{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:A2KSQIX3QTEBDHBBRK3SBL5IXV","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":"f3969c2db64ba17d932b25d4cc4b974c52a0d5dcefdd78d5d710642857c8de8f","cross_cats_sorted":["astro-ph.SR","cs.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-05-04T19:36:05Z","title_canon_sha256":"9100a2cea4016f493bcf008c75de7636f426f16711cdc21f592486a600f68ed8"},"schema_version":"1.0","source":{"id":"2005.01811","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.01811","created_at":"2026-07-05T01:59:29Z"},{"alias_kind":"arxiv_version","alias_value":"2005.01811v4","created_at":"2026-07-05T01:59:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.01811","created_at":"2026-07-05T01:59:29Z"},{"alias_kind":"pith_short_12","alias_value":"A2KSQIX3QTEB","created_at":"2026-07-05T01:59:29Z"},{"alias_kind":"pith_short_16","alias_value":"A2KSQIX3QTEBDHBB","created_at":"2026-07-05T01:59:29Z"},{"alias_kind":"pith_short_8","alias_value":"A2KSQIX3","created_at":"2026-07-05T01:59:29Z"}],"graph_snapshots":[{"event_id":"sha256:f22eaa9b9ed3fbf0df25e3f554fb518dcda420d4ae3d1717597f7af11dfb0c49","target":"graph","created_at":"2026-07-05T01:59:29Z","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/2005.01811/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce novel high order well-balanced finite volume methods for the full compressible Euler system with gravity source term. They require no a priori knowledge of the hydrostatic solution which is to be well-balanced and are not restricted to certain classes of hydrostatic solutions. In one spatial dimension we construct a method that exactly balances a high order discretization of any hydrostatic state. The method is extended to two spatial dimensions using a local high order approximation of a hydrostatic state in each cell. The proposed simple, flexible, and robust methods are not res","authors_text":"Christian Klingenberg, Jonas P. Berberich, Praveen Chandrashekar, Roger K\\\"appeli","cross_cats":["astro-ph.SR","cs.NA","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-05-04T19:36:05Z","title":"High order discretely well-balanced methods for arbitrary hydrostatic atmospheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.01811","kind":"arxiv","version":4},"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":"sha256:5400adf6884bfbf2d69ceeb87c463fa4a6d91d6592cb049a2795bc30220196bc","target":"record","created_at":"2026-07-05T01:59:29Z","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":"f3969c2db64ba17d932b25d4cc4b974c52a0d5dcefdd78d5d710642857c8de8f","cross_cats_sorted":["astro-ph.SR","cs.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-05-04T19:36:05Z","title_canon_sha256":"9100a2cea4016f493bcf008c75de7636f426f16711cdc21f592486a600f68ed8"},"schema_version":"1.0","source":{"id":"2005.01811","kind":"arxiv","version":4}},"canonical_sha256":"06952822fb84c8119c218ab720afa8bd7db8962e2422afb91e3ac6f7ad2a0f7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06952822fb84c8119c218ab720afa8bd7db8962e2422afb91e3ac6f7ad2a0f7a","first_computed_at":"2026-07-05T01:59:29.215844Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:59:29.215844Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H21CS2aQWlf6YfuxeaZDa8TpSIETjMQWDad8DrfYo0XnsidE5wSYuqh2R8F5ArwrNGL/YRlsQPURIHomEkJSDA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:59:29.216305Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.01811","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5400adf6884bfbf2d69ceeb87c463fa4a6d91d6592cb049a2795bc30220196bc","sha256:f22eaa9b9ed3fbf0df25e3f554fb518dcda420d4ae3d1717597f7af11dfb0c49"],"state_sha256":"9c5c7ddc26b169516d012cdfed5a6d5ee0f251c8d64221eeda3d9446b826bc22"}