{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:4UDZ3PLRGDUUEQLCGG3V3JAPK5","short_pith_number":"pith:4UDZ3PLR","canonical_record":{"source":{"id":"2508.13190","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-08-15T05:29:29Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"3485776433c3afe0c570504b8ff1d1121e812d4b60816de66c48066da3ddc858","abstract_canon_sha256":"70d40025b953a019efebdd6ac9eff6cf75f6224d9c54ca144df06499c07dc60f"},"schema_version":"1.0"},"canonical_sha256":"e5079dbd7130e942416231b75da40f575621046d25a7748b3d9caa32e8605411","source":{"kind":"arxiv","id":"2508.13190","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.13190","created_at":"2026-07-05T11:55:44Z"},{"alias_kind":"arxiv_version","alias_value":"2508.13190v1","created_at":"2026-07-05T11:55:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.13190","created_at":"2026-07-05T11:55:44Z"},{"alias_kind":"pith_short_12","alias_value":"4UDZ3PLRGDUU","created_at":"2026-07-05T11:55:44Z"},{"alias_kind":"pith_short_16","alias_value":"4UDZ3PLRGDUUEQLC","created_at":"2026-07-05T11:55:44Z"},{"alias_kind":"pith_short_8","alias_value":"4UDZ3PLR","created_at":"2026-07-05T11:55:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:4UDZ3PLRGDUUEQLCGG3V3JAPK5","target":"record","payload":{"canonical_record":{"source":{"id":"2508.13190","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-08-15T05:29:29Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"3485776433c3afe0c570504b8ff1d1121e812d4b60816de66c48066da3ddc858","abstract_canon_sha256":"70d40025b953a019efebdd6ac9eff6cf75f6224d9c54ca144df06499c07dc60f"},"schema_version":"1.0"},"canonical_sha256":"e5079dbd7130e942416231b75da40f575621046d25a7748b3d9caa32e8605411","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:55:44.044193Z","signature_b64":"oChunHY//L0LFjRRcoO7/jha5FVfYFVS4EjS8XPMVCEKILsGiipd29TFyHvYfQoUejoNhDFpjUsIBrVa6evOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5079dbd7130e942416231b75da40f575621046d25a7748b3d9caa32e8605411","last_reissued_at":"2026-07-05T11:55:44.043785Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:55:44.043785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.13190","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":"2026-07-05T11:55:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jZ/4Frdp3NDImko+OXoSPnzny4g1Uyog0vRc+uQkdv+zCQEzi+SVMikK6woEaIJE/X9H+d8jZ/ZITneM1I5hDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T20:43:01.401381Z"},"content_sha256":"58c4d90d234a9a5ee27c98825b397ebfb3eecafb970692a01a135f65ae5a0b2d","schema_version":"1.0","event_id":"sha256:58c4d90d234a9a5ee27c98825b397ebfb3eecafb970692a01a135f65ae5a0b2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:4UDZ3PLRGDUUEQLCGG3V3JAPK5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Data-driven optimized high-order WENO schemes with low-dissipation and low-dispersion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Guanyu Zhou, Hua Shen, Jinrui Zhou, Liwei Xu, Song Jiang, Yiqi Gu","submitted_at":"2025-08-15T05:29:29Z","abstract_excerpt":"Classical high-order weighted essentially non-oscillatory (WENO) schemes are designed to achieve optimal convergence order for smooth solutions and to maintain non-oscillatory behaviors for discontinuities. However, their spectral properties are not optimal, which limits the ability to capture high-frequency waves and small-scale features. In this paper, we propose a data-driven optimized method to improve the spectral properties of the WENO schemes. By analyzing the approximate dispersion relation (ADR), the spectral error of the schemes can be bounded by the reconstructed errors of a series "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.13190","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2508.13190/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":"2026-07-05T11:55:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SRUnqtlJ+JEatvLiforX63AuPmCThEzZyLUo9Supr8RP2EWxOKMsNINLHdwBREPuZ0jWQhL493dV5/L241ZuBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T20:43:01.402020Z"},"content_sha256":"e1d3e8c0794a994b60105e8d9d931f4eea97d0682cbfd6e5945109df7c0fbf15","schema_version":"1.0","event_id":"sha256:e1d3e8c0794a994b60105e8d9d931f4eea97d0682cbfd6e5945109df7c0fbf15"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4UDZ3PLRGDUUEQLCGG3V3JAPK5/bundle.json","state_url":"https://pith.science/pith/4UDZ3PLRGDUUEQLCGG3V3JAPK5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4UDZ3PLRGDUUEQLCGG3V3JAPK5/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":"2026-08-07T20:43:01Z","links":{"resolver":"https://pith.science/pith/4UDZ3PLRGDUUEQLCGG3V3JAPK5","bundle":"https://pith.science/pith/4UDZ3PLRGDUUEQLCGG3V3JAPK5/bundle.json","state":"https://pith.science/pith/4UDZ3PLRGDUUEQLCGG3V3JAPK5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4UDZ3PLRGDUUEQLCGG3V3JAPK5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:4UDZ3PLRGDUUEQLCGG3V3JAPK5","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":"70d40025b953a019efebdd6ac9eff6cf75f6224d9c54ca144df06499c07dc60f","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-08-15T05:29:29Z","title_canon_sha256":"3485776433c3afe0c570504b8ff1d1121e812d4b60816de66c48066da3ddc858"},"schema_version":"1.0","source":{"id":"2508.13190","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.13190","created_at":"2026-07-05T11:55:44Z"},{"alias_kind":"arxiv_version","alias_value":"2508.13190v1","created_at":"2026-07-05T11:55:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.13190","created_at":"2026-07-05T11:55:44Z"},{"alias_kind":"pith_short_12","alias_value":"4UDZ3PLRGDUU","created_at":"2026-07-05T11:55:44Z"},{"alias_kind":"pith_short_16","alias_value":"4UDZ3PLRGDUUEQLC","created_at":"2026-07-05T11:55:44Z"},{"alias_kind":"pith_short_8","alias_value":"4UDZ3PLR","created_at":"2026-07-05T11:55:44Z"}],"graph_snapshots":[{"event_id":"sha256:e1d3e8c0794a994b60105e8d9d931f4eea97d0682cbfd6e5945109df7c0fbf15","target":"graph","created_at":"2026-07-05T11:55:44Z","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/2508.13190/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Classical high-order weighted essentially non-oscillatory (WENO) schemes are designed to achieve optimal convergence order for smooth solutions and to maintain non-oscillatory behaviors for discontinuities. However, their spectral properties are not optimal, which limits the ability to capture high-frequency waves and small-scale features. In this paper, we propose a data-driven optimized method to improve the spectral properties of the WENO schemes. By analyzing the approximate dispersion relation (ADR), the spectral error of the schemes can be bounded by the reconstructed errors of a series ","authors_text":"Guanyu Zhou, Hua Shen, Jinrui Zhou, Liwei Xu, Song Jiang, Yiqi Gu","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-08-15T05:29:29Z","title":"Data-driven optimized high-order WENO schemes with low-dissipation and low-dispersion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.13190","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":"sha256:58c4d90d234a9a5ee27c98825b397ebfb3eecafb970692a01a135f65ae5a0b2d","target":"record","created_at":"2026-07-05T11:55:44Z","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":"70d40025b953a019efebdd6ac9eff6cf75f6224d9c54ca144df06499c07dc60f","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-08-15T05:29:29Z","title_canon_sha256":"3485776433c3afe0c570504b8ff1d1121e812d4b60816de66c48066da3ddc858"},"schema_version":"1.0","source":{"id":"2508.13190","kind":"arxiv","version":1}},"canonical_sha256":"e5079dbd7130e942416231b75da40f575621046d25a7748b3d9caa32e8605411","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5079dbd7130e942416231b75da40f575621046d25a7748b3d9caa32e8605411","first_computed_at":"2026-07-05T11:55:44.043785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:55:44.043785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oChunHY//L0LFjRRcoO7/jha5FVfYFVS4EjS8XPMVCEKILsGiipd29TFyHvYfQoUejoNhDFpjUsIBrVa6evOCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:55:44.044193Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.13190","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58c4d90d234a9a5ee27c98825b397ebfb3eecafb970692a01a135f65ae5a0b2d","sha256:e1d3e8c0794a994b60105e8d9d931f4eea97d0682cbfd6e5945109df7c0fbf15"],"state_sha256":"dffac8cff53eaae120547d77cbb23b73db5913ec58ebfa77be47ce3cadcb8b11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tah0D38VL1FJPRniywimVRYuXs0MAYR3xM4yCiAebS6h6dtjaEtVPKin8bf5fma1I+BoqMzp/baYEqxFh1IrCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T20:43:01.412953Z","bundle_sha256":"2acc19b12e9c7d13164961d331508894a170304ee486b63641dec72f4bd200a1"}}