{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:2BNBY5JIAQFNOZKGSOEFQR37RG","short_pith_number":"pith:2BNBY5JI","schema_version":"1.0","canonical_sha256":"d05a1c7528040ad76546938858477f89b5a5353ddf9a3840fefed72608e7d067","source":{"kind":"arxiv","id":"1403.7511","version":3},"attestation_state":"computed","paper":{"title":"An acoustic space-time and the Lorentz transformation in aeroacoustics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Alastair Logan Gregory, Anurag Agarwal, Joan Lasenby, Samuel Sinayoko","submitted_at":"2014-03-28T19:39:40Z","abstract_excerpt":"In this paper we introduce concepts from relativity and geometric algebra to aeroacoustics. We do this using an acoustic space-time transformation within the framework of sound propagation in uniform flows. By using Geometric Algebra we are able to provide a simple geometric interpretation to the space-time transformation, and are able to give neat and lucid derivations of the free-field Green's function for the convected wave equation and the Doppler shift for a stationary observer and a source in uniform rectilinear motion in a uniform flow."},"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":"1403.7511","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-03-28T19:39:40Z","cross_cats_sorted":[],"title_canon_sha256":"a634dc2dd1380c02c5bcbc42169d72c637a531d66c6731886f7636e7aecf3fbb","abstract_canon_sha256":"2135c44e9f00519ccb2ad7211727f5123fd7d38b96ed39bb1d4cc617ba9d4be7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:49.278896Z","signature_b64":"dC+hr0A5UacR5CSA5b/SPE9ZxdfG0QyMuagfLAoM//nxdclvIc1YD/ljR5RIDkUZAodIvfDF6E6tmj/92FmKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d05a1c7528040ad76546938858477f89b5a5353ddf9a3840fefed72608e7d067","last_reissued_at":"2026-05-18T01:26:49.277992Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:49.277992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An acoustic space-time and the Lorentz transformation in aeroacoustics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Alastair Logan Gregory, Anurag Agarwal, Joan Lasenby, Samuel Sinayoko","submitted_at":"2014-03-28T19:39:40Z","abstract_excerpt":"In this paper we introduce concepts from relativity and geometric algebra to aeroacoustics. We do this using an acoustic space-time transformation within the framework of sound propagation in uniform flows. By using Geometric Algebra we are able to provide a simple geometric interpretation to the space-time transformation, and are able to give neat and lucid derivations of the free-field Green's function for the convected wave equation and the Doppler shift for a stationary observer and a source in uniform rectilinear motion in a uniform flow."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7511","kind":"arxiv","version":3},"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":"1403.7511","created_at":"2026-05-18T01:26:49.278130+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.7511v3","created_at":"2026-05-18T01:26:49.278130+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7511","created_at":"2026-05-18T01:26:49.278130+00:00"},{"alias_kind":"pith_short_12","alias_value":"2BNBY5JIAQFN","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"2BNBY5JIAQFNOZKG","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"2BNBY5JI","created_at":"2026-05-18T12:28:09.283467+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/2BNBY5JIAQFNOZKGSOEFQR37RG","json":"https://pith.science/pith/2BNBY5JIAQFNOZKGSOEFQR37RG.json","graph_json":"https://pith.science/api/pith-number/2BNBY5JIAQFNOZKGSOEFQR37RG/graph.json","events_json":"https://pith.science/api/pith-number/2BNBY5JIAQFNOZKGSOEFQR37RG/events.json","paper":"https://pith.science/paper/2BNBY5JI"},"agent_actions":{"view_html":"https://pith.science/pith/2BNBY5JIAQFNOZKGSOEFQR37RG","download_json":"https://pith.science/pith/2BNBY5JIAQFNOZKGSOEFQR37RG.json","view_paper":"https://pith.science/paper/2BNBY5JI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.7511&json=true","fetch_graph":"https://pith.science/api/pith-number/2BNBY5JIAQFNOZKGSOEFQR37RG/graph.json","fetch_events":"https://pith.science/api/pith-number/2BNBY5JIAQFNOZKGSOEFQR37RG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2BNBY5JIAQFNOZKGSOEFQR37RG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2BNBY5JIAQFNOZKGSOEFQR37RG/action/storage_attestation","attest_author":"https://pith.science/pith/2BNBY5JIAQFNOZKGSOEFQR37RG/action/author_attestation","sign_citation":"https://pith.science/pith/2BNBY5JIAQFNOZKGSOEFQR37RG/action/citation_signature","submit_replication":"https://pith.science/pith/2BNBY5JIAQFNOZKGSOEFQR37RG/action/replication_record"}},"created_at":"2026-05-18T01:26:49.278130+00:00","updated_at":"2026-05-18T01:26:49.278130+00:00"}