{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:KJX5QXDHOO5KIZPVZQV66GUXOO","short_pith_number":"pith:KJX5QXDH","canonical_record":{"source":{"id":"1802.04590","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-13T12:39:59Z","cross_cats_sorted":[],"title_canon_sha256":"2eefd41e58de711f720f0feb702e227117eb2777476d3b2c7f2bfbd716ab468f","abstract_canon_sha256":"9dce55f6b3cc4c426ddaf53b858955b60104f12ab7d308ff80ea102fe70cbbcc"},"schema_version":"1.0"},"canonical_sha256":"526fd85c6773baa465f5cc2bef1a9773ae8d2ffd9bc5152861906fc8f5ca70cd","source":{"kind":"arxiv","id":"1802.04590","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.04590","created_at":"2026-05-18T00:23:42Z"},{"alias_kind":"arxiv_version","alias_value":"1802.04590v1","created_at":"2026-05-18T00:23:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.04590","created_at":"2026-05-18T00:23:42Z"},{"alias_kind":"pith_short_12","alias_value":"KJX5QXDHOO5K","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KJX5QXDHOO5KIZPV","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KJX5QXDH","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:KJX5QXDHOO5KIZPVZQV66GUXOO","target":"record","payload":{"canonical_record":{"source":{"id":"1802.04590","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-13T12:39:59Z","cross_cats_sorted":[],"title_canon_sha256":"2eefd41e58de711f720f0feb702e227117eb2777476d3b2c7f2bfbd716ab468f","abstract_canon_sha256":"9dce55f6b3cc4c426ddaf53b858955b60104f12ab7d308ff80ea102fe70cbbcc"},"schema_version":"1.0"},"canonical_sha256":"526fd85c6773baa465f5cc2bef1a9773ae8d2ffd9bc5152861906fc8f5ca70cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:42.044608Z","signature_b64":"aLALeYCSY3WbUc4cJUsAGClrtcPoNKaJu29Iyo3aMPZ7dGHcIc5QhmAsxzcugp2keZUfebdLlgWAPV0LgxV7AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"526fd85c6773baa465f5cc2bef1a9773ae8d2ffd9bc5152861906fc8f5ca70cd","last_reissued_at":"2026-05-18T00:23:42.043523Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:42.043523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.04590","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":"2026-05-18T00:23:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+SMl4wl62oMBqp3hw4ksetwstWAkdXzqDlMchLOrMvupzCj/SIOXMv12sboOQ9moTi7Pj7gsC0Mli3ICWpglAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:28:12.627058Z"},"content_sha256":"5fc82e29cd18236034c61c341e91c37f1b909cd9f7fd0309469c78f4c89c3f5a","schema_version":"1.0","event_id":"sha256:5fc82e29cd18236034c61c341e91c37f1b909cd9f7fd0309469c78f4c89c3f5a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:KJX5QXDHOO5KIZPVZQV66GUXOO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"David Coulette (TONUS, Emmanuel Franck (TONUS), Irma), Laurent Navoret (IRMA, Michel Mehrenberger (TONUS, Philippe Helluy (IRMA, TONUS)","submitted_at":"2018-02-13T12:39:59Z","abstract_excerpt":"We construct a high order discontinuous Galerkin method for solving general hyperbolic systems of conservation laws. The method is CFL-less, matrix-free, has the complexity of an explicit scheme and can be of arbitrary order in space and time. The construction is based on: (a) the representation of the system of conservation laws by a kinetic vectorial representation with a stiff relaxation term; (b) a matrix-free, CFL-less implicit discontinuous Galerkin transport solver; and (c) a stiffly accurate composition method for time integration. The method is validated on several one-dimensional tes"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.04590","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":"2026-05-18T00:23:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y/gYZW4aioL+5ZRsadodV9A2mpLzwRaMhq06G202a+7AlaWRSnGenml3Pqv4c8eB6k3Cqn/MN8Z7hj19l8r1AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T00:28:12.627432Z"},"content_sha256":"d5447d8a56ec4063189d1fff37e65e0ef2995e9c881c3f2181c3e6761fbc81c9","schema_version":"1.0","event_id":"sha256:d5447d8a56ec4063189d1fff37e65e0ef2995e9c881c3f2181c3e6761fbc81c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KJX5QXDHOO5KIZPVZQV66GUXOO/bundle.json","state_url":"https://pith.science/pith/KJX5QXDHOO5KIZPVZQV66GUXOO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KJX5QXDHOO5KIZPVZQV66GUXOO/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":"2026-06-12T00:28:12Z","links":{"resolver":"https://pith.science/pith/KJX5QXDHOO5KIZPVZQV66GUXOO","bundle":"https://pith.science/pith/KJX5QXDHOO5KIZPVZQV66GUXOO/bundle.json","state":"https://pith.science/pith/KJX5QXDHOO5KIZPVZQV66GUXOO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KJX5QXDHOO5KIZPVZQV66GUXOO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KJX5QXDHOO5KIZPVZQV66GUXOO","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":"9dce55f6b3cc4c426ddaf53b858955b60104f12ab7d308ff80ea102fe70cbbcc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-13T12:39:59Z","title_canon_sha256":"2eefd41e58de711f720f0feb702e227117eb2777476d3b2c7f2bfbd716ab468f"},"schema_version":"1.0","source":{"id":"1802.04590","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.04590","created_at":"2026-05-18T00:23:42Z"},{"alias_kind":"arxiv_version","alias_value":"1802.04590v1","created_at":"2026-05-18T00:23:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.04590","created_at":"2026-05-18T00:23:42Z"},{"alias_kind":"pith_short_12","alias_value":"KJX5QXDHOO5K","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KJX5QXDHOO5KIZPV","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KJX5QXDH","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:d5447d8a56ec4063189d1fff37e65e0ef2995e9c881c3f2181c3e6761fbc81c9","target":"graph","created_at":"2026-05-18T00:23:42Z","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":"We construct a high order discontinuous Galerkin method for solving general hyperbolic systems of conservation laws. The method is CFL-less, matrix-free, has the complexity of an explicit scheme and can be of arbitrary order in space and time. The construction is based on: (a) the representation of the system of conservation laws by a kinetic vectorial representation with a stiff relaxation term; (b) a matrix-free, CFL-less implicit discontinuous Galerkin transport solver; and (c) a stiffly accurate composition method for time integration. The method is validated on several one-dimensional tes","authors_text":"David Coulette (TONUS, Emmanuel Franck (TONUS), Irma), Laurent Navoret (IRMA, Michel Mehrenberger (TONUS, Philippe Helluy (IRMA, TONUS)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-13T12:39:59Z","title":"High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.04590","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":"sha256:5fc82e29cd18236034c61c341e91c37f1b909cd9f7fd0309469c78f4c89c3f5a","target":"record","created_at":"2026-05-18T00:23:42Z","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":"9dce55f6b3cc4c426ddaf53b858955b60104f12ab7d308ff80ea102fe70cbbcc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-02-13T12:39:59Z","title_canon_sha256":"2eefd41e58de711f720f0feb702e227117eb2777476d3b2c7f2bfbd716ab468f"},"schema_version":"1.0","source":{"id":"1802.04590","kind":"arxiv","version":1}},"canonical_sha256":"526fd85c6773baa465f5cc2bef1a9773ae8d2ffd9bc5152861906fc8f5ca70cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"526fd85c6773baa465f5cc2bef1a9773ae8d2ffd9bc5152861906fc8f5ca70cd","first_computed_at":"2026-05-18T00:23:42.043523Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:42.043523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aLALeYCSY3WbUc4cJUsAGClrtcPoNKaJu29Iyo3aMPZ7dGHcIc5QhmAsxzcugp2keZUfebdLlgWAPV0LgxV7AA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:42.044608Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.04590","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fc82e29cd18236034c61c341e91c37f1b909cd9f7fd0309469c78f4c89c3f5a","sha256:d5447d8a56ec4063189d1fff37e65e0ef2995e9c881c3f2181c3e6761fbc81c9"],"state_sha256":"f7155a1de35e5992bd7ca4001cc105edbf488e71d8842ef676d84d4fe02b1ee0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nJmMyCCGsCFM7UI/RIgqVOwZmKjU+2Ukg8/WYY/KmTqGXGV8+bmfxQsCdNCs8rpYKf7cJ9PlZ+zzDBBtXhKMDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T00:28:12.629346Z","bundle_sha256":"10e5eb8a204a9b68330afbd195349dc6f8ab7f45571f02e09f435fa7ac9c3e9e"}}