{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:BU63NJG3WFH72R7BBXN2ZDVZAP","short_pith_number":"pith:BU63NJG3","schema_version":"1.0","canonical_sha256":"0d3db6a4dbb14ffd47e10ddbac8eb903f7f0ec6e8a52b2d037da3ebba6207a18","source":{"kind":"arxiv","id":"1407.5950","version":1},"attestation_state":"computed","paper":{"title":"Sign changing solutions for elliptic equations with critical growth in cylinder type domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Miguel Ramos, Pedro M. Gir\\~ao","submitted_at":"2014-07-22T17:26:04Z","abstract_excerpt":"We prove the existence of positive and of nodal solutions for $-\\Delta u = |u|^{p-2}u+\\mu |u|^{q-2}u$, $u\\in {\\rm H_0^1}(\\Omega)$, where $\\mu >0$ and $2<q<p=2N(N-2)$, for a class of open subsets $\\Omega$ of $\\mathbb{R}^N$ lying between two infinite cylinders."},"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":"1407.5950","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-22T17:26:04Z","cross_cats_sorted":[],"title_canon_sha256":"f08b45987db5e4701ea1706bdc5dfc043b6611579ca79b2ad874d695ebe076a4","abstract_canon_sha256":"d1c16531175c7e44ae5a3ad5d74c0a30b21446bd4100173b2e9d9881ff28d31b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:06.319379Z","signature_b64":"W5BRTIu3zzFbs38YJuaJzl8Juollh/AcqoDBKD3JzbeNIr+/zVlaCP32XX7cHSnOYqevgar4Bp+JPvsmeQaIBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d3db6a4dbb14ffd47e10ddbac8eb903f7f0ec6e8a52b2d037da3ebba6207a18","last_reissued_at":"2026-05-18T02:47:06.318741Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:06.318741Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sign changing solutions for elliptic equations with critical growth in cylinder type domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Miguel Ramos, Pedro M. Gir\\~ao","submitted_at":"2014-07-22T17:26:04Z","abstract_excerpt":"We prove the existence of positive and of nodal solutions for $-\\Delta u = |u|^{p-2}u+\\mu |u|^{q-2}u$, $u\\in {\\rm H_0^1}(\\Omega)$, where $\\mu >0$ and $2<q<p=2N(N-2)$, for a class of open subsets $\\Omega$ of $\\mathbb{R}^N$ lying between two infinite cylinders."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5950","kind":"arxiv","version":1},"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":"1407.5950","created_at":"2026-05-18T02:47:06.318857+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.5950v1","created_at":"2026-05-18T02:47:06.318857+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5950","created_at":"2026-05-18T02:47:06.318857+00:00"},{"alias_kind":"pith_short_12","alias_value":"BU63NJG3WFH7","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"BU63NJG3WFH72R7B","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"BU63NJG3","created_at":"2026-05-18T12:28:22.404517+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/BU63NJG3WFH72R7BBXN2ZDVZAP","json":"https://pith.science/pith/BU63NJG3WFH72R7BBXN2ZDVZAP.json","graph_json":"https://pith.science/api/pith-number/BU63NJG3WFH72R7BBXN2ZDVZAP/graph.json","events_json":"https://pith.science/api/pith-number/BU63NJG3WFH72R7BBXN2ZDVZAP/events.json","paper":"https://pith.science/paper/BU63NJG3"},"agent_actions":{"view_html":"https://pith.science/pith/BU63NJG3WFH72R7BBXN2ZDVZAP","download_json":"https://pith.science/pith/BU63NJG3WFH72R7BBXN2ZDVZAP.json","view_paper":"https://pith.science/paper/BU63NJG3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.5950&json=true","fetch_graph":"https://pith.science/api/pith-number/BU63NJG3WFH72R7BBXN2ZDVZAP/graph.json","fetch_events":"https://pith.science/api/pith-number/BU63NJG3WFH72R7BBXN2ZDVZAP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BU63NJG3WFH72R7BBXN2ZDVZAP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BU63NJG3WFH72R7BBXN2ZDVZAP/action/storage_attestation","attest_author":"https://pith.science/pith/BU63NJG3WFH72R7BBXN2ZDVZAP/action/author_attestation","sign_citation":"https://pith.science/pith/BU63NJG3WFH72R7BBXN2ZDVZAP/action/citation_signature","submit_replication":"https://pith.science/pith/BU63NJG3WFH72R7BBXN2ZDVZAP/action/replication_record"}},"created_at":"2026-05-18T02:47:06.318857+00:00","updated_at":"2026-05-18T02:47:06.318857+00:00"}