{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:CBHJ2ZDRD4PPO2C5PJDU2MK6WB","short_pith_number":"pith:CBHJ2ZDR","canonical_record":{"source":{"id":"1303.0980","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-03-05T10:44:46Z","cross_cats_sorted":[],"title_canon_sha256":"b3db65344b8c638d8f214a392d94def512237ace70b92db73d52090a8ffb7ea8","abstract_canon_sha256":"d2556253a103d4a098aa093b7db861b021abec5d810c83c91870e06b73161dc7"},"schema_version":"1.0"},"canonical_sha256":"104e9d64711f1ef7685d7a474d315eb071edd00768471486c0a14b1a3e3ce0bc","source":{"kind":"arxiv","id":"1303.0980","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0980","created_at":"2026-05-18T01:51:16Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0980v2","created_at":"2026-05-18T01:51:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0980","created_at":"2026-05-18T01:51:16Z"},{"alias_kind":"pith_short_12","alias_value":"CBHJ2ZDRD4PP","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CBHJ2ZDRD4PPO2C5","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CBHJ2ZDR","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:CBHJ2ZDRD4PPO2C5PJDU2MK6WB","target":"record","payload":{"canonical_record":{"source":{"id":"1303.0980","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-03-05T10:44:46Z","cross_cats_sorted":[],"title_canon_sha256":"b3db65344b8c638d8f214a392d94def512237ace70b92db73d52090a8ffb7ea8","abstract_canon_sha256":"d2556253a103d4a098aa093b7db861b021abec5d810c83c91870e06b73161dc7"},"schema_version":"1.0"},"canonical_sha256":"104e9d64711f1ef7685d7a474d315eb071edd00768471486c0a14b1a3e3ce0bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:16.929133Z","signature_b64":"2/MwUrde4/Gw1MuNVefduRDtrNE3f+pJ1LIMZsD4RX2jH4G6L/DzR5whiUF8qWCSLVm/PpdNv1WULHJg9mKsCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"104e9d64711f1ef7685d7a474d315eb071edd00768471486c0a14b1a3e3ce0bc","last_reissued_at":"2026-05-18T01:51:16.928469Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:16.928469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.0980","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":"2026-05-18T01:51:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z+ecUfb3aoPtlL2iqfIE1DY0trKySRgXG4RwJ/MkphbmxAdHmQrSj2F4CqqHcyC6xPwRQ/azlOSKnulN48/VCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:38:27.842932Z"},"content_sha256":"8d4dbfdf8414ed3345d66aa6e954264cada973992becf6d6ab60378a3ff424a7","schema_version":"1.0","event_id":"sha256:8d4dbfdf8414ed3345d66aa6e954264cada973992becf6d6ab60378a3ff424a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:CBHJ2ZDRD4PPO2C5PJDU2MK6WB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wavelet methods to eliminate resonances in the Galerkin-truncated Burgers and Euler equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Kai Schneider, Marie Farge, Rodrigo M. Pereira, Romain Nguyen-van-yen","submitted_at":"2013-03-05T10:44:46Z","abstract_excerpt":"It is well known that solutions to the Fourier-Galerkin truncation of the inviscid Burgers equation (and other hyperbolic conservation laws) do not converge to the physically relevant entropy solution after the formation of the first shock. This loss of convergence was recently studied in detail in [S. S. Ray et al., Phys. Rev. E 84, 016301 (2011)], and traced back to the appearance of a spatially localized resonance phenomenon perturbing the solution. In this work, we propose a way to remove this resonance by filtering a wavelet representation of the Galerkin-truncated equations. A method pre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0980","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":""},"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":"2026-05-18T01:51:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x1sWNL7xHnyytd6tQUNeN9qSmFnVBd/QBb7srMOSiVJTAr6RPE8Gs/tk/qGplwfTW7m4g2K846d2U/DJ4YwFDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:38:27.843592Z"},"content_sha256":"9b3bbfe5c83748e6c3f7adfbb2596b24762a29bc98a5a44c540b257e2f8d07a6","schema_version":"1.0","event_id":"sha256:9b3bbfe5c83748e6c3f7adfbb2596b24762a29bc98a5a44c540b257e2f8d07a6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CBHJ2ZDRD4PPO2C5PJDU2MK6WB/bundle.json","state_url":"https://pith.science/pith/CBHJ2ZDRD4PPO2C5PJDU2MK6WB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CBHJ2ZDRD4PPO2C5PJDU2MK6WB/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":"2026-05-27T19:38:27Z","links":{"resolver":"https://pith.science/pith/CBHJ2ZDRD4PPO2C5PJDU2MK6WB","bundle":"https://pith.science/pith/CBHJ2ZDRD4PPO2C5PJDU2MK6WB/bundle.json","state":"https://pith.science/pith/CBHJ2ZDRD4PPO2C5PJDU2MK6WB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CBHJ2ZDRD4PPO2C5PJDU2MK6WB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CBHJ2ZDRD4PPO2C5PJDU2MK6WB","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":"d2556253a103d4a098aa093b7db861b021abec5d810c83c91870e06b73161dc7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-03-05T10:44:46Z","title_canon_sha256":"b3db65344b8c638d8f214a392d94def512237ace70b92db73d52090a8ffb7ea8"},"schema_version":"1.0","source":{"id":"1303.0980","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0980","created_at":"2026-05-18T01:51:16Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0980v2","created_at":"2026-05-18T01:51:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0980","created_at":"2026-05-18T01:51:16Z"},{"alias_kind":"pith_short_12","alias_value":"CBHJ2ZDRD4PP","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CBHJ2ZDRD4PPO2C5","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CBHJ2ZDR","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:9b3bbfe5c83748e6c3f7adfbb2596b24762a29bc98a5a44c540b257e2f8d07a6","target":"graph","created_at":"2026-05-18T01:51:16Z","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":"It is well known that solutions to the Fourier-Galerkin truncation of the inviscid Burgers equation (and other hyperbolic conservation laws) do not converge to the physically relevant entropy solution after the formation of the first shock. This loss of convergence was recently studied in detail in [S. S. Ray et al., Phys. Rev. E 84, 016301 (2011)], and traced back to the appearance of a spatially localized resonance phenomenon perturbing the solution. In this work, we propose a way to remove this resonance by filtering a wavelet representation of the Galerkin-truncated equations. A method pre","authors_text":"Kai Schneider, Marie Farge, Rodrigo M. Pereira, Romain Nguyen-van-yen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-03-05T10:44:46Z","title":"Wavelet methods to eliminate resonances in the Galerkin-truncated Burgers and Euler equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0980","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":"sha256:8d4dbfdf8414ed3345d66aa6e954264cada973992becf6d6ab60378a3ff424a7","target":"record","created_at":"2026-05-18T01:51:16Z","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":"d2556253a103d4a098aa093b7db861b021abec5d810c83c91870e06b73161dc7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-03-05T10:44:46Z","title_canon_sha256":"b3db65344b8c638d8f214a392d94def512237ace70b92db73d52090a8ffb7ea8"},"schema_version":"1.0","source":{"id":"1303.0980","kind":"arxiv","version":2}},"canonical_sha256":"104e9d64711f1ef7685d7a474d315eb071edd00768471486c0a14b1a3e3ce0bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"104e9d64711f1ef7685d7a474d315eb071edd00768471486c0a14b1a3e3ce0bc","first_computed_at":"2026-05-18T01:51:16.928469Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:16.928469Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2/MwUrde4/Gw1MuNVefduRDtrNE3f+pJ1LIMZsD4RX2jH4G6L/DzR5whiUF8qWCSLVm/PpdNv1WULHJg9mKsCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:16.929133Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.0980","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d4dbfdf8414ed3345d66aa6e954264cada973992becf6d6ab60378a3ff424a7","sha256:9b3bbfe5c83748e6c3f7adfbb2596b24762a29bc98a5a44c540b257e2f8d07a6"],"state_sha256":"9928bdf6cf0341f4caa79d6190072e25ab5ff8e54669ab9fdcd5cf4ef7df4d8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NFf6s/uvkMmhi4ckTzgYf0nUZqx+0f71ilvGIS9+XqxRXW8ijLitHmrTvmxvZLqsCaFjW7w0EJZ072EgHqgnAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:38:27.847333Z","bundle_sha256":"121c332a212d158c3777cc2c8f2c45055624a24dbf3da4b845ab66e8658adda4"}}