{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:B6YQ662PPTSGENG2XBWRTWPL3X","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":"e42d103090edeef41d57751162bd49e4f43614cf8ebd89682d9641cc2b4d39b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2010-06-01T14:21:07Z","title_canon_sha256":"c77942f168b92afa4aaaf6ad36497303c35efdd808d59907583bef8c25a8b501"},"schema_version":"1.0","source":{"id":"1006.0139","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.0139","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"arxiv_version","alias_value":"1006.0139v1","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.0139","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"pith_short_12","alias_value":"B6YQ662PPTSG","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"B6YQ662PPTSGENG2","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"B6YQ662P","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:20c58c11c88defac311642c55e700f3a2cc79599af6d98ef5c54e7de30bfcc01","target":"graph","created_at":"2026-05-18T02:07:06Z","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":"We describe the implementation of the shearing box approximation for the study of the dynamics of accretion disks in the Athena magnetohydrodynamics (MHD) code. Second-order Crank-Nicholson time differencing is used for the Coriolis and tidal gravity source terms that appear in the momentum equation for accuracy and stability. We show this approach conserves energy for epicyclic oscillations in hydrodynamic flows to round-off error. In the energy equation, the tidal gravity source terms are differenced as the gradient of an effective potential in a way which guarantees that total energy (inclu","authors_text":"James M. Stone, Thomas A. Gardiner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2010-06-01T14:21:07Z","title":"Implementation of the Shearing Box Approximation in Athena"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.0139","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":"sha256:67ee53b8630b49cf7ea1fdd852105510961c74491a2e47ff2109c0ed28a7f945","target":"record","created_at":"2026-05-18T02:07:06Z","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":"e42d103090edeef41d57751162bd49e4f43614cf8ebd89682d9641cc2b4d39b5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2010-06-01T14:21:07Z","title_canon_sha256":"c77942f168b92afa4aaaf6ad36497303c35efdd808d59907583bef8c25a8b501"},"schema_version":"1.0","source":{"id":"1006.0139","kind":"arxiv","version":1}},"canonical_sha256":"0fb10f7b4f7ce46234dab86d19d9ebddcab29d20840d4726b5a675df7c0a3c8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0fb10f7b4f7ce46234dab86d19d9ebddcab29d20840d4726b5a675df7c0a3c8b","first_computed_at":"2026-05-18T02:07:06.053966Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:07:06.053966Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mT9QbS90VfgdMT9wzojeKNZiMK1dkkT2DKyUFMvUBSH1yq6Avmtd2IFTwtxL4wjWA9TEcAnlrtVkwQrNWZQZBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:07:06.054480Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.0139","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67ee53b8630b49cf7ea1fdd852105510961c74491a2e47ff2109c0ed28a7f945","sha256:20c58c11c88defac311642c55e700f3a2cc79599af6d98ef5c54e7de30bfcc01"],"state_sha256":"d7957660ca0a4d54353d0983e1a6adb0f7f219eff17606fd758e7c57f39053a1"}