{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:M5THGIG3VULBVVLUAECOEKPEOY","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":"2a6195793751e7d07f1ff73e149dcf5d5b76c9b607ac301995cda36576d221b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-04T20:11:51Z","title_canon_sha256":"19333afc55d8d0bb500bb1c7f5fe82ea9d2fd7649abd929ba856c1ac99319d69"},"schema_version":"1.0","source":{"id":"1804.01596","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.01596","created_at":"2026-05-18T00:19:10Z"},{"alias_kind":"arxiv_version","alias_value":"1804.01596v1","created_at":"2026-05-18T00:19:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.01596","created_at":"2026-05-18T00:19:10Z"},{"alias_kind":"pith_short_12","alias_value":"M5THGIG3VULB","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"M5THGIG3VULBVVLU","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"M5THGIG3","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:fece5a514cc54e416aecda7a64eb982561e85746d572ceb9fb92b713201d5638","target":"graph","created_at":"2026-05-18T00:19:10Z","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 uniqueness properties of solutions to the Zakharov-Kuznetsov equation of plasma physic. Given two sufficiently regular solutions $u_1, u_2,$ we prove that, if $u_1-u_2$ decays fast enough at two distinct times, then $u_1\\equiv u_2.$","authors_text":"Felipe Linares, Luca Fanelli, Lucrezia Cossetti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-04T20:11:51Z","title":"Uniqueness results for Zakharov-Kuznetsov equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.01596","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":"sha256:67ce8573e7cdbd78dfac391ea995c8c147d08e192dfa2cad13756e000c1d089a","target":"record","created_at":"2026-05-18T00:19:10Z","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":"2a6195793751e7d07f1ff73e149dcf5d5b76c9b607ac301995cda36576d221b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-04T20:11:51Z","title_canon_sha256":"19333afc55d8d0bb500bb1c7f5fe82ea9d2fd7649abd929ba856c1ac99319d69"},"schema_version":"1.0","source":{"id":"1804.01596","kind":"arxiv","version":1}},"canonical_sha256":"67667320dbad161ad5740104e229e47619d975360fd354650797ae5a6f1dc0e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67667320dbad161ad5740104e229e47619d975360fd354650797ae5a6f1dc0e4","first_computed_at":"2026-05-18T00:19:10.774095Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:10.774095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6WO1CAayNJThAX5UsNUixKQsWBQz8QHOv5SUhhFy93CLbaQpDKdACWj4luTWOwffFj0FNLh/FmxpZaZBvA0JAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:10.774555Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.01596","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67ce8573e7cdbd78dfac391ea995c8c147d08e192dfa2cad13756e000c1d089a","sha256:fece5a514cc54e416aecda7a64eb982561e85746d572ceb9fb92b713201d5638"],"state_sha256":"b742e1b8ad9957045ced427c4f59f05d8a372ce12236c79f88c6c7f678c74b68"}