{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:UK6Q33MJZXXAFKYHJ7Q25KBJZK","short_pith_number":"pith:UK6Q33MJ","schema_version":"1.0","canonical_sha256":"a2bd0ded89cdee02ab074fe1aea829cab44dbeea6c18a6e8a71d270a74620926","source":{"kind":"arxiv","id":"1105.1458","version":1},"attestation_state":"computed","paper":{"title":"Lorentz Transform and Staggered Finite Differences for Advective Acoustics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Eric Duceau, Fran\\c{c}ois Dubois (LM-Orsay), Fr\\'ed\\'eric Marechal, Isabelle Terrasse","submitted_at":"2011-05-07T16:26:31Z","abstract_excerpt":"We study acoustic wave propagation in a uniform stationary flow. We develop a method founded on the Lorentz transform and a hypothesis of irrotationality of the acoustic perturbation. After a transformation of the space-time and of the unknown fields, we derive a system of partial differential equations that eliminates the external flow and deals with the classical case of non advective acoustics. A sequel of the analysis is a new set of perfectly matched layers equations in the spirit of the work of Berenger and Collino. The numerical implementation of the previous ideas is presented with the"},"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":"1105.1458","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-05-07T16:26:31Z","cross_cats_sorted":[],"title_canon_sha256":"ce33e337d7e7acb172b24308e03b0363e817de3a12193c10dcc122a95e463391","abstract_canon_sha256":"76e3fd4d8af0bc8c6e40d53d03a73a3afa9899cc4b9679261a449ad4d20b3102"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:39.390208Z","signature_b64":"nAaIhFqRKP4J3B32wjIz03qoAG23lCJJdJOjVxX6dSUsUgi6ugoPD6kO2Ac2ncyQ9Ah0zpioAaotVp/9KxyUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2bd0ded89cdee02ab074fe1aea829cab44dbeea6c18a6e8a71d270a74620926","last_reissued_at":"2026-05-18T04:22:39.389840Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:39.389840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lorentz Transform and Staggered Finite Differences for Advective Acoustics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Eric Duceau, Fran\\c{c}ois Dubois (LM-Orsay), Fr\\'ed\\'eric Marechal, Isabelle Terrasse","submitted_at":"2011-05-07T16:26:31Z","abstract_excerpt":"We study acoustic wave propagation in a uniform stationary flow. We develop a method founded on the Lorentz transform and a hypothesis of irrotationality of the acoustic perturbation. After a transformation of the space-time and of the unknown fields, we derive a system of partial differential equations that eliminates the external flow and deals with the classical case of non advective acoustics. A sequel of the analysis is a new set of perfectly matched layers equations in the spirit of the work of Berenger and Collino. The numerical implementation of the previous ideas is presented with the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.1458","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":"1105.1458","created_at":"2026-05-18T04:22:39.389897+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.1458v1","created_at":"2026-05-18T04:22:39.389897+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.1458","created_at":"2026-05-18T04:22:39.389897+00:00"},{"alias_kind":"pith_short_12","alias_value":"UK6Q33MJZXXA","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"UK6Q33MJZXXAFKYH","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"UK6Q33MJ","created_at":"2026-05-18T12:26:42.757692+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/UK6Q33MJZXXAFKYHJ7Q25KBJZK","json":"https://pith.science/pith/UK6Q33MJZXXAFKYHJ7Q25KBJZK.json","graph_json":"https://pith.science/api/pith-number/UK6Q33MJZXXAFKYHJ7Q25KBJZK/graph.json","events_json":"https://pith.science/api/pith-number/UK6Q33MJZXXAFKYHJ7Q25KBJZK/events.json","paper":"https://pith.science/paper/UK6Q33MJ"},"agent_actions":{"view_html":"https://pith.science/pith/UK6Q33MJZXXAFKYHJ7Q25KBJZK","download_json":"https://pith.science/pith/UK6Q33MJZXXAFKYHJ7Q25KBJZK.json","view_paper":"https://pith.science/paper/UK6Q33MJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.1458&json=true","fetch_graph":"https://pith.science/api/pith-number/UK6Q33MJZXXAFKYHJ7Q25KBJZK/graph.json","fetch_events":"https://pith.science/api/pith-number/UK6Q33MJZXXAFKYHJ7Q25KBJZK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UK6Q33MJZXXAFKYHJ7Q25KBJZK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UK6Q33MJZXXAFKYHJ7Q25KBJZK/action/storage_attestation","attest_author":"https://pith.science/pith/UK6Q33MJZXXAFKYHJ7Q25KBJZK/action/author_attestation","sign_citation":"https://pith.science/pith/UK6Q33MJZXXAFKYHJ7Q25KBJZK/action/citation_signature","submit_replication":"https://pith.science/pith/UK6Q33MJZXXAFKYHJ7Q25KBJZK/action/replication_record"}},"created_at":"2026-05-18T04:22:39.389897+00:00","updated_at":"2026-05-18T04:22:39.389897+00:00"}