{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:K3PRAPEH5MK2MMO5VIBHNQALXF","short_pith_number":"pith:K3PRAPEH","schema_version":"1.0","canonical_sha256":"56df103c87eb15a631ddaa0276c00bb953a4abf1fcf46f0e2a0f7727c1b5ca19","source":{"kind":"arxiv","id":"1611.02274","version":1},"attestation_state":"computed","paper":{"title":"GPU-Based Parallel Integration of Large Numbers of Independent ODE Systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DC","physics.comp-ph"],"primary_cat":"cs.MS","authors_text":"Chih-Jen Sung, Kyle E Niemeyer","submitted_at":"2016-11-06T18:11:16Z","abstract_excerpt":"The task of integrating a large number of independent ODE systems arises in various scientific and engineering areas. For nonstiff systems, common explicit integration algorithms can be used on GPUs, where individual GPU threads concurrently integrate independent ODEs with different initial conditions or parameters. One example is the fifth-order adaptive Runge-Kutta-Cash-Karp (RKCK) algorithm. In the case of stiff ODEs, standard explicit algorithms require impractically small time-step sizes for stability reasons, and implicit algorithms are therefore commonly used instead to allow larger tim"},"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":"1611.02274","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.MS","submitted_at":"2016-11-06T18:11:16Z","cross_cats_sorted":["cs.DC","physics.comp-ph"],"title_canon_sha256":"1fb8a9dcbd5c09d652e75d2994915f6beafd31faf8b1ca04a411dfb7c5bcea33","abstract_canon_sha256":"75e5fd6c7dc2293405e8709bdb401ad5062f4d8f9d52ce22298a806bae9442b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:56.731845Z","signature_b64":"EpO3iZy1Qpm9E0yPS6sLJAcW++/yPBvtN9E2S6FAfrngNh3cuvb6ea5ivLqy1ipNi3tpzF5Ws75QEgw/d3M+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56df103c87eb15a631ddaa0276c00bb953a4abf1fcf46f0e2a0f7727c1b5ca19","last_reissued_at":"2026-05-18T00:59:56.731188Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:56.731188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"GPU-Based Parallel Integration of Large Numbers of Independent ODE Systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DC","physics.comp-ph"],"primary_cat":"cs.MS","authors_text":"Chih-Jen Sung, Kyle E Niemeyer","submitted_at":"2016-11-06T18:11:16Z","abstract_excerpt":"The task of integrating a large number of independent ODE systems arises in various scientific and engineering areas. For nonstiff systems, common explicit integration algorithms can be used on GPUs, where individual GPU threads concurrently integrate independent ODEs with different initial conditions or parameters. One example is the fifth-order adaptive Runge-Kutta-Cash-Karp (RKCK) algorithm. In the case of stiff ODEs, standard explicit algorithms require impractically small time-step sizes for stability reasons, and implicit algorithms are therefore commonly used instead to allow larger tim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.02274","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":"1611.02274","created_at":"2026-05-18T00:59:56.731283+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.02274v1","created_at":"2026-05-18T00:59:56.731283+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.02274","created_at":"2026-05-18T00:59:56.731283+00:00"},{"alias_kind":"pith_short_12","alias_value":"K3PRAPEH5MK2","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"K3PRAPEH5MK2MMO5","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"K3PRAPEH","created_at":"2026-05-18T12:30:25.849896+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/K3PRAPEH5MK2MMO5VIBHNQALXF","json":"https://pith.science/pith/K3PRAPEH5MK2MMO5VIBHNQALXF.json","graph_json":"https://pith.science/api/pith-number/K3PRAPEH5MK2MMO5VIBHNQALXF/graph.json","events_json":"https://pith.science/api/pith-number/K3PRAPEH5MK2MMO5VIBHNQALXF/events.json","paper":"https://pith.science/paper/K3PRAPEH"},"agent_actions":{"view_html":"https://pith.science/pith/K3PRAPEH5MK2MMO5VIBHNQALXF","download_json":"https://pith.science/pith/K3PRAPEH5MK2MMO5VIBHNQALXF.json","view_paper":"https://pith.science/paper/K3PRAPEH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.02274&json=true","fetch_graph":"https://pith.science/api/pith-number/K3PRAPEH5MK2MMO5VIBHNQALXF/graph.json","fetch_events":"https://pith.science/api/pith-number/K3PRAPEH5MK2MMO5VIBHNQALXF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K3PRAPEH5MK2MMO5VIBHNQALXF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K3PRAPEH5MK2MMO5VIBHNQALXF/action/storage_attestation","attest_author":"https://pith.science/pith/K3PRAPEH5MK2MMO5VIBHNQALXF/action/author_attestation","sign_citation":"https://pith.science/pith/K3PRAPEH5MK2MMO5VIBHNQALXF/action/citation_signature","submit_replication":"https://pith.science/pith/K3PRAPEH5MK2MMO5VIBHNQALXF/action/replication_record"}},"created_at":"2026-05-18T00:59:56.731283+00:00","updated_at":"2026-05-18T00:59:56.731283+00:00"}