{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:SBVTU2PSOFV4I54U2ZFBVFNWTA","short_pith_number":"pith:SBVTU2PS","schema_version":"1.0","canonical_sha256":"906b3a69f2716bc47794d64a1a95b698020315f6bc51ddc056bbd74d1137e01e","source":{"kind":"arxiv","id":"2309.15907","version":1},"attestation_state":"computed","paper":{"title":"Non-ideal magnetohydrodynamics on a moving mesh II: Hall effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"Alexander C. Mayer, Oliver Zier, Volker Springel","submitted_at":"2023-09-27T18:00:02Z","abstract_excerpt":"In this work we extend the non-ideal magnetohydrodynamics (MHD) solver in the moving mesh code AREPO to include the Hall effect. The core of our algorithm is based on an estimation of the magnetic field gradients by a least-square reconstruction on the unstructured mesh, which we also used in the companion paper for Ohmic and ambipolar diffusion. In an extensive study of simulations of a magnetic shock, we show that without additional magnetic diffusion our algorithm for the Hall effect becomes unstable at high resolution. We can however stabilise it by artificially increasing the Ohmic resist"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2309.15907","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2023-09-27T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"ef0e69dbb58a87c880a1591f8c6bdfc572bc819e2e58ef5a1b2787f2d7a07627","abstract_canon_sha256":"fc9831af734c91f6c6ac2df278b8c32f05e14947aacebe87cf43f00d9373e58a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:55:08.162843Z","signature_b64":"2965Dfv84nMlF/MSiAcmVDhvJUNbzdlulz4K5Vq5lNJ1RNU3OfX89LF64h6PFv3Vz+Ft6viHim1B70Klt+RIAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"906b3a69f2716bc47794d64a1a95b698020315f6bc51ddc056bbd74d1137e01e","last_reissued_at":"2026-07-05T06:55:08.162433Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:55:08.162433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-ideal magnetohydrodynamics on a moving mesh II: Hall effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"Alexander C. Mayer, Oliver Zier, Volker Springel","submitted_at":"2023-09-27T18:00:02Z","abstract_excerpt":"In this work we extend the non-ideal magnetohydrodynamics (MHD) solver in the moving mesh code AREPO to include the Hall effect. The core of our algorithm is based on an estimation of the magnetic field gradients by a least-square reconstruction on the unstructured mesh, which we also used in the companion paper for Ohmic and ambipolar diffusion. In an extensive study of simulations of a magnetic shock, we show that without additional magnetic diffusion our algorithm for the Hall effect becomes unstable at high resolution. We can however stabilise it by artificially increasing the Ohmic resist"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.15907","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/2309.15907/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2309.15907","created_at":"2026-07-05T06:55:08.162489+00:00"},{"alias_kind":"arxiv_version","alias_value":"2309.15907v1","created_at":"2026-07-05T06:55:08.162489+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.15907","created_at":"2026-07-05T06:55:08.162489+00:00"},{"alias_kind":"pith_short_12","alias_value":"SBVTU2PSOFV4","created_at":"2026-07-05T06:55:08.162489+00:00"},{"alias_kind":"pith_short_16","alias_value":"SBVTU2PSOFV4I54U","created_at":"2026-07-05T06:55:08.162489+00:00"},{"alias_kind":"pith_short_8","alias_value":"SBVTU2PS","created_at":"2026-07-05T06:55:08.162489+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SBVTU2PSOFV4I54U2ZFBVFNWTA","json":"https://pith.science/pith/SBVTU2PSOFV4I54U2ZFBVFNWTA.json","graph_json":"https://pith.science/api/pith-number/SBVTU2PSOFV4I54U2ZFBVFNWTA/graph.json","events_json":"https://pith.science/api/pith-number/SBVTU2PSOFV4I54U2ZFBVFNWTA/events.json","paper":"https://pith.science/paper/SBVTU2PS"},"agent_actions":{"view_html":"https://pith.science/pith/SBVTU2PSOFV4I54U2ZFBVFNWTA","download_json":"https://pith.science/pith/SBVTU2PSOFV4I54U2ZFBVFNWTA.json","view_paper":"https://pith.science/paper/SBVTU2PS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2309.15907&json=true","fetch_graph":"https://pith.science/api/pith-number/SBVTU2PSOFV4I54U2ZFBVFNWTA/graph.json","fetch_events":"https://pith.science/api/pith-number/SBVTU2PSOFV4I54U2ZFBVFNWTA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SBVTU2PSOFV4I54U2ZFBVFNWTA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SBVTU2PSOFV4I54U2ZFBVFNWTA/action/storage_attestation","attest_author":"https://pith.science/pith/SBVTU2PSOFV4I54U2ZFBVFNWTA/action/author_attestation","sign_citation":"https://pith.science/pith/SBVTU2PSOFV4I54U2ZFBVFNWTA/action/citation_signature","submit_replication":"https://pith.science/pith/SBVTU2PSOFV4I54U2ZFBVFNWTA/action/replication_record"}},"created_at":"2026-07-05T06:55:08.162489+00:00","updated_at":"2026-07-05T06:55:08.162489+00:00"}