{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:OOH3VUD7QB2P6T6Q5QVMYMIRY5","short_pith_number":"pith:OOH3VUD7","canonical_record":{"source":{"id":"1806.06756","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-18T15:12:03Z","cross_cats_sorted":[],"title_canon_sha256":"78161630abde3da86b98258dbb025e053d1025cc86d19d35c53baafc1587ce31","abstract_canon_sha256":"da95ed44501a1c723045676f5d09f9232fdd8382e46a3d75e5e24a3475a5cfef"},"schema_version":"1.0"},"canonical_sha256":"738fbad07f8074ff4fd0ec2acc3111c7615cfdbb56f691ab9dec738bed11180f","source":{"kind":"arxiv","id":"1806.06756","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06756","created_at":"2026-05-18T00:12:59Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06756v1","created_at":"2026-05-18T00:12:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06756","created_at":"2026-05-18T00:12:59Z"},{"alias_kind":"pith_short_12","alias_value":"OOH3VUD7QB2P","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OOH3VUD7QB2P6T6Q","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OOH3VUD7","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:OOH3VUD7QB2P6T6Q5QVMYMIRY5","target":"record","payload":{"canonical_record":{"source":{"id":"1806.06756","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-18T15:12:03Z","cross_cats_sorted":[],"title_canon_sha256":"78161630abde3da86b98258dbb025e053d1025cc86d19d35c53baafc1587ce31","abstract_canon_sha256":"da95ed44501a1c723045676f5d09f9232fdd8382e46a3d75e5e24a3475a5cfef"},"schema_version":"1.0"},"canonical_sha256":"738fbad07f8074ff4fd0ec2acc3111c7615cfdbb56f691ab9dec738bed11180f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:59.203516Z","signature_b64":"4OAJKhwho5cJO+YYVZAzBVD3ZE1vxCaFYpbPZNvHW0H4HGaMvDlswZitG/dszq6SgcfZ9pd05bZJh7wC8fJZAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"738fbad07f8074ff4fd0ec2acc3111c7615cfdbb56f691ab9dec738bed11180f","last_reissued_at":"2026-05-18T00:12:59.202886Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:59.202886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.06756","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:12:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UMo2S1ZKoxzy1MCas4fUxb+rk12+evUcSOyyQubJLAbHWG3hlGsB6KzSjzT8Jk3ZAEDDsp6QFiVHJ6CuWYbBBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T21:32:44.390843Z"},"content_sha256":"6e13d24cee527353ecece469437624ee43bfaad88d145cf30d9fd4084024bc4b","schema_version":"1.0","event_id":"sha256:6e13d24cee527353ecece469437624ee43bfaad88d145cf30d9fd4084024bc4b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:OOH3VUD7QB2P6T6Q5QVMYMIRY5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Positivity-Preserving Limiting Strategy for Locally-Implicit Lax-Wendroff Discontinuous Galerkin Methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Caleb Logemann, Camille Felton, Ian Pelakh, James A. Rossmanith, Mariana Harris, Stefan Nelson","submitted_at":"2018-06-18T15:12:03Z","abstract_excerpt":"Nonlinear hyperbolic conservation laws admit singular solutions such as shockwaves (discontinuities in conserved variables), rarefaction waves (discontinuities in derivatives), and vacuum states (loss of strong hyperbolicity). When ostensibly high-order numerical methods are applied in such solution regimes, unphysical oscillations present themselves that can lead to large errors and a breakdown of the numerical simulation. In this work we develop a new Lax-Wendroff discontinuous Galerkin (LxW-DG) method with a limiting strategy that keeps the solution non-oscillatory and positivity-preserving"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06756","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:12:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J5hhb9kaXoZPHaiavZy7fQZm0w5hnztlPM9QO1YtYrGExT4hAo0Y3RHKCHbXm4pKkv6GOzWGLhIyaba6T/MIAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T21:32:44.391332Z"},"content_sha256":"f311e7a515b42bb025a2ad93b0a9ba49110f1551c74e579e977d0661a3e1b306","schema_version":"1.0","event_id":"sha256:f311e7a515b42bb025a2ad93b0a9ba49110f1551c74e579e977d0661a3e1b306"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OOH3VUD7QB2P6T6Q5QVMYMIRY5/bundle.json","state_url":"https://pith.science/pith/OOH3VUD7QB2P6T6Q5QVMYMIRY5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OOH3VUD7QB2P6T6Q5QVMYMIRY5/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":"2026-06-25T21:32:44Z","links":{"resolver":"https://pith.science/pith/OOH3VUD7QB2P6T6Q5QVMYMIRY5","bundle":"https://pith.science/pith/OOH3VUD7QB2P6T6Q5QVMYMIRY5/bundle.json","state":"https://pith.science/pith/OOH3VUD7QB2P6T6Q5QVMYMIRY5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OOH3VUD7QB2P6T6Q5QVMYMIRY5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OOH3VUD7QB2P6T6Q5QVMYMIRY5","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":"da95ed44501a1c723045676f5d09f9232fdd8382e46a3d75e5e24a3475a5cfef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-18T15:12:03Z","title_canon_sha256":"78161630abde3da86b98258dbb025e053d1025cc86d19d35c53baafc1587ce31"},"schema_version":"1.0","source":{"id":"1806.06756","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.06756","created_at":"2026-05-18T00:12:59Z"},{"alias_kind":"arxiv_version","alias_value":"1806.06756v1","created_at":"2026-05-18T00:12:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.06756","created_at":"2026-05-18T00:12:59Z"},{"alias_kind":"pith_short_12","alias_value":"OOH3VUD7QB2P","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OOH3VUD7QB2P6T6Q","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OOH3VUD7","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:f311e7a515b42bb025a2ad93b0a9ba49110f1551c74e579e977d0661a3e1b306","target":"graph","created_at":"2026-05-18T00:12:59Z","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":"Nonlinear hyperbolic conservation laws admit singular solutions such as shockwaves (discontinuities in conserved variables), rarefaction waves (discontinuities in derivatives), and vacuum states (loss of strong hyperbolicity). When ostensibly high-order numerical methods are applied in such solution regimes, unphysical oscillations present themselves that can lead to large errors and a breakdown of the numerical simulation. In this work we develop a new Lax-Wendroff discontinuous Galerkin (LxW-DG) method with a limiting strategy that keeps the solution non-oscillatory and positivity-preserving","authors_text":"Caleb Logemann, Camille Felton, Ian Pelakh, James A. Rossmanith, Mariana Harris, Stefan Nelson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-18T15:12:03Z","title":"A Positivity-Preserving Limiting Strategy for Locally-Implicit Lax-Wendroff Discontinuous Galerkin Methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06756","kind":"arxiv","version":1},"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":"sha256:6e13d24cee527353ecece469437624ee43bfaad88d145cf30d9fd4084024bc4b","target":"record","created_at":"2026-05-18T00:12:59Z","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":"da95ed44501a1c723045676f5d09f9232fdd8382e46a3d75e5e24a3475a5cfef","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-18T15:12:03Z","title_canon_sha256":"78161630abde3da86b98258dbb025e053d1025cc86d19d35c53baafc1587ce31"},"schema_version":"1.0","source":{"id":"1806.06756","kind":"arxiv","version":1}},"canonical_sha256":"738fbad07f8074ff4fd0ec2acc3111c7615cfdbb56f691ab9dec738bed11180f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"738fbad07f8074ff4fd0ec2acc3111c7615cfdbb56f691ab9dec738bed11180f","first_computed_at":"2026-05-18T00:12:59.202886Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:59.202886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4OAJKhwho5cJO+YYVZAzBVD3ZE1vxCaFYpbPZNvHW0H4HGaMvDlswZitG/dszq6SgcfZ9pd05bZJh7wC8fJZAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:59.203516Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.06756","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e13d24cee527353ecece469437624ee43bfaad88d145cf30d9fd4084024bc4b","sha256:f311e7a515b42bb025a2ad93b0a9ba49110f1551c74e579e977d0661a3e1b306"],"state_sha256":"433fc0e5dcd3e20832c6f37fdbbc7a510710203389801fd225261eae814d0bc3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qfr6eKygqUJm46iOtc/o4uFRbk2+p6YZpjleC4l+o/xQfuScpTteYFcVqxKc4fa9XPmvNTL+3U4mAcNHuitzDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T21:32:44.394008Z","bundle_sha256":"9eabede3eb0b884fd8bb4bb884d8da4da24af679610a3e001b7350999f87cf86"}}