{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:3AK5PRLESPDKZIOCQNZX3MTFJ5","short_pith_number":"pith:3AK5PRLE","schema_version":"1.0","canonical_sha256":"d815d7c56493c6aca1c283737db2654f4537e61d528e5d193f5c6ff396cf2708","source":{"kind":"arxiv","id":"1510.08938","version":2},"attestation_state":"computed","paper":{"title":"A three-scale model of spatio-temporal bursting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","nlin.PS"],"primary_cat":"math.DS","authors_text":"Alessio Franci, Rodolphe Sepulchre","submitted_at":"2015-10-29T23:36:50Z","abstract_excerpt":"We study spatio-temporal bursting in a three-scale reaction diffusion equation organized by the winged cusp singularity. For large time-scale separation the model exhibits traveling bursts, whereas for large space-scale separation the model exhibits standing bursts. Both behaviors exhibit a common singular skeleton, whose geometry is fully determined by persistent bifurcation diagrams of the winged cusp. The modulation of spatio-temporal bursting in such a model naturally translates into paths in the universal unfolding of the winged-cusp."},"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":"1510.08938","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-10-29T23:36:50Z","cross_cats_sorted":["math.AP","nlin.PS"],"title_canon_sha256":"9efa3c106378a83784246c31aa81c1283b01695fbd4c8fa8b482ca178014713a","abstract_canon_sha256":"ed9a0208ab1c47ed274607b7132e1471d189c7c7630653e3bd724cec07f7be61"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:18.032002Z","signature_b64":"fcFn6tNPHNI0zy5c9cXypWm+qJaSHREcQder6x7VCRoGE2zT1GFxMUYsILLrbqk3AxwzW0dS1sz04ExF9AZRBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d815d7c56493c6aca1c283737db2654f4537e61d528e5d193f5c6ff396cf2708","last_reissued_at":"2026-05-18T01:11:18.031438Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:18.031438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A three-scale model of spatio-temporal bursting","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","nlin.PS"],"primary_cat":"math.DS","authors_text":"Alessio Franci, Rodolphe Sepulchre","submitted_at":"2015-10-29T23:36:50Z","abstract_excerpt":"We study spatio-temporal bursting in a three-scale reaction diffusion equation organized by the winged cusp singularity. For large time-scale separation the model exhibits traveling bursts, whereas for large space-scale separation the model exhibits standing bursts. Both behaviors exhibit a common singular skeleton, whose geometry is fully determined by persistent bifurcation diagrams of the winged cusp. The modulation of spatio-temporal bursting in such a model naturally translates into paths in the universal unfolding of the winged-cusp."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.08938","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":""},"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":"1510.08938","created_at":"2026-05-18T01:11:18.031538+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.08938v2","created_at":"2026-05-18T01:11:18.031538+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.08938","created_at":"2026-05-18T01:11:18.031538+00:00"},{"alias_kind":"pith_short_12","alias_value":"3AK5PRLESPDK","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"3AK5PRLESPDKZIOC","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"3AK5PRLE","created_at":"2026-05-18T12:29:02.477457+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/3AK5PRLESPDKZIOCQNZX3MTFJ5","json":"https://pith.science/pith/3AK5PRLESPDKZIOCQNZX3MTFJ5.json","graph_json":"https://pith.science/api/pith-number/3AK5PRLESPDKZIOCQNZX3MTFJ5/graph.json","events_json":"https://pith.science/api/pith-number/3AK5PRLESPDKZIOCQNZX3MTFJ5/events.json","paper":"https://pith.science/paper/3AK5PRLE"},"agent_actions":{"view_html":"https://pith.science/pith/3AK5PRLESPDKZIOCQNZX3MTFJ5","download_json":"https://pith.science/pith/3AK5PRLESPDKZIOCQNZX3MTFJ5.json","view_paper":"https://pith.science/paper/3AK5PRLE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.08938&json=true","fetch_graph":"https://pith.science/api/pith-number/3AK5PRLESPDKZIOCQNZX3MTFJ5/graph.json","fetch_events":"https://pith.science/api/pith-number/3AK5PRLESPDKZIOCQNZX3MTFJ5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3AK5PRLESPDKZIOCQNZX3MTFJ5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3AK5PRLESPDKZIOCQNZX3MTFJ5/action/storage_attestation","attest_author":"https://pith.science/pith/3AK5PRLESPDKZIOCQNZX3MTFJ5/action/author_attestation","sign_citation":"https://pith.science/pith/3AK5PRLESPDKZIOCQNZX3MTFJ5/action/citation_signature","submit_replication":"https://pith.science/pith/3AK5PRLESPDKZIOCQNZX3MTFJ5/action/replication_record"}},"created_at":"2026-05-18T01:11:18.031538+00:00","updated_at":"2026-05-18T01:11:18.031538+00:00"}