{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:DJN75IYQKNCFIDBPESQS2ZBZT2","short_pith_number":"pith:DJN75IYQ","schema_version":"1.0","canonical_sha256":"1a5bfea3105344540c2f24a12d64399ea320537871929a0867bd94041967189a","source":{"kind":"arxiv","id":"1904.04538","version":1},"attestation_state":"computed","paper":{"title":"A uniformly and optimally accurate method for the Klein-Gordon-Zakharov system in simultaneous high-plasma-frequency and subsonic limit regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Chunmei Su, Xiaofei Zhao","submitted_at":"2019-04-09T08:50:50Z","abstract_excerpt":"We present a uniformly and optimally accurate numerical method for solving the Klein-Gordon-Zakharov (KGZ) system with two dimensionless parameters $0<\\epsilon\\le1$ and $0<\\gamma\\le 1$, which are inversely proportional to the plasma frequency and the acoustic speed, respectively. In the simultaneous high-plasma-frequency and subsonic limit regime, i.e. $\\epsilon<\\gamma\\to 0^+$, the KGZ system collapses to a cubic Schr\\\"odinger equation, and the solution propagates waves with $O(\\epsilon^2)$-wavelength in time and meanwhile contains rapid outgoing initial layers with speed $O(1/\\gamma)$ in spac"},"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":"1904.04538","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-04-09T08:50:50Z","cross_cats_sorted":[],"title_canon_sha256":"19dd7ea3d04779ad6fb86b2610b9a2d955cea4a9b58a85cdb7d1bc88906c2c68","abstract_canon_sha256":"f0e7867bf00fd9a2062727e4f9ce464616287b1dab476b8a8a349ad967735aa8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:58.798456Z","signature_b64":"fil5XCvhdbM+LsRu1NLaRktbjDh3kgpXdA3lP4rVLRq4Lh6o+H8Pchx63+0CMS214fgiAf+IKjijhuKhYmQ0Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a5bfea3105344540c2f24a12d64399ea320537871929a0867bd94041967189a","last_reissued_at":"2026-05-17T23:48:58.798073Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:58.798073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A uniformly and optimally accurate method for the Klein-Gordon-Zakharov system in simultaneous high-plasma-frequency and subsonic limit regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Chunmei Su, Xiaofei Zhao","submitted_at":"2019-04-09T08:50:50Z","abstract_excerpt":"We present a uniformly and optimally accurate numerical method for solving the Klein-Gordon-Zakharov (KGZ) system with two dimensionless parameters $0<\\epsilon\\le1$ and $0<\\gamma\\le 1$, which are inversely proportional to the plasma frequency and the acoustic speed, respectively. In the simultaneous high-plasma-frequency and subsonic limit regime, i.e. $\\epsilon<\\gamma\\to 0^+$, the KGZ system collapses to a cubic Schr\\\"odinger equation, and the solution propagates waves with $O(\\epsilon^2)$-wavelength in time and meanwhile contains rapid outgoing initial layers with speed $O(1/\\gamma)$ in spac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.04538","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":"1904.04538","created_at":"2026-05-17T23:48:58.798143+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.04538v1","created_at":"2026-05-17T23:48:58.798143+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.04538","created_at":"2026-05-17T23:48:58.798143+00:00"},{"alias_kind":"pith_short_12","alias_value":"DJN75IYQKNCF","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_16","alias_value":"DJN75IYQKNCFIDBP","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_8","alias_value":"DJN75IYQ","created_at":"2026-05-18T12:33:15.570797+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/DJN75IYQKNCFIDBPESQS2ZBZT2","json":"https://pith.science/pith/DJN75IYQKNCFIDBPESQS2ZBZT2.json","graph_json":"https://pith.science/api/pith-number/DJN75IYQKNCFIDBPESQS2ZBZT2/graph.json","events_json":"https://pith.science/api/pith-number/DJN75IYQKNCFIDBPESQS2ZBZT2/events.json","paper":"https://pith.science/paper/DJN75IYQ"},"agent_actions":{"view_html":"https://pith.science/pith/DJN75IYQKNCFIDBPESQS2ZBZT2","download_json":"https://pith.science/pith/DJN75IYQKNCFIDBPESQS2ZBZT2.json","view_paper":"https://pith.science/paper/DJN75IYQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.04538&json=true","fetch_graph":"https://pith.science/api/pith-number/DJN75IYQKNCFIDBPESQS2ZBZT2/graph.json","fetch_events":"https://pith.science/api/pith-number/DJN75IYQKNCFIDBPESQS2ZBZT2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DJN75IYQKNCFIDBPESQS2ZBZT2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DJN75IYQKNCFIDBPESQS2ZBZT2/action/storage_attestation","attest_author":"https://pith.science/pith/DJN75IYQKNCFIDBPESQS2ZBZT2/action/author_attestation","sign_citation":"https://pith.science/pith/DJN75IYQKNCFIDBPESQS2ZBZT2/action/citation_signature","submit_replication":"https://pith.science/pith/DJN75IYQKNCFIDBPESQS2ZBZT2/action/replication_record"}},"created_at":"2026-05-17T23:48:58.798143+00:00","updated_at":"2026-05-17T23:48:58.798143+00:00"}