{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:6HDXMQ5QKYIHV62ILEFEQMCHMK","short_pith_number":"pith:6HDXMQ5Q","canonical_record":{"source":{"id":"2402.17688","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-02-27T17:05:06Z","cross_cats_sorted":["cs.NA","physics.comp-ph"],"title_canon_sha256":"3239c231fb8c58aacdc3e4961920fb7c579fa0797b509cfd91f105d48ff30a7e","abstract_canon_sha256":"45a89877de8e44e1c49fadec5628fb0a75b14ca3e6ef39ca7629fa1cf2a98f02"},"schema_version":"1.0"},"canonical_sha256":"f1c77643b056107afb48590a48304762b86cc2642eab416b1b96b7ea8b1f7a70","source":{"kind":"arxiv","id":"2402.17688","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.17688","created_at":"2026-07-05T07:50:24Z"},{"alias_kind":"arxiv_version","alias_value":"2402.17688v2","created_at":"2026-07-05T07:50:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.17688","created_at":"2026-07-05T07:50:24Z"},{"alias_kind":"pith_short_12","alias_value":"6HDXMQ5QKYIH","created_at":"2026-07-05T07:50:24Z"},{"alias_kind":"pith_short_16","alias_value":"6HDXMQ5QKYIHV62I","created_at":"2026-07-05T07:50:24Z"},{"alias_kind":"pith_short_8","alias_value":"6HDXMQ5Q","created_at":"2026-07-05T07:50:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:6HDXMQ5QKYIHV62ILEFEQMCHMK","target":"record","payload":{"canonical_record":{"source":{"id":"2402.17688","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-02-27T17:05:06Z","cross_cats_sorted":["cs.NA","physics.comp-ph"],"title_canon_sha256":"3239c231fb8c58aacdc3e4961920fb7c579fa0797b509cfd91f105d48ff30a7e","abstract_canon_sha256":"45a89877de8e44e1c49fadec5628fb0a75b14ca3e6ef39ca7629fa1cf2a98f02"},"schema_version":"1.0"},"canonical_sha256":"f1c77643b056107afb48590a48304762b86cc2642eab416b1b96b7ea8b1f7a70","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:50:24.173365Z","signature_b64":"35NFS05yiqM2c/vNHFUqTr2Hv76VoA3F8oMZMWzewKngle8PvvFBDDoal3/pfTvklaywEgieX2SaZE83aPMjBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1c77643b056107afb48590a48304762b86cc2642eab416b1b96b7ea8b1f7a70","last_reissued_at":"2026-07-05T07:50:24.172865Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:50:24.172865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.17688","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":"2026-07-05T07:50:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h9AYa1lOrS7Q2qTPmnKGNsH4U13UJcVr9KpJ0AijYTvshsDPC/0I6HmqWoZUaRQcEU2SQw/B4DjW1Hq7O5fVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T20:18:32.986223Z"},"content_sha256":"87630d9e3c974d39ebdfe6c06ff1b43db8396ae4e367b7cc624065f4ca510249","schema_version":"1.0","event_id":"sha256:87630d9e3c974d39ebdfe6c06ff1b43db8396ae4e367b7cc624065f4ca510249"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:6HDXMQ5QKYIHV62ILEFEQMCHMK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Novel spectral methods for shock capturing and the removal of tygers in computational fluid dynamics","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Nicolas Besse, Rahul Pandit, Sai Swetha Venkata Kolluru","submitted_at":"2024-02-27T17:05:06Z","abstract_excerpt":"Spectral methods yield numerical solutions of the Galerkin-truncated versions of nonlinear partial differential equations involved especially in fluid dynamics. In the presence of discontinuities, such as shocks, spectral approximations develop Gibbs oscillations near the discontinuity. This causes the numerical solution to deviate quickly from the true solution. For spectral approximations of the 1D inviscid Burgers equation, nonlinear wave resonances lead to the formation of tygers in well-resolved areas of the flow, far from the shock. Recently, Besse(to be published) has proposed novel spe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.17688","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2402.17688/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":"2026-07-05T07:50:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yaOAGfM3CeenSgUs5tiyDahdi7iZNHSwb1CS9Yt04SBKf3Kv7IRuHW+w4HBzQY88OTPFuxrK8eQq7lswsRo6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T20:18:32.986720Z"},"content_sha256":"db2bfbdff989e3f687ef6bd26e88bfa2ebeb910535f32ca76ff13f7e1a614857","schema_version":"1.0","event_id":"sha256:db2bfbdff989e3f687ef6bd26e88bfa2ebeb910535f32ca76ff13f7e1a614857"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6HDXMQ5QKYIHV62ILEFEQMCHMK/bundle.json","state_url":"https://pith.science/pith/6HDXMQ5QKYIHV62ILEFEQMCHMK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6HDXMQ5QKYIHV62ILEFEQMCHMK/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":"2026-08-21T20:18:32Z","links":{"resolver":"https://pith.science/pith/6HDXMQ5QKYIHV62ILEFEQMCHMK","bundle":"https://pith.science/pith/6HDXMQ5QKYIHV62ILEFEQMCHMK/bundle.json","state":"https://pith.science/pith/6HDXMQ5QKYIHV62ILEFEQMCHMK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6HDXMQ5QKYIHV62ILEFEQMCHMK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:6HDXMQ5QKYIHV62ILEFEQMCHMK","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":"45a89877de8e44e1c49fadec5628fb0a75b14ca3e6ef39ca7629fa1cf2a98f02","cross_cats_sorted":["cs.NA","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-02-27T17:05:06Z","title_canon_sha256":"3239c231fb8c58aacdc3e4961920fb7c579fa0797b509cfd91f105d48ff30a7e"},"schema_version":"1.0","source":{"id":"2402.17688","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.17688","created_at":"2026-07-05T07:50:24Z"},{"alias_kind":"arxiv_version","alias_value":"2402.17688v2","created_at":"2026-07-05T07:50:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.17688","created_at":"2026-07-05T07:50:24Z"},{"alias_kind":"pith_short_12","alias_value":"6HDXMQ5QKYIH","created_at":"2026-07-05T07:50:24Z"},{"alias_kind":"pith_short_16","alias_value":"6HDXMQ5QKYIHV62I","created_at":"2026-07-05T07:50:24Z"},{"alias_kind":"pith_short_8","alias_value":"6HDXMQ5Q","created_at":"2026-07-05T07:50:24Z"}],"graph_snapshots":[{"event_id":"sha256:db2bfbdff989e3f687ef6bd26e88bfa2ebeb910535f32ca76ff13f7e1a614857","target":"graph","created_at":"2026-07-05T07:50:24Z","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/2402.17688/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Spectral methods yield numerical solutions of the Galerkin-truncated versions of nonlinear partial differential equations involved especially in fluid dynamics. In the presence of discontinuities, such as shocks, spectral approximations develop Gibbs oscillations near the discontinuity. This causes the numerical solution to deviate quickly from the true solution. For spectral approximations of the 1D inviscid Burgers equation, nonlinear wave resonances lead to the formation of tygers in well-resolved areas of the flow, far from the shock. Recently, Besse(to be published) has proposed novel spe","authors_text":"Nicolas Besse, Rahul Pandit, Sai Swetha Venkata Kolluru","cross_cats":["cs.NA","physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-02-27T17:05:06Z","title":"Novel spectral methods for shock capturing and the removal of tygers in computational fluid dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.17688","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":"sha256:87630d9e3c974d39ebdfe6c06ff1b43db8396ae4e367b7cc624065f4ca510249","target":"record","created_at":"2026-07-05T07:50:24Z","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":"45a89877de8e44e1c49fadec5628fb0a75b14ca3e6ef39ca7629fa1cf2a98f02","cross_cats_sorted":["cs.NA","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-02-27T17:05:06Z","title_canon_sha256":"3239c231fb8c58aacdc3e4961920fb7c579fa0797b509cfd91f105d48ff30a7e"},"schema_version":"1.0","source":{"id":"2402.17688","kind":"arxiv","version":2}},"canonical_sha256":"f1c77643b056107afb48590a48304762b86cc2642eab416b1b96b7ea8b1f7a70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1c77643b056107afb48590a48304762b86cc2642eab416b1b96b7ea8b1f7a70","first_computed_at":"2026-07-05T07:50:24.172865Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:50:24.172865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"35NFS05yiqM2c/vNHFUqTr2Hv76VoA3F8oMZMWzewKngle8PvvFBDDoal3/pfTvklaywEgieX2SaZE83aPMjBA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:50:24.173365Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.17688","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87630d9e3c974d39ebdfe6c06ff1b43db8396ae4e367b7cc624065f4ca510249","sha256:db2bfbdff989e3f687ef6bd26e88bfa2ebeb910535f32ca76ff13f7e1a614857"],"state_sha256":"b6f27bc3299fd0f8254a388d14cf7d593573149bac4f7649524c2637a73789f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XXelRjYRft403q0j0IB45Ci0sVKtdFQdY9S1u1m8pmVJHWK6/j2p8BuzN1Onsrawg/88ZUN4RngAGVF5FvUvBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T20:18:32.990421Z","bundle_sha256":"3e50bb436fe214e4fc709bbdd422bdea3cf9135120add7c28094a46ae34a4a18"}}