{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:HNC6PNNP3273TUUEBHLGHQTKAU","short_pith_number":"pith:HNC6PNNP","schema_version":"1.0","canonical_sha256":"3b45e7b5afdebfb9d28409d663c26a052a24988651c072a5a447c66e09ee610d","source":{"kind":"arxiv","id":"1806.02884","version":2},"attestation_state":"computed","paper":{"title":"Integral identities for reflection, transmission and scattering coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Andrew N. Norris","submitted_at":"2018-06-07T19:44:44Z","abstract_excerpt":"Several integral identities related to acoustic scattering are presented. In each case the identity involves the integral over frequency of a physical quantity. For instance, the integrated transmission loss, a measure of the transmitted acoustic energy through an inhomogeneous layer, is shown to have a simple expression in terms of spatially averaged physical quantities. Known identities for the extinction cross section and for the acoustic energy loss in a slab with a rigid backing, are shown to be special cases of a general procedure for finding such integral identities."},"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":"1806.02884","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-06-07T19:44:44Z","cross_cats_sorted":[],"title_canon_sha256":"022348d0ed618eedf1f68ab8f179d02736a7d19ab9e2aa9fbd82f5d1f8fddf50","abstract_canon_sha256":"eff56b7039d81a7cf18bec0c6db260b1995a9fb3715737732c14f9c533b68437"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:31.871907Z","signature_b64":"rxr3G5/EohG2KhyEtX120En/0BPfJIaXLg+M7dA7m3rW0vi9HBjnRzhxmgpCOJdTxTz9R/ZNmhoPQGj0RDyhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3b45e7b5afdebfb9d28409d663c26a052a24988651c072a5a447c66e09ee610d","last_reissued_at":"2026-05-18T00:03:31.871384Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:31.871384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Integral identities for reflection, transmission and scattering coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Andrew N. Norris","submitted_at":"2018-06-07T19:44:44Z","abstract_excerpt":"Several integral identities related to acoustic scattering are presented. In each case the identity involves the integral over frequency of a physical quantity. For instance, the integrated transmission loss, a measure of the transmitted acoustic energy through an inhomogeneous layer, is shown to have a simple expression in terms of spatially averaged physical quantities. Known identities for the extinction cross section and for the acoustic energy loss in a slab with a rigid backing, are shown to be special cases of a general procedure for finding such integral identities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.02884","kind":"arxiv","version":2},"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":"1806.02884","created_at":"2026-05-18T00:03:31.871483+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.02884v2","created_at":"2026-05-18T00:03:31.871483+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.02884","created_at":"2026-05-18T00:03:31.871483+00:00"},{"alias_kind":"pith_short_12","alias_value":"HNC6PNNP3273","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_16","alias_value":"HNC6PNNP3273TUUE","created_at":"2026-05-18T12:32:28.185984+00:00"},{"alias_kind":"pith_short_8","alias_value":"HNC6PNNP","created_at":"2026-05-18T12:32:28.185984+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/HNC6PNNP3273TUUEBHLGHQTKAU","json":"https://pith.science/pith/HNC6PNNP3273TUUEBHLGHQTKAU.json","graph_json":"https://pith.science/api/pith-number/HNC6PNNP3273TUUEBHLGHQTKAU/graph.json","events_json":"https://pith.science/api/pith-number/HNC6PNNP3273TUUEBHLGHQTKAU/events.json","paper":"https://pith.science/paper/HNC6PNNP"},"agent_actions":{"view_html":"https://pith.science/pith/HNC6PNNP3273TUUEBHLGHQTKAU","download_json":"https://pith.science/pith/HNC6PNNP3273TUUEBHLGHQTKAU.json","view_paper":"https://pith.science/paper/HNC6PNNP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.02884&json=true","fetch_graph":"https://pith.science/api/pith-number/HNC6PNNP3273TUUEBHLGHQTKAU/graph.json","fetch_events":"https://pith.science/api/pith-number/HNC6PNNP3273TUUEBHLGHQTKAU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HNC6PNNP3273TUUEBHLGHQTKAU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HNC6PNNP3273TUUEBHLGHQTKAU/action/storage_attestation","attest_author":"https://pith.science/pith/HNC6PNNP3273TUUEBHLGHQTKAU/action/author_attestation","sign_citation":"https://pith.science/pith/HNC6PNNP3273TUUEBHLGHQTKAU/action/citation_signature","submit_replication":"https://pith.science/pith/HNC6PNNP3273TUUEBHLGHQTKAU/action/replication_record"}},"created_at":"2026-05-18T00:03:31.871483+00:00","updated_at":"2026-05-18T00:03:31.871483+00:00"}