{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:PFFJO2CTJ7OXOJO7WK3HHW5TJ7","short_pith_number":"pith:PFFJO2CT","canonical_record":{"source":{"id":"1403.1282","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-05T22:12:20Z","cross_cats_sorted":[],"title_canon_sha256":"56d90dfa362057b3d93055159337efd1f60548f7cfd2a7d119206ee3f517a6fe","abstract_canon_sha256":"0341f81b853e35f089963d2049fa395c59a9e945c8fee9da719fc8a70d0e3819"},"schema_version":"1.0"},"canonical_sha256":"794a9768534fdd7725dfb2b673dbb34fedb0825aeb0f6348fc97eb2e8334bc7e","source":{"kind":"arxiv","id":"1403.1282","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1282","created_at":"2026-05-18T02:44:00Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1282v2","created_at":"2026-05-18T02:44:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1282","created_at":"2026-05-18T02:44:00Z"},{"alias_kind":"pith_short_12","alias_value":"PFFJO2CTJ7OX","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PFFJO2CTJ7OXOJO7","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PFFJO2CT","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:PFFJO2CTJ7OXOJO7WK3HHW5TJ7","target":"record","payload":{"canonical_record":{"source":{"id":"1403.1282","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-05T22:12:20Z","cross_cats_sorted":[],"title_canon_sha256":"56d90dfa362057b3d93055159337efd1f60548f7cfd2a7d119206ee3f517a6fe","abstract_canon_sha256":"0341f81b853e35f089963d2049fa395c59a9e945c8fee9da719fc8a70d0e3819"},"schema_version":"1.0"},"canonical_sha256":"794a9768534fdd7725dfb2b673dbb34fedb0825aeb0f6348fc97eb2e8334bc7e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:00.447000Z","signature_b64":"AhyTc4WRw8UfpTPYy5gxu17HI5JjnT2xHgtc2eRl5DXbJZhTSw31FRSHH/VWcKc17TBksjO+5w9ib9Nrx66OAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"794a9768534fdd7725dfb2b673dbb34fedb0825aeb0f6348fc97eb2e8334bc7e","last_reissued_at":"2026-05-18T02:44:00.446637Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:00.446637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.1282","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":"2026-05-18T02:44:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UXSKCq0OPgEwAaGNmnsURAOSwPyUjmXGacGA12tD5rfneO2FaL66pdqSrFuWLlzP9j2jmzyqlPQ7hENtfHHWCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T09:53:07.260611Z"},"content_sha256":"65c7242cbd1df7176efc7122f85c0663f89c564e886247e664405ee77c59d8c4","schema_version":"1.0","event_id":"sha256:65c7242cbd1df7176efc7122f85c0663f89c564e886247e664405ee77c59d8c4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:PFFJO2CTJ7OXOJO7WK3HHW5TJ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Picard integral formulation of weighted essentially non-oscillatory schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Andrew J. Christlieb, David C. Seal, Yaman G\\\"u\\c{c}l\\\"u","submitted_at":"2014-03-05T22:12:20Z","abstract_excerpt":"High-order temporal discretizations for hyperbolic conservation laws have historically been formulated as either a method of lines (MOL) or a Lax-Wendroff method. In the MOL viewpoint, the partial differential equation is treated as a large system of ordinary differential equations (ODEs), where an ODE tailored time-integrator is applied. In contrast, Lax-Wendroff discretizations immediately convert Taylor series in time to discrete spatial derivatives. In this work, we propose the Picard integral formulation (PIF), which is based on the method of modified fluxes, and is used to derive new Tay"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1282","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":"2026-05-18T02:44:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fdmh6Y2HWKzabQrq6iB4887GszfZhCzS+IpztI5UfHghPdESdcaVSlNVeZP5SxG6JMWTLVgIiBIJLVAYU/19Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T09:53:07.260959Z"},"content_sha256":"3a5bdd844ed379b5f4f7079d67bad20460d3894dfb26d5bcb944a7d0987ce7fb","schema_version":"1.0","event_id":"sha256:3a5bdd844ed379b5f4f7079d67bad20460d3894dfb26d5bcb944a7d0987ce7fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PFFJO2CTJ7OXOJO7WK3HHW5TJ7/bundle.json","state_url":"https://pith.science/pith/PFFJO2CTJ7OXOJO7WK3HHW5TJ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PFFJO2CTJ7OXOJO7WK3HHW5TJ7/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":"2026-06-30T09:53:07Z","links":{"resolver":"https://pith.science/pith/PFFJO2CTJ7OXOJO7WK3HHW5TJ7","bundle":"https://pith.science/pith/PFFJO2CTJ7OXOJO7WK3HHW5TJ7/bundle.json","state":"https://pith.science/pith/PFFJO2CTJ7OXOJO7WK3HHW5TJ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PFFJO2CTJ7OXOJO7WK3HHW5TJ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:PFFJO2CTJ7OXOJO7WK3HHW5TJ7","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":"0341f81b853e35f089963d2049fa395c59a9e945c8fee9da719fc8a70d0e3819","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-05T22:12:20Z","title_canon_sha256":"56d90dfa362057b3d93055159337efd1f60548f7cfd2a7d119206ee3f517a6fe"},"schema_version":"1.0","source":{"id":"1403.1282","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1282","created_at":"2026-05-18T02:44:00Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1282v2","created_at":"2026-05-18T02:44:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1282","created_at":"2026-05-18T02:44:00Z"},{"alias_kind":"pith_short_12","alias_value":"PFFJO2CTJ7OX","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PFFJO2CTJ7OXOJO7","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PFFJO2CT","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:3a5bdd844ed379b5f4f7079d67bad20460d3894dfb26d5bcb944a7d0987ce7fb","target":"graph","created_at":"2026-05-18T02:44:00Z","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":"High-order temporal discretizations for hyperbolic conservation laws have historically been formulated as either a method of lines (MOL) or a Lax-Wendroff method. In the MOL viewpoint, the partial differential equation is treated as a large system of ordinary differential equations (ODEs), where an ODE tailored time-integrator is applied. In contrast, Lax-Wendroff discretizations immediately convert Taylor series in time to discrete spatial derivatives. In this work, we propose the Picard integral formulation (PIF), which is based on the method of modified fluxes, and is used to derive new Tay","authors_text":"Andrew J. Christlieb, David C. Seal, Yaman G\\\"u\\c{c}l\\\"u","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-05T22:12:20Z","title":"The Picard integral formulation of weighted essentially non-oscillatory schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1282","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":"sha256:65c7242cbd1df7176efc7122f85c0663f89c564e886247e664405ee77c59d8c4","target":"record","created_at":"2026-05-18T02:44:00Z","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":"0341f81b853e35f089963d2049fa395c59a9e945c8fee9da719fc8a70d0e3819","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-05T22:12:20Z","title_canon_sha256":"56d90dfa362057b3d93055159337efd1f60548f7cfd2a7d119206ee3f517a6fe"},"schema_version":"1.0","source":{"id":"1403.1282","kind":"arxiv","version":2}},"canonical_sha256":"794a9768534fdd7725dfb2b673dbb34fedb0825aeb0f6348fc97eb2e8334bc7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"794a9768534fdd7725dfb2b673dbb34fedb0825aeb0f6348fc97eb2e8334bc7e","first_computed_at":"2026-05-18T02:44:00.446637Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:00.446637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AhyTc4WRw8UfpTPYy5gxu17HI5JjnT2xHgtc2eRl5DXbJZhTSw31FRSHH/VWcKc17TBksjO+5w9ib9Nrx66OAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:00.447000Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.1282","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65c7242cbd1df7176efc7122f85c0663f89c564e886247e664405ee77c59d8c4","sha256:3a5bdd844ed379b5f4f7079d67bad20460d3894dfb26d5bcb944a7d0987ce7fb"],"state_sha256":"77ef5cf479c34d3f1f20f6ced013e8cde305b263bbc4a7a7902553e3d66cbebc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pa0zCc8oYIOclGSgZJdkjI/oGeg0qY4rp/DWFciCrzeivSHeefZZlSFPA68z6S5Vb+lEX07pNclqX7+/0UopCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T09:53:07.262956Z","bundle_sha256":"202fd8e754b789927af5fc3810dd68cae15c7093eca1643d27a146d368e03625"}}