{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:3GA62TI4LGTCGQC3ZS7BIDFCRC","short_pith_number":"pith:3GA62TI4","schema_version":"1.0","canonical_sha256":"d981ed4d1c59a623405bccbe140ca28881576c94c8876c04e57cc84834103d2d","source":{"kind":"arxiv","id":"1705.09996","version":2},"attestation_state":"computed","paper":{"title":"Dispersive shock waves in systems with nonlocal dispersion of Benjamin-Ono type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"G.A. El, L.T.K. Nguyen, N.F. Smyth","submitted_at":"2017-05-28T22:17:21Z","abstract_excerpt":"We develop a general approach to the description of dispersive shock waves (DSWs) for a class of nonlinear wave equations with a nonlocal Benjamin-Ono type dispersion term involving the Hilbert transform. Integrability of the governing equation is not a pre-requisite for the application of this method which represents a modification of the DSW fitting method previously developed for dispersive-hydrodynamic systems of Korteweg-de Vries (KdV) type (i.e. reducible to the KdV equation in the weakly nonlinear, long wave, unidirectional approximation). The developed method is applied to the Calogero"},"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":"1705.09996","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-05-28T22:17:21Z","cross_cats_sorted":[],"title_canon_sha256":"bbeb8a22c9c6f15e64b18004cd9b30ff5317feb78d8e6fdb8df3667bd7299ff9","abstract_canon_sha256":"6f939785d2e6fb51884c6e0a6438bf2cd3cc69668941ad5861124936d7184af3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:06.115273Z","signature_b64":"viHQNwHdvhFQNrdQEGe0EqrivB9tqCZASKjsaNtB1iwhSwgcE55pk9MzDlILBQ/35/1Wbj84xYzCNPiEaDjUBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d981ed4d1c59a623405bccbe140ca28881576c94c8876c04e57cc84834103d2d","last_reissued_at":"2026-05-18T00:22:06.114779Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:06.114779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dispersive shock waves in systems with nonlocal dispersion of Benjamin-Ono type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"G.A. El, L.T.K. Nguyen, N.F. Smyth","submitted_at":"2017-05-28T22:17:21Z","abstract_excerpt":"We develop a general approach to the description of dispersive shock waves (DSWs) for a class of nonlinear wave equations with a nonlocal Benjamin-Ono type dispersion term involving the Hilbert transform. Integrability of the governing equation is not a pre-requisite for the application of this method which represents a modification of the DSW fitting method previously developed for dispersive-hydrodynamic systems of Korteweg-de Vries (KdV) type (i.e. reducible to the KdV equation in the weakly nonlinear, long wave, unidirectional approximation). The developed method is applied to the Calogero"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09996","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":"1705.09996","created_at":"2026-05-18T00:22:06.114851+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.09996v2","created_at":"2026-05-18T00:22:06.114851+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09996","created_at":"2026-05-18T00:22:06.114851+00:00"},{"alias_kind":"pith_short_12","alias_value":"3GA62TI4LGTC","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"3GA62TI4LGTCGQC3","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"3GA62TI4","created_at":"2026-05-18T12:30:58.224056+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/3GA62TI4LGTCGQC3ZS7BIDFCRC","json":"https://pith.science/pith/3GA62TI4LGTCGQC3ZS7BIDFCRC.json","graph_json":"https://pith.science/api/pith-number/3GA62TI4LGTCGQC3ZS7BIDFCRC/graph.json","events_json":"https://pith.science/api/pith-number/3GA62TI4LGTCGQC3ZS7BIDFCRC/events.json","paper":"https://pith.science/paper/3GA62TI4"},"agent_actions":{"view_html":"https://pith.science/pith/3GA62TI4LGTCGQC3ZS7BIDFCRC","download_json":"https://pith.science/pith/3GA62TI4LGTCGQC3ZS7BIDFCRC.json","view_paper":"https://pith.science/paper/3GA62TI4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.09996&json=true","fetch_graph":"https://pith.science/api/pith-number/3GA62TI4LGTCGQC3ZS7BIDFCRC/graph.json","fetch_events":"https://pith.science/api/pith-number/3GA62TI4LGTCGQC3ZS7BIDFCRC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3GA62TI4LGTCGQC3ZS7BIDFCRC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3GA62TI4LGTCGQC3ZS7BIDFCRC/action/storage_attestation","attest_author":"https://pith.science/pith/3GA62TI4LGTCGQC3ZS7BIDFCRC/action/author_attestation","sign_citation":"https://pith.science/pith/3GA62TI4LGTCGQC3ZS7BIDFCRC/action/citation_signature","submit_replication":"https://pith.science/pith/3GA62TI4LGTCGQC3ZS7BIDFCRC/action/replication_record"}},"created_at":"2026-05-18T00:22:06.114851+00:00","updated_at":"2026-05-18T00:22:06.114851+00:00"}