{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:V4OVV2GOB4KV6TTTHT2SC45XAX","short_pith_number":"pith:V4OVV2GO","schema_version":"1.0","canonical_sha256":"af1d5ae8ce0f155f4e733cf52173b705e7633f473ca73ffc78165e2a8070de57","source":{"kind":"arxiv","id":"1411.0579","version":1},"attestation_state":"computed","paper":{"title":"Variational Formulation of E & M Particle Simulation Algorithms in Cylindrical Geometry using an Angular Modal Decomposition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.plasm-ph"],"primary_cat":"physics.comp-ph","authors_text":"A. B. Stamm, B. A. Shadwick","submitted_at":"2014-11-03T17:47:31Z","abstract_excerpt":"Taking advantage of the flexibility of the variational method with coordinate transformations, we derive a self-consistent set of equations of motion from a discretized Lagrangian to study kinetic plasmas using a Fourier decomposed cylindrical coordinate system. The phase-space distribution function was reduced to a collection of finite-sized macro-particles of arbitrary shape moving on a virtual Cartesian grid. However, the discretization of field quantities was performed in cylindrical coordinates and decomposed into a truncated Fourier series in angle. A straightforward finite element inter"},"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":"1411.0579","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2014-11-03T17:47:31Z","cross_cats_sorted":["physics.plasm-ph"],"title_canon_sha256":"27663ac3ddfdf0fb323d1fb0d68357847a5eb6f7e7928afdef5320a4435a83eb","abstract_canon_sha256":"d7bad0ceb780d8c814a31532ccedf6db1e8552c06ca39d9c5df152d6ba637b38"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:45.091470Z","signature_b64":"uGc4wZReHBcNwPKCj4YKQR6Yq6d5QtBnWAyAPZ3uk/OPETxjYlgTCUa8UrfuwoqqPez/8Y4PAqwDz/TTfyLyCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af1d5ae8ce0f155f4e733cf52173b705e7633f473ca73ffc78165e2a8070de57","last_reissued_at":"2026-05-18T02:38:45.090864Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:45.090864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Variational Formulation of E & M Particle Simulation Algorithms in Cylindrical Geometry using an Angular Modal Decomposition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.plasm-ph"],"primary_cat":"physics.comp-ph","authors_text":"A. B. Stamm, B. A. Shadwick","submitted_at":"2014-11-03T17:47:31Z","abstract_excerpt":"Taking advantage of the flexibility of the variational method with coordinate transformations, we derive a self-consistent set of equations of motion from a discretized Lagrangian to study kinetic plasmas using a Fourier decomposed cylindrical coordinate system. The phase-space distribution function was reduced to a collection of finite-sized macro-particles of arbitrary shape moving on a virtual Cartesian grid. However, the discretization of field quantities was performed in cylindrical coordinates and decomposed into a truncated Fourier series in angle. A straightforward finite element inter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0579","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":""},"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":"1411.0579","created_at":"2026-05-18T02:38:45.090953+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.0579v1","created_at":"2026-05-18T02:38:45.090953+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0579","created_at":"2026-05-18T02:38:45.090953+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/V4OVV2GOB4KV6TTTHT2SC45XAX","json":"https://pith.science/pith/V4OVV2GOB4KV6TTTHT2SC45XAX.json","graph_json":"https://pith.science/api/pith-number/V4OVV2GOB4KV6TTTHT2SC45XAX/graph.json","events_json":"https://pith.science/api/pith-number/V4OVV2GOB4KV6TTTHT2SC45XAX/events.json","paper":"https://pith.science/paper/V4OVV2GO"},"agent_actions":{"view_html":"https://pith.science/pith/V4OVV2GOB4KV6TTTHT2SC45XAX","download_json":"https://pith.science/pith/V4OVV2GOB4KV6TTTHT2SC45XAX.json","view_paper":"https://pith.science/paper/V4OVV2GO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.0579&json=true","fetch_graph":"https://pith.science/api/pith-number/V4OVV2GOB4KV6TTTHT2SC45XAX/graph.json","fetch_events":"https://pith.science/api/pith-number/V4OVV2GOB4KV6TTTHT2SC45XAX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V4OVV2GOB4KV6TTTHT2SC45XAX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V4OVV2GOB4KV6TTTHT2SC45XAX/action/storage_attestation","attest_author":"https://pith.science/pith/V4OVV2GOB4KV6TTTHT2SC45XAX/action/author_attestation","sign_citation":"https://pith.science/pith/V4OVV2GOB4KV6TTTHT2SC45XAX/action/citation_signature","submit_replication":"https://pith.science/pith/V4OVV2GOB4KV6TTTHT2SC45XAX/action/replication_record"}},"created_at":"2026-05-18T02:38:45.090953+00:00","updated_at":"2026-05-18T02:38:45.090953+00:00"}