{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2X54Z64OENWRG6CLQNENRXPVPE","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":"4b135c14e2bc378dc4246c2f33d4ef96b89c38d86faab8ff3df068cdc512ffc6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-21T10:24:11Z","title_canon_sha256":"c4d032c41b5ffb0495010f0690d2d4f72f244683860329d25a524d54af8aeb29"},"schema_version":"1.0","source":{"id":"1510.06195","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.06195","created_at":"2026-05-18T00:36:41Z"},{"alias_kind":"arxiv_version","alias_value":"1510.06195v2","created_at":"2026-05-18T00:36:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06195","created_at":"2026-05-18T00:36:41Z"},{"alias_kind":"pith_short_12","alias_value":"2X54Z64OENWR","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2X54Z64OENWRG6CL","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2X54Z64O","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:65cf69ff9db24c2987b431728ae51104304ff9da821b70aa185480d2a692d693","target":"graph","created_at":"2026-05-18T00:36:41Z","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 mathematical model for heterogeneous catalysis in a finite three-dimensional pore of cylinder-like geometry, with the lateral walls acting as a catalytic surface. The system under consideration consists of a diffusion-advection system inside the bulk phase and a reaction-diffusion-sorption system modeling the processes on the catalytic wall and the exchange between bulk and surface. We assume Fickian diffusion with constant coefficients, sorption kinetics with linear growth bound and a network of chemical reactions which possesses a certain triangular structure. Our main result g","authors_text":"Dieter Bothe, J\\\"urgen Saal, Matthias K\\\"ohne, Siegfried Maier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-21T10:24:11Z","title":"Global Strong Solutions for a Class of Heterogeneous Catalysis Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06195","kind":"arxiv","version":2},"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":"sha256:28cd136424d49648708ef593dcf204b6429b0a6291bba470866fc35dc962f372","target":"record","created_at":"2026-05-18T00:36:41Z","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":"4b135c14e2bc378dc4246c2f33d4ef96b89c38d86faab8ff3df068cdc512ffc6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-21T10:24:11Z","title_canon_sha256":"c4d032c41b5ffb0495010f0690d2d4f72f244683860329d25a524d54af8aeb29"},"schema_version":"1.0","source":{"id":"1510.06195","kind":"arxiv","version":2}},"canonical_sha256":"d5fbccfb8e236d13784b8348d8ddf57927c4e68f897f8f47f05aa94a209a727e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5fbccfb8e236d13784b8348d8ddf57927c4e68f897f8f47f05aa94a209a727e","first_computed_at":"2026-05-18T00:36:41.599581Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:41.599581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JPN2dk/AXCWah/j1UDfBbgVEitfbZ9q6ma0hn7WoLl4JfsyHP3MmPuZWkG6gsj0r5026fiH2JTEVfw1YNc01DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:41.600137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.06195","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28cd136424d49648708ef593dcf204b6429b0a6291bba470866fc35dc962f372","sha256:65cf69ff9db24c2987b431728ae51104304ff9da821b70aa185480d2a692d693"],"state_sha256":"72ade4aa72856105d0ef7374b3f515f02e8c39689c76a8895e4727be6594f5fa"}