{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:6BQHIVZFLF4ZKP2GP53MGD53L7","short_pith_number":"pith:6BQHIVZF","schema_version":"1.0","canonical_sha256":"f0607457255979953f467f76c30fbb5fe00eb12019c8f624b764915c60733586","source":{"kind":"arxiv","id":"0808.2062","version":1},"attestation_state":"computed","paper":{"title":"Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.NA","authors_text":"Joseph Falcovitz, Matania Ben-Artzi, Philippe G. LeFloch","submitted_at":"2008-08-14T21:43:48Z","abstract_excerpt":"We consider entropy solutions to the initial value problem associated with scalar nonlinear hyperbolic conservation laws posed on the two-dimensional sphere. We propose a finite volume scheme which relies on a web-like mesh made of segments of longitude and latitude lines. The structure of the mesh allows for a discrete version of a natural geometric compatibility condition, which arose earlier in the well-posedness theory established by Ben-Artzi and LeFloch. We study here several classes of flux vectors which define the conservation law under consideration. They are based on prescribing a su"},"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":"0808.2062","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2008-08-14T21:43:48Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"2caa6a3774b650b3fd9c83b5aace7f8ecc78fc45b9c1df0b05f5185bc399731e","abstract_canon_sha256":"24bf3f3fd986944914c95963628e4dd0b4c58775a1a025cd1b7a08572e6cb619"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:43.273859Z","signature_b64":"hAWgCv6InUDCoCAC2w2chdSXk/ZCE11kzrVx8pUK3/bqlFO1uAbThFdB9zShjN4RX1py07x4fCa7EWe6uiMcBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0607457255979953f467f76c30fbb5fe00eb12019c8f624b764915c60733586","last_reissued_at":"2026-05-18T02:15:43.273418Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:43.273418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.NA","authors_text":"Joseph Falcovitz, Matania Ben-Artzi, Philippe G. LeFloch","submitted_at":"2008-08-14T21:43:48Z","abstract_excerpt":"We consider entropy solutions to the initial value problem associated with scalar nonlinear hyperbolic conservation laws posed on the two-dimensional sphere. We propose a finite volume scheme which relies on a web-like mesh made of segments of longitude and latitude lines. The structure of the mesh allows for a discrete version of a natural geometric compatibility condition, which arose earlier in the well-posedness theory established by Ben-Artzi and LeFloch. We study here several classes of flux vectors which define the conservation law under consideration. They are based on prescribing a su"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.2062","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":"0808.2062","created_at":"2026-05-18T02:15:43.273477+00:00"},{"alias_kind":"arxiv_version","alias_value":"0808.2062v1","created_at":"2026-05-18T02:15:43.273477+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.2062","created_at":"2026-05-18T02:15:43.273477+00:00"},{"alias_kind":"pith_short_12","alias_value":"6BQHIVZFLF4Z","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"6BQHIVZFLF4ZKP2G","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"6BQHIVZF","created_at":"2026-05-18T12:25:56.245647+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/6BQHIVZFLF4ZKP2GP53MGD53L7","json":"https://pith.science/pith/6BQHIVZFLF4ZKP2GP53MGD53L7.json","graph_json":"https://pith.science/api/pith-number/6BQHIVZFLF4ZKP2GP53MGD53L7/graph.json","events_json":"https://pith.science/api/pith-number/6BQHIVZFLF4ZKP2GP53MGD53L7/events.json","paper":"https://pith.science/paper/6BQHIVZF"},"agent_actions":{"view_html":"https://pith.science/pith/6BQHIVZFLF4ZKP2GP53MGD53L7","download_json":"https://pith.science/pith/6BQHIVZFLF4ZKP2GP53MGD53L7.json","view_paper":"https://pith.science/paper/6BQHIVZF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0808.2062&json=true","fetch_graph":"https://pith.science/api/pith-number/6BQHIVZFLF4ZKP2GP53MGD53L7/graph.json","fetch_events":"https://pith.science/api/pith-number/6BQHIVZFLF4ZKP2GP53MGD53L7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6BQHIVZFLF4ZKP2GP53MGD53L7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6BQHIVZFLF4ZKP2GP53MGD53L7/action/storage_attestation","attest_author":"https://pith.science/pith/6BQHIVZFLF4ZKP2GP53MGD53L7/action/author_attestation","sign_citation":"https://pith.science/pith/6BQHIVZFLF4ZKP2GP53MGD53L7/action/citation_signature","submit_replication":"https://pith.science/pith/6BQHIVZFLF4ZKP2GP53MGD53L7/action/replication_record"}},"created_at":"2026-05-18T02:15:43.273477+00:00","updated_at":"2026-05-18T02:15:43.273477+00:00"}