{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3S24IJYBV7PNZ3F2Z3AE33RMVE","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":"951d420804b84d2a8cce3447a7066a10723911734226f68d7ba5d687159648df","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-13T07:38:55Z","title_canon_sha256":"563deed65f0b65b58f2b563a9595ca12a251d01fb3b94b7e3a05add1d46a87b0"},"schema_version":"1.0","source":{"id":"1303.3103","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3103","created_at":"2026-05-18T03:31:05Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3103v1","created_at":"2026-05-18T03:31:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3103","created_at":"2026-05-18T03:31:05Z"},{"alias_kind":"pith_short_12","alias_value":"3S24IJYBV7PN","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3S24IJYBV7PNZ3F2","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3S24IJYB","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:b7b6006ebb4982319fd45167c38adfd3223d7c8204a02e458aa656249b036e89","target":"graph","created_at":"2026-05-18T03:31:05Z","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"},"paper":{"abstract_excerpt":"K. Saito's theory of primitive forms gives a natural semi-simple Frobenius manifold structure on the space of miniversal deformations of an isolated singularity. On the other hand, Givental introduced the notion of a total ancestor potential for every semi-simple point of a Frobenius manifold and conjectured that in the settings of singularity theory his definition extends analytically to non-semisimple points as well. In this paper we prove Givental's conjecture by using the Eynard--Orantin recursion.","authors_text":"Todor MIlanov","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-13T07:38:55Z","title":"Analyticity of the total ancestor potential in singularity theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3103","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:ba9bb1f924e0209d47eb737b587a6858c71b7e5fcb719c9f6aa9f8dab8769ef9","target":"record","created_at":"2026-05-18T03:31:05Z","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":"951d420804b84d2a8cce3447a7066a10723911734226f68d7ba5d687159648df","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-13T07:38:55Z","title_canon_sha256":"563deed65f0b65b58f2b563a9595ca12a251d01fb3b94b7e3a05add1d46a87b0"},"schema_version":"1.0","source":{"id":"1303.3103","kind":"arxiv","version":1}},"canonical_sha256":"dcb5c42701afdedcecbacec04dee2ca9265df21bfd64ae5caea4ec8c431d3ef4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dcb5c42701afdedcecbacec04dee2ca9265df21bfd64ae5caea4ec8c431d3ef4","first_computed_at":"2026-05-18T03:31:05.720148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:05.720148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iTrUMh7TeDIvOF7oX25Ea/iBUNauQjSW/B5vRRLCxeBckmR2mXv5k0NHupuEHwxUtjsRf2Ejk3CLxfqfIbubAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:05.720986Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.3103","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba9bb1f924e0209d47eb737b587a6858c71b7e5fcb719c9f6aa9f8dab8769ef9","sha256:b7b6006ebb4982319fd45167c38adfd3223d7c8204a02e458aa656249b036e89"],"state_sha256":"5a89946b8aa3e6eeedaeebf5fe65349abd5956c053489da32cec38fdcec02d8c"}