{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:JIRRDGO3FWMFCWJSGGVUHHRSJ5","short_pith_number":"pith:JIRRDGO3","canonical_record":{"source":{"id":"1604.07658","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-04-26T12:49:02Z","cross_cats_sorted":[],"title_canon_sha256":"0e5fadaac8c3f8d7a497a502958f87ad908237015246ea9b76b5576e42b4f326","abstract_canon_sha256":"30c1edc46639235843be570334a27496137051f7fc9d923bf1d4fff0cabf8f2b"},"schema_version":"1.0"},"canonical_sha256":"4a231199db2d9851593231ab439e324f4066254114f994f34c86e9baf151630c","source":{"kind":"arxiv","id":"1604.07658","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07658","created_at":"2026-05-18T01:16:12Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07658v1","created_at":"2026-05-18T01:16:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07658","created_at":"2026-05-18T01:16:12Z"},{"alias_kind":"pith_short_12","alias_value":"JIRRDGO3FWMF","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JIRRDGO3FWMFCWJS","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JIRRDGO3","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:JIRRDGO3FWMFCWJSGGVUHHRSJ5","target":"record","payload":{"canonical_record":{"source":{"id":"1604.07658","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-04-26T12:49:02Z","cross_cats_sorted":[],"title_canon_sha256":"0e5fadaac8c3f8d7a497a502958f87ad908237015246ea9b76b5576e42b4f326","abstract_canon_sha256":"30c1edc46639235843be570334a27496137051f7fc9d923bf1d4fff0cabf8f2b"},"schema_version":"1.0"},"canonical_sha256":"4a231199db2d9851593231ab439e324f4066254114f994f34c86e9baf151630c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:12.392963Z","signature_b64":"N8dXgfs5mud7S02uA8/DS+PhaATQ5mTv7SsdNNvYcwJeO1LXKajgQSkabYK9yMOWcxjOYjcYLyRxIt5lwBP/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a231199db2d9851593231ab439e324f4066254114f994f34c86e9baf151630c","last_reissued_at":"2026-05-18T01:16:12.392277Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:12.392277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.07658","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":"2026-05-18T01:16:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZChOd2iLkPRfl31ckRHnhhfXuLpQTi8G1QCppDiSP1o9kq9hmUOPejhon+bTsXq99EJRHGotKf7skwoy01FMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T22:34:09.920042Z"},"content_sha256":"b1004483fb385e48f9b2f7853056da2cf4fd046ebaa4995aeedee5fe4d372a8a","schema_version":"1.0","event_id":"sha256:b1004483fb385e48f9b2f7853056da2cf4fd046ebaa4995aeedee5fe4d372a8a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:JIRRDGO3FWMFCWJSGGVUHHRSJ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variational discretization of parabolic control problems on evolving surfaces with pointwise state constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Heiko Kr\\\"oner, Michael Hinze","submitted_at":"2016-04-26T12:49:02Z","abstract_excerpt":"We consider a linear-quadratic pde constrained optimal control problem on an evolving surface with pointwise state constraints. We reformulate the optimization problem on a fixed surface and approximate the reformulated problem by a discrete control problem based on a discretization of the state equation by linear finite elements in space and a discontinuous Galerkin scheme in time. We prove error bounds for control and state."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07658","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":"2026-05-18T01:16:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kg2thNJev15eTCPEsOcctncumNa4OYZQjUo1bdLgaJwZ6lRMdMp+iFU54m23nzj7YNLpSRFi/x0oYwk7b//eDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T22:34:09.920388Z"},"content_sha256":"f6e1ab2a0bb038ee30146fb268bd77262e6dd3eede85a54be5eeff181cf28cf1","schema_version":"1.0","event_id":"sha256:f6e1ab2a0bb038ee30146fb268bd77262e6dd3eede85a54be5eeff181cf28cf1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JIRRDGO3FWMFCWJSGGVUHHRSJ5/bundle.json","state_url":"https://pith.science/pith/JIRRDGO3FWMFCWJSGGVUHHRSJ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JIRRDGO3FWMFCWJSGGVUHHRSJ5/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":"2026-06-08T22:34:09Z","links":{"resolver":"https://pith.science/pith/JIRRDGO3FWMFCWJSGGVUHHRSJ5","bundle":"https://pith.science/pith/JIRRDGO3FWMFCWJSGGVUHHRSJ5/bundle.json","state":"https://pith.science/pith/JIRRDGO3FWMFCWJSGGVUHHRSJ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JIRRDGO3FWMFCWJSGGVUHHRSJ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JIRRDGO3FWMFCWJSGGVUHHRSJ5","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":"30c1edc46639235843be570334a27496137051f7fc9d923bf1d4fff0cabf8f2b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-04-26T12:49:02Z","title_canon_sha256":"0e5fadaac8c3f8d7a497a502958f87ad908237015246ea9b76b5576e42b4f326"},"schema_version":"1.0","source":{"id":"1604.07658","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07658","created_at":"2026-05-18T01:16:12Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07658v1","created_at":"2026-05-18T01:16:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07658","created_at":"2026-05-18T01:16:12Z"},{"alias_kind":"pith_short_12","alias_value":"JIRRDGO3FWMF","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JIRRDGO3FWMFCWJS","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JIRRDGO3","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:f6e1ab2a0bb038ee30146fb268bd77262e6dd3eede85a54be5eeff181cf28cf1","target":"graph","created_at":"2026-05-18T01:16:12Z","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 consider a linear-quadratic pde constrained optimal control problem on an evolving surface with pointwise state constraints. We reformulate the optimization problem on a fixed surface and approximate the reformulated problem by a discrete control problem based on a discretization of the state equation by linear finite elements in space and a discontinuous Galerkin scheme in time. We prove error bounds for control and state.","authors_text":"Heiko Kr\\\"oner, Michael Hinze","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-04-26T12:49:02Z","title":"Variational discretization of parabolic control problems on evolving surfaces with pointwise state constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07658","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:b1004483fb385e48f9b2f7853056da2cf4fd046ebaa4995aeedee5fe4d372a8a","target":"record","created_at":"2026-05-18T01:16:12Z","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":"30c1edc46639235843be570334a27496137051f7fc9d923bf1d4fff0cabf8f2b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-04-26T12:49:02Z","title_canon_sha256":"0e5fadaac8c3f8d7a497a502958f87ad908237015246ea9b76b5576e42b4f326"},"schema_version":"1.0","source":{"id":"1604.07658","kind":"arxiv","version":1}},"canonical_sha256":"4a231199db2d9851593231ab439e324f4066254114f994f34c86e9baf151630c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a231199db2d9851593231ab439e324f4066254114f994f34c86e9baf151630c","first_computed_at":"2026-05-18T01:16:12.392277Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:12.392277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N8dXgfs5mud7S02uA8/DS+PhaATQ5mTv7SsdNNvYcwJeO1LXKajgQSkabYK9yMOWcxjOYjcYLyRxIt5lwBP/Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:12.392963Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.07658","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1004483fb385e48f9b2f7853056da2cf4fd046ebaa4995aeedee5fe4d372a8a","sha256:f6e1ab2a0bb038ee30146fb268bd77262e6dd3eede85a54be5eeff181cf28cf1"],"state_sha256":"be1325ca0e2bb82d18898fae1fc140f42cbe8c42c954b8333d774cb0282ec02b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ojSibUxSdwZxWC6hWtQJ/iY8cixDMIIVV4HcSFz2hC92qLmJ+46VhQc3Qm/HXDt1qVd6nhTpVouSE2zZRZb4Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T22:34:09.922118Z","bundle_sha256":"e84d834ecc867d253bb2c78a5b0ea6a808d356764778b0bf88664820e68c0497"}}