{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KIHAY5J5RT3BHS7WUFFJWL4U3B","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":"04a654c68d3f4b5c1e9fc875bf4ea881aa23a163df7e6f77eb8475c3b06f56d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-08T07:47:55Z","title_canon_sha256":"7c5b00caa2efb6cfd25129683945d4801652d90fd9fa155404a60988aae44446"},"schema_version":"1.0","source":{"id":"1404.2031","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.2031","created_at":"2026-05-17T23:53:14Z"},{"alias_kind":"arxiv_version","alias_value":"1404.2031v1","created_at":"2026-05-17T23:53:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2031","created_at":"2026-05-17T23:53:14Z"},{"alias_kind":"pith_short_12","alias_value":"KIHAY5J5RT3B","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KIHAY5J5RT3BHS7W","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KIHAY5J5","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:c6c89eb13606290e7ad88ddba44f99cf9d0f77817de3d52493f096f1e9a89ca0","target":"graph","created_at":"2026-05-17T23:53:14Z","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 provide an existence result of radially symmetric, positive, classical solutions for a nonlinear Schr\\\"{o}dinger equation driven by the infinitesimal generator of a rotationally invariant L\\'{e}vy process.","authors_text":"Gaosheng Zhu, Yongchao Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-08T07:47:55Z","title":"A Positive Solution for a Nonlocal Schr\\\"{o}dinger Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2031","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:a7cca7acf88f27474ff874ac9e99115dfedd0ec5f8d2cac83834df8a21706646","target":"record","created_at":"2026-05-17T23:53:14Z","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":"04a654c68d3f4b5c1e9fc875bf4ea881aa23a163df7e6f77eb8475c3b06f56d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-08T07:47:55Z","title_canon_sha256":"7c5b00caa2efb6cfd25129683945d4801652d90fd9fa155404a60988aae44446"},"schema_version":"1.0","source":{"id":"1404.2031","kind":"arxiv","version":1}},"canonical_sha256":"520e0c753d8cf613cbf6a14a9b2f94d84b0d5aea3d58bb9e6e455dde02cac808","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"520e0c753d8cf613cbf6a14a9b2f94d84b0d5aea3d58bb9e6e455dde02cac808","first_computed_at":"2026-05-17T23:53:14.514080Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:14.514080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1M5Tb7xQxs14Qrmh9DyuNd88TJZxntwEdJOp6am66YqS5L3K7Z1Sjz0TMhw4j2PFY6K09EhoL273bPnrBME9CQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:14.514725Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.2031","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7cca7acf88f27474ff874ac9e99115dfedd0ec5f8d2cac83834df8a21706646","sha256:c6c89eb13606290e7ad88ddba44f99cf9d0f77817de3d52493f096f1e9a89ca0"],"state_sha256":"2350468222ec08fc91cf0879fee7fe823a6d6656b68f51859db270de9d41ccee"}