{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QB56D2OGEMXMDEBAVXZNIZILD3","short_pith_number":"pith:QB56D2OG","canonical_record":{"source":{"id":"1806.09399","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-25T11:58:52Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"05d95b439694e422538c3d919a0a0ecd35443d1f86b11566e2ead44ba002a5bb","abstract_canon_sha256":"c8835537a7285bf7938f9e62df699a6c5da1d2996a3d16d44e4bc56cd0de2a5c"},"schema_version":"1.0"},"canonical_sha256":"807be1e9c6232ec19020adf2d4650b1ed399f216e1b232f6e85a1aa73a128201","source":{"kind":"arxiv","id":"1806.09399","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.09399","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"arxiv_version","alias_value":"1806.09399v3","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.09399","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"pith_short_12","alias_value":"QB56D2OGEMXM","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"pith_short_16","alias_value":"QB56D2OGEMXMDEBA","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"pith_short_8","alias_value":"QB56D2OG","created_at":"2026-06-04T19:12:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QB56D2OGEMXMDEBAVXZNIZILD3","target":"record","payload":{"canonical_record":{"source":{"id":"1806.09399","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-25T11:58:52Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"05d95b439694e422538c3d919a0a0ecd35443d1f86b11566e2ead44ba002a5bb","abstract_canon_sha256":"c8835537a7285bf7938f9e62df699a6c5da1d2996a3d16d44e4bc56cd0de2a5c"},"schema_version":"1.0"},"canonical_sha256":"807be1e9c6232ec19020adf2d4650b1ed399f216e1b232f6e85a1aa73a128201","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T19:12:00.636781Z","signature_b64":"tntdUNWFJQ/RpzXZTtTOE4cArlSPXIpSqAVY4OkDYQe5ZzoY9A5RJ3TeLOuE4lqTXpIYMZcksx2hh8P1gFuDBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"807be1e9c6232ec19020adf2d4650b1ed399f216e1b232f6e85a1aa73a128201","last_reissued_at":"2026-06-04T19:12:00.636328Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T19:12:00.636328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.09399","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-04T19:12:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L1gPHVYwCt950bQkR7et+CKRtOktjyUV+6JGDSMVvOPTyXCusEbM5PshacR4gqvDS8GlWDilTm7T8x129b8wCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:25:13.267456Z"},"content_sha256":"0fe84b4c7221226e13fb75e07cbe2ee3cf6018a851f7b352c78a02a88545202a","schema_version":"1.0","event_id":"sha256:0fe84b4c7221226e13fb75e07cbe2ee3cf6018a851f7b352c78a02a88545202a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QB56D2OGEMXMDEBAVXZNIZILD3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A finite element method by patch reconstruction for the Stokes problem using mixed formulations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Fanyi Yang, Ruo Li, Zhijian Yang, Zhiyuan Sun","submitted_at":"2018-06-25T11:58:52Z","abstract_excerpt":"In this paper, we develop a patch reconstruction finite element method for the Stokes problem. The weak formulation of the interior penalty discontinuous Galerkin is employed. The proposed method has a great flexibility in velocity-pressure space pairs whose stability properties are confirmed by the inf-sup tests. Numerical examples show the applicability and efficiency of the proposed method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.09399","kind":"arxiv","version":3},"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/1806.09399/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":"2026-06-04T19:12:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cGwQybkV+mufBjpkdgebztpa3zJG++1F7eUTJ7wV7OJ9P+rpED1zgU1M83QbeeggnzKlfyJikRTGKmP1X2i1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:25:13.268203Z"},"content_sha256":"7afee27cf8c786a1bff11d25abbd5886145cd3ffb259ce2632a0ed259dd75096","schema_version":"1.0","event_id":"sha256:7afee27cf8c786a1bff11d25abbd5886145cd3ffb259ce2632a0ed259dd75096"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QB56D2OGEMXMDEBAVXZNIZILD3/bundle.json","state_url":"https://pith.science/pith/QB56D2OGEMXMDEBAVXZNIZILD3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QB56D2OGEMXMDEBAVXZNIZILD3/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":"2026-06-11T02:25:13Z","links":{"resolver":"https://pith.science/pith/QB56D2OGEMXMDEBAVXZNIZILD3","bundle":"https://pith.science/pith/QB56D2OGEMXMDEBAVXZNIZILD3/bundle.json","state":"https://pith.science/pith/QB56D2OGEMXMDEBAVXZNIZILD3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QB56D2OGEMXMDEBAVXZNIZILD3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QB56D2OGEMXMDEBAVXZNIZILD3","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":"c8835537a7285bf7938f9e62df699a6c5da1d2996a3d16d44e4bc56cd0de2a5c","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-25T11:58:52Z","title_canon_sha256":"05d95b439694e422538c3d919a0a0ecd35443d1f86b11566e2ead44ba002a5bb"},"schema_version":"1.0","source":{"id":"1806.09399","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.09399","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"arxiv_version","alias_value":"1806.09399v3","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.09399","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"pith_short_12","alias_value":"QB56D2OGEMXM","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"pith_short_16","alias_value":"QB56D2OGEMXMDEBA","created_at":"2026-06-04T19:12:00Z"},{"alias_kind":"pith_short_8","alias_value":"QB56D2OG","created_at":"2026-06-04T19:12:00Z"}],"graph_snapshots":[{"event_id":"sha256:7afee27cf8c786a1bff11d25abbd5886145cd3ffb259ce2632a0ed259dd75096","target":"graph","created_at":"2026-06-04T19:12:00Z","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/1806.09399/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we develop a patch reconstruction finite element method for the Stokes problem. The weak formulation of the interior penalty discontinuous Galerkin is employed. The proposed method has a great flexibility in velocity-pressure space pairs whose stability properties are confirmed by the inf-sup tests. Numerical examples show the applicability and efficiency of the proposed method.","authors_text":"Fanyi Yang, Ruo Li, Zhijian Yang, Zhiyuan Sun","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-25T11:58:52Z","title":"A finite element method by patch reconstruction for the Stokes problem using mixed formulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.09399","kind":"arxiv","version":3},"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":"sha256:0fe84b4c7221226e13fb75e07cbe2ee3cf6018a851f7b352c78a02a88545202a","target":"record","created_at":"2026-06-04T19:12:00Z","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":"c8835537a7285bf7938f9e62df699a6c5da1d2996a3d16d44e4bc56cd0de2a5c","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-06-25T11:58:52Z","title_canon_sha256":"05d95b439694e422538c3d919a0a0ecd35443d1f86b11566e2ead44ba002a5bb"},"schema_version":"1.0","source":{"id":"1806.09399","kind":"arxiv","version":3}},"canonical_sha256":"807be1e9c6232ec19020adf2d4650b1ed399f216e1b232f6e85a1aa73a128201","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"807be1e9c6232ec19020adf2d4650b1ed399f216e1b232f6e85a1aa73a128201","first_computed_at":"2026-06-04T19:12:00.636328Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T19:12:00.636328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tntdUNWFJQ/RpzXZTtTOE4cArlSPXIpSqAVY4OkDYQe5ZzoY9A5RJ3TeLOuE4lqTXpIYMZcksx2hh8P1gFuDBg==","signature_status":"signed_v1","signed_at":"2026-06-04T19:12:00.636781Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.09399","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0fe84b4c7221226e13fb75e07cbe2ee3cf6018a851f7b352c78a02a88545202a","sha256:7afee27cf8c786a1bff11d25abbd5886145cd3ffb259ce2632a0ed259dd75096"],"state_sha256":"cad0228ce064e3aa300dd66e8896946b055ba48c27dcadffef43e66cd3166876"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DwXkip/Ik8Gw0ovdnTnSt+v7xB9KIo1YDuaUQnH47nB6pOdfPHnufWmky+O9UBGeZ+i7lKkKzZhZ00IC6MqkCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T02:25:13.271780Z","bundle_sha256":"90ba15980cb86bb97f4407fe398df86a8394259aa2c4dd1772d6f7d8b5a7adc1"}}