{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:B7GBXPW7EC24WWJLPDGS6JJE4F","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":"b83348695a84b37d28fd2cd0466f742fbc3f007ffcf0af7981eb8706b358abaa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-26T16:31:10Z","title_canon_sha256":"3b9e37fe8272ad54c07a860a1c46a85cc43fd4a756aaf8eb823e47dbd058c4e1"},"schema_version":"1.0","source":{"id":"1309.6961","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.6961","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"arxiv_version","alias_value":"1309.6961v2","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6961","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"pith_short_12","alias_value":"B7GBXPW7EC24","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"B7GBXPW7EC24WWJL","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"B7GBXPW7","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:fb0288eb686f06db3ef9cda516db6610974cc2052ab1ebc681369c67af41c642","target":"graph","created_at":"2026-05-18T01:22:49Z","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":"We consider the semilinear Lane-Emden problem in a smooth bounded domain of the plane. The aim of the paper is to analyze the asymptotic behavior of sign changing solutions as the exponent p of the nonlinearity goes to infinity. Among other results we show, under some symmetry assumptions on the domain, that the positive and negative parts of a family of symmetric solutions concentrate at the same point, as p goes to infinity, and the limit profile looks like a tower of two bubbles given by a superposition of a regular and a singular solution of the Liouville problem in the plane.","authors_text":"Filomena Pacella, Francesca De Marchis, Isabella Ianni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-26T16:31:10Z","title":"Asymptotic analysis and sign changing bubble towers for Lane-Emden problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6961","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":"sha256:47e598d7ceb607d79e24fb4f53fe4444c1f3828bfa8683814e61c7a6a8f84c3a","target":"record","created_at":"2026-05-18T01:22:49Z","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":"b83348695a84b37d28fd2cd0466f742fbc3f007ffcf0af7981eb8706b358abaa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-26T16:31:10Z","title_canon_sha256":"3b9e37fe8272ad54c07a860a1c46a85cc43fd4a756aaf8eb823e47dbd058c4e1"},"schema_version":"1.0","source":{"id":"1309.6961","kind":"arxiv","version":2}},"canonical_sha256":"0fcc1bbedf20b5cb592b78cd2f2524e15e226a65c12b415d8a8e9c26921c3b69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0fcc1bbedf20b5cb592b78cd2f2524e15e226a65c12b415d8a8e9c26921c3b69","first_computed_at":"2026-05-18T01:22:49.051178Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:49.051178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gkEAghexqTd8LTOBvNDmMOb0XvNd4g9xQ2cymBCIlI/eZDXPCpbXAcGnZRmFN4OX6blKla5McEgcrJxkWv9+DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:49.051849Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.6961","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47e598d7ceb607d79e24fb4f53fe4444c1f3828bfa8683814e61c7a6a8f84c3a","sha256:fb0288eb686f06db3ef9cda516db6610974cc2052ab1ebc681369c67af41c642"],"state_sha256":"200dab6c6ea5c08301a0b953e38b691f9199d863541550918fcb4bbd44cd3a9d"}