{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FWKIBBN3YUKCPHYZSCJSFETLV7","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":"cede3b0f55b2a1d3152c5b4b01c7d3f354e50285df8fa21b4f7c30d20b8f11bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-06-08T21:34:34Z","title_canon_sha256":"23a90b6f2a06e30d55de30984911e4f0f3d625e2b1c6c7643aea7db1871d239d"},"schema_version":"1.0","source":{"id":"1506.02706","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02706","created_at":"2026-05-18T01:31:10Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02706v4","created_at":"2026-05-18T01:31:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02706","created_at":"2026-05-18T01:31:10Z"},{"alias_kind":"pith_short_12","alias_value":"FWKIBBN3YUKC","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"FWKIBBN3YUKCPHYZ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"FWKIBBN3","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:818eb87c964380a76b5213eeb4216d94029a52e120ffc3cae0d3eb06b445b4ad","target":"graph","created_at":"2026-05-18T01:31:10Z","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":"Let $\\Omega$ be a bounded open interval, let $p>1$ and $\\gamma>0$, and let $m:\\Omega\\rightarrow\\mathbb{R}$ be a function that may change sign in $\\Omega $. In this article we study the existence and nonexistence of positive solutions for one-dimensional singular problems of the form $-(\\left\\vert u^{\\prime}\\right\\vert ^{p-2}u^{\\prime})^{\\prime}=m\\left( x\\right) u^{-\\gamma}$ in $\\Omega$, $u=0$ on $\\partial\\Omega$. As a consequence we also derive existence results for other related nonlinearities.","authors_text":"Iv\\'an Medri, Uriel Kaufmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-06-08T21:34:34Z","title":"One-dimensional singular problems involving the p-Laplacian and nonlinearities indefinite in sign"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02706","kind":"arxiv","version":4},"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:c6ac8a7f2906cc99ff764b137ff50632021b4b8feec551741677b872b00d04d6","target":"record","created_at":"2026-05-18T01:31:10Z","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":"cede3b0f55b2a1d3152c5b4b01c7d3f354e50285df8fa21b4f7c30d20b8f11bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-06-08T21:34:34Z","title_canon_sha256":"23a90b6f2a06e30d55de30984911e4f0f3d625e2b1c6c7643aea7db1871d239d"},"schema_version":"1.0","source":{"id":"1506.02706","kind":"arxiv","version":4}},"canonical_sha256":"2d948085bbc514279f19909322926bafe6f2fae5b6c497f093aa901e4bbff805","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d948085bbc514279f19909322926bafe6f2fae5b6c497f093aa901e4bbff805","first_computed_at":"2026-05-18T01:31:10.844976Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:10.844976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TxudGB/qw5QZnx7GgsZ6SRABaC2QYXfRN+H/rQ+rdq3WyShOZEfFBMZyNhbHzaATQWJ6/+4/HrfatTFm1nZ3DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:10.845731Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.02706","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6ac8a7f2906cc99ff764b137ff50632021b4b8feec551741677b872b00d04d6","sha256:818eb87c964380a76b5213eeb4216d94029a52e120ffc3cae0d3eb06b445b4ad"],"state_sha256":"fee6ca18e9abbbaf0ccfdec2f1487d47ee96e5dd7abba70b25cbdae0befde01e"}