{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:OZTHFM4EM24VNCT6JONQG6XTUY","short_pith_number":"pith:OZTHFM4E","schema_version":"1.0","canonical_sha256":"766672b38466b9568a7e4b9b037af3a634c515ba4744cbe0c06e17d41ddda2f6","source":{"kind":"arxiv","id":"1710.07602","version":1},"attestation_state":"computed","paper":{"title":"Second order Implicit-Explicit Total Variation Diminishing schemes for the Euler system in the low Mach regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Giacomo Dimarco, Marie-H\\'el\\`ene Vignal, Rapha\\\"el Loub\\`ere, Victor Michel-Dansac","submitted_at":"2017-10-20T16:48:50Z","abstract_excerpt":"In this work, we consider the development of implicit explicit total variation diminishing (TVD) methods (also termed SSP: strong stability preserving) for the compressible isentropic Euler system in the low Mach number regime. The scheme proposed is asymptotically stable with a CFL condition independent from the Mach number and it degenerates in the low Mach number regime to a consistent discretization of the incompressible system. Since, it has been proved that implicit schemes of order higher than one cannot be TVD (SSP) \\cite{GotShuTad}, we construct a new paradigm of implicit time integra"},"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":"1710.07602","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-20T16:48:50Z","cross_cats_sorted":[],"title_canon_sha256":"f4388d0ab60ffa501075b4b6225a2234d42f0a97fc90124165ed51103b75a029","abstract_canon_sha256":"14da094f18d219eacb8691816261f1c7a0edad373c5e8fbcd16c100e8c13f792"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:19.534614Z","signature_b64":"fxkIVXGNKEcTpIUUUVTvKesjTd+rdZCqVo+308Z2u4ZFjzpVpaD0DhB6crl5d+YXFkn9BIuGX7U4lycJw+OkDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"766672b38466b9568a7e4b9b037af3a634c515ba4744cbe0c06e17d41ddda2f6","last_reissued_at":"2026-05-18T00:09:19.533896Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:19.533896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Second order Implicit-Explicit Total Variation Diminishing schemes for the Euler system in the low Mach regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Giacomo Dimarco, Marie-H\\'el\\`ene Vignal, Rapha\\\"el Loub\\`ere, Victor Michel-Dansac","submitted_at":"2017-10-20T16:48:50Z","abstract_excerpt":"In this work, we consider the development of implicit explicit total variation diminishing (TVD) methods (also termed SSP: strong stability preserving) for the compressible isentropic Euler system in the low Mach number regime. The scheme proposed is asymptotically stable with a CFL condition independent from the Mach number and it degenerates in the low Mach number regime to a consistent discretization of the incompressible system. Since, it has been proved that implicit schemes of order higher than one cannot be TVD (SSP) \\cite{GotShuTad}, we construct a new paradigm of implicit time integra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07602","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":"1710.07602","created_at":"2026-05-18T00:09:19.534021+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.07602v1","created_at":"2026-05-18T00:09:19.534021+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07602","created_at":"2026-05-18T00:09:19.534021+00:00"},{"alias_kind":"pith_short_12","alias_value":"OZTHFM4EM24V","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_16","alias_value":"OZTHFM4EM24VNCT6","created_at":"2026-05-18T12:31:37.085036+00:00"},{"alias_kind":"pith_short_8","alias_value":"OZTHFM4E","created_at":"2026-05-18T12:31:37.085036+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/OZTHFM4EM24VNCT6JONQG6XTUY","json":"https://pith.science/pith/OZTHFM4EM24VNCT6JONQG6XTUY.json","graph_json":"https://pith.science/api/pith-number/OZTHFM4EM24VNCT6JONQG6XTUY/graph.json","events_json":"https://pith.science/api/pith-number/OZTHFM4EM24VNCT6JONQG6XTUY/events.json","paper":"https://pith.science/paper/OZTHFM4E"},"agent_actions":{"view_html":"https://pith.science/pith/OZTHFM4EM24VNCT6JONQG6XTUY","download_json":"https://pith.science/pith/OZTHFM4EM24VNCT6JONQG6XTUY.json","view_paper":"https://pith.science/paper/OZTHFM4E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.07602&json=true","fetch_graph":"https://pith.science/api/pith-number/OZTHFM4EM24VNCT6JONQG6XTUY/graph.json","fetch_events":"https://pith.science/api/pith-number/OZTHFM4EM24VNCT6JONQG6XTUY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OZTHFM4EM24VNCT6JONQG6XTUY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OZTHFM4EM24VNCT6JONQG6XTUY/action/storage_attestation","attest_author":"https://pith.science/pith/OZTHFM4EM24VNCT6JONQG6XTUY/action/author_attestation","sign_citation":"https://pith.science/pith/OZTHFM4EM24VNCT6JONQG6XTUY/action/citation_signature","submit_replication":"https://pith.science/pith/OZTHFM4EM24VNCT6JONQG6XTUY/action/replication_record"}},"created_at":"2026-05-18T00:09:19.534021+00:00","updated_at":"2026-05-18T00:09:19.534021+00:00"}