the values of the total field generated by these media at the points $z$. The second step is to extract the values of the material coefficients from these internal values of the total field. The main difficulty in using internal fields is the treatment of their possible zeros.\n  In this work, we propose to deform"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.04614","kind":"arxiv","version":5},"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":"1505.04614","created_at":"2026-05-18T01:01:52.280018+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.04614v5","created_at":"2026-05-18T01:01:52.280018+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.04614","created_at":"2026-05-18T01:01:52.280018+00:00"},{"alias_kind":"pith_short_12","alias_value":"JTX3YMYOQF6H","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"JTX3YMYOQF6HWJTS","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"JTX3YMYO","created_at":"2026-05-18T12:29:27.538025+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/JTX3YMYOQF6HWJTSHJX7QLRUOF","json":"https://pith.science/pith/JTX3YMYOQF6HWJTSHJX7QLRUOF.json","graph_json":"https://pith.science/api/pith-number/JTX3YMYOQF6HWJTSHJX7QLRUOF/graph.json","events_json":"https://pith.science/api/pith-number/JTX3YMYOQF6HWJTSHJX7QLRUOF/events.json","paper":"https://pith.science/paper/JTX3YMYO"},"agent_actions":{"view_html":"https://pith.science/pith/JTX3YMYOQF6HWJTSHJX7QLRUOF","download_json":"https://pith.science/pith/JTX3YMYOQF6HWJTSHJX7QLRUOF.json","view_paper":"https://pith.science/paper/JTX3YMYO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.04614&json=true","fetch_graph":"https://pith.science/api/pith-number/JTX3YMYOQF6HWJTSHJX7QLRUOF/graph.json","fetch_events":"https://pith.science/api/pith-number/JTX3YMYOQF6HWJTSHJX7QLRUOF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JTX3YMYOQF6HWJTSHJX7QLRUOF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JTX3YMYOQF6HWJTSHJX7QLRUOF/action/storage_attestation","attest_author":"https://pith.science/pith/JTX3YMYOQF6HWJTSHJX7QLRUOF/action/author_attestation","sign_citation":"https://pith.science/pith/JTX3YMYOQF6HWJTSHJX7QLRUOF/action/citation_signature","submit_replication":"https://pith.science/pith/JTX3YMYOQF6HWJTSHJX7QLRUOF/action/replication_record"}},"created_at":"2026-05-18T01:01:52.280018+00:00","updated_at":"2026-05-18T01:01:52.280018+00:00"}