{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3RPT3N2HCWUSMT77FYCK6SEFES","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":"cb6efaf8b2cb2ed25ae5cfe6fe43d2874f020bbcb343b1bc95ee7bc67927d4c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-02-11T10:32:47Z","title_canon_sha256":"320a275b042985d245cde0b9ddfcfe3f14e28736ad5e6006198732d944e06c65"},"schema_version":"1.0","source":{"id":"1502.03250","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.03250","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"arxiv_version","alias_value":"1502.03250v1","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.03250","created_at":"2026-05-18T02:27:19Z"},{"alias_kind":"pith_short_12","alias_value":"3RPT3N2HCWUS","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3RPT3N2HCWUSMT77","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3RPT3N2H","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:aab89e6384100f754451c3c95d4a5e446af0f7693b3ee462f6de5600f0eda125","target":"graph","created_at":"2026-05-18T02:27:19Z","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 work is concerned with the development of a space-time adaptive numerical method, based on a rigorous a posteriori error bound, for a semilinear convection-diffusion problem which may exhibit blow-up in finite time. More specifically, a posteriori error bounds are derived in the $L^{\\infty}(L^2)+L^2(H^1)$-type norm for a first order in time implicit-explicit (IMEX) interior penalty discontinuous Galerkin (dG) in space discretization of the problem, although the theory presented is directly applicable to the case of conforming finite element approximations in space. The choice of the discr","authors_text":"Andrea Cangiani, Emmanuil H. Georgoulis, Irene Kyza, Stephen Metcalfe","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-02-11T10:32:47Z","title":"Adaptivity and blow-up detection for nonlinear evolution problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03250","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":"sha256:4cac664440780a5a21b45b384e0d6b91549b4d9a5b33d43cf01b797481debdbd","target":"record","created_at":"2026-05-18T02:27:19Z","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":"cb6efaf8b2cb2ed25ae5cfe6fe43d2874f020bbcb343b1bc95ee7bc67927d4c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-02-11T10:32:47Z","title_canon_sha256":"320a275b042985d245cde0b9ddfcfe3f14e28736ad5e6006198732d944e06c65"},"schema_version":"1.0","source":{"id":"1502.03250","kind":"arxiv","version":1}},"canonical_sha256":"dc5f3db74715a9264fff2e04af488524bd200036edda8487d6c32844322a1574","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc5f3db74715a9264fff2e04af488524bd200036edda8487d6c32844322a1574","first_computed_at":"2026-05-18T02:27:19.898741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:19.898741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V2WfFUza3FSFPMPyRYIgk/MUl1f4DWEFXmkFE1xmti8f+hKPQG+U5EuIphzpYkgyo+nNcagCXZhXfcfqek7wDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:19.899482Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.03250","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4cac664440780a5a21b45b384e0d6b91549b4d9a5b33d43cf01b797481debdbd","sha256:aab89e6384100f754451c3c95d4a5e446af0f7693b3ee462f6de5600f0eda125"],"state_sha256":"9da239ddf9ea56d164eb0649705b25eba5b4d0cc49352b1ed466d5acbc342490"}