{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:2X54Z64OENWRG6CLQNENRXPVPE","short_pith_number":"pith:2X54Z64O","schema_version":"1.0","canonical_sha256":"d5fbccfb8e236d13784b8348d8ddf57927c4e68f897f8f47f05aa94a209a727e","source":{"kind":"arxiv","id":"1510.06195","version":2},"attestation_state":"computed","paper":{"title":"Global Strong Solutions for a Class of Heterogeneous Catalysis Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Dieter Bothe, J\\\"urgen Saal, Matthias K\\\"ohne, Siegfried Maier","submitted_at":"2015-10-21T10:24:11Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1510.06195","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-10-21T10:24:11Z","cross_cats_sorted":[],"title_canon_sha256":"c4d032c41b5ffb0495010f0690d2d4f72f244683860329d25a524d54af8aeb29","abstract_canon_sha256":"4b135c14e2bc378dc4246c2f33d4ef96b89c38d86faab8ff3df068cdc512ffc6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:41.600137Z","signature_b64":"JPN2dk/AXCWah/j1UDfBbgVEitfbZ9q6ma0hn7WoLl4JfsyHP3MmPuZWkG6gsj0r5026fiH2JTEVfw1YNc01DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5fbccfb8e236d13784b8348d8ddf57927c4e68f897f8f47f05aa94a209a727e","last_reissued_at":"2026-05-18T00:36:41.599581Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:41.599581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global Strong Solutions for a Class of Heterogeneous Catalysis Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Dieter Bothe, J\\\"urgen Saal, Matthias K\\\"ohne, Siegfried Maier","submitted_at":"2015-10-21T10:24:11Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06195","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1510.06195","created_at":"2026-05-18T00:36:41.599658+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.06195v2","created_at":"2026-05-18T00:36:41.599658+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.06195","created_at":"2026-05-18T00:36:41.599658+00:00"},{"alias_kind":"pith_short_12","alias_value":"2X54Z64OENWR","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"2X54Z64OENWRG6CL","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"2X54Z64O","created_at":"2026-05-18T12:29:02.477457+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2X54Z64OENWRG6CLQNENRXPVPE","json":"https://pith.science/pith/2X54Z64OENWRG6CLQNENRXPVPE.json","graph_json":"https://pith.science/api/pith-number/2X54Z64OENWRG6CLQNENRXPVPE/graph.json","events_json":"https://pith.science/api/pith-number/2X54Z64OENWRG6CLQNENRXPVPE/events.json","paper":"https://pith.science/paper/2X54Z64O"},"agent_actions":{"view_html":"https://pith.science/pith/2X54Z64OENWRG6CLQNENRXPVPE","download_json":"https://pith.science/pith/2X54Z64OENWRG6CLQNENRXPVPE.json","view_paper":"https://pith.science/paper/2X54Z64O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.06195&json=true","fetch_graph":"https://pith.science/api/pith-number/2X54Z64OENWRG6CLQNENRXPVPE/graph.json","fetch_events":"https://pith.science/api/pith-number/2X54Z64OENWRG6CLQNENRXPVPE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2X54Z64OENWRG6CLQNENRXPVPE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2X54Z64OENWRG6CLQNENRXPVPE/action/storage_attestation","attest_author":"https://pith.science/pith/2X54Z64OENWRG6CLQNENRXPVPE/action/author_attestation","sign_citation":"https://pith.science/pith/2X54Z64OENWRG6CLQNENRXPVPE/action/citation_signature","submit_replication":"https://pith.science/pith/2X54Z64OENWRG6CLQNENRXPVPE/action/replication_record"}},"created_at":"2026-05-18T00:36:41.599658+00:00","updated_at":"2026-05-18T00:36:41.599658+00:00"}