{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:2VDX6A2OGT4ACL7K7RTPV46GH7","short_pith_number":"pith:2VDX6A2O","canonical_record":{"source":{"id":"2601.17452","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-01-24T13:04:16Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"6061009a140e8b7083ba58aae88f96d2d5e80b382043ec7ae6a4639d8dd8698c","abstract_canon_sha256":"5ee777fc134540d916b78d4e9f147956054d2fb2b773874df63b28f7f4f42d65"},"schema_version":"1.0"},"canonical_sha256":"d5477f034e34f8012feafc66faf3c63ff11e266050dcdc609d5b4c2505d32629","source":{"kind":"arxiv","id":"2601.17452","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.17452","created_at":"2026-06-08T01:05:06Z"},{"alias_kind":"arxiv_version","alias_value":"2601.17452v3","created_at":"2026-06-08T01:05:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.17452","created_at":"2026-06-08T01:05:06Z"},{"alias_kind":"pith_short_12","alias_value":"2VDX6A2OGT4A","created_at":"2026-06-08T01:05:06Z"},{"alias_kind":"pith_short_16","alias_value":"2VDX6A2OGT4ACL7K","created_at":"2026-06-08T01:05:06Z"},{"alias_kind":"pith_short_8","alias_value":"2VDX6A2O","created_at":"2026-06-08T01:05:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:2VDX6A2OGT4ACL7K7RTPV46GH7","target":"record","payload":{"canonical_record":{"source":{"id":"2601.17452","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-01-24T13:04:16Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"6061009a140e8b7083ba58aae88f96d2d5e80b382043ec7ae6a4639d8dd8698c","abstract_canon_sha256":"5ee777fc134540d916b78d4e9f147956054d2fb2b773874df63b28f7f4f42d65"},"schema_version":"1.0"},"canonical_sha256":"d5477f034e34f8012feafc66faf3c63ff11e266050dcdc609d5b4c2505d32629","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-08T01:05:06.378429Z","signature_b64":"X1PzPBodtTZhcKXMwxJv6HyjtYpcSs9JWFgli9xSHKoNRcz4gpqeCeXwRaDnE2UYe/NrucNoBPGv7B8cAw6PCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5477f034e34f8012feafc66faf3c63ff11e266050dcdc609d5b4c2505d32629","last_reissued_at":"2026-06-08T01:05:06.377449Z","signature_status":"signed_v1","first_computed_at":"2026-06-08T01:05:06.377449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2601.17452","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-08T01:05:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nqJYDb+MCpJ9bGvHQXnqoA534iOmfgV78o5zfor9128paqUSFy2C7dHCpaRbX2X1hov6IqYNQZOHoq/YrVuRCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T16:25:01.810622Z"},"content_sha256":"86a7718d2d99f80b4164c6ffe28a592b03dfb3e63dfc5b811772e58c81c76a76","schema_version":"1.0","event_id":"sha256:86a7718d2d99f80b4164c6ffe28a592b03dfb3e63dfc5b811772e58c81c76a76"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:2VDX6A2OGT4ACL7K7RTPV46GH7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical Study of Dissipative Weak Solutions for the Euler Equations of Gas Dynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Alexander Kurganov, Changsheng Yu, Maria Lukacova-Medvidova, Michael Herty, Shaoshuai Chu","submitted_at":"2026-01-24T13:04:16Z","abstract_excerpt":"We study dissipative weak (DW) solutions of the Euler equations of gas dynamics using the first-, second-, third-, fifth-, seventh-, and ninth-order local characteristic decomposition-based central-upwind (LCDCU), low-dissipation central-upwind (LDCU), and viscous finite volume (VFV) methods, whose higher-order extensions are obtained via the framework of the alternative weighted essentially non-oscillatory (A-WENO) schemes. These methods are applied to several benchmark problems, including several two-dimensional Riemann problems and a Kelvin-Helmholtz instability test. The numerical results "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.17452","kind":"arxiv","version":3},"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/2601.17452/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":"2026-06-08T01:05:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j94KFjg27Boc5Y8IR0F/atp5jLSX1WhPh1TLW74cm4izVyo/qy79VNw7Hr77hQYglBhUw4qpLcHzCzDg/AKsBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T16:25:01.811138Z"},"content_sha256":"1cd7c0609f763bd543e2b0bcbbde57e8453774ff8812c4faed3b0befc50429ba","schema_version":"1.0","event_id":"sha256:1cd7c0609f763bd543e2b0bcbbde57e8453774ff8812c4faed3b0befc50429ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2VDX6A2OGT4ACL7K7RTPV46GH7/bundle.json","state_url":"https://pith.science/pith/2VDX6A2OGT4ACL7K7RTPV46GH7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2VDX6A2OGT4ACL7K7RTPV46GH7/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":"2026-08-14T16:25:01Z","links":{"resolver":"https://pith.science/pith/2VDX6A2OGT4ACL7K7RTPV46GH7","bundle":"https://pith.science/pith/2VDX6A2OGT4ACL7K7RTPV46GH7/bundle.json","state":"https://pith.science/pith/2VDX6A2OGT4ACL7K7RTPV46GH7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2VDX6A2OGT4ACL7K7RTPV46GH7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2VDX6A2OGT4ACL7K7RTPV46GH7","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":"5ee777fc134540d916b78d4e9f147956054d2fb2b773874df63b28f7f4f42d65","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-01-24T13:04:16Z","title_canon_sha256":"6061009a140e8b7083ba58aae88f96d2d5e80b382043ec7ae6a4639d8dd8698c"},"schema_version":"1.0","source":{"id":"2601.17452","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.17452","created_at":"2026-06-08T01:05:06Z"},{"alias_kind":"arxiv_version","alias_value":"2601.17452v3","created_at":"2026-06-08T01:05:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.17452","created_at":"2026-06-08T01:05:06Z"},{"alias_kind":"pith_short_12","alias_value":"2VDX6A2OGT4A","created_at":"2026-06-08T01:05:06Z"},{"alias_kind":"pith_short_16","alias_value":"2VDX6A2OGT4ACL7K","created_at":"2026-06-08T01:05:06Z"},{"alias_kind":"pith_short_8","alias_value":"2VDX6A2O","created_at":"2026-06-08T01:05:06Z"}],"graph_snapshots":[{"event_id":"sha256:1cd7c0609f763bd543e2b0bcbbde57e8453774ff8812c4faed3b0befc50429ba","target":"graph","created_at":"2026-06-08T01:05:06Z","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/2601.17452/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study dissipative weak (DW) solutions of the Euler equations of gas dynamics using the first-, second-, third-, fifth-, seventh-, and ninth-order local characteristic decomposition-based central-upwind (LCDCU), low-dissipation central-upwind (LDCU), and viscous finite volume (VFV) methods, whose higher-order extensions are obtained via the framework of the alternative weighted essentially non-oscillatory (A-WENO) schemes. These methods are applied to several benchmark problems, including several two-dimensional Riemann problems and a Kelvin-Helmholtz instability test. The numerical results ","authors_text":"Alexander Kurganov, Changsheng Yu, Maria Lukacova-Medvidova, Michael Herty, Shaoshuai Chu","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-01-24T13:04:16Z","title":"Numerical Study of Dissipative Weak Solutions for the Euler Equations of Gas Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.17452","kind":"arxiv","version":3},"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":"sha256:86a7718d2d99f80b4164c6ffe28a592b03dfb3e63dfc5b811772e58c81c76a76","target":"record","created_at":"2026-06-08T01:05:06Z","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":"5ee777fc134540d916b78d4e9f147956054d2fb2b773874df63b28f7f4f42d65","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2026-01-24T13:04:16Z","title_canon_sha256":"6061009a140e8b7083ba58aae88f96d2d5e80b382043ec7ae6a4639d8dd8698c"},"schema_version":"1.0","source":{"id":"2601.17452","kind":"arxiv","version":3}},"canonical_sha256":"d5477f034e34f8012feafc66faf3c63ff11e266050dcdc609d5b4c2505d32629","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5477f034e34f8012feafc66faf3c63ff11e266050dcdc609d5b4c2505d32629","first_computed_at":"2026-06-08T01:05:06.377449Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-08T01:05:06.377449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X1PzPBodtTZhcKXMwxJv6HyjtYpcSs9JWFgli9xSHKoNRcz4gpqeCeXwRaDnE2UYe/NrucNoBPGv7B8cAw6PCg==","signature_status":"signed_v1","signed_at":"2026-06-08T01:05:06.378429Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.17452","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86a7718d2d99f80b4164c6ffe28a592b03dfb3e63dfc5b811772e58c81c76a76","sha256:1cd7c0609f763bd543e2b0bcbbde57e8453774ff8812c4faed3b0befc50429ba"],"state_sha256":"2a7587cc35b536289edea31fbb5ca7e84dd1750c3ea66dde90cd8f8125bed829"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oW9Ed8E0iSc1SUFUAEUgTAkAlsA057WDJSJ7Iw6gQuVteUalu1f0VT2LAMpxrsNMjn6jCYF1GJ7l9nUbGv5MDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T16:25:01.816089Z","bundle_sha256":"81752b0d77f25703ccdee104c8350198b94f8cce1f99f17350c3e8e060b125c9"}}