{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:TAB556H72D7KIXWLGE3RTRLLAB","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":"c6f20e3aba030f402ba4c1f30c03a81a497ea913ab0bf1a9b227a37665c74a78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-09-19T18:00:00Z","title_canon_sha256":"7d25c5785b89ed56295643fe36f111c22f5a3673b6ee5b856be4692fccca546d"},"schema_version":"1.0","source":{"id":"2209.09248","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.09248","created_at":"2026-07-05T05:01:03Z"},{"alias_kind":"arxiv_version","alias_value":"2209.09248v2","created_at":"2026-07-05T05:01:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.09248","created_at":"2026-07-05T05:01:03Z"},{"alias_kind":"pith_short_12","alias_value":"TAB556H72D7K","created_at":"2026-07-05T05:01:03Z"},{"alias_kind":"pith_short_16","alias_value":"TAB556H72D7KIXWL","created_at":"2026-07-05T05:01:03Z"},{"alias_kind":"pith_short_8","alias_value":"TAB556H7","created_at":"2026-07-05T05:01:03Z"}],"graph_snapshots":[{"event_id":"sha256:f8930935af9e51726d881f6551044a37b41a0909882237710c9a49161efc2a6e","target":"graph","created_at":"2026-07-05T05:01:03Z","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/2209.09248/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this first of a series of three papers we outline an approach to classifying 4d $\\mathcal{N}{=}2$ superconformal field theories at rank 2. The classification of allowed scale invariant $\\mathcal{N}=2$ Coulomb branch geometries of dimension (or rank) greater than one is a famous open problem whose solution will greatly constrain the space of $\\mathcal{N}{=}2$ superconformal field theories. At rank 2 the problem is equivalent to finding all possible genus 2 Seiberg-Witten curves and 1-forms satisfying a special K\\\"ahler condition. This is tractable because regular genus 2 Riemann surfaces can","authors_text":"Mario Martone, Philip C. Argyres","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-09-19T18:00:00Z","title":"The rank 2 classification problem I: scale invariant geometries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.09248","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":"sha256:90827decf480acae8d58007a2a32635bf33c0a7496f182996d2f8cd5f7b3d4f8","target":"record","created_at":"2026-07-05T05:01:03Z","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":"c6f20e3aba030f402ba4c1f30c03a81a497ea913ab0bf1a9b227a37665c74a78","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-09-19T18:00:00Z","title_canon_sha256":"7d25c5785b89ed56295643fe36f111c22f5a3673b6ee5b856be4692fccca546d"},"schema_version":"1.0","source":{"id":"2209.09248","kind":"arxiv","version":2}},"canonical_sha256":"9803def8ffd0fea45ecb313719c56b00607a095dac2366e70365f2bac7cc55ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9803def8ffd0fea45ecb313719c56b00607a095dac2366e70365f2bac7cc55ac","first_computed_at":"2026-07-05T05:01:03.520950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:01:03.520950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9HBRw6ho/aCjedK1CEqcBVfnrFUOE6XHAU3tw49WpduHAYaT1O/TJpLFedfVwgvJ9X6dsYTOIyIc5m6kTg6WCw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:01:03.521306Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.09248","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90827decf480acae8d58007a2a32635bf33c0a7496f182996d2f8cd5f7b3d4f8","sha256:f8930935af9e51726d881f6551044a37b41a0909882237710c9a49161efc2a6e"],"state_sha256":"6f354e643ed8810eb7a68204846123d82a7c6dbb94f8b52aa6342efaa718a038"}