{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:44RW4B5SPKGYCWLFD23RIE3C6X","short_pith_number":"pith:44RW4B5S","canonical_record":{"source":{"id":"1803.11372","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-30T07:36:09Z","cross_cats_sorted":[],"title_canon_sha256":"022ccce8d998a1de90ea24e519e12a2c4ca975037c95936a8130c4831d526d89","abstract_canon_sha256":"26785d8b2e20d717f7d0595712ab155f92e2531e9ade6a33c5bd142598e09730"},"schema_version":"1.0"},"canonical_sha256":"e7236e07b27a8d8159651eb7141362f5f2fb6d3cadee5faf5ac46f3c2cddc8d9","source":{"kind":"arxiv","id":"1803.11372","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.11372","created_at":"2026-05-17T23:53:31Z"},{"alias_kind":"arxiv_version","alias_value":"1803.11372v2","created_at":"2026-05-17T23:53:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.11372","created_at":"2026-05-17T23:53:31Z"},{"alias_kind":"pith_short_12","alias_value":"44RW4B5SPKGY","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"44RW4B5SPKGYCWLF","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"44RW4B5S","created_at":"2026-05-18T12:32:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:44RW4B5SPKGYCWLFD23RIE3C6X","target":"record","payload":{"canonical_record":{"source":{"id":"1803.11372","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-30T07:36:09Z","cross_cats_sorted":[],"title_canon_sha256":"022ccce8d998a1de90ea24e519e12a2c4ca975037c95936a8130c4831d526d89","abstract_canon_sha256":"26785d8b2e20d717f7d0595712ab155f92e2531e9ade6a33c5bd142598e09730"},"schema_version":"1.0"},"canonical_sha256":"e7236e07b27a8d8159651eb7141362f5f2fb6d3cadee5faf5ac46f3c2cddc8d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:31.363718Z","signature_b64":"a+k4JDxAR4XzLPZtyAiSoYruggw/dhal2kRZlh/yNU88ZjjZS0JIrSmMphFvkE4Qpn7zyces+nL0LlMC5qLTAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7236e07b27a8d8159651eb7141362f5f2fb6d3cadee5faf5ac46f3c2cddc8d9","last_reissued_at":"2026-05-17T23:53:31.363055Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:31.363055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.11372","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":"2026-05-17T23:53:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b05R4TYQkAuXJvyyL+qF9eu4yWfzrVztm13VVA2BrSPrh/FvxlD0GnUGrjSC/D0k3tMKI8I5lT973Ktq+tz9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:56:24.486436Z"},"content_sha256":"987c89d5dd0f7e04520dfe31a0223488a04b1bebc89a29166926557eb763f4cc","schema_version":"1.0","event_id":"sha256:987c89d5dd0f7e04520dfe31a0223488a04b1bebc89a29166926557eb763f4cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:44RW4B5SPKGYCWLFD23RIE3C6X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High-order, linearly stable, partitioned solvers for general multiphysics problems based on implicit-explicit Runge-Kutta schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Daniel Z. Huang, Matthew J. Zahr, Per-Olof Persson","submitted_at":"2018-03-30T07:36:09Z","abstract_excerpt":"This work introduces a general framework for constructing high-order, linearly stable, partitioned solvers for multiphysics problems from a monolithic implicit-explicit Runge-Kutta (IMEX-RK) discretization of the semi-discrete equations. The generic multiphysics problem is modeled as a system of n systems of partial differential equations where the ith subsystem is coupled to the other subsystems through a coupling term that can depend on the state of all the other subsystems. This coupled system of partial differential equations reduces to a coupled system of ordinary differential equations v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.11372","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":""},"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":"2026-05-17T23:53:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EXKFDScEpZz3jYFHwcK5UnIcDIeD2uWqoBqVmTFzRfl9rhzVfupu7bNQ9DqWcGZhTCe18qsln4gDkwAnpa3aCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:56:24.486795Z"},"content_sha256":"859cbd46217954aacd86a2167a5fd098dd0c3416ed2c1e2ca9a288501d924a35","schema_version":"1.0","event_id":"sha256:859cbd46217954aacd86a2167a5fd098dd0c3416ed2c1e2ca9a288501d924a35"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/44RW4B5SPKGYCWLFD23RIE3C6X/bundle.json","state_url":"https://pith.science/pith/44RW4B5SPKGYCWLFD23RIE3C6X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/44RW4B5SPKGYCWLFD23RIE3C6X/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":"2026-06-01T16:56:24Z","links":{"resolver":"https://pith.science/pith/44RW4B5SPKGYCWLFD23RIE3C6X","bundle":"https://pith.science/pith/44RW4B5SPKGYCWLFD23RIE3C6X/bundle.json","state":"https://pith.science/pith/44RW4B5SPKGYCWLFD23RIE3C6X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/44RW4B5SPKGYCWLFD23RIE3C6X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:44RW4B5SPKGYCWLFD23RIE3C6X","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":"26785d8b2e20d717f7d0595712ab155f92e2531e9ade6a33c5bd142598e09730","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-30T07:36:09Z","title_canon_sha256":"022ccce8d998a1de90ea24e519e12a2c4ca975037c95936a8130c4831d526d89"},"schema_version":"1.0","source":{"id":"1803.11372","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.11372","created_at":"2026-05-17T23:53:31Z"},{"alias_kind":"arxiv_version","alias_value":"1803.11372v2","created_at":"2026-05-17T23:53:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.11372","created_at":"2026-05-17T23:53:31Z"},{"alias_kind":"pith_short_12","alias_value":"44RW4B5SPKGY","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"44RW4B5SPKGYCWLF","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"44RW4B5S","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:859cbd46217954aacd86a2167a5fd098dd0c3416ed2c1e2ca9a288501d924a35","target":"graph","created_at":"2026-05-17T23:53:31Z","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":"This work introduces a general framework for constructing high-order, linearly stable, partitioned solvers for multiphysics problems from a monolithic implicit-explicit Runge-Kutta (IMEX-RK) discretization of the semi-discrete equations. The generic multiphysics problem is modeled as a system of n systems of partial differential equations where the ith subsystem is coupled to the other subsystems through a coupling term that can depend on the state of all the other subsystems. This coupled system of partial differential equations reduces to a coupled system of ordinary differential equations v","authors_text":"Daniel Z. Huang, Matthew J. Zahr, Per-Olof Persson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-30T07:36:09Z","title":"High-order, linearly stable, partitioned solvers for general multiphysics problems based on implicit-explicit Runge-Kutta schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.11372","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":"sha256:987c89d5dd0f7e04520dfe31a0223488a04b1bebc89a29166926557eb763f4cc","target":"record","created_at":"2026-05-17T23:53:31Z","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":"26785d8b2e20d717f7d0595712ab155f92e2531e9ade6a33c5bd142598e09730","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-03-30T07:36:09Z","title_canon_sha256":"022ccce8d998a1de90ea24e519e12a2c4ca975037c95936a8130c4831d526d89"},"schema_version":"1.0","source":{"id":"1803.11372","kind":"arxiv","version":2}},"canonical_sha256":"e7236e07b27a8d8159651eb7141362f5f2fb6d3cadee5faf5ac46f3c2cddc8d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7236e07b27a8d8159651eb7141362f5f2fb6d3cadee5faf5ac46f3c2cddc8d9","first_computed_at":"2026-05-17T23:53:31.363055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:31.363055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a+k4JDxAR4XzLPZtyAiSoYruggw/dhal2kRZlh/yNU88ZjjZS0JIrSmMphFvkE4Qpn7zyces+nL0LlMC5qLTAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:31.363718Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.11372","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:987c89d5dd0f7e04520dfe31a0223488a04b1bebc89a29166926557eb763f4cc","sha256:859cbd46217954aacd86a2167a5fd098dd0c3416ed2c1e2ca9a288501d924a35"],"state_sha256":"86f5b97425a063aeca202cfd756041cf94a7218c0caaadf728d2ade444508e91"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WuBR5xfndN7IkxXtGy9OOYbb1GjQ89Ki4JVEoKXwmwIVXJjcEJ1tN4MlIgeWOXIYAMwa7FfcOR/s7w9UmVnNDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:56:24.488731Z","bundle_sha256":"9e2033ccffe174915e8d25658e8bb84a1ae15027707560958c5e9349f6dc4157"}}