{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6PUUFNQ3OP2ZJMXEZ3TQ5I2S2O","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":"1ea1c5c326885485d13143fd0aa91cd19572f4fdb7c4e8ba30390672b023c822","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-26T16:40:35Z","title_canon_sha256":"8ef3f8b5582bd7733e033bba1c3b49f03e5736a28f4a00361717e78c13fa6e04"},"schema_version":"1.0","source":{"id":"1704.08203","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.08203","created_at":"2026-05-18T00:30:59Z"},{"alias_kind":"arxiv_version","alias_value":"1704.08203v2","created_at":"2026-05-18T00:30:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.08203","created_at":"2026-05-18T00:30:59Z"},{"alias_kind":"pith_short_12","alias_value":"6PUUFNQ3OP2Z","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6PUUFNQ3OP2ZJMXE","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6PUUFNQ3","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:e0af4e88dc609abd6106b3bff0f4cc15dc5e2abb2d22989c4806c7b0f621f2ce","target":"graph","created_at":"2026-05-18T00:30:59Z","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":"In this paper we study a semilinear problem for the fractional laplacian that are the counterpart of the Neumann problems in the classical setting. We show uniqueness of minimal energy solutions for small domains.","authors_text":"Analia Silva, Juan Spedaletti, Julian Fernandez Bonder","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-26T16:40:35Z","title":"Uniqueness of minimal energy solutions for a semilinear problem involving the fractional laplacian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.08203","kind":"arxiv","version":2},"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":"sha256:372133dff1f167e0891e04c64cbb201a299a38623822d3cb17d78f01cfbea7e4","target":"record","created_at":"2026-05-18T00:30:59Z","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":"1ea1c5c326885485d13143fd0aa91cd19572f4fdb7c4e8ba30390672b023c822","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-04-26T16:40:35Z","title_canon_sha256":"8ef3f8b5582bd7733e033bba1c3b49f03e5736a28f4a00361717e78c13fa6e04"},"schema_version":"1.0","source":{"id":"1704.08203","kind":"arxiv","version":2}},"canonical_sha256":"f3e942b61b73f594b2e4cee70ea352d39a57a307ccd3d060fbd2a18fed19f54b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3e942b61b73f594b2e4cee70ea352d39a57a307ccd3d060fbd2a18fed19f54b","first_computed_at":"2026-05-18T00:30:59.940403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:59.940403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3g4AGXSlkteXdXZxtRp8OQ2+vdnJYMr/LiZMRxdaHVxR8vFRJ4QUpM25Zy5G8jfvjdiwDsAJ0UBrzyJYxDDqDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:59.941102Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.08203","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:372133dff1f167e0891e04c64cbb201a299a38623822d3cb17d78f01cfbea7e4","sha256:e0af4e88dc609abd6106b3bff0f4cc15dc5e2abb2d22989c4806c7b0f621f2ce"],"state_sha256":"4b35a6906cc78adb5ee1eaeeb0cf5ccac0f23f9dfb481e053d445e3ca26c46f8"}