{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:EA4F67PKYGFS2FJVGAALZZZL4M","short_pith_number":"pith:EA4F67PK","schema_version":"1.0","canonical_sha256":"20385f7deac18b2d15353000bce72be30ddb3ffaae1e7b18fde7b8a1483f9dae","source":{"kind":"arxiv","id":"2512.05298","version":2},"attestation_state":"computed","paper":{"title":"A Conservative Discontinuous Galerkin Algorithm for Particle Kinetics on Smooth Manifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","physics.plasm-ph"],"primary_cat":"physics.comp-ph","authors_text":"Ammar Hakim, Grant Johnson, James Juno","submitted_at":"2025-12-04T22:33:37Z","abstract_excerpt":"A novel, conservative discontinuous Galerkin algorithm is presented for particle kinetics on manifolds. The motion of particles on the manifold is represented using using both canonical and non-canonical Hamiltonian formulations. Our schemes apply to either formulations, but the canonical formulation results in a particularly efficient scheme that also conserves particle density and energy exactly. The collisionless update is coupled to a Bhatnagar-Gross-Krook (BGK) collision operator that provides a simplified model for relaxation to local thermodynamic equilibrium. An iterative scheme is con"},"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":"2512.05298","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-12-04T22:33:37Z","cross_cats_sorted":["gr-qc","physics.plasm-ph"],"title_canon_sha256":"cfa75d55f207de941137c3d33f5a667a876f51f62ed6b9748c9e37184e843ff9","abstract_canon_sha256":"5523526db4a5097fcd206f13f7f7a26b94b39fa519438e4ec134ba020c8efc5c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:05:38.741881Z","signature_b64":"dYIXRCvp0vFgBm7RJqVZBL+HpJPFiUHw5+fB3HdSQDwn5QfC14hgWLQtK80/NYeDZRGaAPdw3dA4fzHAG6PwAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20385f7deac18b2d15353000bce72be30ddb3ffaae1e7b18fde7b8a1483f9dae","last_reissued_at":"2026-05-20T00:05:38.740929Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:05:38.740929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Conservative Discontinuous Galerkin Algorithm for Particle Kinetics on Smooth Manifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","physics.plasm-ph"],"primary_cat":"physics.comp-ph","authors_text":"Ammar Hakim, Grant Johnson, James Juno","submitted_at":"2025-12-04T22:33:37Z","abstract_excerpt":"A novel, conservative discontinuous Galerkin algorithm is presented for particle kinetics on manifolds. The motion of particles on the manifold is represented using using both canonical and non-canonical Hamiltonian formulations. Our schemes apply to either formulations, but the canonical formulation results in a particularly efficient scheme that also conserves particle density and energy exactly. The collisionless update is coupled to a Bhatnagar-Gross-Krook (BGK) collision operator that provides a simplified model for relaxation to local thermodynamic equilibrium. An iterative scheme is con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.05298","kind":"arxiv","version":2},"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/2512.05298/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":"2512.05298","created_at":"2026-05-20T00:05:38.741102+00:00"},{"alias_kind":"arxiv_version","alias_value":"2512.05298v2","created_at":"2026-05-20T00:05:38.741102+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.05298","created_at":"2026-05-20T00:05:38.741102+00:00"},{"alias_kind":"pith_short_12","alias_value":"EA4F67PKYGFS","created_at":"2026-05-20T00:05:38.741102+00:00"},{"alias_kind":"pith_short_16","alias_value":"EA4F67PKYGFS2FJV","created_at":"2026-05-20T00:05:38.741102+00:00"},{"alias_kind":"pith_short_8","alias_value":"EA4F67PK","created_at":"2026-05-20T00:05:38.741102+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/EA4F67PKYGFS2FJVGAALZZZL4M","json":"https://pith.science/pith/EA4F67PKYGFS2FJVGAALZZZL4M.json","graph_json":"https://pith.science/api/pith-number/EA4F67PKYGFS2FJVGAALZZZL4M/graph.json","events_json":"https://pith.science/api/pith-number/EA4F67PKYGFS2FJVGAALZZZL4M/events.json","paper":"https://pith.science/paper/EA4F67PK"},"agent_actions":{"view_html":"https://pith.science/pith/EA4F67PKYGFS2FJVGAALZZZL4M","download_json":"https://pith.science/pith/EA4F67PKYGFS2FJVGAALZZZL4M.json","view_paper":"https://pith.science/paper/EA4F67PK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2512.05298&json=true","fetch_graph":"https://pith.science/api/pith-number/EA4F67PKYGFS2FJVGAALZZZL4M/graph.json","fetch_events":"https://pith.science/api/pith-number/EA4F67PKYGFS2FJVGAALZZZL4M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EA4F67PKYGFS2FJVGAALZZZL4M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EA4F67PKYGFS2FJVGAALZZZL4M/action/storage_attestation","attest_author":"https://pith.science/pith/EA4F67PKYGFS2FJVGAALZZZL4M/action/author_attestation","sign_citation":"https://pith.science/pith/EA4F67PKYGFS2FJVGAALZZZL4M/action/citation_signature","submit_replication":"https://pith.science/pith/EA4F67PKYGFS2FJVGAALZZZL4M/action/replication_record"}},"created_at":"2026-05-20T00:05:38.741102+00:00","updated_at":"2026-05-20T00:05:38.741102+00:00"}