{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:MUJOO6OGV5Z54MLH3QJ22FIGGR","short_pith_number":"pith:MUJOO6OG","schema_version":"1.0","canonical_sha256":"6512e779c6af73de3167dc13ad1506344ef9ed5b1e1aefa23c868d4de22e1a70","source":{"kind":"arxiv","id":"1906.09001","version":1},"attestation_state":"computed","paper":{"title":"Eigenvalue problems with unbalanced growth: Nonlinear patterns and standing wave solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Du\\v{s}an Repov\\v{s}, Istv\\'an Farag\\'o","submitted_at":"2019-06-21T08:21:13Z","abstract_excerpt":"We consider two classes of nonlinear eigenvalue problems with double-phase energy and lack of compactness. We establish existence and non-existence results and related properties of solutions. Our analysis combines variational methods with the generalized Pucci-Serrin maximum principle."},"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":"1906.09001","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-21T08:21:13Z","cross_cats_sorted":[],"title_canon_sha256":"70df28c5ae43a6da5d2ff79cc3868665edbd18d860fb495bb7d44b975ad20ecf","abstract_canon_sha256":"50af76ee840e6a1a5d8cba33efeb7221c9d19cf27adba842fa6e212224fc8f7c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:47.099992Z","signature_b64":"sNCzt/v8QYeHXhQMvib9dlsZsiwofj15GX5ih7zagrTyykeJl9Rw0TFU7i8/AvsLUHEompMLA4wSIdAfvjoMDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6512e779c6af73de3167dc13ad1506344ef9ed5b1e1aefa23c868d4de22e1a70","last_reissued_at":"2026-05-17T23:42:47.099409Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:47.099409Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Eigenvalue problems with unbalanced growth: Nonlinear patterns and standing wave solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Du\\v{s}an Repov\\v{s}, Istv\\'an Farag\\'o","submitted_at":"2019-06-21T08:21:13Z","abstract_excerpt":"We consider two classes of nonlinear eigenvalue problems with double-phase energy and lack of compactness. We establish existence and non-existence results and related properties of solutions. Our analysis combines variational methods with the generalized Pucci-Serrin maximum principle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09001","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":"1906.09001","created_at":"2026-05-17T23:42:47.099488+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.09001v1","created_at":"2026-05-17T23:42:47.099488+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09001","created_at":"2026-05-17T23:42:47.099488+00:00"},{"alias_kind":"pith_short_12","alias_value":"MUJOO6OGV5Z5","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"MUJOO6OGV5Z54MLH","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"MUJOO6OG","created_at":"2026-05-18T12:33:24.271573+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/MUJOO6OGV5Z54MLH3QJ22FIGGR","json":"https://pith.science/pith/MUJOO6OGV5Z54MLH3QJ22FIGGR.json","graph_json":"https://pith.science/api/pith-number/MUJOO6OGV5Z54MLH3QJ22FIGGR/graph.json","events_json":"https://pith.science/api/pith-number/MUJOO6OGV5Z54MLH3QJ22FIGGR/events.json","paper":"https://pith.science/paper/MUJOO6OG"},"agent_actions":{"view_html":"https://pith.science/pith/MUJOO6OGV5Z54MLH3QJ22FIGGR","download_json":"https://pith.science/pith/MUJOO6OGV5Z54MLH3QJ22FIGGR.json","view_paper":"https://pith.science/paper/MUJOO6OG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.09001&json=true","fetch_graph":"https://pith.science/api/pith-number/MUJOO6OGV5Z54MLH3QJ22FIGGR/graph.json","fetch_events":"https://pith.science/api/pith-number/MUJOO6OGV5Z54MLH3QJ22FIGGR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MUJOO6OGV5Z54MLH3QJ22FIGGR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MUJOO6OGV5Z54MLH3QJ22FIGGR/action/storage_attestation","attest_author":"https://pith.science/pith/MUJOO6OGV5Z54MLH3QJ22FIGGR/action/author_attestation","sign_citation":"https://pith.science/pith/MUJOO6OGV5Z54MLH3QJ22FIGGR/action/citation_signature","submit_replication":"https://pith.science/pith/MUJOO6OGV5Z54MLH3QJ22FIGGR/action/replication_record"}},"created_at":"2026-05-17T23:42:47.099488+00:00","updated_at":"2026-05-17T23:42:47.099488+00:00"}