{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:GY53U4V47GNZCOML5EXPVF7WG7","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":"e93b7799877352517b9964a16d80881e892b15d34f7d10236a3073ee33ae3b0c","cross_cats_sorted":["nlin.CD","physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2024-03-19T05:07:54Z","title_canon_sha256":"d65a351337e20bef47a2573db30705f7f7b238def0cf7de9c86c6173dc314f31"},"schema_version":"1.0","source":{"id":"2403.12444","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.12444","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"arxiv_version","alias_value":"2403.12444v2","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.12444","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"pith_short_12","alias_value":"GY53U4V47GNZ","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"pith_short_16","alias_value":"GY53U4V47GNZCOML","created_at":"2026-06-02T01:03:28Z"},{"alias_kind":"pith_short_8","alias_value":"GY53U4V4","created_at":"2026-06-02T01:03:28Z"}],"graph_snapshots":[{"event_id":"sha256:06704e54e3b40106fe7c5e853ed52320629c86047db549be0a6da35ef776fbd8","target":"graph","created_at":"2026-06-02T01:03:28Z","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/2403.12444/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Pattern dynamics on curved surfaces are ubiquitous. Although the effect of surface topography on pattern dynamics has gained much interest, there is a limited understanding of the roles of surface geometry and topology in pattern dynamics. Recently, we reported that a static pattern on a flat plane can become a propagating pattern on a curved surface [Nishide and Ishihara, Phys. Rev. Lett. 2022]. By examining reaction-diffusion equations on axisymmetric surfaces, certain conditions for the onset of pattern propagation were determined. However, this analysis was limited by the assumption that t","authors_text":"Ryosuke Nishide, Shuji Ishihara","cross_cats":["nlin.CD","physics.bio-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2024-03-19T05:07:54Z","title":"Weakly nonlinear analysis of Turing pattern dynamics on curved surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.12444","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":"sha256:48c656675eadfa263bf033ab960544d3c8450132ce4063190f58f654d4a26394","target":"record","created_at":"2026-06-02T01:03:28Z","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":"e93b7799877352517b9964a16d80881e892b15d34f7d10236a3073ee33ae3b0c","cross_cats_sorted":["nlin.CD","physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2024-03-19T05:07:54Z","title_canon_sha256":"d65a351337e20bef47a2573db30705f7f7b238def0cf7de9c86c6173dc314f31"},"schema_version":"1.0","source":{"id":"2403.12444","kind":"arxiv","version":2}},"canonical_sha256":"363bba72bcf99b91398be92efa97f637cc4576e16dd1b7213104fe938521337f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"363bba72bcf99b91398be92efa97f637cc4576e16dd1b7213104fe938521337f","first_computed_at":"2026-06-02T01:03:28.447741Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-02T01:03:28.447741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hWQ9qDzvQXtrvjKtcvEGYlOZ9fgnBMcFA96MnUuOn9bFMorwTvenH71jXSXh70qFMkgV4V4bFUVIVLkObEI4Dg==","signature_status":"signed_v1","signed_at":"2026-06-02T01:03:28.448241Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.12444","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:48c656675eadfa263bf033ab960544d3c8450132ce4063190f58f654d4a26394","sha256:06704e54e3b40106fe7c5e853ed52320629c86047db549be0a6da35ef776fbd8"],"state_sha256":"61c0608f6aadd8a7565ef18f0b3509877c980c485bcaf6708f6d27b96733e635"}