{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:GEIOS3K3GGYVKHGL5TPKMWUHBR","short_pith_number":"pith:GEIOS3K3","canonical_record":{"source":{"id":"2402.12669","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-20T02:38:21Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"d75249d87db35c9f3068e93212e4ad473462e1c39697658fef5ea0b8f82744c2","abstract_canon_sha256":"4801e37a22311a194c3066853df356e9d4844ecac6e26b9b771aa576079fa1c1"},"schema_version":"1.0"},"canonical_sha256":"3110e96d5b31b1551ccbecdea65a870c6f0c658817e8c0e53e0cc0b6a6680b22","source":{"kind":"arxiv","id":"2402.12669","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.12669","created_at":"2026-07-05T07:47:14Z"},{"alias_kind":"arxiv_version","alias_value":"2402.12669v1","created_at":"2026-07-05T07:47:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.12669","created_at":"2026-07-05T07:47:14Z"},{"alias_kind":"pith_short_12","alias_value":"GEIOS3K3GGYV","created_at":"2026-07-05T07:47:14Z"},{"alias_kind":"pith_short_16","alias_value":"GEIOS3K3GGYVKHGL","created_at":"2026-07-05T07:47:14Z"},{"alias_kind":"pith_short_8","alias_value":"GEIOS3K3","created_at":"2026-07-05T07:47:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:GEIOS3K3GGYVKHGL5TPKMWUHBR","target":"record","payload":{"canonical_record":{"source":{"id":"2402.12669","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-20T02:38:21Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"d75249d87db35c9f3068e93212e4ad473462e1c39697658fef5ea0b8f82744c2","abstract_canon_sha256":"4801e37a22311a194c3066853df356e9d4844ecac6e26b9b771aa576079fa1c1"},"schema_version":"1.0"},"canonical_sha256":"3110e96d5b31b1551ccbecdea65a870c6f0c658817e8c0e53e0cc0b6a6680b22","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:47:14.760550Z","signature_b64":"Q0nSIk1Pl0QY9Chk5kuPjCI8eGwM1YVAGV8Z3NOAh+QtVSNRtXmEFzaC0ZTYyDj1C2e3PuNMMb9k/aAuNfGaDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3110e96d5b31b1551ccbecdea65a870c6f0c658817e8c0e53e0cc0b6a6680b22","last_reissued_at":"2026-07-05T07:47:14.760128Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:47:14.760128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.12669","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":"2026-07-05T07:47:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qpt5DkKKp+tNF7fGVsFVnPWkHedzA7QTnThruBXg/AtGFNwqOl4wkJTQI0biWxAgp3n29FV4DCMXpDMOYWSzBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T14:43:09.694063Z"},"content_sha256":"2ca49281a146acfd045130875e34f9b5620300dec4236e60592621e0f0fb6058","schema_version":"1.0","event_id":"sha256:2ca49281a146acfd045130875e34f9b5620300dec4236e60592621e0f0fb6058"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:GEIOS3K3GGYVKHGL5TPKMWUHBR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lax-Wendroff Flux Reconstruction for advection-diffusion equations with error-based time stepping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Arpit Babbar, Praveen Chandrashekar","submitted_at":"2024-02-20T02:38:21Z","abstract_excerpt":"This work introduces an extension of the high order, single stage Lax-Wendroff Flux Reconstruction (LWFR) of Babbar et al., JCP (2022) to solve second order time-dependent partial differential equations in conservative form on curvilinear meshes. The method uses BR1 scheme to reduce the system to first order so that the earlier LWFR scheme can be applied. The work makes use of the embedded error-based time stepping introduced in Babbar, Chandrashekar (2024) which becomes particularly relevant in the absence of CFL stability limit for parabolic equations. The scheme is verified to show optimal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.12669","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/2402.12669/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":"2026-07-05T07:47:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yOMEM3qtZCwGSnj/nKqN3TbgDs3eldybN5kcYTEhpB+le5pMX36dKtHFzgOpXZ593k0PFTJD01zY52wEY6hXAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T14:43:09.694639Z"},"content_sha256":"26e17b3f571f41575ce1da0ee566ed598009c27e2422b042e075966a91bb6614","schema_version":"1.0","event_id":"sha256:26e17b3f571f41575ce1da0ee566ed598009c27e2422b042e075966a91bb6614"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GEIOS3K3GGYVKHGL5TPKMWUHBR/bundle.json","state_url":"https://pith.science/pith/GEIOS3K3GGYVKHGL5TPKMWUHBR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GEIOS3K3GGYVKHGL5TPKMWUHBR/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":"2026-08-16T14:43:09Z","links":{"resolver":"https://pith.science/pith/GEIOS3K3GGYVKHGL5TPKMWUHBR","bundle":"https://pith.science/pith/GEIOS3K3GGYVKHGL5TPKMWUHBR/bundle.json","state":"https://pith.science/pith/GEIOS3K3GGYVKHGL5TPKMWUHBR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GEIOS3K3GGYVKHGL5TPKMWUHBR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:GEIOS3K3GGYVKHGL5TPKMWUHBR","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":"4801e37a22311a194c3066853df356e9d4844ecac6e26b9b771aa576079fa1c1","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-20T02:38:21Z","title_canon_sha256":"d75249d87db35c9f3068e93212e4ad473462e1c39697658fef5ea0b8f82744c2"},"schema_version":"1.0","source":{"id":"2402.12669","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.12669","created_at":"2026-07-05T07:47:14Z"},{"alias_kind":"arxiv_version","alias_value":"2402.12669v1","created_at":"2026-07-05T07:47:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.12669","created_at":"2026-07-05T07:47:14Z"},{"alias_kind":"pith_short_12","alias_value":"GEIOS3K3GGYV","created_at":"2026-07-05T07:47:14Z"},{"alias_kind":"pith_short_16","alias_value":"GEIOS3K3GGYVKHGL","created_at":"2026-07-05T07:47:14Z"},{"alias_kind":"pith_short_8","alias_value":"GEIOS3K3","created_at":"2026-07-05T07:47:14Z"}],"graph_snapshots":[{"event_id":"sha256:26e17b3f571f41575ce1da0ee566ed598009c27e2422b042e075966a91bb6614","target":"graph","created_at":"2026-07-05T07:47:14Z","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/2402.12669/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work introduces an extension of the high order, single stage Lax-Wendroff Flux Reconstruction (LWFR) of Babbar et al., JCP (2022) to solve second order time-dependent partial differential equations in conservative form on curvilinear meshes. The method uses BR1 scheme to reduce the system to first order so that the earlier LWFR scheme can be applied. The work makes use of the embedded error-based time stepping introduced in Babbar, Chandrashekar (2024) which becomes particularly relevant in the absence of CFL stability limit for parabolic equations. The scheme is verified to show optimal ","authors_text":"Arpit Babbar, Praveen Chandrashekar","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-20T02:38:21Z","title":"Lax-Wendroff Flux Reconstruction for advection-diffusion equations with error-based time stepping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.12669","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":"sha256:2ca49281a146acfd045130875e34f9b5620300dec4236e60592621e0f0fb6058","target":"record","created_at":"2026-07-05T07:47:14Z","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":"4801e37a22311a194c3066853df356e9d4844ecac6e26b9b771aa576079fa1c1","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2024-02-20T02:38:21Z","title_canon_sha256":"d75249d87db35c9f3068e93212e4ad473462e1c39697658fef5ea0b8f82744c2"},"schema_version":"1.0","source":{"id":"2402.12669","kind":"arxiv","version":1}},"canonical_sha256":"3110e96d5b31b1551ccbecdea65a870c6f0c658817e8c0e53e0cc0b6a6680b22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3110e96d5b31b1551ccbecdea65a870c6f0c658817e8c0e53e0cc0b6a6680b22","first_computed_at":"2026-07-05T07:47:14.760128Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:47:14.760128Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q0nSIk1Pl0QY9Chk5kuPjCI8eGwM1YVAGV8Z3NOAh+QtVSNRtXmEFzaC0ZTYyDj1C2e3PuNMMb9k/aAuNfGaDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:47:14.760550Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.12669","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ca49281a146acfd045130875e34f9b5620300dec4236e60592621e0f0fb6058","sha256:26e17b3f571f41575ce1da0ee566ed598009c27e2422b042e075966a91bb6614"],"state_sha256":"ff0e47bb8428a6f86cebeac4979a0b38bdfcfc21c46c5d200cc55e0362f00dce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K9zsUMzQ3Tt9DhQYXaGq66HFZ9xFOPtW6QwYgo4c9nkfpqSZ+KbVc908WtAhiO4xMoIyLYcE0Z9eKLQfXL48Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T14:43:09.700380Z","bundle_sha256":"8d883c18b6b8abb6a459e881f82eabd2ad02f886139a54e91f4586cc6e2b80d8"}}