{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:H3ARTHAPPXIUSA4LODJMJMUAIO","short_pith_number":"pith:H3ARTHAP","canonical_record":{"source":{"id":"1702.05124","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-16T19:34:07Z","cross_cats_sorted":[],"title_canon_sha256":"73b400ac747da436baff56e35581665898c84607ec8742aded5609540fd2bb73","abstract_canon_sha256":"be00295715335aeb94fb56d63f925ee445ac21301728a02078aeb0b720ee5726"},"schema_version":"1.0"},"canonical_sha256":"3ec1199c0f7dd149038b70d2c4b28043abd6ff5c7d8c672d4abffdb894fe0141","source":{"kind":"arxiv","id":"1702.05124","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.05124","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"arxiv_version","alias_value":"1702.05124v6","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.05124","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"pith_short_12","alias_value":"H3ARTHAPPXIU","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"H3ARTHAPPXIUSA4L","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"H3ARTHAP","created_at":"2026-05-18T12:31:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:H3ARTHAPPXIUSA4LODJMJMUAIO","target":"record","payload":{"canonical_record":{"source":{"id":"1702.05124","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-16T19:34:07Z","cross_cats_sorted":[],"title_canon_sha256":"73b400ac747da436baff56e35581665898c84607ec8742aded5609540fd2bb73","abstract_canon_sha256":"be00295715335aeb94fb56d63f925ee445ac21301728a02078aeb0b720ee5726"},"schema_version":"1.0"},"canonical_sha256":"3ec1199c0f7dd149038b70d2c4b28043abd6ff5c7d8c672d4abffdb894fe0141","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:30.362034Z","signature_b64":"vk736saKzvoKSHUQ0vkXbud1TQqgykZElCgWhO8H+f6UWw9DcDVafJhba6K9s6YJ1tDaf4QJFDhVztR8ZwpAAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ec1199c0f7dd149038b70d2c4b28043abd6ff5c7d8c672d4abffdb894fe0141","last_reissued_at":"2026-05-17T23:56:30.361653Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:30.361653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.05124","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:56:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lqzP51RydUnivIfjCE7FucdNc1ESOnvckueBR3DTirZ+ypWSGVcwO2+3aQoZEbRKTGqwl7a5ctcwJNr0NKSfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:40:27.711925Z"},"content_sha256":"f3747acb470abab842aea8cf9f8a51f784c07aa8213a77db6a738b17ac9e6fcd","schema_version":"1.0","event_id":"sha256:f3747acb470abab842aea8cf9f8a51f784c07aa8213a77db6a738b17ac9e6fcd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:H3ARTHAPPXIUSA4LODJMJMUAIO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analysis of an HDG Method for Linearized Incompressible Resistive MHD Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Jeonghun J. Lee, John N. Shadid, Stephen Shannon, Tan Bui-Thanh","submitted_at":"2017-02-16T19:34:07Z","abstract_excerpt":"We present a hybridized discontinuous Galerkin (HDG) method for stationary linearized incompressible magnetohydrodynamics (MHD) equations. At the heart of the paper is the introduction of an HDG flux of the dual saddle-point form of the MHD equations that facilitates the hybridization of discontinuous Galerkin (DG) method. We carry out the $\\textit{a priori}$ error estimates for the proposed HDG method on simplicial meshes in both two- and three-dimensions. The analysis provides optimal convergence for the fluid velocity and the magnetic variables, and quasi-optimal convergence for the remaini"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05124","kind":"arxiv","version":6},"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":"2026-05-17T23:56:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zZwaDwCOwlOTjGohnm1gly9Csdw9Z7Vjt7jMjY6Zr3+2ym4KnkDUXdtirRV30N/6pMfat6bmee0wAACWFGM9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:40:27.712576Z"},"content_sha256":"fcaf1c5ebde152b0726b2016a7f84392d9d341e648a87874d400d65074931c75","schema_version":"1.0","event_id":"sha256:fcaf1c5ebde152b0726b2016a7f84392d9d341e648a87874d400d65074931c75"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H3ARTHAPPXIUSA4LODJMJMUAIO/bundle.json","state_url":"https://pith.science/pith/H3ARTHAPPXIUSA4LODJMJMUAIO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H3ARTHAPPXIUSA4LODJMJMUAIO/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":"2026-05-31T12:40:27Z","links":{"resolver":"https://pith.science/pith/H3ARTHAPPXIUSA4LODJMJMUAIO","bundle":"https://pith.science/pith/H3ARTHAPPXIUSA4LODJMJMUAIO/bundle.json","state":"https://pith.science/pith/H3ARTHAPPXIUSA4LODJMJMUAIO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H3ARTHAPPXIUSA4LODJMJMUAIO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:H3ARTHAPPXIUSA4LODJMJMUAIO","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":"be00295715335aeb94fb56d63f925ee445ac21301728a02078aeb0b720ee5726","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-16T19:34:07Z","title_canon_sha256":"73b400ac747da436baff56e35581665898c84607ec8742aded5609540fd2bb73"},"schema_version":"1.0","source":{"id":"1702.05124","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.05124","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"arxiv_version","alias_value":"1702.05124v6","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.05124","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"pith_short_12","alias_value":"H3ARTHAPPXIU","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"H3ARTHAPPXIUSA4L","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"H3ARTHAP","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:fcaf1c5ebde152b0726b2016a7f84392d9d341e648a87874d400d65074931c75","target":"graph","created_at":"2026-05-17T23:56:30Z","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":"We present a hybridized discontinuous Galerkin (HDG) method for stationary linearized incompressible magnetohydrodynamics (MHD) equations. At the heart of the paper is the introduction of an HDG flux of the dual saddle-point form of the MHD equations that facilitates the hybridization of discontinuous Galerkin (DG) method. We carry out the $\\textit{a priori}$ error estimates for the proposed HDG method on simplicial meshes in both two- and three-dimensions. The analysis provides optimal convergence for the fluid velocity and the magnetic variables, and quasi-optimal convergence for the remaini","authors_text":"Jeonghun J. Lee, John N. Shadid, Stephen Shannon, Tan Bui-Thanh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-16T19:34:07Z","title":"Analysis of an HDG Method for Linearized Incompressible Resistive MHD Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05124","kind":"arxiv","version":6},"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:f3747acb470abab842aea8cf9f8a51f784c07aa8213a77db6a738b17ac9e6fcd","target":"record","created_at":"2026-05-17T23:56:30Z","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":"be00295715335aeb94fb56d63f925ee445ac21301728a02078aeb0b720ee5726","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-02-16T19:34:07Z","title_canon_sha256":"73b400ac747da436baff56e35581665898c84607ec8742aded5609540fd2bb73"},"schema_version":"1.0","source":{"id":"1702.05124","kind":"arxiv","version":6}},"canonical_sha256":"3ec1199c0f7dd149038b70d2c4b28043abd6ff5c7d8c672d4abffdb894fe0141","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ec1199c0f7dd149038b70d2c4b28043abd6ff5c7d8c672d4abffdb894fe0141","first_computed_at":"2026-05-17T23:56:30.361653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:30.361653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vk736saKzvoKSHUQ0vkXbud1TQqgykZElCgWhO8H+f6UWw9DcDVafJhba6K9s6YJ1tDaf4QJFDhVztR8ZwpAAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:30.362034Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.05124","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3747acb470abab842aea8cf9f8a51f784c07aa8213a77db6a738b17ac9e6fcd","sha256:fcaf1c5ebde152b0726b2016a7f84392d9d341e648a87874d400d65074931c75"],"state_sha256":"df04270f476e9a8d5623cd20614db012f40b15aeb844818a96a4a74a76898a16"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"St9C4X/6aYcA1F1B71J/1mlCNHS0B2uhA1fD3z78/Q5qGDF8Gl8o+MAbSh/ZEoal8ZWhsIKDNwqAg8nSS9dFAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:40:27.715342Z","bundle_sha256":"759bddb4c1634564b8a8f39f0827db4c21363af10ceffaf925a352ae2ddd14b1"}}