{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:3UEBHSH4L2UZRNIJPZHG56FK4J","short_pith_number":"pith:3UEBHSH4","schema_version":"1.0","canonical_sha256":"dd0813c8fc5ea998b5097e4e6ef8aae241fa5add4790f11e4ebda5c64c507d15","source":{"kind":"arxiv","id":"1811.09887","version":1},"attestation_state":"computed","paper":{"title":"Solitary Wave Propagation in Elastic Bars with Multiple Sections and Layers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"M. R. Tranter","submitted_at":"2018-11-24T20:00:04Z","abstract_excerpt":"In this paper we present a numerical scheme for solving a system of Boussinesq-type equations. This can correspond to longitudinal displacements in a multi-layered elastic bar with delamination, with conditions on the interface between the sections of the bar. The method is initially presented for two coupled equations in each section and multiple sections in the bar, and later extended to any number of layers. Previous works have presented a similar method constructed using finite-difference methods, however these only solved for two sections of the bar at a time which limited the scope of st"},"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":"1811.09887","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2018-11-24T20:00:04Z","cross_cats_sorted":[],"title_canon_sha256":"084225af78d1ac42257890c6cdf892393bee83d5e8b0da7ca712deeba1866e90","abstract_canon_sha256":"a17373a1d16d807914c9a36ae708fca67c25144871197c8079cf919d6a428341"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:14.705410Z","signature_b64":"wRs3Xrua9VsBiO6PMhZKsBMIgfLIYQgt1qsooJuYlnd6yhFMFuoqgMvldWfzfthbIQkrOeDouS0+VWlFDRbfDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd0813c8fc5ea998b5097e4e6ef8aae241fa5add4790f11e4ebda5c64c507d15","last_reissued_at":"2026-05-17T23:57:14.704873Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:14.704873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solitary Wave Propagation in Elastic Bars with Multiple Sections and Layers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"M. R. Tranter","submitted_at":"2018-11-24T20:00:04Z","abstract_excerpt":"In this paper we present a numerical scheme for solving a system of Boussinesq-type equations. This can correspond to longitudinal displacements in a multi-layered elastic bar with delamination, with conditions on the interface between the sections of the bar. The method is initially presented for two coupled equations in each section and multiple sections in the bar, and later extended to any number of layers. Previous works have presented a similar method constructed using finite-difference methods, however these only solved for two sections of the bar at a time which limited the scope of st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.09887","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":"1811.09887","created_at":"2026-05-17T23:57:14.704954+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.09887v1","created_at":"2026-05-17T23:57:14.704954+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.09887","created_at":"2026-05-17T23:57:14.704954+00:00"},{"alias_kind":"pith_short_12","alias_value":"3UEBHSH4L2UZ","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"3UEBHSH4L2UZRNIJ","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"3UEBHSH4","created_at":"2026-05-18T12:32:05.422762+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/3UEBHSH4L2UZRNIJPZHG56FK4J","json":"https://pith.science/pith/3UEBHSH4L2UZRNIJPZHG56FK4J.json","graph_json":"https://pith.science/api/pith-number/3UEBHSH4L2UZRNIJPZHG56FK4J/graph.json","events_json":"https://pith.science/api/pith-number/3UEBHSH4L2UZRNIJPZHG56FK4J/events.json","paper":"https://pith.science/paper/3UEBHSH4"},"agent_actions":{"view_html":"https://pith.science/pith/3UEBHSH4L2UZRNIJPZHG56FK4J","download_json":"https://pith.science/pith/3UEBHSH4L2UZRNIJPZHG56FK4J.json","view_paper":"https://pith.science/paper/3UEBHSH4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.09887&json=true","fetch_graph":"https://pith.science/api/pith-number/3UEBHSH4L2UZRNIJPZHG56FK4J/graph.json","fetch_events":"https://pith.science/api/pith-number/3UEBHSH4L2UZRNIJPZHG56FK4J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3UEBHSH4L2UZRNIJPZHG56FK4J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3UEBHSH4L2UZRNIJPZHG56FK4J/action/storage_attestation","attest_author":"https://pith.science/pith/3UEBHSH4L2UZRNIJPZHG56FK4J/action/author_attestation","sign_citation":"https://pith.science/pith/3UEBHSH4L2UZRNIJPZHG56FK4J/action/citation_signature","submit_replication":"https://pith.science/pith/3UEBHSH4L2UZRNIJPZHG56FK4J/action/replication_record"}},"created_at":"2026-05-17T23:57:14.704954+00:00","updated_at":"2026-05-17T23:57:14.704954+00:00"}