{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RSXU5UUMSUOJJPYVSH7WHOLLQO","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":"9054ca0223c710cf447aada78ea902dd0676f7d64e9101d16229aaf4f6ccc8bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-28T06:39:16Z","title_canon_sha256":"f85ea7364346133bb8225fc155b6fe5cd5b294eb24b0d60a51f6746d488cf85e"},"schema_version":"1.0","source":{"id":"1810.00676","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00676","created_at":"2026-05-18T00:04:25Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00676v1","created_at":"2026-05-18T00:04:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00676","created_at":"2026-05-18T00:04:25Z"},{"alias_kind":"pith_short_12","alias_value":"RSXU5UUMSUOJ","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RSXU5UUMSUOJJPYV","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RSXU5UUM","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:5a9da299cc68cd22a2e84e0dd2332c3748aa67fcdbb6d76cee6d23db3ecb5e81","target":"graph","created_at":"2026-05-18T00:04:25Z","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 the strong instability of standing waves for a system of nonlinear Schr\\\"odinger equations with quadratic interaction under the mass resonance condition in dimension $d=5$.","authors_text":"Van Duong Dinh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-28T06:39:16Z","title":"Strong instability of standing waves for a system NLS with quadratic interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00676","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":"sha256:843a7587239eb9bce8b4c13c09266f77e53f1ec4471c97ad0317728bada4ef07","target":"record","created_at":"2026-05-18T00:04:25Z","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":"9054ca0223c710cf447aada78ea902dd0676f7d64e9101d16229aaf4f6ccc8bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-28T06:39:16Z","title_canon_sha256":"f85ea7364346133bb8225fc155b6fe5cd5b294eb24b0d60a51f6746d488cf85e"},"schema_version":"1.0","source":{"id":"1810.00676","kind":"arxiv","version":1}},"canonical_sha256":"8caf4ed28c951c94bf1591ff63b96b838d5c4ab8edc9136eb2921a2a3b576504","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8caf4ed28c951c94bf1591ff63b96b838d5c4ab8edc9136eb2921a2a3b576504","first_computed_at":"2026-05-18T00:04:25.139847Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:25.139847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pZqNM2mE4mUV/t9wOzQ7P3ZzMkkzEVZoCjCsB6zQSZQ0uaotXkdiKh8v+zqmNh14XJH8xFvQ0+jRFNFDHV3dDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:25.140663Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.00676","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:843a7587239eb9bce8b4c13c09266f77e53f1ec4471c97ad0317728bada4ef07","sha256:5a9da299cc68cd22a2e84e0dd2332c3748aa67fcdbb6d76cee6d23db3ecb5e81"],"state_sha256":"c2984f61af9fc9b83c1a10755eea7186f43b959c06685298038414b0f8d38aa3"}