{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:DFGCQTYELFUX2LQEHZ3L4WEQV6","short_pith_number":"pith:DFGCQTYE","schema_version":"1.0","canonical_sha256":"194c284f0459697d2e043e76be5890af8941ec60011b61a8f097d1a946c1922b","source":{"kind":"arxiv","id":"1804.08829","version":1},"attestation_state":"computed","paper":{"title":"Invariant-region-preserving DG methods for multi-dimensional hyperbolic conservation law systems, with an application to compressible Euler equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Hailiang Liu, Yi Jiang","submitted_at":"2018-04-24T03:36:12Z","abstract_excerpt":"An invariant-region-preserving (IRP) limiter for multi-dimensional hyperbolic conservation law systems is introduced, as long as the system admits a global invariant region which is a convex set in the phase space. It is shown that the order of approximation accuracy is not destroyed by the IRP limiter, provided the cell average is away from the boundary of the convex set. Moreover, this limiter is explicit, and easy for computer implementation. A generic algorithm incorporating the IRP limiter is presented for high order finite volume type schemes. For arbitrarily high order discontinuous Gal"},"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":"1804.08829","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-04-24T03:36:12Z","cross_cats_sorted":[],"title_canon_sha256":"96b450bd7dfdb3c17d499c188bd959940b00eedb8f05701559ea3957ad60d61d","abstract_canon_sha256":"4075d6bb90a4ef95b3783fbed2cf0137eeb44a9f0ecd9c2f8d68e9958d0e1db5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:37.192323Z","signature_b64":"O3VzpF1dbtEhv/bQMPVeTq/NX6JWhbMAx0a81AmGooPlIpqgL9hjNQmORg63MFd646jl+LuQ6lT3vvHLCD/TCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"194c284f0459697d2e043e76be5890af8941ec60011b61a8f097d1a946c1922b","last_reissued_at":"2026-05-18T00:17:37.191629Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:37.191629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Invariant-region-preserving DG methods for multi-dimensional hyperbolic conservation law systems, with an application to compressible Euler equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Hailiang Liu, Yi Jiang","submitted_at":"2018-04-24T03:36:12Z","abstract_excerpt":"An invariant-region-preserving (IRP) limiter for multi-dimensional hyperbolic conservation law systems is introduced, as long as the system admits a global invariant region which is a convex set in the phase space. It is shown that the order of approximation accuracy is not destroyed by the IRP limiter, provided the cell average is away from the boundary of the convex set. Moreover, this limiter is explicit, and easy for computer implementation. A generic algorithm incorporating the IRP limiter is presented for high order finite volume type schemes. For arbitrarily high order discontinuous Gal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08829","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":"1804.08829","created_at":"2026-05-18T00:17:37.191739+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.08829v1","created_at":"2026-05-18T00:17:37.191739+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08829","created_at":"2026-05-18T00:17:37.191739+00:00"},{"alias_kind":"pith_short_12","alias_value":"DFGCQTYELFUX","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_16","alias_value":"DFGCQTYELFUX2LQE","created_at":"2026-05-18T12:32:19.392346+00:00"},{"alias_kind":"pith_short_8","alias_value":"DFGCQTYE","created_at":"2026-05-18T12:32:19.392346+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/DFGCQTYELFUX2LQEHZ3L4WEQV6","json":"https://pith.science/pith/DFGCQTYELFUX2LQEHZ3L4WEQV6.json","graph_json":"https://pith.science/api/pith-number/DFGCQTYELFUX2LQEHZ3L4WEQV6/graph.json","events_json":"https://pith.science/api/pith-number/DFGCQTYELFUX2LQEHZ3L4WEQV6/events.json","paper":"https://pith.science/paper/DFGCQTYE"},"agent_actions":{"view_html":"https://pith.science/pith/DFGCQTYELFUX2LQEHZ3L4WEQV6","download_json":"https://pith.science/pith/DFGCQTYELFUX2LQEHZ3L4WEQV6.json","view_paper":"https://pith.science/paper/DFGCQTYE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.08829&json=true","fetch_graph":"https://pith.science/api/pith-number/DFGCQTYELFUX2LQEHZ3L4WEQV6/graph.json","fetch_events":"https://pith.science/api/pith-number/DFGCQTYELFUX2LQEHZ3L4WEQV6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DFGCQTYELFUX2LQEHZ3L4WEQV6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DFGCQTYELFUX2LQEHZ3L4WEQV6/action/storage_attestation","attest_author":"https://pith.science/pith/DFGCQTYELFUX2LQEHZ3L4WEQV6/action/author_attestation","sign_citation":"https://pith.science/pith/DFGCQTYELFUX2LQEHZ3L4WEQV6/action/citation_signature","submit_replication":"https://pith.science/pith/DFGCQTYELFUX2LQEHZ3L4WEQV6/action/replication_record"}},"created_at":"2026-05-18T00:17:37.191739+00:00","updated_at":"2026-05-18T00:17:37.191739+00:00"}