{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:HB5DOLIBWNMCU4QW4Q4EL7YS5B","short_pith_number":"pith:HB5DOLIB","canonical_record":{"source":{"id":"2008.11981","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-08-27T08:13:43Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"565cb171feb14f86e8038c831295289eea02646b37d57d386341542b666cb66f","abstract_canon_sha256":"11a4365f95879fe20a5bbeb636c733d6c2c843b2706f236733d88da612637e2b"},"schema_version":"1.0"},"canonical_sha256":"387a372d01b3582a7216e43845ff12e86c4406d9a23ccc9b104d47dbba3c4279","source":{"kind":"arxiv","id":"2008.11981","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.11981","created_at":"2026-07-05T02:02:43Z"},{"alias_kind":"arxiv_version","alias_value":"2008.11981v2","created_at":"2026-07-05T02:02:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.11981","created_at":"2026-07-05T02:02:43Z"},{"alias_kind":"pith_short_12","alias_value":"HB5DOLIBWNMC","created_at":"2026-07-05T02:02:43Z"},{"alias_kind":"pith_short_16","alias_value":"HB5DOLIBWNMCU4QW","created_at":"2026-07-05T02:02:43Z"},{"alias_kind":"pith_short_8","alias_value":"HB5DOLIB","created_at":"2026-07-05T02:02:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:HB5DOLIBWNMCU4QW4Q4EL7YS5B","target":"record","payload":{"canonical_record":{"source":{"id":"2008.11981","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-08-27T08:13:43Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"565cb171feb14f86e8038c831295289eea02646b37d57d386341542b666cb66f","abstract_canon_sha256":"11a4365f95879fe20a5bbeb636c733d6c2c843b2706f236733d88da612637e2b"},"schema_version":"1.0"},"canonical_sha256":"387a372d01b3582a7216e43845ff12e86c4406d9a23ccc9b104d47dbba3c4279","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:02:43.943005Z","signature_b64":"2JYWoOVvSZdIStXG/juDYykKhWhpGOo3nh4ed9nnvaUqXChwHqlsDsvrTpBK19iAtorYOTNyZo3K1fhkbvxtBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"387a372d01b3582a7216e43845ff12e86c4406d9a23ccc9b104d47dbba3c4279","last_reissued_at":"2026-07-05T02:02:43.942476Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:02:43.942476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2008.11981","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:02:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rdob3/5pqiadUpv9h8c/2gstWJob/DimAGGL29Am+lbxmuY+pHiPbxDrjTCuaatQP1jIrkFU+6Ks7OT8/cHKBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T01:18:07.627496Z"},"content_sha256":"9e94e49ebf1a835c892d65afb7c3f6672b311beca2641c80716050d013fb0b2d","schema_version":"1.0","event_id":"sha256:9e94e49ebf1a835c892d65afb7c3f6672b311beca2641c80716050d013fb0b2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:HB5DOLIBWNMCU4QW4Q4EL7YS5B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new perspective on flux and slope limiting in discontinuous Galerkin methods for hyperbolic conservation laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Dmitri Kuzmin","submitted_at":"2020-08-27T08:13:43Z","abstract_excerpt":"In this work, we discuss and develop multidimensional limiting techniques for discontinuous Galerkin (DG) discretizations of scalar hyperbolic problems. To ensure that each cell average satisfies a local discrete maximum principle (DMP), we impose inequality constraints on the local Lax-Friedrichs fluxes of a piecewise-linear (P1) approximation. Since the piecewise-constant (P0) version corresponds to a property-preserving low-order finite volume method, the validity of DMP conditions can always be enforced using slope and/or flux limiters. We show that the (currently rather uncommon) use of d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.11981","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2008.11981/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:02:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9bEJ/rK66simGXrVvsK3UUeultVayIEKMP02j9BgqMRWzQ1tjRSpHHfaxmsJf1vvoNYYfGcENKCqMrIfdy6EDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T01:18:07.627870Z"},"content_sha256":"07d7235052e98cf413e09e78cd3e87c369a25e140180a1841f670b717110f59b","schema_version":"1.0","event_id":"sha256:07d7235052e98cf413e09e78cd3e87c369a25e140180a1841f670b717110f59b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HB5DOLIBWNMCU4QW4Q4EL7YS5B/bundle.json","state_url":"https://pith.science/pith/HB5DOLIBWNMCU4QW4Q4EL7YS5B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HB5DOLIBWNMCU4QW4Q4EL7YS5B/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-17T01:18:07Z","links":{"resolver":"https://pith.science/pith/HB5DOLIBWNMCU4QW4Q4EL7YS5B","bundle":"https://pith.science/pith/HB5DOLIBWNMCU4QW4Q4EL7YS5B/bundle.json","state":"https://pith.science/pith/HB5DOLIBWNMCU4QW4Q4EL7YS5B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HB5DOLIBWNMCU4QW4Q4EL7YS5B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:HB5DOLIBWNMCU4QW4Q4EL7YS5B","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"11a4365f95879fe20a5bbeb636c733d6c2c843b2706f236733d88da612637e2b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-08-27T08:13:43Z","title_canon_sha256":"565cb171feb14f86e8038c831295289eea02646b37d57d386341542b666cb66f"},"schema_version":"1.0","source":{"id":"2008.11981","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.11981","created_at":"2026-07-05T02:02:43Z"},{"alias_kind":"arxiv_version","alias_value":"2008.11981v2","created_at":"2026-07-05T02:02:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.11981","created_at":"2026-07-05T02:02:43Z"},{"alias_kind":"pith_short_12","alias_value":"HB5DOLIBWNMC","created_at":"2026-07-05T02:02:43Z"},{"alias_kind":"pith_short_16","alias_value":"HB5DOLIBWNMCU4QW","created_at":"2026-07-05T02:02:43Z"},{"alias_kind":"pith_short_8","alias_value":"HB5DOLIB","created_at":"2026-07-05T02:02:43Z"}],"graph_snapshots":[{"event_id":"sha256:07d7235052e98cf413e09e78cd3e87c369a25e140180a1841f670b717110f59b","target":"graph","created_at":"2026-07-05T02:02:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2008.11981/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we discuss and develop multidimensional limiting techniques for discontinuous Galerkin (DG) discretizations of scalar hyperbolic problems. To ensure that each cell average satisfies a local discrete maximum principle (DMP), we impose inequality constraints on the local Lax-Friedrichs fluxes of a piecewise-linear (P1) approximation. Since the piecewise-constant (P0) version corresponds to a property-preserving low-order finite volume method, the validity of DMP conditions can always be enforced using slope and/or flux limiters. We show that the (currently rather uncommon) use of d","authors_text":"Dmitri Kuzmin","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-08-27T08:13:43Z","title":"A new perspective on flux and slope limiting in discontinuous Galerkin methods for hyperbolic conservation laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.11981","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9e94e49ebf1a835c892d65afb7c3f6672b311beca2641c80716050d013fb0b2d","target":"record","created_at":"2026-07-05T02:02:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"11a4365f95879fe20a5bbeb636c733d6c2c843b2706f236733d88da612637e2b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-08-27T08:13:43Z","title_canon_sha256":"565cb171feb14f86e8038c831295289eea02646b37d57d386341542b666cb66f"},"schema_version":"1.0","source":{"id":"2008.11981","kind":"arxiv","version":2}},"canonical_sha256":"387a372d01b3582a7216e43845ff12e86c4406d9a23ccc9b104d47dbba3c4279","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"387a372d01b3582a7216e43845ff12e86c4406d9a23ccc9b104d47dbba3c4279","first_computed_at":"2026-07-05T02:02:43.942476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:02:43.942476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2JYWoOVvSZdIStXG/juDYykKhWhpGOo3nh4ed9nnvaUqXChwHqlsDsvrTpBK19iAtorYOTNyZo3K1fhkbvxtBA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:02:43.943005Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.11981","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e94e49ebf1a835c892d65afb7c3f6672b311beca2641c80716050d013fb0b2d","sha256:07d7235052e98cf413e09e78cd3e87c369a25e140180a1841f670b717110f59b"],"state_sha256":"5d45a9c75ba59671b6fbe4224b5ad865dc7bc5b86373fc26bfd05838bf896070"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GVCxraDqntsVj6LKzAnJOT/jhMGftP9VMagu+9b7DTZYIXOHI5LAwwLogyB83EWxOB8Avdh7gKhN7jA+FStuDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-17T01:18:07.630211Z","bundle_sha256":"9677fb0fe267f9a7e48e637b5d147138f3153061240ddfdaa4b3077fb2791446"}}