{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:3XKZAGFG5J5UFYKIVJFGJO4AZW","short_pith_number":"pith:3XKZAGFG","schema_version":"1.0","canonical_sha256":"ddd59018a6ea7b42e148aa4a64bb80cd974836411eb44f851ac9491f24755df2","source":{"kind":"arxiv","id":"1212.4695","version":1},"attestation_state":"computed","paper":{"title":"Outflow Positivity Limiting for Hyperbolic Conservation Laws. Part I: Framework and Recipe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"math.NA","authors_text":"Evan Alexander Johnson, James A. Rossmanith","submitted_at":"2012-12-19T15:06:54Z","abstract_excerpt":"Numerical methods for hyperbolic conservation laws are needed that efficiently mimic the constraints satisfied by exact solutions, including material conservation and positivity, while also maintaining high-order accuracy and numerical stability. Discontinuous Galerkin (DG) and WENO schemes allow efficient high-order accuracy while maintaining conservation. Positivity limiters developed by Zhang and Shu ensure a minimum time step for which positivity of cell average quantities is maintained without sacrificing conservation or formal accuracy; this is achieved by linearly damping the deviation "},"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":"1212.4695","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2012-12-19T15:06:54Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"342dc853cc46a7019808f067e6cdc6bc4c737086507d7bca1f0c5714e84ec350","abstract_canon_sha256":"c14e106a2cd41b2f8e131fe9afbd22ef1ccc7ec70b1e3a48defd1a34f47cfd92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:11.741092Z","signature_b64":"0j2axDgzEm98r8MOtWmYznixSkNE4aKPMoucKLASbMJI5TT3rvyJaVoL4xBikF/5m2Z6NIUvYWqoHv8SX4EzAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ddd59018a6ea7b42e148aa4a64bb80cd974836411eb44f851ac9491f24755df2","last_reissued_at":"2026-05-18T03:38:11.740630Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:11.740630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Outflow Positivity Limiting for Hyperbolic Conservation Laws. Part I: Framework and Recipe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"math.NA","authors_text":"Evan Alexander Johnson, James A. Rossmanith","submitted_at":"2012-12-19T15:06:54Z","abstract_excerpt":"Numerical methods for hyperbolic conservation laws are needed that efficiently mimic the constraints satisfied by exact solutions, including material conservation and positivity, while also maintaining high-order accuracy and numerical stability. Discontinuous Galerkin (DG) and WENO schemes allow efficient high-order accuracy while maintaining conservation. Positivity limiters developed by Zhang and Shu ensure a minimum time step for which positivity of cell average quantities is maintained without sacrificing conservation or formal accuracy; this is achieved by linearly damping the deviation "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4695","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":"1212.4695","created_at":"2026-05-18T03:38:11.740704+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.4695v1","created_at":"2026-05-18T03:38:11.740704+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4695","created_at":"2026-05-18T03:38:11.740704+00:00"},{"alias_kind":"pith_short_12","alias_value":"3XKZAGFG5J5U","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"3XKZAGFG5J5UFYKI","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"3XKZAGFG","created_at":"2026-05-18T12:26:53.410803+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/3XKZAGFG5J5UFYKIVJFGJO4AZW","json":"https://pith.science/pith/3XKZAGFG5J5UFYKIVJFGJO4AZW.json","graph_json":"https://pith.science/api/pith-number/3XKZAGFG5J5UFYKIVJFGJO4AZW/graph.json","events_json":"https://pith.science/api/pith-number/3XKZAGFG5J5UFYKIVJFGJO4AZW/events.json","paper":"https://pith.science/paper/3XKZAGFG"},"agent_actions":{"view_html":"https://pith.science/pith/3XKZAGFG5J5UFYKIVJFGJO4AZW","download_json":"https://pith.science/pith/3XKZAGFG5J5UFYKIVJFGJO4AZW.json","view_paper":"https://pith.science/paper/3XKZAGFG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.4695&json=true","fetch_graph":"https://pith.science/api/pith-number/3XKZAGFG5J5UFYKIVJFGJO4AZW/graph.json","fetch_events":"https://pith.science/api/pith-number/3XKZAGFG5J5UFYKIVJFGJO4AZW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3XKZAGFG5J5UFYKIVJFGJO4AZW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3XKZAGFG5J5UFYKIVJFGJO4AZW/action/storage_attestation","attest_author":"https://pith.science/pith/3XKZAGFG5J5UFYKIVJFGJO4AZW/action/author_attestation","sign_citation":"https://pith.science/pith/3XKZAGFG5J5UFYKIVJFGJO4AZW/action/citation_signature","submit_replication":"https://pith.science/pith/3XKZAGFG5J5UFYKIVJFGJO4AZW/action/replication_record"}},"created_at":"2026-05-18T03:38:11.740704+00:00","updated_at":"2026-05-18T03:38:11.740704+00:00"}