{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:NAIH5JY77GREIRRGOW3PZU2MAX","short_pith_number":"pith:NAIH5JY7","canonical_record":{"source":{"id":"1601.00012","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-12-31T21:31:45Z","cross_cats_sorted":[],"title_canon_sha256":"0e969f06931ef275cd40a4d663640384df9402416b424c4d612a9028947c7be7","abstract_canon_sha256":"3142ead7c467fb8b00014513907e0348545e30c29f9984d6f5c4dde8c1580e4c"},"schema_version":"1.0"},"canonical_sha256":"68107ea71ff9a244462675b6fcd34c05c470bba6b6e131330396146c1958a8b2","source":{"kind":"arxiv","id":"1601.00012","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00012","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00012v1","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00012","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"pith_short_12","alias_value":"NAIH5JY77GRE","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NAIH5JY77GREIRRG","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NAIH5JY7","created_at":"2026-05-18T12:29:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:NAIH5JY77GREIRRGOW3PZU2MAX","target":"record","payload":{"canonical_record":{"source":{"id":"1601.00012","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-12-31T21:31:45Z","cross_cats_sorted":[],"title_canon_sha256":"0e969f06931ef275cd40a4d663640384df9402416b424c4d612a9028947c7be7","abstract_canon_sha256":"3142ead7c467fb8b00014513907e0348545e30c29f9984d6f5c4dde8c1580e4c"},"schema_version":"1.0"},"canonical_sha256":"68107ea71ff9a244462675b6fcd34c05c470bba6b6e131330396146c1958a8b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:32.031598Z","signature_b64":"PGG4zIa6vkiOXKfSfT8VIAjzWHDuYFfPsAbtxfwa+g5RN4jWKpsTZueqXCzgd4jHCyXpTeLqMo/1D1jENQE2BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68107ea71ff9a244462675b6fcd34c05c470bba6b6e131330396146c1958a8b2","last_reissued_at":"2026-05-18T01:23:32.031077Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:32.031077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.00012","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":"2026-05-18T01:23:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lnB2tgbkt/6802yl9DlgshooQWUaD522glgxmNW+WWg3tQWH+UecMg7Q21bHu5rauv0ok8g9WL+J66Z4EKGRBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T18:32:27.332928Z"},"content_sha256":"4df5afb3ccbd08c5062c842f9d2c449c00469eb85c9f871681073b8e2bef5398","schema_version":"1.0","event_id":"sha256:4df5afb3ccbd08c5062c842f9d2c449c00469eb85c9f871681073b8e2bef5398"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:NAIH5JY77GREIRRGOW3PZU2MAX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Numerical analysis of a family of optimal distributed control problems governed by an elliptic variational inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Domingo A. Tarzia, Mariela C. Olguin","submitted_at":"2015-12-31T21:31:45Z","abstract_excerpt":"The numerical analysis of a family of distributed mixed optimal control problems governed by elliptic variational inequalities (with parameter $\\alpha >0$) is obtained through the finite element method when its parameter $h\\rightarrow 0$. We also obtain the limit of the discrete optimal control and the associated state system solutions when $\\alpha\\rightarrow \\infty$ (for each $h>0$) and a commutative diagram for two continuous and two discrete optimal control and its associated state system solutions is obtained when $h\\rightarrow 0$ and $\\alpha\\rightarrow \\infty$. Moreover, the double conver"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00012","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":"2026-05-18T01:23:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5MYY2oa8j3GgD4F4xUpXUPO1Y/P+sBkvgKJzyugSr9v+Gvr0MTWet9ykvxkR0fhftoA2UFP4gPFMrgBaj0tkAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T18:32:27.333265Z"},"content_sha256":"151558f1bf9a486feeb038075f48cfe1f2a7009784a9dcda787a3023030d1adb","schema_version":"1.0","event_id":"sha256:151558f1bf9a486feeb038075f48cfe1f2a7009784a9dcda787a3023030d1adb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NAIH5JY77GREIRRGOW3PZU2MAX/bundle.json","state_url":"https://pith.science/pith/NAIH5JY77GREIRRGOW3PZU2MAX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NAIH5JY77GREIRRGOW3PZU2MAX/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":"2026-07-03T18:32:27Z","links":{"resolver":"https://pith.science/pith/NAIH5JY77GREIRRGOW3PZU2MAX","bundle":"https://pith.science/pith/NAIH5JY77GREIRRGOW3PZU2MAX/bundle.json","state":"https://pith.science/pith/NAIH5JY77GREIRRGOW3PZU2MAX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NAIH5JY77GREIRRGOW3PZU2MAX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NAIH5JY77GREIRRGOW3PZU2MAX","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":"3142ead7c467fb8b00014513907e0348545e30c29f9984d6f5c4dde8c1580e4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-12-31T21:31:45Z","title_canon_sha256":"0e969f06931ef275cd40a4d663640384df9402416b424c4d612a9028947c7be7"},"schema_version":"1.0","source":{"id":"1601.00012","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.00012","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"arxiv_version","alias_value":"1601.00012v1","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.00012","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"pith_short_12","alias_value":"NAIH5JY77GRE","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NAIH5JY77GREIRRG","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NAIH5JY7","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:151558f1bf9a486feeb038075f48cfe1f2a7009784a9dcda787a3023030d1adb","target":"graph","created_at":"2026-05-18T01:23:32Z","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":"The numerical analysis of a family of distributed mixed optimal control problems governed by elliptic variational inequalities (with parameter $\\alpha >0$) is obtained through the finite element method when its parameter $h\\rightarrow 0$. We also obtain the limit of the discrete optimal control and the associated state system solutions when $\\alpha\\rightarrow \\infty$ (for each $h>0$) and a commutative diagram for two continuous and two discrete optimal control and its associated state system solutions is obtained when $h\\rightarrow 0$ and $\\alpha\\rightarrow \\infty$. Moreover, the double conver","authors_text":"Domingo A. Tarzia, Mariela C. Olguin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-12-31T21:31:45Z","title":"Numerical analysis of a family of optimal distributed control problems governed by an elliptic variational inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00012","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":"sha256:4df5afb3ccbd08c5062c842f9d2c449c00469eb85c9f871681073b8e2bef5398","target":"record","created_at":"2026-05-18T01:23:32Z","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":"3142ead7c467fb8b00014513907e0348545e30c29f9984d6f5c4dde8c1580e4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-12-31T21:31:45Z","title_canon_sha256":"0e969f06931ef275cd40a4d663640384df9402416b424c4d612a9028947c7be7"},"schema_version":"1.0","source":{"id":"1601.00012","kind":"arxiv","version":1}},"canonical_sha256":"68107ea71ff9a244462675b6fcd34c05c470bba6b6e131330396146c1958a8b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68107ea71ff9a244462675b6fcd34c05c470bba6b6e131330396146c1958a8b2","first_computed_at":"2026-05-18T01:23:32.031077Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:32.031077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PGG4zIa6vkiOXKfSfT8VIAjzWHDuYFfPsAbtxfwa+g5RN4jWKpsTZueqXCzgd4jHCyXpTeLqMo/1D1jENQE2BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:32.031598Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.00012","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4df5afb3ccbd08c5062c842f9d2c449c00469eb85c9f871681073b8e2bef5398","sha256:151558f1bf9a486feeb038075f48cfe1f2a7009784a9dcda787a3023030d1adb"],"state_sha256":"c72837e379a19f950bca267101590bd0ce7ee52dd3b83e021703ca9654524eb2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R+YqhJNUh2BBorp8d+yRZMLw9qfIWETElrl6w01OxcyceozWUqqGuWB7sJxQbAqR4uWVrIrGn16fA/bCvhV5AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T18:32:27.335217Z","bundle_sha256":"ac5d6eb029c9b6975170f12447ccb7c1ce096820ef69b53b9baaecd458f85dcf"}}