{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:CHJESBLP6OLJC6UCKNZGIJHARZ","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":"4894f7caa73d23dca7f86ee46b3bb5bb1f8834b0613831d62bcf656e414b58a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-13T22:01:25Z","title_canon_sha256":"9558ca9b361d862673493d6138da2cb2d9a00fcbeaffa8195508ebfae344f031"},"schema_version":"1.0","source":{"id":"1411.3753","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.3753","created_at":"2026-05-18T02:19:42Z"},{"alias_kind":"arxiv_version","alias_value":"1411.3753v1","created_at":"2026-05-18T02:19:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3753","created_at":"2026-05-18T02:19:42Z"},{"alias_kind":"pith_short_12","alias_value":"CHJESBLP6OLJ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"CHJESBLP6OLJC6UC","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"CHJESBLP","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:085bcffc930f3f476d689c1547530c3fc8ef83638d1da76916aa61d885ea85d8","target":"graph","created_at":"2026-05-18T02:19:42Z","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":"This paper is concerned with the multiplicity of nontrivial solutions in an Orlicz-Sobolev space for a nonlocal problem with critical growth, involving N-functions and theory of locally Lispchitz continuous functionals.","authors_text":"Giovany M. Figueiredo, Jefferson A. Santos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-13T22:01:25Z","title":"On a Phi-Kirchhoff multivalued problem with critical growth in an Orlicz-Sobolev space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3753","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:aa63b46524456932c3c7463f990d9f0c0ca895ea770e799415a47e3776cdd96d","target":"record","created_at":"2026-05-18T02:19:42Z","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":"4894f7caa73d23dca7f86ee46b3bb5bb1f8834b0613831d62bcf656e414b58a6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-13T22:01:25Z","title_canon_sha256":"9558ca9b361d862673493d6138da2cb2d9a00fcbeaffa8195508ebfae344f031"},"schema_version":"1.0","source":{"id":"1411.3753","kind":"arxiv","version":1}},"canonical_sha256":"11d249056ff396917a8253726424e08e790400e2a4f9d21ebf0ebaba6cd31a0e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11d249056ff396917a8253726424e08e790400e2a4f9d21ebf0ebaba6cd31a0e","first_computed_at":"2026-05-18T02:19:42.474025Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:42.474025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"u1Yly8Zi9JQDqdF7ZYPYqblyXtUjdmzF6DYRSRCy+SG+XiOMHTIpZ6TXvnOaXdKt/Y7LJCmDGM2w5BpXQ7uxDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:42.474452Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.3753","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa63b46524456932c3c7463f990d9f0c0ca895ea770e799415a47e3776cdd96d","sha256:085bcffc930f3f476d689c1547530c3fc8ef83638d1da76916aa61d885ea85d8"],"state_sha256":"4041ae1d05ee191c7b8e3050968a588bbd981841b71544284c27cb0d22f57c87"}