{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:67DUPL47BKR5KYHL7YOT6NJRGM","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":"e10588100a27022df2f31c12408499a44db011e2953fbbe0fbd220d72e871c27","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-10T21:11:25Z","title_canon_sha256":"9c205fcbaab2977490a0a6c970f0f7e3004d8168ce7740f5f0d6137c66d33263"},"schema_version":"1.0","source":{"id":"1411.2620","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2620","created_at":"2026-05-18T00:19:36Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2620v1","created_at":"2026-05-18T00:19:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2620","created_at":"2026-05-18T00:19:36Z"},{"alias_kind":"pith_short_12","alias_value":"67DUPL47BKR5","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"67DUPL47BKR5KYHL","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"67DUPL47","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:f93d77e1b17fb6779d56d9a2850669cc511d3776a2789760c2e242110dcdd8e4","target":"graph","created_at":"2026-05-18T00:19:36Z","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 strong instability (instability by blowup) of standing wave solutions for a nonlinear Schr\\\"odinger equation with an attractive delta potential and $L^2$-supercritical power nonlinearity in one space dimension. We also compare our sufficient condition on strong instability with some known results on orbital instability.","authors_text":"Masahito Ohta, Takahiro Yamaguchi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-10T21:11:25Z","title":"Strong instability of standing waves for nonlinear Schr\\\"odinger equations with a delta potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2620","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":"sha256:6aa493fcc629f5049f24b21207e36d28109c1f38263394a242e55ef91d147482","target":"record","created_at":"2026-05-18T00:19:36Z","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":"e10588100a27022df2f31c12408499a44db011e2953fbbe0fbd220d72e871c27","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-11-10T21:11:25Z","title_canon_sha256":"9c205fcbaab2977490a0a6c970f0f7e3004d8168ce7740f5f0d6137c66d33263"},"schema_version":"1.0","source":{"id":"1411.2620","kind":"arxiv","version":1}},"canonical_sha256":"f7c747af9f0aa3d560ebfe1d3f35313309673967022b4372f279a715bb4428e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7c747af9f0aa3d560ebfe1d3f35313309673967022b4372f279a715bb4428e2","first_computed_at":"2026-05-18T00:19:36.304768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:36.304768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"04bLq5ju2KGr9OIiaVpb+oD2HJbtzEPWL1TyGTj4dJ0bkH5sAkGFZ6MnxwYnOZTjtEborrm8LTFLBw780QslDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:36.305441Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.2620","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6aa493fcc629f5049f24b21207e36d28109c1f38263394a242e55ef91d147482","sha256:f93d77e1b17fb6779d56d9a2850669cc511d3776a2789760c2e242110dcdd8e4"],"state_sha256":"e01529365425bc0a163926a9d24be63393a18faad8560f766811561f093be236"}