{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EQM5G5LFLUQRXNOJXDGSC62P2M","short_pith_number":"pith:EQM5G5LF","canonical_record":{"source":{"id":"1712.03445","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-09T22:08:18Z","cross_cats_sorted":[],"title_canon_sha256":"9465f66cab71eace801c1772badd1ecd8039e831ad88ae074c2d6090d6e6eb18","abstract_canon_sha256":"e053bc13d6fd8534f48213213dae4b89177f56bc8c2b19a3c82306530bc155b5"},"schema_version":"1.0"},"canonical_sha256":"2419d375655d211bb5c9b8cd217b4fd3180e5bfcbc4c7d9a9f74216e41d66800","source":{"kind":"arxiv","id":"1712.03445","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.03445","created_at":"2026-05-18T00:16:29Z"},{"alias_kind":"arxiv_version","alias_value":"1712.03445v2","created_at":"2026-05-18T00:16:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03445","created_at":"2026-05-18T00:16:29Z"},{"alias_kind":"pith_short_12","alias_value":"EQM5G5LFLUQR","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EQM5G5LFLUQRXNOJ","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EQM5G5LF","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EQM5G5LFLUQRXNOJXDGSC62P2M","target":"record","payload":{"canonical_record":{"source":{"id":"1712.03445","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-09T22:08:18Z","cross_cats_sorted":[],"title_canon_sha256":"9465f66cab71eace801c1772badd1ecd8039e831ad88ae074c2d6090d6e6eb18","abstract_canon_sha256":"e053bc13d6fd8534f48213213dae4b89177f56bc8c2b19a3c82306530bc155b5"},"schema_version":"1.0"},"canonical_sha256":"2419d375655d211bb5c9b8cd217b4fd3180e5bfcbc4c7d9a9f74216e41d66800","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:29.909445Z","signature_b64":"Rpuq1Nj9FUe6R06wBgxTBGpiE75YrrZRi+ZBf9taoUGT5mTwB8LLiLGhbv5RV++qdKqASIy8lp1JBmUtH6NSBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2419d375655d211bb5c9b8cd217b4fd3180e5bfcbc4c7d9a9f74216e41d66800","last_reissued_at":"2026-05-18T00:16:29.908693Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:29.908693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.03445","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":"2026-05-18T00:16:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RQr3r026dtZW6hYyFK64l9GHoK931RQ0t8SxUOiVPob2U+KqMq6Qul07ZI8T1RgrPP9O2oexw9G/FubIgfcVDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:52:58.272191Z"},"content_sha256":"b213b807dabc7a657c16076c84e3877fabf5b82d1a1a5dca9b04588609683646","schema_version":"1.0","event_id":"sha256:b213b807dabc7a657c16076c84e3877fabf5b82d1a1a5dca9b04588609683646"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EQM5G5LFLUQRXNOJXDGSC62P2M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Matthew J. Zahr, Per-Olof Persson","submitted_at":"2017-12-09T22:08:18Z","abstract_excerpt":"This work introduces a novel discontinuity-tracking framework for resolving discontinuous solutions of conservation laws with high-order numerical discretizations that support inter-element solution discontinuities, such as discontinuous Galerkin methods. The proposed method aims to align inter-element boundaries with discontinuities in the solution by deforming the computational mesh. A discontinuity-aligned mesh ensures the discontinuity is represented through inter-element jumps while smooth basis functions interior to elements are only used to approximate smooth regions of the solution, th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03445","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":""},"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":"2026-05-18T00:16:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sGJDGxib6pyH7ENLckgZLwntBMPMCpK3qvw3MK6tvDIUahVCXBfXh7tdgtEdztUe8zDGsVfOiYxkNdhO2h3EDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:52:58.272543Z"},"content_sha256":"a05797e6e323ddb37f52e0695c050a7fff10a6404fc62b5967bdb5c70203f72b","schema_version":"1.0","event_id":"sha256:a05797e6e323ddb37f52e0695c050a7fff10a6404fc62b5967bdb5c70203f72b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EQM5G5LFLUQRXNOJXDGSC62P2M/bundle.json","state_url":"https://pith.science/pith/EQM5G5LFLUQRXNOJXDGSC62P2M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EQM5G5LFLUQRXNOJXDGSC62P2M/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":"2026-06-02T20:52:58Z","links":{"resolver":"https://pith.science/pith/EQM5G5LFLUQRXNOJXDGSC62P2M","bundle":"https://pith.science/pith/EQM5G5LFLUQRXNOJXDGSC62P2M/bundle.json","state":"https://pith.science/pith/EQM5G5LFLUQRXNOJXDGSC62P2M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EQM5G5LFLUQRXNOJXDGSC62P2M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EQM5G5LFLUQRXNOJXDGSC62P2M","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":"e053bc13d6fd8534f48213213dae4b89177f56bc8c2b19a3c82306530bc155b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-09T22:08:18Z","title_canon_sha256":"9465f66cab71eace801c1772badd1ecd8039e831ad88ae074c2d6090d6e6eb18"},"schema_version":"1.0","source":{"id":"1712.03445","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.03445","created_at":"2026-05-18T00:16:29Z"},{"alias_kind":"arxiv_version","alias_value":"1712.03445v2","created_at":"2026-05-18T00:16:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.03445","created_at":"2026-05-18T00:16:29Z"},{"alias_kind":"pith_short_12","alias_value":"EQM5G5LFLUQR","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EQM5G5LFLUQRXNOJ","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EQM5G5LF","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:a05797e6e323ddb37f52e0695c050a7fff10a6404fc62b5967bdb5c70203f72b","target":"graph","created_at":"2026-05-18T00:16:29Z","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"},"paper":{"abstract_excerpt":"This work introduces a novel discontinuity-tracking framework for resolving discontinuous solutions of conservation laws with high-order numerical discretizations that support inter-element solution discontinuities, such as discontinuous Galerkin methods. The proposed method aims to align inter-element boundaries with discontinuities in the solution by deforming the computational mesh. A discontinuity-aligned mesh ensures the discontinuity is represented through inter-element jumps while smooth basis functions interior to elements are only used to approximate smooth regions of the solution, th","authors_text":"Matthew J. Zahr, Per-Olof Persson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-09T22:08:18Z","title":"An optimization-based approach for high-order accurate discretization of conservation laws with discontinuous solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.03445","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:b213b807dabc7a657c16076c84e3877fabf5b82d1a1a5dca9b04588609683646","target":"record","created_at":"2026-05-18T00:16:29Z","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":"e053bc13d6fd8534f48213213dae4b89177f56bc8c2b19a3c82306530bc155b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-12-09T22:08:18Z","title_canon_sha256":"9465f66cab71eace801c1772badd1ecd8039e831ad88ae074c2d6090d6e6eb18"},"schema_version":"1.0","source":{"id":"1712.03445","kind":"arxiv","version":2}},"canonical_sha256":"2419d375655d211bb5c9b8cd217b4fd3180e5bfcbc4c7d9a9f74216e41d66800","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2419d375655d211bb5c9b8cd217b4fd3180e5bfcbc4c7d9a9f74216e41d66800","first_computed_at":"2026-05-18T00:16:29.908693Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:29.908693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rpuq1Nj9FUe6R06wBgxTBGpiE75YrrZRi+ZBf9taoUGT5mTwB8LLiLGhbv5RV++qdKqASIy8lp1JBmUtH6NSBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:29.909445Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.03445","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b213b807dabc7a657c16076c84e3877fabf5b82d1a1a5dca9b04588609683646","sha256:a05797e6e323ddb37f52e0695c050a7fff10a6404fc62b5967bdb5c70203f72b"],"state_sha256":"3042a531e811d25fe6d6a516b023211b75a02e6852be6332cc7f5c33f5f798a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DljMkxx4ZHVwunbGfwAegOzeaTvLAEmx7xvVfYs9tnJYYj1myiqG4w+Q++FObl61cq8381dGgVPT9UQvLLg/Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T20:52:58.274431Z","bundle_sha256":"eabd543b3c0adaf26118dc8a60147ca1dc75762129996c358e25fd7fb37631ef"}}