{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:UVPRW3Z3Z7H4RX4L52A6X2MKPK","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":"98fc41928b0ab77c718bef970708174511559d0f595edf3a7cba09fdb37e229b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-19T10:28:25Z","title_canon_sha256":"187a41836d1039a1773f4c01a40fe020d1c44a6a529f07b7bafe4f13ecac2375"},"schema_version":"1.0","source":{"id":"2606.21303","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.21303","created_at":"2026-06-23T01:12:36Z"},{"alias_kind":"arxiv_version","alias_value":"2606.21303v1","created_at":"2026-06-23T01:12:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21303","created_at":"2026-06-23T01:12:36Z"},{"alias_kind":"pith_short_12","alias_value":"UVPRW3Z3Z7H4","created_at":"2026-06-23T01:12:36Z"},{"alias_kind":"pith_short_16","alias_value":"UVPRW3Z3Z7H4RX4L","created_at":"2026-06-23T01:12:36Z"},{"alias_kind":"pith_short_8","alias_value":"UVPRW3Z3","created_at":"2026-06-23T01:12:36Z"}],"graph_snapshots":[{"event_id":"sha256:244fa4dee36e7400e24e311c2310446d87cd1fbc445cba640846dc3ab58bf543","target":"graph","created_at":"2026-06-23T01:12:36Z","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/2606.21303/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This article builds upon our recently published fully discrete Cartesian grid Active Flux method for the Euler equations by introducing a new evolution operator for the linearized Euler equations. The evolution of the point value degrees of freedom located at grid cell boundaries and used to compute numerical fluxes is a key component of fully discrete Active Flux methods. Our methods are based on local linearizations of the Euler equations and the use of truly multi-dimensional evolution operators for these linearized problems. Here, we propose to solve the linearized Euler equations in movin","authors_text":"Amelie Porfetye, Christiane Helzel","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-19T10:28:25Z","title":"A fully discrete Active Flux method for the Euler equations comparing different truly multi-dimensional evolution operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21303","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":"sha256:5a66efa9f0b5719adc13ec8d432279ca1868610bde944dda11b85e648aefcb1b","target":"record","created_at":"2026-06-23T01:12:36Z","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":"98fc41928b0ab77c718bef970708174511559d0f595edf3a7cba09fdb37e229b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-19T10:28:25Z","title_canon_sha256":"187a41836d1039a1773f4c01a40fe020d1c44a6a529f07b7bafe4f13ecac2375"},"schema_version":"1.0","source":{"id":"2606.21303","kind":"arxiv","version":1}},"canonical_sha256":"a55f1b6f3bcfcfc8df8bee81ebe98a7ab7ca33c36e35c3f3d2b487302d3a3d90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a55f1b6f3bcfcfc8df8bee81ebe98a7ab7ca33c36e35c3f3d2b487302d3a3d90","first_computed_at":"2026-06-23T01:12:36.591495Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T01:12:36.591495Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N14RHBg6fsMaWpbeHekG7ggFE9EE2rMnmOCoJl6DLfwtPFx+RRU/phX03PScZDP4glDyQGZT6dzP/5O81Z8QBg==","signature_status":"signed_v1","signed_at":"2026-06-23T01:12:36.592009Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.21303","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a66efa9f0b5719adc13ec8d432279ca1868610bde944dda11b85e648aefcb1b","sha256:244fa4dee36e7400e24e311c2310446d87cd1fbc445cba640846dc3ab58bf543"],"state_sha256":"1ccd9bdfceca3c0438a1e6f095d59e5317ceded91445592408d280ef3121da71"}