{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:B7GBXPW7EC24WWJLPDGS6JJE4F","short_pith_number":"pith:B7GBXPW7","schema_version":"1.0","canonical_sha256":"0fcc1bbedf20b5cb592b78cd2f2524e15e226a65c12b415d8a8e9c26921c3b69","source":{"kind":"arxiv","id":"1309.6961","version":2},"attestation_state":"computed","paper":{"title":"Asymptotic analysis and sign changing bubble towers for Lane-Emden problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Filomena Pacella, Francesca De Marchis, Isabella Ianni","submitted_at":"2013-09-26T16:31:10Z","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."},"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":"1309.6961","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-09-26T16:31:10Z","cross_cats_sorted":[],"title_canon_sha256":"3b9e37fe8272ad54c07a860a1c46a85cc43fd4a756aaf8eb823e47dbd058c4e1","abstract_canon_sha256":"b83348695a84b37d28fd2cd0466f742fbc3f007ffcf0af7981eb8706b358abaa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:49.051849Z","signature_b64":"gkEAghexqTd8LTOBvNDmMOb0XvNd4g9xQ2cymBCIlI/eZDXPCpbXAcGnZRmFN4OX6blKla5McEgcrJxkWv9+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fcc1bbedf20b5cb592b78cd2f2524e15e226a65c12b415d8a8e9c26921c3b69","last_reissued_at":"2026-05-18T01:22:49.051178Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:49.051178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic analysis and sign changing bubble towers for Lane-Emden problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Filomena Pacella, Francesca De Marchis, Isabella Ianni","submitted_at":"2013-09-26T16:31:10Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6961","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":"1309.6961","created_at":"2026-05-18T01:22:49.051292+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.6961v2","created_at":"2026-05-18T01:22:49.051292+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6961","created_at":"2026-05-18T01:22:49.051292+00:00"},{"alias_kind":"pith_short_12","alias_value":"B7GBXPW7EC24","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"B7GBXPW7EC24WWJL","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"B7GBXPW7","created_at":"2026-05-18T12:27:38.830355+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/B7GBXPW7EC24WWJLPDGS6JJE4F","json":"https://pith.science/pith/B7GBXPW7EC24WWJLPDGS6JJE4F.json","graph_json":"https://pith.science/api/pith-number/B7GBXPW7EC24WWJLPDGS6JJE4F/graph.json","events_json":"https://pith.science/api/pith-number/B7GBXPW7EC24WWJLPDGS6JJE4F/events.json","paper":"https://pith.science/paper/B7GBXPW7"},"agent_actions":{"view_html":"https://pith.science/pith/B7GBXPW7EC24WWJLPDGS6JJE4F","download_json":"https://pith.science/pith/B7GBXPW7EC24WWJLPDGS6JJE4F.json","view_paper":"https://pith.science/paper/B7GBXPW7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.6961&json=true","fetch_graph":"https://pith.science/api/pith-number/B7GBXPW7EC24WWJLPDGS6JJE4F/graph.json","fetch_events":"https://pith.science/api/pith-number/B7GBXPW7EC24WWJLPDGS6JJE4F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B7GBXPW7EC24WWJLPDGS6JJE4F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B7GBXPW7EC24WWJLPDGS6JJE4F/action/storage_attestation","attest_author":"https://pith.science/pith/B7GBXPW7EC24WWJLPDGS6JJE4F/action/author_attestation","sign_citation":"https://pith.science/pith/B7GBXPW7EC24WWJLPDGS6JJE4F/action/citation_signature","submit_replication":"https://pith.science/pith/B7GBXPW7EC24WWJLPDGS6JJE4F/action/replication_record"}},"created_at":"2026-05-18T01:22:49.051292+00:00","updated_at":"2026-05-18T01:22:49.051292+00:00"}