{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:3DGOPVLNRBIETYDWYAXWJNCFQ6","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":"0ce9c830c61860df425d44dd2b40a2252988ce494068f8dad02cc1ea1c1b1023","cross_cats_sorted":["cs.NA","math-ph","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-10-08T15:49:30Z","title_canon_sha256":"b79c454527dd5915e64db40c0df2d43452b55c37ee5ef860567097869e019d62"},"schema_version":"1.0","source":{"id":"2510.07149","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.07149","created_at":"2026-06-25T01:17:46Z"},{"alias_kind":"arxiv_version","alias_value":"2510.07149v2","created_at":"2026-06-25T01:17:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.07149","created_at":"2026-06-25T01:17:46Z"},{"alias_kind":"pith_short_12","alias_value":"3DGOPVLNRBIE","created_at":"2026-06-25T01:17:46Z"},{"alias_kind":"pith_short_16","alias_value":"3DGOPVLNRBIETYDW","created_at":"2026-06-25T01:17:46Z"},{"alias_kind":"pith_short_8","alias_value":"3DGOPVLN","created_at":"2026-06-25T01:17:46Z"}],"graph_snapshots":[{"event_id":"sha256:d75ca3bf63bd4f311e6b52601f2242920f1b0fd3974cc3316ee2e76d88d3127a","target":"graph","created_at":"2026-06-25T01:17:46Z","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/2510.07149/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a derivation of the one-dimensional fourth-order DLSS equation based on an interpretation as a chemical reaction network. We consider the rate equation on the discretized circle for a process in which pairs of particles occupying the same site simultaneously jump to the two neighboring sites; the reverse process involves pairs of particles at adjacent sites simultaneously jumping back to the site located between them. Depending on the rates, in the vanishing-mesh-size limit we obtain either the classical DLSS equation or a variant with nonlinear mobility of power type. Via EDP conve","authors_text":"Alexander Mielke, Andr\\'e Schlichting, Artur Stephan","cross_cats":["cs.NA","math-ph","math.MP","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-10-08T15:49:30Z","title":"Derivation of the fourth-order DLSS equation with nonlinear mobility via chemical reactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.07149","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":"sha256:4a0b0f80025d9ea21345b91c52888c45d4190bdc6c9e4d636d5707bdf114fdb2","target":"record","created_at":"2026-06-25T01:17:46Z","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":"0ce9c830c61860df425d44dd2b40a2252988ce494068f8dad02cc1ea1c1b1023","cross_cats_sorted":["cs.NA","math-ph","math.MP","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-10-08T15:49:30Z","title_canon_sha256":"b79c454527dd5915e64db40c0df2d43452b55c37ee5ef860567097869e019d62"},"schema_version":"1.0","source":{"id":"2510.07149","kind":"arxiv","version":2}},"canonical_sha256":"d8cce7d56d885049e076c02f64b44587af66852e0bdac91662baf365ef40f04e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8cce7d56d885049e076c02f64b44587af66852e0bdac91662baf365ef40f04e","first_computed_at":"2026-06-25T01:17:46.760734Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-25T01:17:46.760734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hXTEFsZRqNHs3H3hP4ReTb/t3WZiMonlgfA8bi9K/CoTNVuBYvMKxupnmq/o+Ry7qW2kPY09qqLUkd7IA93gCg==","signature_status":"signed_v1","signed_at":"2026-06-25T01:17:46.761170Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.07149","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a0b0f80025d9ea21345b91c52888c45d4190bdc6c9e4d636d5707bdf114fdb2","sha256:d75ca3bf63bd4f311e6b52601f2242920f1b0fd3974cc3316ee2e76d88d3127a"],"state_sha256":"b749a99e41fd73aa8ea9c6fab040d1c666b55fd1da60e8c89f75bb1e82b3da43"}