{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:OJ63ABRUM74CXB6PUZRMAME6QJ","short_pith_number":"pith:OJ63ABRU","canonical_record":{"source":{"id":"1401.2591","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-01-12T05:40:16Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"382ec9eed82a0cf365124c3964b279d03608486b273249dc04c025bb3cc8d1ad","abstract_canon_sha256":"1f0f6bcd2aa61c1506133db194fd79418c3d118753097d9520e4c5f2c92daf93"},"schema_version":"1.0"},"canonical_sha256":"727db0063467f82b87cfa662c0309e82478588063cc888670ee61b3b7f402bf6","source":{"kind":"arxiv","id":"1401.2591","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2591","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2591v1","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2591","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"pith_short_12","alias_value":"OJ63ABRUM74C","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"OJ63ABRUM74CXB6P","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"OJ63ABRU","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:OJ63ABRUM74CXB6PUZRMAME6QJ","target":"record","payload":{"canonical_record":{"source":{"id":"1401.2591","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-01-12T05:40:16Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"382ec9eed82a0cf365124c3964b279d03608486b273249dc04c025bb3cc8d1ad","abstract_canon_sha256":"1f0f6bcd2aa61c1506133db194fd79418c3d118753097d9520e4c5f2c92daf93"},"schema_version":"1.0"},"canonical_sha256":"727db0063467f82b87cfa662c0309e82478588063cc888670ee61b3b7f402bf6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:34.092642Z","signature_b64":"ACcfjGaji7TX2L9ciKskgHTsOnElUjXcTS3e3LOF7eVR+5uVVibSUC/sZ5orxXT0oUEO4kNpMjAksfa1E5G+Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"727db0063467f82b87cfa662c0309e82478588063cc888670ee61b3b7f402bf6","last_reissued_at":"2026-05-18T00:47:34.091958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:34.091958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.2591","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":"2026-05-18T00:47:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mK4NZhxiZG0jsrzn8nwFezAozwdQVbATn6Og/bDsoAOJqnutCEqRbNicyPNxFHdJBzoGg1YP2s6V4W9yug9zCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T16:05:00.894828Z"},"content_sha256":"98d7ab0b1d7e905188f799d87c9e115bd76154b95787dc1ae7aa201c79b2aef7","schema_version":"1.0","event_id":"sha256:98d7ab0b1d7e905188f799d87c9e115bd76154b95787dc1ae7aa201c79b2aef7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:OJ63ABRUM74CXB6PUZRMAME6QJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Characteristic local discontinuous Galerkin methods for solving time-dependent convection-dominated Navier-Stokes equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"physics.comp-ph","authors_text":"Jinyun Yuan, Shuqin Wang, Weihua Deng, Yujiang Wu","submitted_at":"2014-01-12T05:40:16Z","abstract_excerpt":"Combining the characteristic method and the local discontinuous Galerkin method with carefully constructing numerical fluxes, we design the variational formulations for the time-dependent convection-dominated Navier-Stokes equations in $\\mathbb{R}^2$. The proposed symmetric variational formulation is strictly proved to be unconditionally stable; and the scheme has the striking benefit that the conditional number of the matrix of the corresponding matrix equation does not increase with the refining of the meshes. The presented scheme works well for a wide range of Reynolds numbers, e.g., the sc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2591","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":"2026-05-18T00:47:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y2Xu/+yuBuXKI4WnTYUA8wGU3BJN5BDjMz3sXOh1KuxBf34yvauBs+KpdTs4bnCrq7OXgp/wP6s1JURHp6bqAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T16:05:00.895564Z"},"content_sha256":"7e3b1e28820477424bd0242f1762aca3d552f81221965ed9e2693ef9e27df0ba","schema_version":"1.0","event_id":"sha256:7e3b1e28820477424bd0242f1762aca3d552f81221965ed9e2693ef9e27df0ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OJ63ABRUM74CXB6PUZRMAME6QJ/bundle.json","state_url":"https://pith.science/pith/OJ63ABRUM74CXB6PUZRMAME6QJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OJ63ABRUM74CXB6PUZRMAME6QJ/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":"2026-05-30T16:05:00Z","links":{"resolver":"https://pith.science/pith/OJ63ABRUM74CXB6PUZRMAME6QJ","bundle":"https://pith.science/pith/OJ63ABRUM74CXB6PUZRMAME6QJ/bundle.json","state":"https://pith.science/pith/OJ63ABRUM74CXB6PUZRMAME6QJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OJ63ABRUM74CXB6PUZRMAME6QJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:OJ63ABRUM74CXB6PUZRMAME6QJ","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":"1f0f6bcd2aa61c1506133db194fd79418c3d118753097d9520e4c5f2c92daf93","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-01-12T05:40:16Z","title_canon_sha256":"382ec9eed82a0cf365124c3964b279d03608486b273249dc04c025bb3cc8d1ad"},"schema_version":"1.0","source":{"id":"1401.2591","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2591","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2591v1","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2591","created_at":"2026-05-18T00:47:34Z"},{"alias_kind":"pith_short_12","alias_value":"OJ63ABRUM74C","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"OJ63ABRUM74CXB6P","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"OJ63ABRU","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:7e3b1e28820477424bd0242f1762aca3d552f81221965ed9e2693ef9e27df0ba","target":"graph","created_at":"2026-05-18T00:47:34Z","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":"Combining the characteristic method and the local discontinuous Galerkin method with carefully constructing numerical fluxes, we design the variational formulations for the time-dependent convection-dominated Navier-Stokes equations in $\\mathbb{R}^2$. The proposed symmetric variational formulation is strictly proved to be unconditionally stable; and the scheme has the striking benefit that the conditional number of the matrix of the corresponding matrix equation does not increase with the refining of the meshes. The presented scheme works well for a wide range of Reynolds numbers, e.g., the sc","authors_text":"Jinyun Yuan, Shuqin Wang, Weihua Deng, Yujiang Wu","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-01-12T05:40:16Z","title":"Characteristic local discontinuous Galerkin methods for solving time-dependent convection-dominated Navier-Stokes equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2591","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":"sha256:98d7ab0b1d7e905188f799d87c9e115bd76154b95787dc1ae7aa201c79b2aef7","target":"record","created_at":"2026-05-18T00:47:34Z","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":"1f0f6bcd2aa61c1506133db194fd79418c3d118753097d9520e4c5f2c92daf93","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-01-12T05:40:16Z","title_canon_sha256":"382ec9eed82a0cf365124c3964b279d03608486b273249dc04c025bb3cc8d1ad"},"schema_version":"1.0","source":{"id":"1401.2591","kind":"arxiv","version":1}},"canonical_sha256":"727db0063467f82b87cfa662c0309e82478588063cc888670ee61b3b7f402bf6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"727db0063467f82b87cfa662c0309e82478588063cc888670ee61b3b7f402bf6","first_computed_at":"2026-05-18T00:47:34.091958Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:34.091958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ACcfjGaji7TX2L9ciKskgHTsOnElUjXcTS3e3LOF7eVR+5uVVibSUC/sZ5orxXT0oUEO4kNpMjAksfa1E5G+Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:34.092642Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.2591","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98d7ab0b1d7e905188f799d87c9e115bd76154b95787dc1ae7aa201c79b2aef7","sha256:7e3b1e28820477424bd0242f1762aca3d552f81221965ed9e2693ef9e27df0ba"],"state_sha256":"027d2b62578f9feb800c263efd589a16d35791dbc6a661cded4e57bf0f759584"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fifWZXYctiXrK6TGwr16YSJb/D7mRDrJt754I92tqVSnUT0I1QnCr5nUA8WaNM1lJH84IKNCCZvyK4GPsrfcDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T16:05:00.898997Z","bundle_sha256":"c1964cb219b571feff1c51ae73075336ce3af4669604493de2a9f8f96b78a8c0"}}