{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:Z4CWQJX4BINI6ZAPLDKBMTGA3E","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":"5b30fa4a5bb2804bd0460f0fbbe5c8e63a7a34492d5634b66bb615aec3f739d8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-09-01T17:52:10Z","title_canon_sha256":"99fa228e4f29645ebf9ec7d0d4ef54714b3f83866aa331c003a4ab31567dd764"},"schema_version":"1.0","source":{"id":"2509.01650","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.01650","created_at":"2026-07-05T12:03:05Z"},{"alias_kind":"arxiv_version","alias_value":"2509.01650v1","created_at":"2026-07-05T12:03:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.01650","created_at":"2026-07-05T12:03:05Z"},{"alias_kind":"pith_short_12","alias_value":"Z4CWQJX4BINI","created_at":"2026-07-05T12:03:05Z"},{"alias_kind":"pith_short_16","alias_value":"Z4CWQJX4BINI6ZAP","created_at":"2026-07-05T12:03:05Z"},{"alias_kind":"pith_short_8","alias_value":"Z4CWQJX4","created_at":"2026-07-05T12:03:05Z"}],"graph_snapshots":[{"event_id":"sha256:2d550df99123d67475eef19d1b5556ed74c82d1d261f92a0819d2f3fc5439159","target":"graph","created_at":"2026-07-05T12:03:05Z","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/2509.01650/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study semilinear local well-posedness of the two-dimensional periodic cubic hyperbolic nonlinear Schr\\\"odinger equation (HNLS) in Fourier-Lebesgue spaces. By employing the Fourier restriction norm method, we first establish sharp semilinear local well-posedness of HNLS in Fourier-Lebesgue spaces (modulo the endpoint case), including almost scaling-critical Fourier-Lebesgue spaces. Then, by adapting the normal form approach, developed by the second author with Guo and Kwon (2013) and by the second and third authors (2021), to the current hyperbolic setting, we establish sharp unconditional u","authors_text":"Engin Ba\\c{s}ako\\u{g}lu, Tadahiro Oh, Yuzhao Wang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-09-01T17:52:10Z","title":"Sharp unconditional well-posedness of the 2-$d$ periodic cubic hyperbolic nonlinear Schr\\\"odinger equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.01650","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:ffb1b0d8613b577759e7f75ecd0767fdbfe15ca250893d5ca5ed8b1016291aad","target":"record","created_at":"2026-07-05T12:03:05Z","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":"5b30fa4a5bb2804bd0460f0fbbe5c8e63a7a34492d5634b66bb615aec3f739d8","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-09-01T17:52:10Z","title_canon_sha256":"99fa228e4f29645ebf9ec7d0d4ef54714b3f83866aa331c003a4ab31567dd764"},"schema_version":"1.0","source":{"id":"2509.01650","kind":"arxiv","version":1}},"canonical_sha256":"cf056826fc0a1a8f640f58d4164cc0d91c56d17bb3871a1b402f01746ca2a69a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf056826fc0a1a8f640f58d4164cc0d91c56d17bb3871a1b402f01746ca2a69a","first_computed_at":"2026-07-05T12:03:05.238727Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:03:05.238727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mbo4mGKkJzUm3W2Ji+VpAdVIbaBArvhA3DgdiNJZsv5UTQTpPMksr040h1+LuU2KzrgA5kydsgxEVRGiilskAA==","signature_status":"signed_v1","signed_at":"2026-07-05T12:03:05.239269Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.01650","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffb1b0d8613b577759e7f75ecd0767fdbfe15ca250893d5ca5ed8b1016291aad","sha256:2d550df99123d67475eef19d1b5556ed74c82d1d261f92a0819d2f3fc5439159"],"state_sha256":"4f7d362d475f64f5a0e41847ed05bf97d70fb9c78eb9e116348ab170ff2c8f34"}