{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZIRXKSICHPYM36NSCBSAUVIV5P","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":"4c8e24a032b4f7ac38ad8b3cd2514e2e3a031911d2604c1aab0552e6381a3b5c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-02T12:27:13Z","title_canon_sha256":"864143dfd5050f88a2136dff91e5fd5181557a70dfddc590ec564972ef0ed985"},"schema_version":"1.0","source":{"id":"1310.0679","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.0679","created_at":"2026-05-18T03:11:34Z"},{"alias_kind":"arxiv_version","alias_value":"1310.0679v1","created_at":"2026-05-18T03:11:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.0679","created_at":"2026-05-18T03:11:34Z"},{"alias_kind":"pith_short_12","alias_value":"ZIRXKSICHPYM","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZIRXKSICHPYM36NS","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZIRXKSIC","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:4ef516859fdeb4dcd490e95c677440e8c3bad7c4ead4ffd68d474d898abbab1d","target":"graph","created_at":"2026-05-18T03:11:34Z","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":"The aim of this paper is investigating the existence of weak solutions of the quasilinear elliptic model problem \\[ \\left\\{\\begin{array}{lr} - \\divg (A(x,u)\\, |\\nabla u|^{p-2}\\, \\nabla u) + \\dfrac1p\\, A_t(x,u)\\, |\\nabla u|^p\\ =\\ f(x,u) & \\hbox{in $\\Omega$,}\\\\ u\\ = \\ 0 & \\hbox{on $\\partial\\Omega$,} \\end{array} \\right. \\] where $\\Omega \\subset \\R^N$ is a bounded domain, $N\\ge 2$, $p > 1$, $A$ is a given function which admits partial derivative $A_t(x,t) = \\frac{\\partial A}{\\partial t}(x,t)$ and $f$ is asymptotically $p$-linear at infinity.\n  Under suitable hypotheses both at the origin and at in","authors_text":"A.M. Candela, G. Palmieri, K. Perera","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-02T12:27:13Z","title":"Multiple solutions for p-Laplacian type problems with asymptotically p-linear terms via a cohomological index theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.0679","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":"sha256:4eaf7df18f01c048770fb765e5f56ce30d66acdb81b2c89c25ba477df58f4e6a","target":"record","created_at":"2026-05-18T03:11:34Z","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":"4c8e24a032b4f7ac38ad8b3cd2514e2e3a031911d2604c1aab0552e6381a3b5c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-02T12:27:13Z","title_canon_sha256":"864143dfd5050f88a2136dff91e5fd5181557a70dfddc590ec564972ef0ed985"},"schema_version":"1.0","source":{"id":"1310.0679","kind":"arxiv","version":1}},"canonical_sha256":"ca237549023bf0cdf9b210640a5515ebc92b14f1006a7e5e8af80bc3d010be5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca237549023bf0cdf9b210640a5515ebc92b14f1006a7e5e8af80bc3d010be5d","first_computed_at":"2026-05-18T03:11:34.346262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:11:34.346262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fi6h4CYet7QT0aP4Acs2bDDCgKvrGwN67zMSOf4LIZkZYcCPw36yIDE4RlaeEFpgF0h6ZZXsn0Ae+sPgM0U3Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:11:34.346931Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.0679","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4eaf7df18f01c048770fb765e5f56ce30d66acdb81b2c89c25ba477df58f4e6a","sha256:4ef516859fdeb4dcd490e95c677440e8c3bad7c4ead4ffd68d474d898abbab1d"],"state_sha256":"0bac8f5aecb2911ef7fd50cc671eb2bef8154f2838f34925e609955a9eb45067"}