{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:JBLUOW57TBG6DC2MQY53XVQ2FQ","short_pith_number":"pith:JBLUOW57","canonical_record":{"source":{"id":"1710.08082","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-23T04:20:48Z","cross_cats_sorted":[],"title_canon_sha256":"3e477e54c3c95817701602d485cf8a34db6e5563479794c4b2c1d310a0ed6fa7","abstract_canon_sha256":"c7b557fe18b462d1ad80ebc6f5a08424c927885f5af492a429f86735b0fb4154"},"schema_version":"1.0"},"canonical_sha256":"4857475bbf984de18b4c863bbbd61a2c381ec4983b34aec2ea24fa0b01659f3b","source":{"kind":"arxiv","id":"1710.08082","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08082","created_at":"2026-05-18T00:32:19Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08082v1","created_at":"2026-05-18T00:32:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08082","created_at":"2026-05-18T00:32:19Z"},{"alias_kind":"pith_short_12","alias_value":"JBLUOW57TBG6","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"JBLUOW57TBG6DC2M","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"JBLUOW57","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:JBLUOW57TBG6DC2MQY53XVQ2FQ","target":"record","payload":{"canonical_record":{"source":{"id":"1710.08082","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-23T04:20:48Z","cross_cats_sorted":[],"title_canon_sha256":"3e477e54c3c95817701602d485cf8a34db6e5563479794c4b2c1d310a0ed6fa7","abstract_canon_sha256":"c7b557fe18b462d1ad80ebc6f5a08424c927885f5af492a429f86735b0fb4154"},"schema_version":"1.0"},"canonical_sha256":"4857475bbf984de18b4c863bbbd61a2c381ec4983b34aec2ea24fa0b01659f3b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:19.061537Z","signature_b64":"q+xjzmXDJYc76RQa0Jk4lhpTIQ4OqnFz/NpDCG8plFClz8LAAlo78kcKc7g4sbFkrjNqstSlyziL+u8w81Q1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4857475bbf984de18b4c863bbbd61a2c381ec4983b34aec2ea24fa0b01659f3b","last_reissued_at":"2026-05-18T00:32:19.061081Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:19.061081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.08082","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":"2026-05-18T00:32:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fwfB7Q9JlTFZHECue/H8Ua8kri9o5LNJtGka4QoUIasgdDaE7UBNJHupn0ojWDvAMpxRocXmp6a3J0QXlWabAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T04:37:56.050210Z"},"content_sha256":"bb6e179e323865fca20e174c0329cd07eabd0b44358f3ed720d35db7b61fbf97","schema_version":"1.0","event_id":"sha256:bb6e179e323865fca20e174c0329cd07eabd0b44358f3ed720d35db7b61fbf97"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:JBLUOW57TBG6DC2MQY53XVQ2FQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Conservative Flux Optimization Finite Element Method for Convection-Diffusion Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Junping Wang, Qingsong Zou, Yujie Liu","submitted_at":"2017-10-23T04:20:48Z","abstract_excerpt":"This article presents a new finite element method for convection-diffusion equations by enhancing the continuous finite element space with a flux space for flux approximations that preserve the important mass conservation locally on each element. The numerical scheme is based on a constrained flux optimization approach where the constraint was given by local mass conservation equations and the flux error is minimized in a prescribed topology/metric. This new scheme provides numerical approximations for both the primal and the flux variables. It is shown that the numerical approximations for th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08082","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":"2026-05-18T00:32:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o6rJhn1JijLXh6xs3B6IIArbm4OJQAR94hljpqKZhU7qnefd33eM4CQ+m8KCaGPoRC3k7BEuWToq3lQysM2/Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T04:37:56.051018Z"},"content_sha256":"3c08b859b292edf54e50eeb556c046b13785cf40feea51df7c7e0e00c4f67c34","schema_version":"1.0","event_id":"sha256:3c08b859b292edf54e50eeb556c046b13785cf40feea51df7c7e0e00c4f67c34"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JBLUOW57TBG6DC2MQY53XVQ2FQ/bundle.json","state_url":"https://pith.science/pith/JBLUOW57TBG6DC2MQY53XVQ2FQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JBLUOW57TBG6DC2MQY53XVQ2FQ/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":"2026-06-10T04:37:56Z","links":{"resolver":"https://pith.science/pith/JBLUOW57TBG6DC2MQY53XVQ2FQ","bundle":"https://pith.science/pith/JBLUOW57TBG6DC2MQY53XVQ2FQ/bundle.json","state":"https://pith.science/pith/JBLUOW57TBG6DC2MQY53XVQ2FQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JBLUOW57TBG6DC2MQY53XVQ2FQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JBLUOW57TBG6DC2MQY53XVQ2FQ","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":"c7b557fe18b462d1ad80ebc6f5a08424c927885f5af492a429f86735b0fb4154","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-23T04:20:48Z","title_canon_sha256":"3e477e54c3c95817701602d485cf8a34db6e5563479794c4b2c1d310a0ed6fa7"},"schema_version":"1.0","source":{"id":"1710.08082","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08082","created_at":"2026-05-18T00:32:19Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08082v1","created_at":"2026-05-18T00:32:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08082","created_at":"2026-05-18T00:32:19Z"},{"alias_kind":"pith_short_12","alias_value":"JBLUOW57TBG6","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"JBLUOW57TBG6DC2M","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"JBLUOW57","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:3c08b859b292edf54e50eeb556c046b13785cf40feea51df7c7e0e00c4f67c34","target":"graph","created_at":"2026-05-18T00:32:19Z","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 article presents a new finite element method for convection-diffusion equations by enhancing the continuous finite element space with a flux space for flux approximations that preserve the important mass conservation locally on each element. The numerical scheme is based on a constrained flux optimization approach where the constraint was given by local mass conservation equations and the flux error is minimized in a prescribed topology/metric. This new scheme provides numerical approximations for both the primal and the flux variables. It is shown that the numerical approximations for th","authors_text":"Junping Wang, Qingsong Zou, Yujie Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-23T04:20:48Z","title":"A Conservative Flux Optimization Finite Element Method for Convection-Diffusion Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08082","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:bb6e179e323865fca20e174c0329cd07eabd0b44358f3ed720d35db7b61fbf97","target":"record","created_at":"2026-05-18T00:32:19Z","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":"c7b557fe18b462d1ad80ebc6f5a08424c927885f5af492a429f86735b0fb4154","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-10-23T04:20:48Z","title_canon_sha256":"3e477e54c3c95817701602d485cf8a34db6e5563479794c4b2c1d310a0ed6fa7"},"schema_version":"1.0","source":{"id":"1710.08082","kind":"arxiv","version":1}},"canonical_sha256":"4857475bbf984de18b4c863bbbd61a2c381ec4983b34aec2ea24fa0b01659f3b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4857475bbf984de18b4c863bbbd61a2c381ec4983b34aec2ea24fa0b01659f3b","first_computed_at":"2026-05-18T00:32:19.061081Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:19.061081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q+xjzmXDJYc76RQa0Jk4lhpTIQ4OqnFz/NpDCG8plFClz8LAAlo78kcKc7g4sbFkrjNqstSlyziL+u8w81Q1Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:19.061537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.08082","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb6e179e323865fca20e174c0329cd07eabd0b44358f3ed720d35db7b61fbf97","sha256:3c08b859b292edf54e50eeb556c046b13785cf40feea51df7c7e0e00c4f67c34"],"state_sha256":"ea463938a12772ecdfd7bef91c64022618d29c587d022fc20a23c302d680f7b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+CF4IkrLqW/T2qMpY2nstTBTsooytdo4ezAeohqdqx8biS9QDOR3VNKcpC++x7ybAXu+ctLaXuwFHhq2UTtLDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T04:37:56.055074Z","bundle_sha256":"a3f9eea841b9c4f6ff0f0f5e418dc0114ff2ed95cc8639c235a69ab1530f2d62"}}