{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:GOGGXJC33B4TBFCCAC6H4CCN5F","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":"dfced240f54721bfb8dceb598c9a0446f75186f3f0ec72156a22aeafd2ede5bc","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2024-09-18T21:10:47Z","title_canon_sha256":"7c62548fb83a533154177b3b0d8deab1090cc6aee89356a5bac167c013c873fa"},"schema_version":"1.0","source":{"id":"2409.12316","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.12316","created_at":"2026-07-05T09:53:04Z"},{"alias_kind":"arxiv_version","alias_value":"2409.12316v3","created_at":"2026-07-05T09:53:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.12316","created_at":"2026-07-05T09:53:04Z"},{"alias_kind":"pith_short_12","alias_value":"GOGGXJC33B4T","created_at":"2026-07-05T09:53:04Z"},{"alias_kind":"pith_short_16","alias_value":"GOGGXJC33B4TBFCC","created_at":"2026-07-05T09:53:04Z"},{"alias_kind":"pith_short_8","alias_value":"GOGGXJC3","created_at":"2026-07-05T09:53:04Z"}],"graph_snapshots":[{"event_id":"sha256:a2a2423731d2b38fa01dade28eb57548b3d0a38b4e61d9ef3767f4af04758210","target":"graph","created_at":"2026-07-05T09:53:04Z","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/2409.12316/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper is a sequel to [3]. We formulate a natural algebraic geometry conjecture, give some of its number theoretic and analytical consequences, and show that those can be used to get further advances in wave turbulence theory.","authors_text":"Sergei Vl\\u{a}du\\c{t}","cross_cats":["math-ph","math.AG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2024-09-18T21:10:47Z","title":"An algebraic geometry question and wave turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.12316","kind":"arxiv","version":3},"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:e0f42c6f8b936ee2abcfe4fa8abfbc446da9548a423c0e4835e652bfedda4751","target":"record","created_at":"2026-07-05T09:53:04Z","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":"dfced240f54721bfb8dceb598c9a0446f75186f3f0ec72156a22aeafd2ede5bc","cross_cats_sorted":["math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2024-09-18T21:10:47Z","title_canon_sha256":"7c62548fb83a533154177b3b0d8deab1090cc6aee89356a5bac167c013c873fa"},"schema_version":"1.0","source":{"id":"2409.12316","kind":"arxiv","version":3}},"canonical_sha256":"338c6ba45bd87930944200bc7e084de940961ad2525290d1bd8bfbfc7be4c199","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"338c6ba45bd87930944200bc7e084de940961ad2525290d1bd8bfbfc7be4c199","first_computed_at":"2026-07-05T09:53:04.990028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:53:04.990028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qi/5tCrDlCO7H8NVS2fHwFExthS+ek+Bi4TyK7o288IA4WLceJ3PvkbPROxWq19Qbxm4vwwgriuCZTaTOa84BA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:53:04.990438Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.12316","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0f42c6f8b936ee2abcfe4fa8abfbc446da9548a423c0e4835e652bfedda4751","sha256:a2a2423731d2b38fa01dade28eb57548b3d0a38b4e61d9ef3767f4af04758210"],"state_sha256":"b4b52107b0f6aff029c3052e5775328970307e6c2cf6214a9b26b3e3954707ed"}