{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:AE7EZZFDJHI3RGFZXRYBOB3DKP","short_pith_number":"pith:AE7EZZFD","canonical_record":{"source":{"id":"1602.06344","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-19T23:30:53Z","cross_cats_sorted":[],"title_canon_sha256":"fc43ab3e397faf0fd1c805e3f52b57907a87212c6f4d31199b7c0c54d9474238","abstract_canon_sha256":"9b580cbde4e9c2078ff8a81205b30b3bacf81a8e613709fc47e9155a41316298"},"schema_version":"1.0"},"canonical_sha256":"013e4ce4a349d1b898b9bc7017076353d2247f82a0f6c8ee3f742c8b621ab600","source":{"kind":"arxiv","id":"1602.06344","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06344","created_at":"2026-05-18T01:20:14Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06344v1","created_at":"2026-05-18T01:20:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06344","created_at":"2026-05-18T01:20:14Z"},{"alias_kind":"pith_short_12","alias_value":"AE7EZZFDJHI3","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AE7EZZFDJHI3RGFZ","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AE7EZZFD","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:AE7EZZFDJHI3RGFZXRYBOB3DKP","target":"record","payload":{"canonical_record":{"source":{"id":"1602.06344","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-19T23:30:53Z","cross_cats_sorted":[],"title_canon_sha256":"fc43ab3e397faf0fd1c805e3f52b57907a87212c6f4d31199b7c0c54d9474238","abstract_canon_sha256":"9b580cbde4e9c2078ff8a81205b30b3bacf81a8e613709fc47e9155a41316298"},"schema_version":"1.0"},"canonical_sha256":"013e4ce4a349d1b898b9bc7017076353d2247f82a0f6c8ee3f742c8b621ab600","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:14.351891Z","signature_b64":"GyEcE3Wo39bZXGbzQKiuinDGMAUwz2rLLmaZR3XaGS+S7lTmQzfPsNxaWuRmV9L6oj7TBgCYGfd3bOI1MqPuBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"013e4ce4a349d1b898b9bc7017076353d2247f82a0f6c8ee3f742c8b621ab600","last_reissued_at":"2026-05-18T01:20:14.351300Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:14.351300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.06344","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":"2026-05-18T01:20:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ibPFQ7ZqPPuUUpR+iRtvVMW4HAMDaj5VyqaGyS9h97lG8rRceGRt3izOAoJYP93yu95g0vuc/HPSeusKtSE3Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:02:09.630485Z"},"content_sha256":"4ae02be3bdbdd955110763aac444d2530fc0464a0cafc661374dec0212837ea4","schema_version":"1.0","event_id":"sha256:4ae02be3bdbdd955110763aac444d2530fc0464a0cafc661374dec0212837ea4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:AE7EZZFDJHI3RGFZXRYBOB3DKP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High-order time stepping for the Navier-Stokes equations with minimal computational complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Jean-Luc Guermond, Peter Minev","submitted_at":"2016-02-19T23:30:53Z","abstract_excerpt":"In this paper we present extensions of the schemes proposed in \\cite{GM14} that lead to a decoupling of the velocity components in the momentum equation. The new schemes reduce the solution of the incompressible Navier-Stokes equations to a set of classical uncoupled parabolic problems for each Cartesian component of the velocity. The pressure is explicitly recovered after the velocity is computed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06344","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":"2026-05-18T01:20:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xwtV5vmK/0c4KjL68J91Xc7Suljz77TrnIuw796Jtas6GZzS6h9HWaM3ei+E046ZqKHATSYqpg4Be5hd3z9zAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T01:02:09.631175Z"},"content_sha256":"d48b8782dab0e24a667390bc397b35c2c30538a9da96a0898a819911cc223eea","schema_version":"1.0","event_id":"sha256:d48b8782dab0e24a667390bc397b35c2c30538a9da96a0898a819911cc223eea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AE7EZZFDJHI3RGFZXRYBOB3DKP/bundle.json","state_url":"https://pith.science/pith/AE7EZZFDJHI3RGFZXRYBOB3DKP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AE7EZZFDJHI3RGFZXRYBOB3DKP/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":"2026-06-10T01:02:09Z","links":{"resolver":"https://pith.science/pith/AE7EZZFDJHI3RGFZXRYBOB3DKP","bundle":"https://pith.science/pith/AE7EZZFDJHI3RGFZXRYBOB3DKP/bundle.json","state":"https://pith.science/pith/AE7EZZFDJHI3RGFZXRYBOB3DKP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AE7EZZFDJHI3RGFZXRYBOB3DKP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AE7EZZFDJHI3RGFZXRYBOB3DKP","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":"9b580cbde4e9c2078ff8a81205b30b3bacf81a8e613709fc47e9155a41316298","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-19T23:30:53Z","title_canon_sha256":"fc43ab3e397faf0fd1c805e3f52b57907a87212c6f4d31199b7c0c54d9474238"},"schema_version":"1.0","source":{"id":"1602.06344","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.06344","created_at":"2026-05-18T01:20:14Z"},{"alias_kind":"arxiv_version","alias_value":"1602.06344v1","created_at":"2026-05-18T01:20:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06344","created_at":"2026-05-18T01:20:14Z"},{"alias_kind":"pith_short_12","alias_value":"AE7EZZFDJHI3","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AE7EZZFDJHI3RGFZ","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AE7EZZFD","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:d48b8782dab0e24a667390bc397b35c2c30538a9da96a0898a819911cc223eea","target":"graph","created_at":"2026-05-18T01:20:14Z","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":"In this paper we present extensions of the schemes proposed in \\cite{GM14} that lead to a decoupling of the velocity components in the momentum equation. The new schemes reduce the solution of the incompressible Navier-Stokes equations to a set of classical uncoupled parabolic problems for each Cartesian component of the velocity. The pressure is explicitly recovered after the velocity is computed.","authors_text":"Jean-Luc Guermond, Peter Minev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-19T23:30:53Z","title":"High-order time stepping for the Navier-Stokes equations with minimal computational complexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06344","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":"sha256:4ae02be3bdbdd955110763aac444d2530fc0464a0cafc661374dec0212837ea4","target":"record","created_at":"2026-05-18T01:20:14Z","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":"9b580cbde4e9c2078ff8a81205b30b3bacf81a8e613709fc47e9155a41316298","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-02-19T23:30:53Z","title_canon_sha256":"fc43ab3e397faf0fd1c805e3f52b57907a87212c6f4d31199b7c0c54d9474238"},"schema_version":"1.0","source":{"id":"1602.06344","kind":"arxiv","version":1}},"canonical_sha256":"013e4ce4a349d1b898b9bc7017076353d2247f82a0f6c8ee3f742c8b621ab600","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"013e4ce4a349d1b898b9bc7017076353d2247f82a0f6c8ee3f742c8b621ab600","first_computed_at":"2026-05-18T01:20:14.351300Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:14.351300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GyEcE3Wo39bZXGbzQKiuinDGMAUwz2rLLmaZR3XaGS+S7lTmQzfPsNxaWuRmV9L6oj7TBgCYGfd3bOI1MqPuBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:14.351891Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.06344","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ae02be3bdbdd955110763aac444d2530fc0464a0cafc661374dec0212837ea4","sha256:d48b8782dab0e24a667390bc397b35c2c30538a9da96a0898a819911cc223eea"],"state_sha256":"5addf22f81ae5afddc2de7b94e6b5842186066cce0c4e2274d129d3fe0875d61"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cQh2NxP4EHNBzjY9k8os3dIFn6fIsz/wwO2m8qfXMF+dlpUjpIL7IIGlMoI3LDVSyPD68KH/rIBMRh3sfKq4AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T01:02:09.635541Z","bundle_sha256":"bddb0fb3d798071bdb3e3f5e15ae57c1baa768b39cc964f2b5e2c4a7c4dbce5f"}}