{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2T5Q3CCHPG3LUPRQKHNXIVAT44","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":"7fc07d71cc6a3d3a7118d171b1a38b656943bbceca827a959bc3bc3fa272f8bd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-21T22:58:54Z","title_canon_sha256":"e2322ba9db8e65eaed5884682b4de4d0de5ab27a41a07fe9e83ecd34331fdbce"},"schema_version":"1.0","source":{"id":"2605.23092","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23092","created_at":"2026-05-25T02:01:37Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23092v1","created_at":"2026-05-25T02:01:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23092","created_at":"2026-05-25T02:01:37Z"},{"alias_kind":"pith_short_12","alias_value":"2T5Q3CCHPG3L","created_at":"2026-05-25T02:01:37Z"},{"alias_kind":"pith_short_16","alias_value":"2T5Q3CCHPG3LUPRQ","created_at":"2026-05-25T02:01:37Z"},{"alias_kind":"pith_short_8","alias_value":"2T5Q3CCH","created_at":"2026-05-25T02:01:37Z"}],"graph_snapshots":[{"event_id":"sha256:b7000caa13121a86b8c69593007015f272a8467de7d43d9fbe03606d1047ac1a","target":"graph","created_at":"2026-05-25T02:01:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.23092/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Studied here is the Zakharov--Kuznetsov equation with a linear transport term posed on a half-strip with nonhomogeneous boundary condition. Using Bourgain-type spaces adapted to the ZK dispersive structure, anisotropic smoothing and boundary trace estimates, we establish its local well-posedness in $L^2.$","authors_text":"E Avelino, G Doronin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-21T22:58:54Z","title":"Low-regularity well-posedness for the ZK equation on a half-strip"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23092","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":"sha256:71bcc7b205813ce8b3dc9fa125b84853a8b9f30d3e3394757aa1d50d1c01aa9e","target":"record","created_at":"2026-05-25T02:01:37Z","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":"7fc07d71cc6a3d3a7118d171b1a38b656943bbceca827a959bc3bc3fa272f8bd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2026-05-21T22:58:54Z","title_canon_sha256":"e2322ba9db8e65eaed5884682b4de4d0de5ab27a41a07fe9e83ecd34331fdbce"},"schema_version":"1.0","source":{"id":"2605.23092","kind":"arxiv","version":1}},"canonical_sha256":"d4fb0d884779b6ba3e3051db745413e70e083d8067522a4ef102debe81dffd7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4fb0d884779b6ba3e3051db745413e70e083d8067522a4ef102debe81dffd7a","first_computed_at":"2026-05-25T02:01:37.924520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:01:37.924520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w3Zd6BOZd3ZySrmEOHmc7NQMLYsyaXR4XQXbE8whT3rwiPU5lgtiXQO/bt8yRQh4Vr/Yyx8/qb+BKmPzoo9rCg==","signature_status":"signed_v1","signed_at":"2026-05-25T02:01:37.925241Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.23092","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71bcc7b205813ce8b3dc9fa125b84853a8b9f30d3e3394757aa1d50d1c01aa9e","sha256:b7000caa13121a86b8c69593007015f272a8467de7d43d9fbe03606d1047ac1a"],"state_sha256":"124b0441bc9fe85b3155bb79be225ada51f21e4d650f4c4207c0d10963eacb24"}