{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DLZXWN6SYI4QJONRTNX3LTS6ME","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":"33c7194630ccb616cc204bc565b547fc9f717b1e5cebc40d6f135b38ea196714","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-th","submitted_at":"2017-01-11T16:51:14Z","title_canon_sha256":"6299c65cb2437fc817786db81138e65f7553f455fcf54af9e9dffe533642675c"},"schema_version":"1.0","source":{"id":"1701.03057","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03057","created_at":"2026-05-18T00:41:44Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03057v2","created_at":"2026-05-18T00:41:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03057","created_at":"2026-05-18T00:41:44Z"},{"alias_kind":"pith_short_12","alias_value":"DLZXWN6SYI4Q","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DLZXWN6SYI4QJONR","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DLZXWN6S","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:dc506825e0ac30606d4323a89011a850118d9342bdc6fc0e05384f0a27cfdc2a","target":"graph","created_at":"2026-05-18T00:41:44Z","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 review the basic properties of effective actions of families of theories (i.e., the actions depending on additional non-perturbative moduli along with perturbative couplings), and their description in terms of operators (called check-operators), which act on the moduli space. It is this approach that led to constructing the (quantum) spectral curves and what is now nicknamed the EO/AMM topological recursion. We explain how the non-commutative algebra of check-operators is related to the modular kernels and how symplectic (special) geometry emerges from it in the classical (Seiberg-Witten) l","authors_text":"Alexei Morozov, Andrei Mironov","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-th","submitted_at":"2017-01-11T16:51:14Z","title":"Check-Operators and Quantum Spectral Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03057","kind":"arxiv","version":2},"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":"sha256:686bffdb640b97fef47ca5f4efdf2b65c6c6870268c39abc710cecfe005fc186","target":"record","created_at":"2026-05-18T00:41:44Z","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":"33c7194630ccb616cc204bc565b547fc9f717b1e5cebc40d6f135b38ea196714","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-th","submitted_at":"2017-01-11T16:51:14Z","title_canon_sha256":"6299c65cb2437fc817786db81138e65f7553f455fcf54af9e9dffe533642675c"},"schema_version":"1.0","source":{"id":"1701.03057","kind":"arxiv","version":2}},"canonical_sha256":"1af37b37d2c23904b9b19b6fb5ce5e61381060c19f27b36b0d68de0d9d52e36f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1af37b37d2c23904b9b19b6fb5ce5e61381060c19f27b36b0d68de0d9d52e36f","first_computed_at":"2026-05-18T00:41:44.374656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:44.374656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ln8Cksxx6Zv7Kxk+A/sSld75yAXmkdG4JSbAj29py/v3kQWMbjB6m+XHnO5Dg7AAHEHiR8NdaSfzTUOrp/zfAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:44.375231Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.03057","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:686bffdb640b97fef47ca5f4efdf2b65c6c6870268c39abc710cecfe005fc186","sha256:dc506825e0ac30606d4323a89011a850118d9342bdc6fc0e05384f0a27cfdc2a"],"state_sha256":"805f7293237ad17dada42859c553d2b6d75b14835aa84f8d356437a6f5fc939c"}