{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:FHIAMOIZVRDKXFIRYYAI6G76FE","short_pith_number":"pith:FHIAMOIZ","schema_version":"1.0","canonical_sha256":"29d0063919ac46ab9511c6008f1bfe291bc1c914f9bb85d56e9c3113909d1551","source":{"kind":"arxiv","id":"1608.02632","version":1},"attestation_state":"computed","paper":{"title":"Oblique spatial dispersive shock waves in nonlinear Schr\\\"odinger flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"A. M. Kamchatnov, G. A. El, M. A. Hoefer","submitted_at":"2016-08-08T21:44:58Z","abstract_excerpt":"In dispersive media, hydrodynamic singularities are resolved by coherent wavetrains known as dispersive shock waves (DSWs). Only dynamically expanding, temporal DSWs are possible in one-dimensional media. The additional degree of freedom inherent in two-dimensional media allows for the generation of time-independent DSWs that exhibit spatial expansion. Spatial oblique DSWs, dispersive analogs of oblique shocks in classical media, are constructed utilizing Whitham modulation theory for a class of nonlinear Schr\\\"{o}dinger boundary value problems. Self-similar, simple wave solutions of the modul"},"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":"1608.02632","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-08-08T21:44:58Z","cross_cats_sorted":[],"title_canon_sha256":"18869c07840e76d33741dae2d8eeeec27e4f9a2e18d3e2595cbbcdc58bf01592","abstract_canon_sha256":"d93516ad95191bea368f0fdf18ded3883f39fbe89da0a2c564c9a1e4570baa6a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:45.403296Z","signature_b64":"1L0XWEG/kRlh9efHM9qcwJ8Ru2ZjqjKNRBZ23Q6QOqGwHqnupxatdKeizM0pYYnHwDexMOAQzHAW3WHlFtwLBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29d0063919ac46ab9511c6008f1bfe291bc1c914f9bb85d56e9c3113909d1551","last_reissued_at":"2026-05-18T00:31:45.402427Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:45.402427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Oblique spatial dispersive shock waves in nonlinear Schr\\\"odinger flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"A. M. Kamchatnov, G. A. El, M. A. Hoefer","submitted_at":"2016-08-08T21:44:58Z","abstract_excerpt":"In dispersive media, hydrodynamic singularities are resolved by coherent wavetrains known as dispersive shock waves (DSWs). Only dynamically expanding, temporal DSWs are possible in one-dimensional media. The additional degree of freedom inherent in two-dimensional media allows for the generation of time-independent DSWs that exhibit spatial expansion. Spatial oblique DSWs, dispersive analogs of oblique shocks in classical media, are constructed utilizing Whitham modulation theory for a class of nonlinear Schr\\\"{o}dinger boundary value problems. Self-similar, simple wave solutions of the modul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.02632","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":"1608.02632","created_at":"2026-05-18T00:31:45.402576+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.02632v1","created_at":"2026-05-18T00:31:45.402576+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.02632","created_at":"2026-05-18T00:31:45.402576+00:00"},{"alias_kind":"pith_short_12","alias_value":"FHIAMOIZVRDK","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"FHIAMOIZVRDKXFIR","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"FHIAMOIZ","created_at":"2026-05-18T12:30:15.759754+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/FHIAMOIZVRDKXFIRYYAI6G76FE","json":"https://pith.science/pith/FHIAMOIZVRDKXFIRYYAI6G76FE.json","graph_json":"https://pith.science/api/pith-number/FHIAMOIZVRDKXFIRYYAI6G76FE/graph.json","events_json":"https://pith.science/api/pith-number/FHIAMOIZVRDKXFIRYYAI6G76FE/events.json","paper":"https://pith.science/paper/FHIAMOIZ"},"agent_actions":{"view_html":"https://pith.science/pith/FHIAMOIZVRDKXFIRYYAI6G76FE","download_json":"https://pith.science/pith/FHIAMOIZVRDKXFIRYYAI6G76FE.json","view_paper":"https://pith.science/paper/FHIAMOIZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.02632&json=true","fetch_graph":"https://pith.science/api/pith-number/FHIAMOIZVRDKXFIRYYAI6G76FE/graph.json","fetch_events":"https://pith.science/api/pith-number/FHIAMOIZVRDKXFIRYYAI6G76FE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FHIAMOIZVRDKXFIRYYAI6G76FE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FHIAMOIZVRDKXFIRYYAI6G76FE/action/storage_attestation","attest_author":"https://pith.science/pith/FHIAMOIZVRDKXFIRYYAI6G76FE/action/author_attestation","sign_citation":"https://pith.science/pith/FHIAMOIZVRDKXFIRYYAI6G76FE/action/citation_signature","submit_replication":"https://pith.science/pith/FHIAMOIZVRDKXFIRYYAI6G76FE/action/replication_record"}},"created_at":"2026-05-18T00:31:45.402576+00:00","updated_at":"2026-05-18T00:31:45.402576+00:00"}