{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:7MVZXM47X253WVU6D5DOKMEY7B","short_pith_number":"pith:7MVZXM47","canonical_record":{"source":{"id":"2308.09839","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-08-18T22:21:54Z","cross_cats_sorted":["cs.MS","cs.NA"],"title_canon_sha256":"40e36bbcdf7b244fe748d04053388e56afaa461e9ee5a569233cb18d94b8cb61","abstract_canon_sha256":"3e28d81b018c52c1350572314ce664c56342206087a585a4b88b1d0a0356b1d1"},"schema_version":"1.0"},"canonical_sha256":"fb2b9bb39fbebbbb569e1f46e53098f85fd7029ec40e17313e5e70b2b79d0882","source":{"kind":"arxiv","id":"2308.09839","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.09839","created_at":"2026-07-05T06:43:51Z"},{"alias_kind":"arxiv_version","alias_value":"2308.09839v2","created_at":"2026-07-05T06:43:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.09839","created_at":"2026-07-05T06:43:51Z"},{"alias_kind":"pith_short_12","alias_value":"7MVZXM47X253","created_at":"2026-07-05T06:43:51Z"},{"alias_kind":"pith_short_16","alias_value":"7MVZXM47X253WVU6","created_at":"2026-07-05T06:43:51Z"},{"alias_kind":"pith_short_8","alias_value":"7MVZXM47","created_at":"2026-07-05T06:43:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:7MVZXM47X253WVU6D5DOKMEY7B","target":"record","payload":{"canonical_record":{"source":{"id":"2308.09839","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-08-18T22:21:54Z","cross_cats_sorted":["cs.MS","cs.NA"],"title_canon_sha256":"40e36bbcdf7b244fe748d04053388e56afaa461e9ee5a569233cb18d94b8cb61","abstract_canon_sha256":"3e28d81b018c52c1350572314ce664c56342206087a585a4b88b1d0a0356b1d1"},"schema_version":"1.0"},"canonical_sha256":"fb2b9bb39fbebbbb569e1f46e53098f85fd7029ec40e17313e5e70b2b79d0882","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:43:51.728213Z","signature_b64":"qBnslzbSKjubB2+zwTTfQQZMGjFm/zNMl1Oo9mj7ku59EAllh0H8hnf2DZEVe13ehZBL1HPh5b0Cm+9S9qbvAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb2b9bb39fbebbbb569e1f46e53098f85fd7029ec40e17313e5e70b2b79d0882","last_reissued_at":"2026-07-05T06:43:51.727730Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:43:51.727730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2308.09839","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:43:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ZdZ4VLGq0vR6vPzG2X26uU28Bo+4LmNYNUxvcSjpYsslYbx4ZtJwAxjtGb3elygr5wcu8j2MpN+2MBnV3aGDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:41:54.436028Z"},"content_sha256":"98c9d31349836d740c02ff132218505506902028293eb8e8b373169684b0c7ed","schema_version":"1.0","event_id":"sha256:98c9d31349836d740c02ff132218505506902028293eb8e8b373169684b0c7ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:7MVZXM47X253WVU6D5DOKMEY7B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Performant low-order matrix-free finite element kernels on GPU architectures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.MS","cs.NA"],"primary_cat":"math.NA","authors_text":"Benjamin C. Corbett, Nicola Castelletto, Randolph R. Settgast, Sergey Klevtsov, William R. Tobin, Yohann Dudouit","submitted_at":"2023-08-18T22:21:54Z","abstract_excerpt":"Numerical methods such as the Finite Element Method (FEM) have been successfully adapted to utilize the computational power of GPU accelerators. However, much of the effort around applying FEM to GPU's has been focused on high-order FEM due to higher arithmetic intensity and order of accuracy. For applications such as the simulation of subsurface processes, high levels of heterogeneity results in high-resolution grids characterized by highly discontinuous (cell-wise) material property fields. Moreover, due to the significant uncertainties in the characterization of the domain of interest, e.g."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.09839","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2308.09839/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:43:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b8qvAXjsIsbSNAmM8wpz9rAVa1XOlJ2s1xKOq6ZmseHPHsGjArG2OFqYFyVWr4S+XXLsmXK2SrX8Q9HW/Oy5CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:41:54.436852Z"},"content_sha256":"b609f62e3bff49431d25c28d2233b2ffc29a976e895dc53f6853af4dab938df9","schema_version":"1.0","event_id":"sha256:b609f62e3bff49431d25c28d2233b2ffc29a976e895dc53f6853af4dab938df9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7MVZXM47X253WVU6D5DOKMEY7B/bundle.json","state_url":"https://pith.science/pith/7MVZXM47X253WVU6D5DOKMEY7B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7MVZXM47X253WVU6D5DOKMEY7B/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":"2026-08-03T17:41:54Z","links":{"resolver":"https://pith.science/pith/7MVZXM47X253WVU6D5DOKMEY7B","bundle":"https://pith.science/pith/7MVZXM47X253WVU6D5DOKMEY7B/bundle.json","state":"https://pith.science/pith/7MVZXM47X253WVU6D5DOKMEY7B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7MVZXM47X253WVU6D5DOKMEY7B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:7MVZXM47X253WVU6D5DOKMEY7B","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":"3e28d81b018c52c1350572314ce664c56342206087a585a4b88b1d0a0356b1d1","cross_cats_sorted":["cs.MS","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-08-18T22:21:54Z","title_canon_sha256":"40e36bbcdf7b244fe748d04053388e56afaa461e9ee5a569233cb18d94b8cb61"},"schema_version":"1.0","source":{"id":"2308.09839","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.09839","created_at":"2026-07-05T06:43:51Z"},{"alias_kind":"arxiv_version","alias_value":"2308.09839v2","created_at":"2026-07-05T06:43:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.09839","created_at":"2026-07-05T06:43:51Z"},{"alias_kind":"pith_short_12","alias_value":"7MVZXM47X253","created_at":"2026-07-05T06:43:51Z"},{"alias_kind":"pith_short_16","alias_value":"7MVZXM47X253WVU6","created_at":"2026-07-05T06:43:51Z"},{"alias_kind":"pith_short_8","alias_value":"7MVZXM47","created_at":"2026-07-05T06:43:51Z"}],"graph_snapshots":[{"event_id":"sha256:b609f62e3bff49431d25c28d2233b2ffc29a976e895dc53f6853af4dab938df9","target":"graph","created_at":"2026-07-05T06:43:51Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2308.09839/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Numerical methods such as the Finite Element Method (FEM) have been successfully adapted to utilize the computational power of GPU accelerators. However, much of the effort around applying FEM to GPU's has been focused on high-order FEM due to higher arithmetic intensity and order of accuracy. For applications such as the simulation of subsurface processes, high levels of heterogeneity results in high-resolution grids characterized by highly discontinuous (cell-wise) material property fields. Moreover, due to the significant uncertainties in the characterization of the domain of interest, e.g.","authors_text":"Benjamin C. Corbett, Nicola Castelletto, Randolph R. Settgast, Sergey Klevtsov, William R. Tobin, Yohann Dudouit","cross_cats":["cs.MS","cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-08-18T22:21:54Z","title":"Performant low-order matrix-free finite element kernels on GPU architectures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.09839","kind":"arxiv","version":2},"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":"sha256:98c9d31349836d740c02ff132218505506902028293eb8e8b373169684b0c7ed","target":"record","created_at":"2026-07-05T06:43:51Z","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":"3e28d81b018c52c1350572314ce664c56342206087a585a4b88b1d0a0356b1d1","cross_cats_sorted":["cs.MS","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-08-18T22:21:54Z","title_canon_sha256":"40e36bbcdf7b244fe748d04053388e56afaa461e9ee5a569233cb18d94b8cb61"},"schema_version":"1.0","source":{"id":"2308.09839","kind":"arxiv","version":2}},"canonical_sha256":"fb2b9bb39fbebbbb569e1f46e53098f85fd7029ec40e17313e5e70b2b79d0882","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb2b9bb39fbebbbb569e1f46e53098f85fd7029ec40e17313e5e70b2b79d0882","first_computed_at":"2026-07-05T06:43:51.727730Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:43:51.727730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qBnslzbSKjubB2+zwTTfQQZMGjFm/zNMl1Oo9mj7ku59EAllh0H8hnf2DZEVe13ehZBL1HPh5b0Cm+9S9qbvAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:43:51.728213Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.09839","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98c9d31349836d740c02ff132218505506902028293eb8e8b373169684b0c7ed","sha256:b609f62e3bff49431d25c28d2233b2ffc29a976e895dc53f6853af4dab938df9"],"state_sha256":"e05377dab138bca46102f89e06145ecdb213adb4c13a39343bd42207ff2f0dac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8+ZGw9wP7hWW2LawuPC0S3Ex1e5NObwlsFmTiCmBlNFtDhJTZ2awawrA9IKv3TmXcU0n8iH6ATX45Jw0MRMDBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:41:54.443735Z","bundle_sha256":"dd7b1631d0fd466ed01503a69324a56b929c49b67173e0783928ce6fb27449c7"}}