{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:RK5DVZR4WTPAJ6J2C4PX3Q3GFK","short_pith_number":"pith:RK5DVZR4","canonical_record":{"source":{"id":"1703.03841","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-10T20:54:08Z","cross_cats_sorted":[],"title_canon_sha256":"765e8ca8aac887a16cee1bc5abefe4dec721855380ac8befbd228d78cc28a295","abstract_canon_sha256":"685f6aee32b31124f4817176b826e54c092ceac557da8c4741b25a73c4a960e5"},"schema_version":"1.0"},"canonical_sha256":"8aba3ae63cb4de04f93a171f7dc3662abb15e3082d2ea0aec80bd23687cd9ebc","source":{"kind":"arxiv","id":"1703.03841","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03841","created_at":"2026-05-18T00:48:52Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03841v1","created_at":"2026-05-18T00:48:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03841","created_at":"2026-05-18T00:48:52Z"},{"alias_kind":"pith_short_12","alias_value":"RK5DVZR4WTPA","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RK5DVZR4WTPAJ6J2","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RK5DVZR4","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:RK5DVZR4WTPAJ6J2C4PX3Q3GFK","target":"record","payload":{"canonical_record":{"source":{"id":"1703.03841","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-10T20:54:08Z","cross_cats_sorted":[],"title_canon_sha256":"765e8ca8aac887a16cee1bc5abefe4dec721855380ac8befbd228d78cc28a295","abstract_canon_sha256":"685f6aee32b31124f4817176b826e54c092ceac557da8c4741b25a73c4a960e5"},"schema_version":"1.0"},"canonical_sha256":"8aba3ae63cb4de04f93a171f7dc3662abb15e3082d2ea0aec80bd23687cd9ebc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:53.000440Z","signature_b64":"5D571uQKvTu1Gyh0g94cXkbgLXNBCRIrLiMJhyZXXO5knoi+y7dLXM2sjmIlcbakuUCQL0LVIYtr2oyT9Dk2Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8aba3ae63cb4de04f93a171f7dc3662abb15e3082d2ea0aec80bd23687cd9ebc","last_reissued_at":"2026-05-18T00:48:52.999915Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:52.999915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.03841","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":"2026-05-18T00:48:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HzuBxIsfjUUgoQLKE+pkwPnDqtjv0wKq4jp9wAv/1dV40h/f9YAhSgiEtQXUYDb6CFDVYpajDoawfpGz0avCDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T05:40:46.440939Z"},"content_sha256":"75f6ae6fd2390d7e07047659367197f27d7234680f1353b3076cffdc7300796b","schema_version":"1.0","event_id":"sha256:75f6ae6fd2390d7e07047659367197f27d7234680f1353b3076cffdc7300796b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:RK5DVZR4WTPAJ6J2C4PX3Q3GFK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient Stochastic Asymptotic-Preserving IMEX Methods for Transport Equations with Diffusive Scalings and Random Inputs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Hanqing Lu, Lorenzo Pareschi, Shi Jin","submitted_at":"2017-03-10T20:54:08Z","abstract_excerpt":"For linear transport and radiative heat transfer equations with random inputs, we develop new generalized polynomial chaos based Asymptotic-Preserving stochastic Galerkin schemes that allow efficient computation for the problems that contain both uncertainties and multiple scales. Compared with previous methods for these problems, our new method use the implicit-explicit (IMEX) time discretization to gain higher order accuracy, and by using a modified diffusion operator based penalty method, a more relaxed stability condition--a hyperbolic, rather than parabolic, CFL stability condition, is ac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03841","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":"2026-05-18T00:48:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wLSJNyarP0JUCaxXVWPefWkJJEyD/kl/9wgDdnJzfOcH4MEmzglIzLZKMCvX7GCnxAzQQHhWfsTJDBes9dHMDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T05:40:46.441285Z"},"content_sha256":"a9e651bb44a7b9a9f2ff3707044fd4ad0843ce00996d7b8f5e6f8827e3a32566","schema_version":"1.0","event_id":"sha256:a9e651bb44a7b9a9f2ff3707044fd4ad0843ce00996d7b8f5e6f8827e3a32566"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RK5DVZR4WTPAJ6J2C4PX3Q3GFK/bundle.json","state_url":"https://pith.science/pith/RK5DVZR4WTPAJ6J2C4PX3Q3GFK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RK5DVZR4WTPAJ6J2C4PX3Q3GFK/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":"2026-06-24T05:40:46Z","links":{"resolver":"https://pith.science/pith/RK5DVZR4WTPAJ6J2C4PX3Q3GFK","bundle":"https://pith.science/pith/RK5DVZR4WTPAJ6J2C4PX3Q3GFK/bundle.json","state":"https://pith.science/pith/RK5DVZR4WTPAJ6J2C4PX3Q3GFK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RK5DVZR4WTPAJ6J2C4PX3Q3GFK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RK5DVZR4WTPAJ6J2C4PX3Q3GFK","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":"685f6aee32b31124f4817176b826e54c092ceac557da8c4741b25a73c4a960e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-10T20:54:08Z","title_canon_sha256":"765e8ca8aac887a16cee1bc5abefe4dec721855380ac8befbd228d78cc28a295"},"schema_version":"1.0","source":{"id":"1703.03841","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.03841","created_at":"2026-05-18T00:48:52Z"},{"alias_kind":"arxiv_version","alias_value":"1703.03841v1","created_at":"2026-05-18T00:48:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.03841","created_at":"2026-05-18T00:48:52Z"},{"alias_kind":"pith_short_12","alias_value":"RK5DVZR4WTPA","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RK5DVZR4WTPAJ6J2","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RK5DVZR4","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:a9e651bb44a7b9a9f2ff3707044fd4ad0843ce00996d7b8f5e6f8827e3a32566","target":"graph","created_at":"2026-05-18T00:48:52Z","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":"For linear transport and radiative heat transfer equations with random inputs, we develop new generalized polynomial chaos based Asymptotic-Preserving stochastic Galerkin schemes that allow efficient computation for the problems that contain both uncertainties and multiple scales. Compared with previous methods for these problems, our new method use the implicit-explicit (IMEX) time discretization to gain higher order accuracy, and by using a modified diffusion operator based penalty method, a more relaxed stability condition--a hyperbolic, rather than parabolic, CFL stability condition, is ac","authors_text":"Hanqing Lu, Lorenzo Pareschi, Shi Jin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-10T20:54:08Z","title":"Efficient Stochastic Asymptotic-Preserving IMEX Methods for Transport Equations with Diffusive Scalings and Random Inputs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.03841","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":"sha256:75f6ae6fd2390d7e07047659367197f27d7234680f1353b3076cffdc7300796b","target":"record","created_at":"2026-05-18T00:48:52Z","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":"685f6aee32b31124f4817176b826e54c092ceac557da8c4741b25a73c4a960e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-03-10T20:54:08Z","title_canon_sha256":"765e8ca8aac887a16cee1bc5abefe4dec721855380ac8befbd228d78cc28a295"},"schema_version":"1.0","source":{"id":"1703.03841","kind":"arxiv","version":1}},"canonical_sha256":"8aba3ae63cb4de04f93a171f7dc3662abb15e3082d2ea0aec80bd23687cd9ebc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8aba3ae63cb4de04f93a171f7dc3662abb15e3082d2ea0aec80bd23687cd9ebc","first_computed_at":"2026-05-18T00:48:52.999915Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:52.999915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5D571uQKvTu1Gyh0g94cXkbgLXNBCRIrLiMJhyZXXO5knoi+y7dLXM2sjmIlcbakuUCQL0LVIYtr2oyT9Dk2Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:53.000440Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.03841","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75f6ae6fd2390d7e07047659367197f27d7234680f1353b3076cffdc7300796b","sha256:a9e651bb44a7b9a9f2ff3707044fd4ad0843ce00996d7b8f5e6f8827e3a32566"],"state_sha256":"bf856960f9ecdaee28c4b1afcc1f73552af05afa25ce2b0394f916031f7bda5b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q2/mNyDkY/jQrlJpN+DGG9V7j4mttx4U1jCN6xaaD80WjTZoO4n5QTM3BTpESRhYG0nXsSoJkkSxzVoohW5DDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T05:40:46.443240Z","bundle_sha256":"8acba1c734ace8bf17b1371c3d39a5e799db819d1210db3785f8e2a8314d9347"}}