{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:YPXDELX2L3X4V3P3TSAUFZGGTW","short_pith_number":"pith:YPXDELX2","schema_version":"1.0","canonical_sha256":"c3ee322efa5eefcaedfb9c8142e4c69db3fcbac7dd54ef0e342518a6e200bfc1","source":{"kind":"arxiv","id":"1612.04750","version":1},"attestation_state":"computed","paper":{"title":"Stationary Expansion Shocks for a Regularized Boussinesq System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"G. A. El, M. A. Hoefer, M. Shearer","submitted_at":"2016-12-14T17:52:56Z","abstract_excerpt":"Stationary expansion shocks have been recently identified as a new type of solution to hyperbolic conservation laws regularized by non-local dispersive terms that naturally arise in shallow-water theory. These expansion shocks were studied in (El, Hoefer, Shearer 2016) for the Benjamin-Bona-Mahony equation using matched asymptotic expansions. In this paper, we extend the analysis of (El, Hoefer, Shearer 2016) to the regularized Boussinesq system by using Riemann invariants of the underlying dispersionless shallow water equations. The extension for a system is non-trivial, requiring a combinati"},"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":"1612.04750","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-12-14T17:52:56Z","cross_cats_sorted":[],"title_canon_sha256":"60f4080177baf95023d217ad676aa70088daeb832c41d1acacbd7aedf0136284","abstract_canon_sha256":"523b3f138d3265d0ad9824b69654ac6f058bcff51713adc6cfa35b93c4414630"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:45.297632Z","signature_b64":"/UIPgsx86HDf+HQXrGmFZYcitjRuLf6Fee6ceTjMeyY3pX+G3n4qnBmkF/mFcJtBaPYCMrSb6f0ItdnLUpQPCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3ee322efa5eefcaedfb9c8142e4c69db3fcbac7dd54ef0e342518a6e200bfc1","last_reissued_at":"2026-05-18T00:31:45.297045Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:45.297045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stationary Expansion Shocks for a Regularized Boussinesq System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"G. A. El, M. A. Hoefer, M. Shearer","submitted_at":"2016-12-14T17:52:56Z","abstract_excerpt":"Stationary expansion shocks have been recently identified as a new type of solution to hyperbolic conservation laws regularized by non-local dispersive terms that naturally arise in shallow-water theory. These expansion shocks were studied in (El, Hoefer, Shearer 2016) for the Benjamin-Bona-Mahony equation using matched asymptotic expansions. In this paper, we extend the analysis of (El, Hoefer, Shearer 2016) to the regularized Boussinesq system by using Riemann invariants of the underlying dispersionless shallow water equations. The extension for a system is non-trivial, requiring a combinati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04750","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":"1612.04750","created_at":"2026-05-18T00:31:45.297139+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.04750v1","created_at":"2026-05-18T00:31:45.297139+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04750","created_at":"2026-05-18T00:31:45.297139+00:00"},{"alias_kind":"pith_short_12","alias_value":"YPXDELX2L3X4","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_16","alias_value":"YPXDELX2L3X4V3P3","created_at":"2026-05-18T12:30:53.716459+00:00"},{"alias_kind":"pith_short_8","alias_value":"YPXDELX2","created_at":"2026-05-18T12:30:53.716459+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/YPXDELX2L3X4V3P3TSAUFZGGTW","json":"https://pith.science/pith/YPXDELX2L3X4V3P3TSAUFZGGTW.json","graph_json":"https://pith.science/api/pith-number/YPXDELX2L3X4V3P3TSAUFZGGTW/graph.json","events_json":"https://pith.science/api/pith-number/YPXDELX2L3X4V3P3TSAUFZGGTW/events.json","paper":"https://pith.science/paper/YPXDELX2"},"agent_actions":{"view_html":"https://pith.science/pith/YPXDELX2L3X4V3P3TSAUFZGGTW","download_json":"https://pith.science/pith/YPXDELX2L3X4V3P3TSAUFZGGTW.json","view_paper":"https://pith.science/paper/YPXDELX2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.04750&json=true","fetch_graph":"https://pith.science/api/pith-number/YPXDELX2L3X4V3P3TSAUFZGGTW/graph.json","fetch_events":"https://pith.science/api/pith-number/YPXDELX2L3X4V3P3TSAUFZGGTW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YPXDELX2L3X4V3P3TSAUFZGGTW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YPXDELX2L3X4V3P3TSAUFZGGTW/action/storage_attestation","attest_author":"https://pith.science/pith/YPXDELX2L3X4V3P3TSAUFZGGTW/action/author_attestation","sign_citation":"https://pith.science/pith/YPXDELX2L3X4V3P3TSAUFZGGTW/action/citation_signature","submit_replication":"https://pith.science/pith/YPXDELX2L3X4V3P3TSAUFZGGTW/action/replication_record"}},"created_at":"2026-05-18T00:31:45.297139+00:00","updated_at":"2026-05-18T00:31:45.297139+00:00"}