{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:GY53U4V47GNZCOML5EXPVF7WG7","short_pith_number":"pith:GY53U4V4","schema_version":"1.0","canonical_sha256":"363bba72bcf99b91398be92efa97f637cc4576e16dd1b7213104fe938521337f","source":{"kind":"arxiv","id":"2403.12444","version":2},"attestation_state":"computed","paper":{"title":"Weakly nonlinear analysis of Turing pattern dynamics on curved surfaces","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["nlin.CD","physics.bio-ph"],"primary_cat":"nlin.PS","authors_text":"Ryosuke Nishide, Shuji Ishihara","submitted_at":"2024-03-19T05:07:54Z","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"},"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":"2403.12444","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.PS","submitted_at":"2024-03-19T05:07:54Z","cross_cats_sorted":["nlin.CD","physics.bio-ph"],"title_canon_sha256":"d65a351337e20bef47a2573db30705f7f7b238def0cf7de9c86c6173dc314f31","abstract_canon_sha256":"e93b7799877352517b9964a16d80881e892b15d34f7d10236a3073ee33ae3b0c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-02T01:03:28.448241Z","signature_b64":"hWQ9qDzvQXtrvjKtcvEGYlOZ9fgnBMcFA96MnUuOn9bFMorwTvenH71jXSXh70qFMkgV4V4bFUVIVLkObEI4Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"363bba72bcf99b91398be92efa97f637cc4576e16dd1b7213104fe938521337f","last_reissued_at":"2026-06-02T01:03:28.447741Z","signature_status":"signed_v1","first_computed_at":"2026-06-02T01:03:28.447741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Weakly nonlinear analysis of Turing pattern dynamics on curved surfaces","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["nlin.CD","physics.bio-ph"],"primary_cat":"nlin.PS","authors_text":"Ryosuke Nishide, Shuji Ishihara","submitted_at":"2024-03-19T05:07:54Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.12444","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.12444/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2403.12444","created_at":"2026-06-02T01:03:28.447798+00:00"},{"alias_kind":"arxiv_version","alias_value":"2403.12444v2","created_at":"2026-06-02T01:03:28.447798+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.12444","created_at":"2026-06-02T01:03:28.447798+00:00"},{"alias_kind":"pith_short_12","alias_value":"GY53U4V47GNZ","created_at":"2026-06-02T01:03:28.447798+00:00"},{"alias_kind":"pith_short_16","alias_value":"GY53U4V47GNZCOML","created_at":"2026-06-02T01:03:28.447798+00:00"},{"alias_kind":"pith_short_8","alias_value":"GY53U4V4","created_at":"2026-06-02T01:03:28.447798+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/GY53U4V47GNZCOML5EXPVF7WG7","json":"https://pith.science/pith/GY53U4V47GNZCOML5EXPVF7WG7.json","graph_json":"https://pith.science/api/pith-number/GY53U4V47GNZCOML5EXPVF7WG7/graph.json","events_json":"https://pith.science/api/pith-number/GY53U4V47GNZCOML5EXPVF7WG7/events.json","paper":"https://pith.science/paper/GY53U4V4"},"agent_actions":{"view_html":"https://pith.science/pith/GY53U4V47GNZCOML5EXPVF7WG7","download_json":"https://pith.science/pith/GY53U4V47GNZCOML5EXPVF7WG7.json","view_paper":"https://pith.science/paper/GY53U4V4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2403.12444&json=true","fetch_graph":"https://pith.science/api/pith-number/GY53U4V47GNZCOML5EXPVF7WG7/graph.json","fetch_events":"https://pith.science/api/pith-number/GY53U4V47GNZCOML5EXPVF7WG7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GY53U4V47GNZCOML5EXPVF7WG7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GY53U4V47GNZCOML5EXPVF7WG7/action/storage_attestation","attest_author":"https://pith.science/pith/GY53U4V47GNZCOML5EXPVF7WG7/action/author_attestation","sign_citation":"https://pith.science/pith/GY53U4V47GNZCOML5EXPVF7WG7/action/citation_signature","submit_replication":"https://pith.science/pith/GY53U4V47GNZCOML5EXPVF7WG7/action/replication_record"}},"created_at":"2026-06-02T01:03:28.447798+00:00","updated_at":"2026-06-02T01:03:28.447798+00:00"}