{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:NNSNGRFGSEQR54FMDO3RVXAGTT","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":"06e70f8d707f467c5055820ca4042627aa29766590b91872622cc249c38295c7","cross_cats_sorted":["cs.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-08-24T17:55:21Z","title_canon_sha256":"080d611dd68baf2054888148474431ae3e678a26b3d2f1c90c1a5aa0e6e6cb2d"},"schema_version":"1.0","source":{"id":"2008.10593","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.10593","created_at":"2026-07-05T02:53:27Z"},{"alias_kind":"arxiv_version","alias_value":"2008.10593v3","created_at":"2026-07-05T02:53:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.10593","created_at":"2026-07-05T02:53:27Z"},{"alias_kind":"pith_short_12","alias_value":"NNSNGRFGSEQR","created_at":"2026-07-05T02:53:27Z"},{"alias_kind":"pith_short_16","alias_value":"NNSNGRFGSEQR54FM","created_at":"2026-07-05T02:53:27Z"},{"alias_kind":"pith_short_8","alias_value":"NNSNGRFG","created_at":"2026-07-05T02:53:27Z"}],"graph_snapshots":[{"event_id":"sha256:b93ffeef76512eceacab334964e0016992877071a6380b54b3f5a96484c40eee","target":"graph","created_at":"2026-07-05T02:53:27Z","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/2008.10593/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"One of the challenges when simulating astrophysical flows with self-gravity is to compute the gravitational forces. In contrast to the hyperbolic hydrodynamic equations, the gravity field is described by an elliptic Poisson equation. We present a purely hyperbolic approach by reformulating the elliptic problem into a hyperbolic diffusion problem, which is solved in pseudotime using the same explicit high-order discontinuous Galerkin method we use for the flow solution. The flow and the gravity solvers operate on a joint hierarchical Cartesian mesh and are two-way coupled via the source terms. ","authors_text":"Andrew R. Winters, Gregor J. Gassner, Hendrik Ranocha, Michael Schlottke-Lakemper","cross_cats":["cs.NA","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-08-24T17:55:21Z","title":"A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.10593","kind":"arxiv","version":3},"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:cadb266c94c8ad0c0a881690c1424bcda5385e3228789a57dccc27f52030993e","target":"record","created_at":"2026-07-05T02:53:27Z","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":"06e70f8d707f467c5055820ca4042627aa29766590b91872622cc249c38295c7","cross_cats_sorted":["cs.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2020-08-24T17:55:21Z","title_canon_sha256":"080d611dd68baf2054888148474431ae3e678a26b3d2f1c90c1a5aa0e6e6cb2d"},"schema_version":"1.0","source":{"id":"2008.10593","kind":"arxiv","version":3}},"canonical_sha256":"6b64d344a691211ef0ac1bb71adc069cd9dd28a955b4d854704c564b2b40a87c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b64d344a691211ef0ac1bb71adc069cd9dd28a955b4d854704c564b2b40a87c","first_computed_at":"2026-07-05T02:53:27.031123Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:53:27.031123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iUTCtn8LAK2OdbD4IknZei1ikE/AhRHTqA5bBRVwasCZ61Kxgs+ZKkYiIXlIojpgL7feHbITX27S9VoWTMIAAw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:53:27.031569Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.10593","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cadb266c94c8ad0c0a881690c1424bcda5385e3228789a57dccc27f52030993e","sha256:b93ffeef76512eceacab334964e0016992877071a6380b54b3f5a96484c40eee"],"state_sha256":"7ca2cc38a34a67ed8dfdfb406750473851e705f57b1dbe65c79fc95f3947dfad"}