{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:OXE34YPQOXM5YFBEYHW4QLGRYC","short_pith_number":"pith:OXE34YPQ","schema_version":"1.0","canonical_sha256":"75c9be61f075d9dc1424c1edc82cd1c0a1293182cc3fbc0dc60f23c115a1d22e","source":{"kind":"arxiv","id":"1509.06426","version":4},"attestation_state":"computed","paper":{"title":"An integral formulation for wave propagation on weakly non-uniform potential flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Gwenael Gabard, Michel Tournour, R. Jeremy Astley, Samuel Sinayoko, Simone Mancini","submitted_at":"2015-09-21T23:29:49Z","abstract_excerpt":"An integral formulation for acoustic radiation in moving flows is presented. It is based on a potential formulation for acoustic radiation on weakly non-uniform subsonic mean flows. This work is motivated by the absence of suitable kernels for wave propagation on non-uniform flow. The integral solution is formulated using a Green's function obtained by combining the Taylor and Lorentz transformations. Although most conventional approaches based on either transform solve the Helmholtz problem in a transformed domain, the current Green's function and associated integral equation are derived in t"},"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":"1509.06426","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-09-21T23:29:49Z","cross_cats_sorted":[],"title_canon_sha256":"5850f4c8f40776848301f0e5e668f357817bc066f36b91d3279217c804569423","abstract_canon_sha256":"08745e5f94dd6e7649b4278755db3bfe4847b046161661d7e6365cb05cae5514"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:50.449194Z","signature_b64":"davA3xd/m+a9t3VEBeiH+0O5lXGeVIa8EIOIW+NMgfBjPCJZJUyulpNTI6HT2saBTUdAht1gRUCEM5A2+aw0DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"75c9be61f075d9dc1424c1edc82cd1c0a1293182cc3fbc0dc60f23c115a1d22e","last_reissued_at":"2026-05-18T01:04:50.448812Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:50.448812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An integral formulation for wave propagation on weakly non-uniform potential flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Gwenael Gabard, Michel Tournour, R. Jeremy Astley, Samuel Sinayoko, Simone Mancini","submitted_at":"2015-09-21T23:29:49Z","abstract_excerpt":"An integral formulation for acoustic radiation in moving flows is presented. It is based on a potential formulation for acoustic radiation on weakly non-uniform subsonic mean flows. This work is motivated by the absence of suitable kernels for wave propagation on non-uniform flow. The integral solution is formulated using a Green's function obtained by combining the Taylor and Lorentz transformations. Although most conventional approaches based on either transform solve the Helmholtz problem in a transformed domain, the current Green's function and associated integral equation are derived in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06426","kind":"arxiv","version":4},"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":"1509.06426","created_at":"2026-05-18T01:04:50.448867+00:00"},{"alias_kind":"arxiv_version","alias_value":"1509.06426v4","created_at":"2026-05-18T01:04:50.448867+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06426","created_at":"2026-05-18T01:04:50.448867+00:00"},{"alias_kind":"pith_short_12","alias_value":"OXE34YPQOXM5","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_16","alias_value":"OXE34YPQOXM5YFBE","created_at":"2026-05-18T12:29:34.919912+00:00"},{"alias_kind":"pith_short_8","alias_value":"OXE34YPQ","created_at":"2026-05-18T12:29:34.919912+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/OXE34YPQOXM5YFBEYHW4QLGRYC","json":"https://pith.science/pith/OXE34YPQOXM5YFBEYHW4QLGRYC.json","graph_json":"https://pith.science/api/pith-number/OXE34YPQOXM5YFBEYHW4QLGRYC/graph.json","events_json":"https://pith.science/api/pith-number/OXE34YPQOXM5YFBEYHW4QLGRYC/events.json","paper":"https://pith.science/paper/OXE34YPQ"},"agent_actions":{"view_html":"https://pith.science/pith/OXE34YPQOXM5YFBEYHW4QLGRYC","download_json":"https://pith.science/pith/OXE34YPQOXM5YFBEYHW4QLGRYC.json","view_paper":"https://pith.science/paper/OXE34YPQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1509.06426&json=true","fetch_graph":"https://pith.science/api/pith-number/OXE34YPQOXM5YFBEYHW4QLGRYC/graph.json","fetch_events":"https://pith.science/api/pith-number/OXE34YPQOXM5YFBEYHW4QLGRYC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OXE34YPQOXM5YFBEYHW4QLGRYC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OXE34YPQOXM5YFBEYHW4QLGRYC/action/storage_attestation","attest_author":"https://pith.science/pith/OXE34YPQOXM5YFBEYHW4QLGRYC/action/author_attestation","sign_citation":"https://pith.science/pith/OXE34YPQOXM5YFBEYHW4QLGRYC/action/citation_signature","submit_replication":"https://pith.science/pith/OXE34YPQOXM5YFBEYHW4QLGRYC/action/replication_record"}},"created_at":"2026-05-18T01:04:50.448867+00:00","updated_at":"2026-05-18T01:04:50.448867+00:00"}