{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:OGM6DWMQFSMFFYIS2NSSVKOL3R","short_pith_number":"pith:OGM6DWMQ","canonical_record":{"source":{"id":"2505.24504","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.NA","submitted_at":"2025-05-30T12:06:38Z","cross_cats_sorted":["cs.NA","physics.comp-ph"],"title_canon_sha256":"8a8268373d50326be19844c33ed67db3a586872945cd2cc7e3ced529d441c18b","abstract_canon_sha256":"9ac5e479ec59f97059515cbdc2bb670abe817082ac3e4f071d555c385148b29d"},"schema_version":"1.0"},"canonical_sha256":"7199e1d9902c9852e112d3652aa9cbdc785e4cdf68e3591b77d0eb36cb0b7a67","source":{"kind":"arxiv","id":"2505.24504","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.24504","created_at":"2026-07-05T11:12:51Z"},{"alias_kind":"arxiv_version","alias_value":"2505.24504v1","created_at":"2026-07-05T11:12:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.24504","created_at":"2026-07-05T11:12:51Z"},{"alias_kind":"pith_short_12","alias_value":"OGM6DWMQFSMF","created_at":"2026-07-05T11:12:51Z"},{"alias_kind":"pith_short_16","alias_value":"OGM6DWMQFSMFFYIS","created_at":"2026-07-05T11:12:51Z"},{"alias_kind":"pith_short_8","alias_value":"OGM6DWMQ","created_at":"2026-07-05T11:12:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:OGM6DWMQFSMFFYIS2NSSVKOL3R","target":"record","payload":{"canonical_record":{"source":{"id":"2505.24504","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.NA","submitted_at":"2025-05-30T12:06:38Z","cross_cats_sorted":["cs.NA","physics.comp-ph"],"title_canon_sha256":"8a8268373d50326be19844c33ed67db3a586872945cd2cc7e3ced529d441c18b","abstract_canon_sha256":"9ac5e479ec59f97059515cbdc2bb670abe817082ac3e4f071d555c385148b29d"},"schema_version":"1.0"},"canonical_sha256":"7199e1d9902c9852e112d3652aa9cbdc785e4cdf68e3591b77d0eb36cb0b7a67","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:12:51.277142Z","signature_b64":"HdPYXyHNKw/Ihsgvx3ypXLLtlrKnOjENuNJwMun98uIYIkjc5GJ35ErvN2dbVHtZUTypZvoDgxand6jtDcesBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7199e1d9902c9852e112d3652aa9cbdc785e4cdf68e3591b77d0eb36cb0b7a67","last_reissued_at":"2026-07-05T11:12:51.276598Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:12:51.276598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.24504","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":"2026-07-05T11:12:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LLPDZSVOdaDRodhxTXCmvT/HkaK40y0XkSdUEwE6q2OZo4/rA+SznxHOZS/+wvW3XJrHtewTZzCQeQtX8DJqBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T06:38:12.965465Z"},"content_sha256":"8f7315d6dbc4a38419622636318242cd054dcd3e6328162e70043d10764941de","schema_version":"1.0","event_id":"sha256:8f7315d6dbc4a38419622636318242cd054dcd3e6328162e70043d10764941de"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:OGM6DWMQFSMFFYIS2NSSVKOL3R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Jacobian-free Multigrid Preconditioner for Discontinuous Galerkin Methods applied to Numerical Weather Prediction","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["cs.NA","physics.comp-ph"],"primary_cat":"math.NA","authors_text":"Andreas Dedner, Philipp Birken, Robert Kl\\\"ofkorn","submitted_at":"2025-05-30T12:06:38Z","abstract_excerpt":"Discontinuous Galerkin (DG) methods are promising high order discretizations for unsteady compressible flows. Here, we focus on Numerical Weather Prediction (NWP). These flows are characterized by a fine resolution in $z$-direction and low Mach numbers, making the system stiff. Thus, implicit time integration is required and for this a fast, highly parallel, low-memory iterative solver for the resulting algebraic systems. As a basic framework, we use inexact Jacobian-Free Newton-GMRES with a preconditioner.\n  For low order finite volume discretizations, multigrid methods have been successfully"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.24504","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/2505.24504/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":"2026-07-05T11:12:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dZsOrygyueM8Ty3UM426I560o792U2rH0tHC7/YWqeq7OPP+4kjeCqPcE1gtIHqX2KMmeLUpHMADOEu/pEOuDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T06:38:12.965972Z"},"content_sha256":"6ab660035cb52e5fc5c7d5e413c684ba80ca5c15276b6c54b5fca292933cb68a","schema_version":"1.0","event_id":"sha256:6ab660035cb52e5fc5c7d5e413c684ba80ca5c15276b6c54b5fca292933cb68a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OGM6DWMQFSMFFYIS2NSSVKOL3R/bundle.json","state_url":"https://pith.science/pith/OGM6DWMQFSMFFYIS2NSSVKOL3R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OGM6DWMQFSMFFYIS2NSSVKOL3R/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":"2026-08-08T06:38:12Z","links":{"resolver":"https://pith.science/pith/OGM6DWMQFSMFFYIS2NSSVKOL3R","bundle":"https://pith.science/pith/OGM6DWMQFSMFFYIS2NSSVKOL3R/bundle.json","state":"https://pith.science/pith/OGM6DWMQFSMFFYIS2NSSVKOL3R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OGM6DWMQFSMFFYIS2NSSVKOL3R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OGM6DWMQFSMFFYIS2NSSVKOL3R","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":"9ac5e479ec59f97059515cbdc2bb670abe817082ac3e4f071d555c385148b29d","cross_cats_sorted":["cs.NA","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.NA","submitted_at":"2025-05-30T12:06:38Z","title_canon_sha256":"8a8268373d50326be19844c33ed67db3a586872945cd2cc7e3ced529d441c18b"},"schema_version":"1.0","source":{"id":"2505.24504","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.24504","created_at":"2026-07-05T11:12:51Z"},{"alias_kind":"arxiv_version","alias_value":"2505.24504v1","created_at":"2026-07-05T11:12:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.24504","created_at":"2026-07-05T11:12:51Z"},{"alias_kind":"pith_short_12","alias_value":"OGM6DWMQFSMF","created_at":"2026-07-05T11:12:51Z"},{"alias_kind":"pith_short_16","alias_value":"OGM6DWMQFSMFFYIS","created_at":"2026-07-05T11:12:51Z"},{"alias_kind":"pith_short_8","alias_value":"OGM6DWMQ","created_at":"2026-07-05T11:12:51Z"}],"graph_snapshots":[{"event_id":"sha256:6ab660035cb52e5fc5c7d5e413c684ba80ca5c15276b6c54b5fca292933cb68a","target":"graph","created_at":"2026-07-05T11:12:51Z","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/2505.24504/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Discontinuous Galerkin (DG) methods are promising high order discretizations for unsteady compressible flows. Here, we focus on Numerical Weather Prediction (NWP). These flows are characterized by a fine resolution in $z$-direction and low Mach numbers, making the system stiff. Thus, implicit time integration is required and for this a fast, highly parallel, low-memory iterative solver for the resulting algebraic systems. As a basic framework, we use inexact Jacobian-Free Newton-GMRES with a preconditioner.\n  For low order finite volume discretizations, multigrid methods have been successfully","authors_text":"Andreas Dedner, Philipp Birken, Robert Kl\\\"ofkorn","cross_cats":["cs.NA","physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.NA","submitted_at":"2025-05-30T12:06:38Z","title":"Jacobian-free Multigrid Preconditioner for Discontinuous Galerkin Methods applied to Numerical Weather Prediction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.24504","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":"sha256:8f7315d6dbc4a38419622636318242cd054dcd3e6328162e70043d10764941de","target":"record","created_at":"2026-07-05T11:12:51Z","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":"9ac5e479ec59f97059515cbdc2bb670abe817082ac3e4f071d555c385148b29d","cross_cats_sorted":["cs.NA","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.NA","submitted_at":"2025-05-30T12:06:38Z","title_canon_sha256":"8a8268373d50326be19844c33ed67db3a586872945cd2cc7e3ced529d441c18b"},"schema_version":"1.0","source":{"id":"2505.24504","kind":"arxiv","version":1}},"canonical_sha256":"7199e1d9902c9852e112d3652aa9cbdc785e4cdf68e3591b77d0eb36cb0b7a67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7199e1d9902c9852e112d3652aa9cbdc785e4cdf68e3591b77d0eb36cb0b7a67","first_computed_at":"2026-07-05T11:12:51.276598Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:12:51.276598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HdPYXyHNKw/Ihsgvx3ypXLLtlrKnOjENuNJwMun98uIYIkjc5GJ35ErvN2dbVHtZUTypZvoDgxand6jtDcesBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:12:51.277142Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.24504","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f7315d6dbc4a38419622636318242cd054dcd3e6328162e70043d10764941de","sha256:6ab660035cb52e5fc5c7d5e413c684ba80ca5c15276b6c54b5fca292933cb68a"],"state_sha256":"37fecc534c7e68472b0a967c32e1011e245b95eb7ede4b53069c5b858da36ef7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"muUiAYss0bgqP0OnzU9oPYAEfVdSM8YU5SkB/4SjXuBYosYdohjq5e+hQ6WSE3qP0egIYQZizE/UWfhQuGd0Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T06:38:12.969970Z","bundle_sha256":"37f346b85078f94dab435c300833760cd1cd4a712cbb429ac2212531b9b882dd"}}