{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IGGKJEBI2V33PSALMRSYB5EAQC","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":"bf838357ccb1f2405f7824e1e74e8504e14304a8618a3c0d6fa88b59b5f25516","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-06-28T09:02:19Z","title_canon_sha256":"b845f81625137172aa828ecd6786b131aa49a3e1d9ba73ef9943db68a1936426"},"schema_version":"1.0","source":{"id":"1106.5597","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.5597","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"arxiv_version","alias_value":"1106.5597v1","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.5597","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"pith_short_12","alias_value":"IGGKJEBI2V33","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"IGGKJEBI2V33PSAL","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"IGGKJEBI","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:da08bbf820aaec8053afc0e649dba3bb93e84df3a3290a7085012b2fa4fb7e41","target":"graph","created_at":"2026-05-18T04:19:12Z","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"},"paper":{"abstract_excerpt":"In this paper, we construct radially symmetric solutions of a nonlinear noncooperative elliptic system derived from a model for flame balls with radiation losses. This model is based on a one step kinetic reaction and our system is obtained by approximating the standard Arrehnius law by an ignition nonlinearity, and by simplifying the term that models radiation. We prove the existence of 2 solutions using degree theory.","authors_text":"Jerome Coville (BIOSP), Juan Davila (DIM)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-06-28T09:02:19Z","title":"Existence of radial stationary solutions for a system in combustion theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.5597","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":"sha256:44fe303409561900d9da8b0d653a9d3d21000690e43b026f3be3073d20f3e87b","target":"record","created_at":"2026-05-18T04:19:12Z","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":"bf838357ccb1f2405f7824e1e74e8504e14304a8618a3c0d6fa88b59b5f25516","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-06-28T09:02:19Z","title_canon_sha256":"b845f81625137172aa828ecd6786b131aa49a3e1d9ba73ef9943db68a1936426"},"schema_version":"1.0","source":{"id":"1106.5597","kind":"arxiv","version":1}},"canonical_sha256":"418ca49028d577b7c80b646580f48080982a6d9e245f4ef554d4e69dda5f5882","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"418ca49028d577b7c80b646580f48080982a6d9e245f4ef554d4e69dda5f5882","first_computed_at":"2026-05-18T04:19:12.875414Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:12.875414Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fsSpW1R1tC8YVAHwqZowSr4Kwe1EcSHLL1byaOic4imWwn+UF4ZJjbckzFIMJSUBGZNRBVXNdrmZZZuOc/pLDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:12.875951Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.5597","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44fe303409561900d9da8b0d653a9d3d21000690e43b026f3be3073d20f3e87b","sha256:da08bbf820aaec8053afc0e649dba3bb93e84df3a3290a7085012b2fa4fb7e41"],"state_sha256":"11818aa3c80afd864d2ceff45fced3edc70efa7cf35c81530a2930bfbb319557"}