{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IRPPFP23QOJ3JF3E2DO7JRSUSQ","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":"ae7239e6325b5d45a52683109e68569c8a9beacac6da933d03c3133a38b5a5b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-13T18:40:49Z","title_canon_sha256":"f2df70c23a83cefe5ad748b82bfed7203b2281f3d66c8a49b08e3cbcb0a67aeb"},"schema_version":"1.0","source":{"id":"1112.2996","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2996","created_at":"2026-05-18T01:59:10Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2996v3","created_at":"2026-05-18T01:59:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2996","created_at":"2026-05-18T01:59:10Z"},{"alias_kind":"pith_short_12","alias_value":"IRPPFP23QOJ3","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IRPPFP23QOJ3JF3E","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IRPPFP23","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:d0b39bcbfa9cf5634ccbc80dc452f44f50ba3314b0cfe398cf4f680d6c351db8","target":"graph","created_at":"2026-05-18T01:59:10Z","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":"Romelsberger's index has been argued to be an RG-invariant and, therefore, Seiberg-duality-invariant object that counts protected operators in the IR SCFT of an N=1 theory. These claims have so far passed all tests. In fact, it remains possible that this index is a perfect discriminant of duality. The investigation presented here bolsters such optimism. It is shown that the conditions of total ellipticity, which are needed for the mathematical manifestation of duality, are equivalent to the conditions ensuring non-anomalous gauge and flavor symmetries and the matching of (most) 't Hooft anomal","authors_text":"Matthew Sudano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-13T18:40:49Z","title":"The Romelsberger Index, Berkooz Deconfinement, and Infinite Families of Seiberg Duals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2996","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":"sha256:0b2449da4869965e600c7b71e02dea77ea5b0fb0906dd185bab7bd7bfe76d25e","target":"record","created_at":"2026-05-18T01:59:10Z","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":"ae7239e6325b5d45a52683109e68569c8a9beacac6da933d03c3133a38b5a5b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-13T18:40:49Z","title_canon_sha256":"f2df70c23a83cefe5ad748b82bfed7203b2281f3d66c8a49b08e3cbcb0a67aeb"},"schema_version":"1.0","source":{"id":"1112.2996","kind":"arxiv","version":3}},"canonical_sha256":"445ef2bf5b8393b49764d0ddf4c65494380d9f1cef87db4c2291abf5a379acdd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"445ef2bf5b8393b49764d0ddf4c65494380d9f1cef87db4c2291abf5a379acdd","first_computed_at":"2026-05-18T01:59:10.682638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:10.682638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"54QLXBuoeG9e1wtb6SpeAa3PPm/woaAtz70zqFBHDjOQXlWoF8Q3sHJSgveRiUTVnjtnumrWzXD4xF8A4EkpDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:10.683329Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.2996","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b2449da4869965e600c7b71e02dea77ea5b0fb0906dd185bab7bd7bfe76d25e","sha256:d0b39bcbfa9cf5634ccbc80dc452f44f50ba3314b0cfe398cf4f680d6c351db8"],"state_sha256":"2a479812d87bf03d2890299383434b05a79a2f46ff4593e2939e21daf722eef9"}