{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:IISXIM6TKSHL6BGA4ZKM6UYCAK","short_pith_number":"pith:IISXIM6T","canonical_record":{"source":{"id":"1212.3952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-17T10:28:45Z","cross_cats_sorted":[],"title_canon_sha256":"81689751e649390bef151d612a54709ed17d83ab705554d37f3bf657f91e6acc","abstract_canon_sha256":"e543d63f9e11edd6083549c9964b052a8ed58f72213a86145b2cef1881cef433"},"schema_version":"1.0"},"canonical_sha256":"42257433d3548ebf04c0e654cf530202a28a0dc3f77526c105c3bc251e47ca67","source":{"kind":"arxiv","id":"1212.3952","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3952","created_at":"2026-05-18T03:38:21Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3952v1","created_at":"2026-05-18T03:38:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3952","created_at":"2026-05-18T03:38:21Z"},{"alias_kind":"pith_short_12","alias_value":"IISXIM6TKSHL","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IISXIM6TKSHL6BGA","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IISXIM6T","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:IISXIM6TKSHL6BGA4ZKM6UYCAK","target":"record","payload":{"canonical_record":{"source":{"id":"1212.3952","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-17T10:28:45Z","cross_cats_sorted":[],"title_canon_sha256":"81689751e649390bef151d612a54709ed17d83ab705554d37f3bf657f91e6acc","abstract_canon_sha256":"e543d63f9e11edd6083549c9964b052a8ed58f72213a86145b2cef1881cef433"},"schema_version":"1.0"},"canonical_sha256":"42257433d3548ebf04c0e654cf530202a28a0dc3f77526c105c3bc251e47ca67","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:21.940285Z","signature_b64":"RStP7/eU4RhX75smApIcUrI3RmPpyWJzYUCa6wfF+zX9ueVPxyLwAsRCPMCgmks8Kpt+KsHvzPzNeXzJhOYiAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42257433d3548ebf04c0e654cf530202a28a0dc3f77526c105c3bc251e47ca67","last_reissued_at":"2026-05-18T03:38:21.939756Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:21.939756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.3952","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:38:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"moaSvCkPfxXRVuyS1/GNf1TMjuPoW0pBf79hTE3YAd6eArRvyXF3U97n5qDAyDVtBA52h/+WEUDUV99YpdnZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:18:04.964937Z"},"content_sha256":"a1af91b184374cf5955277e3de0816a33ebb855b0bf07f0cb99fbde4292d72a9","schema_version":"1.0","event_id":"sha256:a1af91b184374cf5955277e3de0816a33ebb855b0bf07f0cb99fbde4292d72a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:IISXIM6TKSHL6BGA4ZKM6UYCAK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gaiotto Duality for the Twisted A_{2N-1} Series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jacques Distler, Oscar Chacaltana, Yuji Tachikawa","submitted_at":"2012-12-17T10:28:45Z","abstract_excerpt":"We study 4D N=2 superconformal theories that arise from the compactification of 6D N=(2,0) theories of type A_{2N-1} on a Riemann surface C, in the presence of punctures twisted by a Z_2 outer automorphism. We describe how to do a complete classification of these SCFTs in terms of three-punctured spheres and cylinders, which we do explicitly for A_3, and provide tables of properties of twisted defects up through A_9. We find atypical degenerations of Riemann surfaces that do not lead to weakly-coupled gauge groups, but to a gauge coupling pinned at a point in the interior of moduli space.\n  As"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3952","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:38:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6qBvQBMtNPFGoE5cABNWNzZU+YED5zxmsC16RGf72QFd3nXCy67FZHsS8b+1abQyM9WzaHFrg+yvWoXyFCCuBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:18:04.965276Z"},"content_sha256":"bfc866984c955f1b99cc14415e5a073a0898e4f2f2c4fbe9188e940925dff197","schema_version":"1.0","event_id":"sha256:bfc866984c955f1b99cc14415e5a073a0898e4f2f2c4fbe9188e940925dff197"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IISXIM6TKSHL6BGA4ZKM6UYCAK/bundle.json","state_url":"https://pith.science/pith/IISXIM6TKSHL6BGA4ZKM6UYCAK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IISXIM6TKSHL6BGA4ZKM6UYCAK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T03:18:04Z","links":{"resolver":"https://pith.science/pith/IISXIM6TKSHL6BGA4ZKM6UYCAK","bundle":"https://pith.science/pith/IISXIM6TKSHL6BGA4ZKM6UYCAK/bundle.json","state":"https://pith.science/pith/IISXIM6TKSHL6BGA4ZKM6UYCAK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IISXIM6TKSHL6BGA4ZKM6UYCAK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IISXIM6TKSHL6BGA4ZKM6UYCAK","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":"e543d63f9e11edd6083549c9964b052a8ed58f72213a86145b2cef1881cef433","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-17T10:28:45Z","title_canon_sha256":"81689751e649390bef151d612a54709ed17d83ab705554d37f3bf657f91e6acc"},"schema_version":"1.0","source":{"id":"1212.3952","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3952","created_at":"2026-05-18T03:38:21Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3952v1","created_at":"2026-05-18T03:38:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3952","created_at":"2026-05-18T03:38:21Z"},{"alias_kind":"pith_short_12","alias_value":"IISXIM6TKSHL","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IISXIM6TKSHL6BGA","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IISXIM6T","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:bfc866984c955f1b99cc14415e5a073a0898e4f2f2c4fbe9188e940925dff197","target":"graph","created_at":"2026-05-18T03:38:21Z","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 study 4D N=2 superconformal theories that arise from the compactification of 6D N=(2,0) theories of type A_{2N-1} on a Riemann surface C, in the presence of punctures twisted by a Z_2 outer automorphism. We describe how to do a complete classification of these SCFTs in terms of three-punctured spheres and cylinders, which we do explicitly for A_3, and provide tables of properties of twisted defects up through A_9. We find atypical degenerations of Riemann surfaces that do not lead to weakly-coupled gauge groups, but to a gauge coupling pinned at a point in the interior of moduli space.\n  As","authors_text":"Jacques Distler, Oscar Chacaltana, Yuji Tachikawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-17T10:28:45Z","title":"Gaiotto Duality for the Twisted A_{2N-1} Series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3952","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:a1af91b184374cf5955277e3de0816a33ebb855b0bf07f0cb99fbde4292d72a9","target":"record","created_at":"2026-05-18T03:38:21Z","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":"e543d63f9e11edd6083549c9964b052a8ed58f72213a86145b2cef1881cef433","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-17T10:28:45Z","title_canon_sha256":"81689751e649390bef151d612a54709ed17d83ab705554d37f3bf657f91e6acc"},"schema_version":"1.0","source":{"id":"1212.3952","kind":"arxiv","version":1}},"canonical_sha256":"42257433d3548ebf04c0e654cf530202a28a0dc3f77526c105c3bc251e47ca67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42257433d3548ebf04c0e654cf530202a28a0dc3f77526c105c3bc251e47ca67","first_computed_at":"2026-05-18T03:38:21.939756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:21.939756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RStP7/eU4RhX75smApIcUrI3RmPpyWJzYUCa6wfF+zX9ueVPxyLwAsRCPMCgmks8Kpt+KsHvzPzNeXzJhOYiAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:21.940285Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.3952","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1af91b184374cf5955277e3de0816a33ebb855b0bf07f0cb99fbde4292d72a9","sha256:bfc866984c955f1b99cc14415e5a073a0898e4f2f2c4fbe9188e940925dff197"],"state_sha256":"1ed0f6169b3b91c7580313f3241afa21c63bfab15ee0b1ef52daffcc9dbcf7a2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+pgcRycXhgaET3vMV5ljahQ+WeS8v9xTmnVWR/x0XatlraTW2/9IBE+eXpBturHUec8vyrL4Q8LxI7sCwTwjCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:18:04.967164Z","bundle_sha256":"b18fd18e060c22410070eeebfb8fdc855ef0199aefff0a3a8e311e641ce1a2b4"}}