{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:LZJKCEKW35G6GEECCB5ATGYVH2","short_pith_number":"pith:LZJKCEKW","schema_version":"1.0","canonical_sha256":"5e52a11156df4de31082107a099b153e9e55c34a8dae581dc7fe1f5e4cbc903d","source":{"kind":"arxiv","id":"1903.12642","version":1},"attestation_state":"computed","paper":{"title":"The \"Sphered Cube\": A New Method for the Solution of Partial Differential Equations in Cubical Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.IM","math.NA","physics.flu-dyn"],"primary_cat":"physics.comp-ph","authors_text":"Benjamin P. Brown, Daniel Lecoanet, Geoffrey M. Vasil, Jeffrey S. Oishi, Keaton J. Burns","submitted_at":"2019-03-29T17:43:28Z","abstract_excerpt":"A new gridding technique for the solution of partial differential equations in cubical geometry is presented. The method is based on volume penalization, allowing for the imposition of a cubical geometry inside of its circumscribing sphere. By choosing to embed the cube inside of the sphere, one obtains a discretization that is free of any sharp edges or corners. Taking full advantage of the simple geometry of the sphere, spectral bases based on spin-weighted spherical harmonics and Jacobi polynomials, which properly capture the regularity of scalar, vector and tensor components in spherical c"},"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":"1903.12642","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2019-03-29T17:43:28Z","cross_cats_sorted":["astro-ph.IM","math.NA","physics.flu-dyn"],"title_canon_sha256":"d5f62cd5a659d4bea9796317249cfbda981c08871b01845a1441da03c19f8b93","abstract_canon_sha256":"1c0037874c076d05c823c45de4cf6852de1615bcdd365a98457540ae82650817"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:53.576369Z","signature_b64":"h4XFB9QYLBLoO1cJ8aloEbnxRHwz312wrY0iVOMcZpp3HOVxjMPOJvz0LA28BcMIwmYRnDC65IibNuNpXrXRAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e52a11156df4de31082107a099b153e9e55c34a8dae581dc7fe1f5e4cbc903d","last_reissued_at":"2026-05-17T23:49:53.575985Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:53.575985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The \"Sphered Cube\": A New Method for the Solution of Partial Differential Equations in Cubical Geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.IM","math.NA","physics.flu-dyn"],"primary_cat":"physics.comp-ph","authors_text":"Benjamin P. Brown, Daniel Lecoanet, Geoffrey M. Vasil, Jeffrey S. Oishi, Keaton J. Burns","submitted_at":"2019-03-29T17:43:28Z","abstract_excerpt":"A new gridding technique for the solution of partial differential equations in cubical geometry is presented. The method is based on volume penalization, allowing for the imposition of a cubical geometry inside of its circumscribing sphere. By choosing to embed the cube inside of the sphere, one obtains a discretization that is free of any sharp edges or corners. Taking full advantage of the simple geometry of the sphere, spectral bases based on spin-weighted spherical harmonics and Jacobi polynomials, which properly capture the regularity of scalar, vector and tensor components in spherical c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.12642","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":"1903.12642","created_at":"2026-05-17T23:49:53.576042+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.12642v1","created_at":"2026-05-17T23:49:53.576042+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.12642","created_at":"2026-05-17T23:49:53.576042+00:00"},{"alias_kind":"pith_short_12","alias_value":"LZJKCEKW35G6","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_16","alias_value":"LZJKCEKW35G6GEEC","created_at":"2026-05-18T12:33:21.387695+00:00"},{"alias_kind":"pith_short_8","alias_value":"LZJKCEKW","created_at":"2026-05-18T12:33:21.387695+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/LZJKCEKW35G6GEECCB5ATGYVH2","json":"https://pith.science/pith/LZJKCEKW35G6GEECCB5ATGYVH2.json","graph_json":"https://pith.science/api/pith-number/LZJKCEKW35G6GEECCB5ATGYVH2/graph.json","events_json":"https://pith.science/api/pith-number/LZJKCEKW35G6GEECCB5ATGYVH2/events.json","paper":"https://pith.science/paper/LZJKCEKW"},"agent_actions":{"view_html":"https://pith.science/pith/LZJKCEKW35G6GEECCB5ATGYVH2","download_json":"https://pith.science/pith/LZJKCEKW35G6GEECCB5ATGYVH2.json","view_paper":"https://pith.science/paper/LZJKCEKW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.12642&json=true","fetch_graph":"https://pith.science/api/pith-number/LZJKCEKW35G6GEECCB5ATGYVH2/graph.json","fetch_events":"https://pith.science/api/pith-number/LZJKCEKW35G6GEECCB5ATGYVH2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LZJKCEKW35G6GEECCB5ATGYVH2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LZJKCEKW35G6GEECCB5ATGYVH2/action/storage_attestation","attest_author":"https://pith.science/pith/LZJKCEKW35G6GEECCB5ATGYVH2/action/author_attestation","sign_citation":"https://pith.science/pith/LZJKCEKW35G6GEECCB5ATGYVH2/action/citation_signature","submit_replication":"https://pith.science/pith/LZJKCEKW35G6GEECCB5ATGYVH2/action/replication_record"}},"created_at":"2026-05-17T23:49:53.576042+00:00","updated_at":"2026-05-17T23:49:53.576042+00:00"}