{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JZJ3OBUCJNLXMNATG74OOTWY2R","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":"5b95861915a5a998a684f3617f543ad0c456c80ad6cbf9ea6ca2c8b0c74cd324","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-22T14:55:37Z","title_canon_sha256":"208ee0f9c806500265081cc04b7ad1af99edf7d769f018b5c7c7bab33b44cf61"},"schema_version":"1.0","source":{"id":"2605.23709","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23709","created_at":"2026-05-25T02:02:27Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23709v1","created_at":"2026-05-25T02:02:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23709","created_at":"2026-05-25T02:02:27Z"},{"alias_kind":"pith_short_12","alias_value":"JZJ3OBUCJNLX","created_at":"2026-05-25T02:02:27Z"},{"alias_kind":"pith_short_16","alias_value":"JZJ3OBUCJNLXMNAT","created_at":"2026-05-25T02:02:27Z"},{"alias_kind":"pith_short_8","alias_value":"JZJ3OBUC","created_at":"2026-05-25T02:02:27Z"}],"graph_snapshots":[{"event_id":"sha256:07630b42e784ae13e8e9e89d6b3218bf22a3caed9ecd0e87cfc92ccc6b5ab9e2","target":"graph","created_at":"2026-05-25T02:02:27Z","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/2605.23709/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present in this work a very short proof for the existence, uniqueness and smoothness in dimensions $d\\leq 3$ of the system of reaction diffusion $ \\partial\\_t a\\_i - d\\_i \\Delta a\\_i = (-1)^i (a\\_1 a\\_3 - a\\_2 a\\_4)$, where $a\\_i \\geq 0$ model the concentrations of chemical species undergoing a chemical reaction and diffusing (each with its diffusion rate $d\\_i > 0$) in a bounded container.","authors_text":"Hector Bouton (IMJ-PRG (UMR\\_7586)), Helge Dietert (IMJ-PRG (UMR\\_7586)), Laurent Desvillettes (IMJ-PRG (UMR\\_7586))","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-22T14:55:37Z","title":"Simple proofs for the existence of smooth solutions to a reaction-diffusion system modeling reversible chemistry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23709","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":"sha256:987840e4e40a260a7974e56ea20bf0c8c6ab9db39875e08f44c0aa30480740e4","target":"record","created_at":"2026-05-25T02:02:27Z","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":"5b95861915a5a998a684f3617f543ad0c456c80ad6cbf9ea6ca2c8b0c74cd324","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-22T14:55:37Z","title_canon_sha256":"208ee0f9c806500265081cc04b7ad1af99edf7d769f018b5c7c7bab33b44cf61"},"schema_version":"1.0","source":{"id":"2605.23709","kind":"arxiv","version":1}},"canonical_sha256":"4e53b706824b5776341337f8e74ed8d45813c5923280929e29ed7ed13718af05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e53b706824b5776341337f8e74ed8d45813c5923280929e29ed7ed13718af05","first_computed_at":"2026-05-25T02:02:27.439460Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:02:27.439460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2asd79mp3W0h+VULNVNvkcYsUKcMO9xhYumHVxrnjlRhvm0fiKhBadAZXTvMcCk8WY05/VWEhXCSZaMe9jBNBA==","signature_status":"signed_v1","signed_at":"2026-05-25T02:02:27.440017Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.23709","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:987840e4e40a260a7974e56ea20bf0c8c6ab9db39875e08f44c0aa30480740e4","sha256:07630b42e784ae13e8e9e89d6b3218bf22a3caed9ecd0e87cfc92ccc6b5ab9e2"],"state_sha256":"87aafacf52ae6e74ffc7706b8cb9add62f64906ee3d2b60cb0094b961d476a2c"}