{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:LZJKCEKW35G6GEECCB5ATGYVH2","short_pith_number":"pith:LZJKCEKW","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"},"canonical_sha256":"5e52a11156df4de31082107a099b153e9e55c34a8dae581dc7fe1f5e4cbc903d","source":{"kind":"arxiv","id":"1903.12642","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.12642","created_at":"2026-05-17T23:49:53Z"},{"alias_kind":"arxiv_version","alias_value":"1903.12642v1","created_at":"2026-05-17T23:49:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.12642","created_at":"2026-05-17T23:49:53Z"},{"alias_kind":"pith_short_12","alias_value":"LZJKCEKW35G6","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"LZJKCEKW35G6GEEC","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"LZJKCEKW","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:LZJKCEKW35G6GEECCB5ATGYVH2","target":"record","payload":{"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"},"canonical_sha256":"5e52a11156df4de31082107a099b153e9e55c34a8dae581dc7fe1f5e4cbc903d","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"},"source_kind":"arxiv","source_id":"1903.12642","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:49:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vJqo5w86I9UNFiXa4ccrHZijZ+tjOiy+2RZflldXkZsaVH44r+c1OfmTm0fBzh0qlBGT0gRUo9lw8Sq9h++iAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:38:51.982060Z"},"content_sha256":"4e8c8b8222eca2a0eb0b31097d6eac719fa85c1b6f8e70825fd78e6d86d6ef2d","schema_version":"1.0","event_id":"sha256:4e8c8b8222eca2a0eb0b31097d6eac719fa85c1b6f8e70825fd78e6d86d6ef2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:LZJKCEKW35G6GEECCB5ATGYVH2","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:49:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TVKtzZ6id6FlJk8lmcJ2iS2tNOBY9iPy2srnrdXPx2EoBFfc9FlAOQg3m/kNbZ4recWtRr9X8xD0tSllMiWMDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T17:38:51.982722Z"},"content_sha256":"1b7f74934d1cd0ab2ed563442f853e7ef724f6b77b20d9caa4c0ee175bb8a244","schema_version":"1.0","event_id":"sha256:1b7f74934d1cd0ab2ed563442f853e7ef724f6b77b20d9caa4c0ee175bb8a244"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LZJKCEKW35G6GEECCB5ATGYVH2/bundle.json","state_url":"https://pith.science/pith/LZJKCEKW35G6GEECCB5ATGYVH2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LZJKCEKW35G6GEECCB5ATGYVH2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T17:38:51Z","links":{"resolver":"https://pith.science/pith/LZJKCEKW35G6GEECCB5ATGYVH2","bundle":"https://pith.science/pith/LZJKCEKW35G6GEECCB5ATGYVH2/bundle.json","state":"https://pith.science/pith/LZJKCEKW35G6GEECCB5ATGYVH2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LZJKCEKW35G6GEECCB5ATGYVH2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:LZJKCEKW35G6GEECCB5ATGYVH2","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":"1c0037874c076d05c823c45de4cf6852de1615bcdd365a98457540ae82650817","cross_cats_sorted":["astro-ph.IM","math.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2019-03-29T17:43:28Z","title_canon_sha256":"d5f62cd5a659d4bea9796317249cfbda981c08871b01845a1441da03c19f8b93"},"schema_version":"1.0","source":{"id":"1903.12642","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.12642","created_at":"2026-05-17T23:49:53Z"},{"alias_kind":"arxiv_version","alias_value":"1903.12642v1","created_at":"2026-05-17T23:49:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.12642","created_at":"2026-05-17T23:49:53Z"},{"alias_kind":"pith_short_12","alias_value":"LZJKCEKW35G6","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"LZJKCEKW35G6GEEC","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"LZJKCEKW","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:1b7f74934d1cd0ab2ed563442f853e7ef724f6b77b20d9caa4c0ee175bb8a244","target":"graph","created_at":"2026-05-17T23:49:53Z","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":"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","authors_text":"Benjamin P. Brown, Daniel Lecoanet, Geoffrey M. Vasil, Jeffrey S. Oishi, Keaton J. Burns","cross_cats":["astro-ph.IM","math.NA","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2019-03-29T17:43:28Z","title":"The \"Sphered Cube\": A New Method for the Solution of Partial Differential Equations in Cubical Geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.12642","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":"sha256:4e8c8b8222eca2a0eb0b31097d6eac719fa85c1b6f8e70825fd78e6d86d6ef2d","target":"record","created_at":"2026-05-17T23:49:53Z","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":"1c0037874c076d05c823c45de4cf6852de1615bcdd365a98457540ae82650817","cross_cats_sorted":["astro-ph.IM","math.NA","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2019-03-29T17:43:28Z","title_canon_sha256":"d5f62cd5a659d4bea9796317249cfbda981c08871b01845a1441da03c19f8b93"},"schema_version":"1.0","source":{"id":"1903.12642","kind":"arxiv","version":1}},"canonical_sha256":"5e52a11156df4de31082107a099b153e9e55c34a8dae581dc7fe1f5e4cbc903d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e52a11156df4de31082107a099b153e9e55c34a8dae581dc7fe1f5e4cbc903d","first_computed_at":"2026-05-17T23:49:53.575985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:53.575985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h4XFB9QYLBLoO1cJ8aloEbnxRHwz312wrY0iVOMcZpp3HOVxjMPOJvz0LA28BcMIwmYRnDC65IibNuNpXrXRAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:53.576369Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.12642","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e8c8b8222eca2a0eb0b31097d6eac719fa85c1b6f8e70825fd78e6d86d6ef2d","sha256:1b7f74934d1cd0ab2ed563442f853e7ef724f6b77b20d9caa4c0ee175bb8a244"],"state_sha256":"b7df10ba7be394f330d969760c180e095eaa57849ef99aa8b30c8abe82cb3e9e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PBor5LfmQg6UxGPjsvVgS/+sakfT5OfkueGxLQ9npO2Whh6r4S4oMXs7k4jaCmPnzPMsUP+R6nvJVjnOXwWcBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T17:38:51.986063Z","bundle_sha256":"6b84d9947d7e9664357ad6744f62fa0fc2e598cdd1d0f1279986da65bcaf1657"}}