{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:UAYTBASWDXS7UDTMAI2ZNGLH2N","short_pith_number":"pith:UAYTBASW","canonical_record":{"source":{"id":"1801.01461","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-03T15:45:39Z","cross_cats_sorted":[],"title_canon_sha256":"661543385d6c5a82a305af4d04bd9f15610d0c24157e3413668f07a2bbb0e550","abstract_canon_sha256":"0e5b68688238d0fabd4e89b1dbc9fed62ea82701f5d6ee1b4f90585773cced14"},"schema_version":"1.0"},"canonical_sha256":"a0313082561de5fa0e6c0235969967d3793c44a5fe04665d3e7be67f1cd38ba9","source":{"kind":"arxiv","id":"1801.01461","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01461","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01461v1","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01461","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"UAYTBASWDXS7","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UAYTBASWDXS7UDTM","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UAYTBASW","created_at":"2026-05-18T12:32:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:UAYTBASWDXS7UDTMAI2ZNGLH2N","target":"record","payload":{"canonical_record":{"source":{"id":"1801.01461","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-03T15:45:39Z","cross_cats_sorted":[],"title_canon_sha256":"661543385d6c5a82a305af4d04bd9f15610d0c24157e3413668f07a2bbb0e550","abstract_canon_sha256":"0e5b68688238d0fabd4e89b1dbc9fed62ea82701f5d6ee1b4f90585773cced14"},"schema_version":"1.0"},"canonical_sha256":"a0313082561de5fa0e6c0235969967d3793c44a5fe04665d3e7be67f1cd38ba9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:42.053417Z","signature_b64":"c5WR05yuYmliHc58kyGRqtmd2iuLr2hrEkjNqFT2+BwoGyWG+nHGzVas0YNV05JJuX7lWWSDMQayXiIChlS6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0313082561de5fa0e6c0235969967d3793c44a5fe04665d3e7be67f1cd38ba9","last_reissued_at":"2026-05-18T00:26:42.052976Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:42.052976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.01461","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":"2026-05-18T00:26:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WyJ4D++uIj2ZC5osEni6ZEJ1ZzyBby8EMH8IMuwWkrQF24EHUqTjItyBnwMLtalSXtSKCrJUnV8/+OCwWn9bDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T21:24:55.151832Z"},"content_sha256":"b458698ff960cdb7863ce4d09a3db392bf434a722461fe9175baf30685d9a056","schema_version":"1.0","event_id":"sha256:b458698ff960cdb7863ce4d09a3db392bf434a722461fe9175baf30685d9a056"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:UAYTBASWDXS7UDTMAI2ZNGLH2N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs I: High Regularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"John R. Singler, Mariano Mateos, Weiwei Hu, Yangwen Zhang","submitted_at":"2018-01-03T15:45:39Z","abstract_excerpt":"We propose a new hybridizable discontinuous Galerkin (HDG) method to approximate the solution of a Dirichlet boundary control problem governed by an elliptic convection diffusion PDE. Even without a convection term, Dirichlet boundary control problems are well-known to be very challenging theoretically and numerically. Although there are many works in the literature on Dirichlet boundary control problems for the Poisson equation, the authors are not aware of any existing theoretical or numerical analysis works for convection diffusion Dirichlet control problems. We make two contributions. Firs"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01461","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":"2026-05-18T00:26:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PBrcearGlmy+sZpAIHcp8WE8XjX4l5GOQ5x9QEJWkIsw0gRAMB0j+bGTHsCQGKJnigHVuF20JuQcNNCQS0T3Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T21:24:55.152183Z"},"content_sha256":"bd46373a0113af89e0c729846320ad5ce9038ea97384790bf80102b2ea591d09","schema_version":"1.0","event_id":"sha256:bd46373a0113af89e0c729846320ad5ce9038ea97384790bf80102b2ea591d09"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UAYTBASWDXS7UDTMAI2ZNGLH2N/bundle.json","state_url":"https://pith.science/pith/UAYTBASWDXS7UDTMAI2ZNGLH2N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UAYTBASWDXS7UDTMAI2ZNGLH2N/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":"2026-06-23T21:24:55Z","links":{"resolver":"https://pith.science/pith/UAYTBASWDXS7UDTMAI2ZNGLH2N","bundle":"https://pith.science/pith/UAYTBASWDXS7UDTMAI2ZNGLH2N/bundle.json","state":"https://pith.science/pith/UAYTBASWDXS7UDTMAI2ZNGLH2N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UAYTBASWDXS7UDTMAI2ZNGLH2N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:UAYTBASWDXS7UDTMAI2ZNGLH2N","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":"0e5b68688238d0fabd4e89b1dbc9fed62ea82701f5d6ee1b4f90585773cced14","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-03T15:45:39Z","title_canon_sha256":"661543385d6c5a82a305af4d04bd9f15610d0c24157e3413668f07a2bbb0e550"},"schema_version":"1.0","source":{"id":"1801.01461","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.01461","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"arxiv_version","alias_value":"1801.01461v1","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.01461","created_at":"2026-05-18T00:26:42Z"},{"alias_kind":"pith_short_12","alias_value":"UAYTBASWDXS7","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UAYTBASWDXS7UDTM","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UAYTBASW","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:bd46373a0113af89e0c729846320ad5ce9038ea97384790bf80102b2ea591d09","target":"graph","created_at":"2026-05-18T00:26:42Z","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 propose a new hybridizable discontinuous Galerkin (HDG) method to approximate the solution of a Dirichlet boundary control problem governed by an elliptic convection diffusion PDE. Even without a convection term, Dirichlet boundary control problems are well-known to be very challenging theoretically and numerically. Although there are many works in the literature on Dirichlet boundary control problems for the Poisson equation, the authors are not aware of any existing theoretical or numerical analysis works for convection diffusion Dirichlet control problems. We make two contributions. Firs","authors_text":"John R. Singler, Mariano Mateos, Weiwei Hu, Yangwen Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-03T15:45:39Z","title":"A New HDG Method for Dirichlet Boundary Control of Convection Diffusion PDEs I: High Regularity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01461","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:b458698ff960cdb7863ce4d09a3db392bf434a722461fe9175baf30685d9a056","target":"record","created_at":"2026-05-18T00:26:42Z","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":"0e5b68688238d0fabd4e89b1dbc9fed62ea82701f5d6ee1b4f90585773cced14","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-03T15:45:39Z","title_canon_sha256":"661543385d6c5a82a305af4d04bd9f15610d0c24157e3413668f07a2bbb0e550"},"schema_version":"1.0","source":{"id":"1801.01461","kind":"arxiv","version":1}},"canonical_sha256":"a0313082561de5fa0e6c0235969967d3793c44a5fe04665d3e7be67f1cd38ba9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0313082561de5fa0e6c0235969967d3793c44a5fe04665d3e7be67f1cd38ba9","first_computed_at":"2026-05-18T00:26:42.052976Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:42.052976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c5WR05yuYmliHc58kyGRqtmd2iuLr2hrEkjNqFT2+BwoGyWG+nHGzVas0YNV05JJuX7lWWSDMQayXiIChlS6Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:42.053417Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.01461","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b458698ff960cdb7863ce4d09a3db392bf434a722461fe9175baf30685d9a056","sha256:bd46373a0113af89e0c729846320ad5ce9038ea97384790bf80102b2ea591d09"],"state_sha256":"34a697aabaf4a399af5dd54e52980add3d7f497b5c264937dc972278cff6a780"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3uB7Zfitu07MRELPfR7V9H5tUvk8uH3ZL0Zmywct4kugz9K43QHiqeusQy1iO5PLuztotnEs+EbCkKNHVl2iDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T21:24:55.154128Z","bundle_sha256":"17955cf97ac17335c6a52117fcbfed918286b9b292cbb1adb8cbb09145166da6"}}