{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:RAD55PXXRYPKVVLZHQJXUXVGK4","short_pith_number":"pith:RAD55PXX","schema_version":"1.0","canonical_sha256":"8807debef78e1eaad5793c137a5ea6570a69b8286a8ee296a45beeb274878ca8","source":{"kind":"arxiv","id":"1307.1817","version":1},"attestation_state":"computed","paper":{"title":"Strictly positive solutions for one-dimensional nonlinear problems involving the p-Laplacian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Ivan Medri, Uriel Kaufmann","submitted_at":"2013-07-06T22:16:47Z","abstract_excerpt":"Let $\\Omega$ be a bounded open interval, and let $p>1$ and $q\\in\\left(0,p-1\\right) $. Let $m\\in L^{p^{\\prime}}\\left(\\Omega\\right) $ and $0\\leq c\\in L^{\\infty}\\left(\\Omega\\right) $. We study existence of strictly positive solutions for elliptic problems of the form $-\\left(\\left\\| u^{\\prime}\\right\\|^{p-2}u^{\\prime}\\right) ^{\\prime}+c\\left(x\\right) u^{p-1}=m\\left(x\\right) u^{q}$ in $\\Omega$, $u=0$ on $\\partial\\Omega$. We mention that our results are new even in the case $c\\equiv0$."},"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":"1307.1817","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2013-07-06T22:16:47Z","cross_cats_sorted":[],"title_canon_sha256":"6b18388c8497e8643f7ed8888ff76d554306ab618f129fb217536ee19e324be0","abstract_canon_sha256":"20159ab1f822e9ea11b885a22f1909a5f2ec1ef0c8ae63d49c57a398e5745f76"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:35.475353Z","signature_b64":"UDvNgq9Ssyjw7ObXb18zhBlxvpSzAzfgkhogkTG/LBwZMnCI+mYTf4uUW64rK1MTY5R4NnstDdw5HMmtKn/KBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8807debef78e1eaad5793c137a5ea6570a69b8286a8ee296a45beeb274878ca8","last_reissued_at":"2026-05-17T23:53:35.474788Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:35.474788Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strictly positive solutions for one-dimensional nonlinear problems involving the p-Laplacian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Ivan Medri, Uriel Kaufmann","submitted_at":"2013-07-06T22:16:47Z","abstract_excerpt":"Let $\\Omega$ be a bounded open interval, and let $p>1$ and $q\\in\\left(0,p-1\\right) $. Let $m\\in L^{p^{\\prime}}\\left(\\Omega\\right) $ and $0\\leq c\\in L^{\\infty}\\left(\\Omega\\right) $. We study existence of strictly positive solutions for elliptic problems of the form $-\\left(\\left\\| u^{\\prime}\\right\\|^{p-2}u^{\\prime}\\right) ^{\\prime}+c\\left(x\\right) u^{p-1}=m\\left(x\\right) u^{q}$ in $\\Omega$, $u=0$ on $\\partial\\Omega$. We mention that our results are new even in the case $c\\equiv0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1817","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":"1307.1817","created_at":"2026-05-17T23:53:35.474874+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.1817v1","created_at":"2026-05-17T23:53:35.474874+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1817","created_at":"2026-05-17T23:53:35.474874+00:00"},{"alias_kind":"pith_short_12","alias_value":"RAD55PXXRYPK","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"RAD55PXXRYPKVVLZ","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"RAD55PXX","created_at":"2026-05-18T12:27:57.521954+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/RAD55PXXRYPKVVLZHQJXUXVGK4","json":"https://pith.science/pith/RAD55PXXRYPKVVLZHQJXUXVGK4.json","graph_json":"https://pith.science/api/pith-number/RAD55PXXRYPKVVLZHQJXUXVGK4/graph.json","events_json":"https://pith.science/api/pith-number/RAD55PXXRYPKVVLZHQJXUXVGK4/events.json","paper":"https://pith.science/paper/RAD55PXX"},"agent_actions":{"view_html":"https://pith.science/pith/RAD55PXXRYPKVVLZHQJXUXVGK4","download_json":"https://pith.science/pith/RAD55PXXRYPKVVLZHQJXUXVGK4.json","view_paper":"https://pith.science/paper/RAD55PXX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.1817&json=true","fetch_graph":"https://pith.science/api/pith-number/RAD55PXXRYPKVVLZHQJXUXVGK4/graph.json","fetch_events":"https://pith.science/api/pith-number/RAD55PXXRYPKVVLZHQJXUXVGK4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RAD55PXXRYPKVVLZHQJXUXVGK4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RAD55PXXRYPKVVLZHQJXUXVGK4/action/storage_attestation","attest_author":"https://pith.science/pith/RAD55PXXRYPKVVLZHQJXUXVGK4/action/author_attestation","sign_citation":"https://pith.science/pith/RAD55PXXRYPKVVLZHQJXUXVGK4/action/citation_signature","submit_replication":"https://pith.science/pith/RAD55PXXRYPKVVLZHQJXUXVGK4/action/replication_record"}},"created_at":"2026-05-17T23:53:35.474874+00:00","updated_at":"2026-05-17T23:53:35.474874+00:00"}