{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IW4OKEI5BB5UDFU2DDUJQLBVCO","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":"20ed530d0516e33860b0e74a1a13ce3dc87ffde1e1fe50300146cd0d42de92f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-07-10T10:48:32Z","title_canon_sha256":"a79bdb0d454e2561cccc47f80ca4b384f8426045d95b95f2abba2fefc5a5d065"},"schema_version":"1.0","source":{"id":"1207.2303","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.2303","created_at":"2026-05-18T03:51:24Z"},{"alias_kind":"arxiv_version","alias_value":"1207.2303v1","created_at":"2026-05-18T03:51:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2303","created_at":"2026-05-18T03:51:24Z"},{"alias_kind":"pith_short_12","alias_value":"IW4OKEI5BB5U","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IW4OKEI5BB5UDFU2","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IW4OKEI5","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:58b437c821d5ab67577d416485203def0e75c223732e64ce4e83e9f727bb78d5","target":"graph","created_at":"2026-05-18T03:51:24Z","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 prove the existence of a nontrivial non-negative radial solution for a quasilinear elliptic problem. Our aim is to approach the problem variationally by using the tools of critical points theory in an Orlicz-Sobolev space. A multiplicity result is also given.","authors_text":"Alessio Pomponio, Antonio Azzollini, Pietro d'Avenia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-07-10T10:48:32Z","title":"Quasilinear elliptic equations in $\\RN$ via variational methods and Orlicz-Sobolev embeddings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2303","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:a83ba422866534a5bc676121a74f518b7726c0519d58149e3111d057b332c3e3","target":"record","created_at":"2026-05-18T03:51:24Z","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":"20ed530d0516e33860b0e74a1a13ce3dc87ffde1e1fe50300146cd0d42de92f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-07-10T10:48:32Z","title_canon_sha256":"a79bdb0d454e2561cccc47f80ca4b384f8426045d95b95f2abba2fefc5a5d065"},"schema_version":"1.0","source":{"id":"1207.2303","kind":"arxiv","version":1}},"canonical_sha256":"45b8e5111d087b41969a18e8982c35139fbb005bfe92a45a3d3019f468d7b66f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45b8e5111d087b41969a18e8982c35139fbb005bfe92a45a3d3019f468d7b66f","first_computed_at":"2026-05-18T03:51:24.450070Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:24.450070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xaKM3dg/UY5QBMNaXA34veH5ZZPymhW+xynJexJ/2A7yLuVKv/rFIkmtwSo3URt42p2o05A9sPYplD90/QdRAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:24.450624Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.2303","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a83ba422866534a5bc676121a74f518b7726c0519d58149e3111d057b332c3e3","sha256:58b437c821d5ab67577d416485203def0e75c223732e64ce4e83e9f727bb78d5"],"state_sha256":"60682c23263d6896ad6d51eeab0289ceec244e2a44c808de9bcdcd9f5ee23b45"}