{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SILHLIZXEINOWCAHWP5XPKPSI3","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":"a67e16c87dbb68b04237a5bd41b61b3e1bbdb64eb02c287befaba2db3e174810","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-31T19:00:05Z","title_canon_sha256":"098604a1ba04b62007a87ced6761cbd346a79fdad2f713e0e13269b8ed778132"},"schema_version":"1.0","source":{"id":"1901.00017","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.00017","created_at":"2026-05-17T23:57:07Z"},{"alias_kind":"arxiv_version","alias_value":"1901.00017v1","created_at":"2026-05-17T23:57:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.00017","created_at":"2026-05-17T23:57:07Z"},{"alias_kind":"pith_short_12","alias_value":"SILHLIZXEINO","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SILHLIZXEINOWCAH","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SILHLIZX","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:48f3992fc612ef0fc3eb4f8697b3ea65416bc0a24cd007e7de975e122e5fefed","target":"graph","created_at":"2026-05-17T23:57:07Z","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 study the heat equation on a half-space or on an exterior domain with a linear dynamical boundary condition. Our main aim is to establish the rate of convergence to solutions of the Laplace equation with the same dynamical boundary condition as the diffusion coefficient tends to infinity.","authors_text":"Johannes Lankeit, Kazuhiro Ishige, Marek Fila, Tatsuki Kawakami","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-31T19:00:05Z","title":"Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.00017","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":"sha256:7793b12b6eaadca8f7fa738b63d02a8b196d1b72306ae0a236b015a4201e52ee","target":"record","created_at":"2026-05-17T23:57:07Z","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":"a67e16c87dbb68b04237a5bd41b61b3e1bbdb64eb02c287befaba2db3e174810","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-31T19:00:05Z","title_canon_sha256":"098604a1ba04b62007a87ced6761cbd346a79fdad2f713e0e13269b8ed778132"},"schema_version":"1.0","source":{"id":"1901.00017","kind":"arxiv","version":1}},"canonical_sha256":"921675a337221aeb0807b3fb77a9f246ebce88532fd3efc719f9445899c4d6ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"921675a337221aeb0807b3fb77a9f246ebce88532fd3efc719f9445899c4d6ea","first_computed_at":"2026-05-17T23:57:07.085696Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:07.085696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cCEwF9Gx05PEVN9sJxSL7TYdIUB7Imn38Gn+UQbo5qcjZPS5NA2Bwjpzeb5g8aMva76r/EPGDomOCYdDvvy3Ag==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:07.086121Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.00017","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7793b12b6eaadca8f7fa738b63d02a8b196d1b72306ae0a236b015a4201e52ee","sha256:48f3992fc612ef0fc3eb4f8697b3ea65416bc0a24cd007e7de975e122e5fefed"],"state_sha256":"57fb93f3df85d4c29b4134b09b70cab3deb862d89e296a1bd39d79a36fc1efdd"}