{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:35MDMVDCKVISEQK2BWQEF2B5IT","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":"a56ab0f305da696eaabc8107740bf40a4e4df9a0d9bf46bf0a8d51789f44c1fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-06T13:38:57Z","title_canon_sha256":"619028e7dc3aac1b4bc718928420011088cdac3a02986bbf75258d95e165dd9d"},"schema_version":"1.0","source":{"id":"1711.01884","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.01884","created_at":"2026-05-18T00:31:16Z"},{"alias_kind":"arxiv_version","alias_value":"1711.01884v1","created_at":"2026-05-18T00:31:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.01884","created_at":"2026-05-18T00:31:16Z"},{"alias_kind":"pith_short_12","alias_value":"35MDMVDCKVIS","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"35MDMVDCKVISEQK2","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"35MDMVDC","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:683529e69220958a4ef594e207a24a5deae68610cdc05ed613f6e1eb8769c44b","target":"graph","created_at":"2026-05-18T00:31:16Z","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":"We study a semilinear parametric elliptic equation with superdiffusive reaction and mixed boundary conditions. Using variational methods, together with suitable truncation techniques, we prove a bifurcation-type theorem describing the nonexistence, existence and multiplicity of positive solutions.","authors_text":"Du\\v{s}an D. Repov\\v{s}, Nikolaos S. Papageorgiou, Vicen\\c{t}iu D. R\\u{a}dulescu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-06T13:38:57Z","title":"Positive solutions for superdiffusive mixed problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.01884","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":"sha256:2e15452a3dc17342b5cfe873c612aeaf6215b19109f6bc660033c012b6ea01dd","target":"record","created_at":"2026-05-18T00:31:16Z","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":"a56ab0f305da696eaabc8107740bf40a4e4df9a0d9bf46bf0a8d51789f44c1fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-06T13:38:57Z","title_canon_sha256":"619028e7dc3aac1b4bc718928420011088cdac3a02986bbf75258d95e165dd9d"},"schema_version":"1.0","source":{"id":"1711.01884","kind":"arxiv","version":1}},"canonical_sha256":"df58365462555122415a0da042e83d44dfa89a019f04e9dcb61abc9e22fc8263","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df58365462555122415a0da042e83d44dfa89a019f04e9dcb61abc9e22fc8263","first_computed_at":"2026-05-18T00:31:16.636653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:16.636653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rj/YnHwJJ5MUgMFRV0Gk8LVjI2IJNOP04zZYQdUVx0J1LhjoitUsEdA7A4ZeBhOVY+/k8gn44qn3PPLYt39MDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:16.637064Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.01884","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e15452a3dc17342b5cfe873c612aeaf6215b19109f6bc660033c012b6ea01dd","sha256:683529e69220958a4ef594e207a24a5deae68610cdc05ed613f6e1eb8769c44b"],"state_sha256":"79a77a4cb0b40610f6444e812b5f012be5bd5314131162286d64ad0f38c05110"}