{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:NXWUJOPR55DMDEFUSTU2U5QTH7","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":"8d2351e3fd6a7fba9e4d8b81c7a6a78e05f3c175d805c3d7d475bc09e1dce4f5","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-11-24T05:31:30Z","title_canon_sha256":"521f69ab8ced1533a48529cccfba6a9fbdb3e72419a0eb5a1b508c97839331f1"},"schema_version":"1.0","source":{"id":"0911.4545","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.4545","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"arxiv_version","alias_value":"0911.4545v1","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.4545","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"pith_short_12","alias_value":"NXWUJOPR55DM","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"NXWUJOPR55DMDEFU","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"NXWUJOPR","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:af86bd981385d2b98b0864241f25446053edb7814d0aef4280a8f5d483d52c5a","target":"graph","created_at":"2026-05-18T03:45:32Z","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 give a hyperelliptic formulation of the Ansatz of D'Hoker and Phong. We give an explicit family of binary invariants, one for each genus, that satisfies this hyperelliptic Ansatz. We also prove that this is the unique family of weight eight binary forms over the theta group on the hyperelliptic locus that satisfies this Ansatz. Futhermore, we prove that this solution may also be obtained by applying Thomae's map to multivalued Siegel modular forms of Grushevsky and making certain choices of roots.","authors_text":"Cris Poor, David S. Yuen","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-11-24T05:31:30Z","title":"Binary Forms and the Hyperelliptic Superstring Ansatz"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.4545","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:f2e921efbbc0bf63078ad99d1e8d609f358dc764aabc98daf2a09412d320af7b","target":"record","created_at":"2026-05-18T03:45:32Z","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":"8d2351e3fd6a7fba9e4d8b81c7a6a78e05f3c175d805c3d7d475bc09e1dce4f5","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-11-24T05:31:30Z","title_canon_sha256":"521f69ab8ced1533a48529cccfba6a9fbdb3e72419a0eb5a1b508c97839331f1"},"schema_version":"1.0","source":{"id":"0911.4545","kind":"arxiv","version":1}},"canonical_sha256":"6ded44b9f1ef46c190b494e9aa76133feb99bad04691e125f25ed0056e80ff88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ded44b9f1ef46c190b494e9aa76133feb99bad04691e125f25ed0056e80ff88","first_computed_at":"2026-05-18T03:45:32.214715Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:32.214715Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5FXvjPsNLcjPMpj33l3rFsT+Dgr9xPCahZ0f/slxSM8J2GrNSLQWJ5Ta+O+NqVdOxrFgdVaisXQkOF8J1VutAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:32.215281Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.4545","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2e921efbbc0bf63078ad99d1e8d609f358dc764aabc98daf2a09412d320af7b","sha256:af86bd981385d2b98b0864241f25446053edb7814d0aef4280a8f5d483d52c5a"],"state_sha256":"589946d0359610baa6b3d986e91bd50ff71861c16a4b8267818bb84548c9cbc1"}