{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KUCEKQVPM7U7EGFHYXZ6ISXBER","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":"03570ac194d37476d9e87cccf41e6f7df45e77bddb355e18eea66c0945e6756b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-11-26T12:59:17Z","title_canon_sha256":"6187a1a7eb67bb1baf48bc052d2189a9d38ce7511b5f556233c23495c78f7199"},"schema_version":"1.0","source":{"id":"2411.17399","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.17399","created_at":"2026-07-05T09:40:46Z"},{"alias_kind":"arxiv_version","alias_value":"2411.17399v1","created_at":"2026-07-05T09:40:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.17399","created_at":"2026-07-05T09:40:46Z"},{"alias_kind":"pith_short_12","alias_value":"KUCEKQVPM7U7","created_at":"2026-07-05T09:40:46Z"},{"alias_kind":"pith_short_16","alias_value":"KUCEKQVPM7U7EGFH","created_at":"2026-07-05T09:40:46Z"},{"alias_kind":"pith_short_8","alias_value":"KUCEKQVP","created_at":"2026-07-05T09:40:46Z"}],"graph_snapshots":[{"event_id":"sha256:38ff339865d603e6cf5d7b8df494d91f56db94bbdd9cb6c2b52c8e5123cce639","target":"graph","created_at":"2026-07-05T09:40:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2411.17399/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A transient Poisson-Nernst-Planck system with steric effects is analyzed in a bounded domain with no-flux boundary conditions for the ion concentrations and mixed Dirichlet-Neumann boundary conditions for the electric potential. The steric repulsion of ions is modeled by a localized Lennard-Jones force, leading to cross-diffusion terms. The existence of global weak solutions, a weak--strong uniqueness property, and, in case of pure Neumann conditions, the exponential decay towards the thermal equilibrium state is proved. The main difficulties are the cross-diffusion terms and the different bou","authors_text":"Ansgar J\\\"ungel, Peter Hirvonen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-11-26T12:59:17Z","title":"Analysis of a Poisson-Nernst-Planck cross-diffusion system with steric effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.17399","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:f85dd12a3db139bc2f23c440d827a086af251e03851c18b721dc3ab0224be676","target":"record","created_at":"2026-07-05T09:40:46Z","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":"03570ac194d37476d9e87cccf41e6f7df45e77bddb355e18eea66c0945e6756b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-11-26T12:59:17Z","title_canon_sha256":"6187a1a7eb67bb1baf48bc052d2189a9d38ce7511b5f556233c23495c78f7199"},"schema_version":"1.0","source":{"id":"2411.17399","kind":"arxiv","version":1}},"canonical_sha256":"55044542af67e9f218a7c5f3e44ae12452ec7630fc47ae811da41bb238b8ed15","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55044542af67e9f218a7c5f3e44ae12452ec7630fc47ae811da41bb238b8ed15","first_computed_at":"2026-07-05T09:40:46.647804Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:40:46.647804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kcFV86mXW08nny6t9Y7ZlMV0VzD9oZYX8+wxv2cFMyXQOVDNYG/DjO1AnAWHvhPmXsK3/Db5LHpA36auBeOFBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:40:46.648532Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.17399","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f85dd12a3db139bc2f23c440d827a086af251e03851c18b721dc3ab0224be676","sha256:38ff339865d603e6cf5d7b8df494d91f56db94bbdd9cb6c2b52c8e5123cce639"],"state_sha256":"19d8151623b05b17b03d378d761c5c758283a835e3bb3d911dab6c7e73b1c358"}