{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7QULU5VYA3BXCBSJNWPOTDKTMB","short_pith_number":"pith:7QULU5VY","schema_version":"1.0","canonical_sha256":"fc28ba76b806c37106496d9ee98d53604117817a1b2590869ff8c8c0a8b94d41","source":{"kind":"arxiv","id":"1405.1895","version":1},"attestation_state":"computed","paper":{"title":"Application of fuzzy Laplace transforms for solving fuzzy partial Volterra integro-differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Latif Ahmad, Muhammad Farooq, Saif Ullah, Saleem Abdullah","submitted_at":"2014-05-08T11:54:04Z","abstract_excerpt":"Fuzzy partial integro-differential equations have a major role in the fields of science and engineering. In this paper, we propose the solution of fuzzy partial Volterra integro-differential equation with convolution type kernel using fuzzy Laplace transform method (FLTM) under Hukuhara differentiability. It is shown that FLTM is a simple and reliable approach for solving such equations analytically. Finally, the method is illustrated with few examples to show the ability of the proposed method."},"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":"1405.1895","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2014-05-08T11:54:04Z","cross_cats_sorted":[],"title_canon_sha256":"85481c4e3060ae2b806c5fa6c09841e3639312a6adf6093b5d4c5d6d48c7e8d8","abstract_canon_sha256":"f3f5f61ea06aef79e07925f86ff73edaeefa29d57a2f0ac681c667e09e251971"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:15.207306Z","signature_b64":"mVMvQQNcaKNJSAMzIzHEHckyLD/5ndKvSuQ/Xb8IuG2bx89dM797ueJVQv0fIesZ+qIel6ZlsRb9ILj8To+jAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc28ba76b806c37106496d9ee98d53604117817a1b2590869ff8c8c0a8b94d41","last_reissued_at":"2026-05-18T02:52:15.206694Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:15.206694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Application of fuzzy Laplace transforms for solving fuzzy partial Volterra integro-differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Latif Ahmad, Muhammad Farooq, Saif Ullah, Saleem Abdullah","submitted_at":"2014-05-08T11:54:04Z","abstract_excerpt":"Fuzzy partial integro-differential equations have a major role in the fields of science and engineering. In this paper, we propose the solution of fuzzy partial Volterra integro-differential equation with convolution type kernel using fuzzy Laplace transform method (FLTM) under Hukuhara differentiability. It is shown that FLTM is a simple and reliable approach for solving such equations analytically. Finally, the method is illustrated with few examples to show the ability of the proposed method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.1895","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":"1405.1895","created_at":"2026-05-18T02:52:15.206786+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.1895v1","created_at":"2026-05-18T02:52:15.206786+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.1895","created_at":"2026-05-18T02:52:15.206786+00:00"},{"alias_kind":"pith_short_12","alias_value":"7QULU5VYA3BX","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"7QULU5VYA3BXCBSJ","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"7QULU5VY","created_at":"2026-05-18T12:28:19.803747+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/7QULU5VYA3BXCBSJNWPOTDKTMB","json":"https://pith.science/pith/7QULU5VYA3BXCBSJNWPOTDKTMB.json","graph_json":"https://pith.science/api/pith-number/7QULU5VYA3BXCBSJNWPOTDKTMB/graph.json","events_json":"https://pith.science/api/pith-number/7QULU5VYA3BXCBSJNWPOTDKTMB/events.json","paper":"https://pith.science/paper/7QULU5VY"},"agent_actions":{"view_html":"https://pith.science/pith/7QULU5VYA3BXCBSJNWPOTDKTMB","download_json":"https://pith.science/pith/7QULU5VYA3BXCBSJNWPOTDKTMB.json","view_paper":"https://pith.science/paper/7QULU5VY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.1895&json=true","fetch_graph":"https://pith.science/api/pith-number/7QULU5VYA3BXCBSJNWPOTDKTMB/graph.json","fetch_events":"https://pith.science/api/pith-number/7QULU5VYA3BXCBSJNWPOTDKTMB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7QULU5VYA3BXCBSJNWPOTDKTMB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7QULU5VYA3BXCBSJNWPOTDKTMB/action/storage_attestation","attest_author":"https://pith.science/pith/7QULU5VYA3BXCBSJNWPOTDKTMB/action/author_attestation","sign_citation":"https://pith.science/pith/7QULU5VYA3BXCBSJNWPOTDKTMB/action/citation_signature","submit_replication":"https://pith.science/pith/7QULU5VYA3BXCBSJNWPOTDKTMB/action/replication_record"}},"created_at":"2026-05-18T02:52:15.206786+00:00","updated_at":"2026-05-18T02:52:15.206786+00:00"}