{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:VQZ3OAK7ZZL2VZ4YJ76UGXF7HB","short_pith_number":"pith:VQZ3OAK7","canonical_record":{"source":{"id":"2211.13561","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-24T12:23:44Z","cross_cats_sorted":[],"title_canon_sha256":"90e22c83790a3d41c0d010e6fb69440076dc7560d2aa90db01ab176111c95d6f","abstract_canon_sha256":"0a39c1fd29e8cb2402ae2ffade934dd1c2e05fc8da85f9cdbb0b6a68cdf7629c"},"schema_version":"1.0"},"canonical_sha256":"ac33b7015fce57aae7984ffd435cbf386a8b520021a541163625cf59947783ed","source":{"kind":"arxiv","id":"2211.13561","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.13561","created_at":"2026-07-05T06:00:14Z"},{"alias_kind":"arxiv_version","alias_value":"2211.13561v4","created_at":"2026-07-05T06:00:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.13561","created_at":"2026-07-05T06:00:14Z"},{"alias_kind":"pith_short_12","alias_value":"VQZ3OAK7ZZL2","created_at":"2026-07-05T06:00:14Z"},{"alias_kind":"pith_short_16","alias_value":"VQZ3OAK7ZZL2VZ4Y","created_at":"2026-07-05T06:00:14Z"},{"alias_kind":"pith_short_8","alias_value":"VQZ3OAK7","created_at":"2026-07-05T06:00:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:VQZ3OAK7ZZL2VZ4YJ76UGXF7HB","target":"record","payload":{"canonical_record":{"source":{"id":"2211.13561","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-24T12:23:44Z","cross_cats_sorted":[],"title_canon_sha256":"90e22c83790a3d41c0d010e6fb69440076dc7560d2aa90db01ab176111c95d6f","abstract_canon_sha256":"0a39c1fd29e8cb2402ae2ffade934dd1c2e05fc8da85f9cdbb0b6a68cdf7629c"},"schema_version":"1.0"},"canonical_sha256":"ac33b7015fce57aae7984ffd435cbf386a8b520021a541163625cf59947783ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:00:14.642785Z","signature_b64":"hutar721/IeAAF2Qlf79RChF9o57MU7LfoRJIleOo+U5730U/iVUQNQqKCjf0voQasCaXKl3dr7H6FD6R++PAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac33b7015fce57aae7984ffd435cbf386a8b520021a541163625cf59947783ed","last_reissued_at":"2026-07-05T06:00:14.642264Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:00:14.642264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2211.13561","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:00:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xkTw+Ps7NuxgyTx1BUuNiIjy37VAdnJZLjdglg4jNrMCVSH+TyEyzVcDvJQguY5R0S1BCXGjA/aNO+joyNRcCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T01:25:24.190109Z"},"content_sha256":"60cacd72d0d406400829b66a5f3ff60de59f4472fb48960ed1a6dea5222744f9","schema_version":"1.0","event_id":"sha256:60cacd72d0d406400829b66a5f3ff60de59f4472fb48960ed1a6dea5222744f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:VQZ3OAK7ZZL2VZ4YJ76UGXF7HB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized non-unitary Haagerup-Izumi modular data from 3D S-fold SCFTs","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dongmin Gang, Dongyeob Kim","submitted_at":"2022-11-24T12:23:44Z","abstract_excerpt":"By applying the recently proposed (3D rank-0 $\\mathcal{N}$=4 SCFT)/(non-unitary TQFTs) correspondence to S-fold SCFTs, we construct an exotic class of non-unitary TQFTs labelled by an integer $k\\geq 3$. The SCFTs are obtained by gauging diagonal $SU(2)$ subgroup of $T[SU(2)]$ theory with Chern-Simons level $k$. We give the explicit expression for modular data, $S$ and $T$ matrices, of the TQFTs. When $k=4m^2+4m+3$ with an integer $m\\geq 1$, the modular data (modulo a decoupled semion) is identical to a non-unitary Haagerup-Izumi modular data. Thus, we give a physical realization of the exotic "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.13561","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2211.13561/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:00:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MLp2uSR/kWYumP3eOlAhzdqyjG41XKrx4o8vOYXM6fRyCd8Hc0iuB2q74yY0VHpndUx9h6XYd3GtiJIGjWL1Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T01:25:24.191204Z"},"content_sha256":"7f4c29349932565eacb78d5d7177960ba18883ae6502737c83b59b01e7182c7f","schema_version":"1.0","event_id":"sha256:7f4c29349932565eacb78d5d7177960ba18883ae6502737c83b59b01e7182c7f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VQZ3OAK7ZZL2VZ4YJ76UGXF7HB/bundle.json","state_url":"https://pith.science/pith/VQZ3OAK7ZZL2VZ4YJ76UGXF7HB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VQZ3OAK7ZZL2VZ4YJ76UGXF7HB/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":"2026-08-18T01:25:24Z","links":{"resolver":"https://pith.science/pith/VQZ3OAK7ZZL2VZ4YJ76UGXF7HB","bundle":"https://pith.science/pith/VQZ3OAK7ZZL2VZ4YJ76UGXF7HB/bundle.json","state":"https://pith.science/pith/VQZ3OAK7ZZL2VZ4YJ76UGXF7HB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VQZ3OAK7ZZL2VZ4YJ76UGXF7HB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:VQZ3OAK7ZZL2VZ4YJ76UGXF7HB","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":"0a39c1fd29e8cb2402ae2ffade934dd1c2e05fc8da85f9cdbb0b6a68cdf7629c","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-24T12:23:44Z","title_canon_sha256":"90e22c83790a3d41c0d010e6fb69440076dc7560d2aa90db01ab176111c95d6f"},"schema_version":"1.0","source":{"id":"2211.13561","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2211.13561","created_at":"2026-07-05T06:00:14Z"},{"alias_kind":"arxiv_version","alias_value":"2211.13561v4","created_at":"2026-07-05T06:00:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2211.13561","created_at":"2026-07-05T06:00:14Z"},{"alias_kind":"pith_short_12","alias_value":"VQZ3OAK7ZZL2","created_at":"2026-07-05T06:00:14Z"},{"alias_kind":"pith_short_16","alias_value":"VQZ3OAK7ZZL2VZ4Y","created_at":"2026-07-05T06:00:14Z"},{"alias_kind":"pith_short_8","alias_value":"VQZ3OAK7","created_at":"2026-07-05T06:00:14Z"}],"graph_snapshots":[{"event_id":"sha256:7f4c29349932565eacb78d5d7177960ba18883ae6502737c83b59b01e7182c7f","target":"graph","created_at":"2026-07-05T06:00:14Z","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/2211.13561/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"By applying the recently proposed (3D rank-0 $\\mathcal{N}$=4 SCFT)/(non-unitary TQFTs) correspondence to S-fold SCFTs, we construct an exotic class of non-unitary TQFTs labelled by an integer $k\\geq 3$. The SCFTs are obtained by gauging diagonal $SU(2)$ subgroup of $T[SU(2)]$ theory with Chern-Simons level $k$. We give the explicit expression for modular data, $S$ and $T$ matrices, of the TQFTs. When $k=4m^2+4m+3$ with an integer $m\\geq 1$, the modular data (modulo a decoupled semion) is identical to a non-unitary Haagerup-Izumi modular data. Thus, we give a physical realization of the exotic ","authors_text":"Dongmin Gang, Dongyeob Kim","cross_cats":[],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-24T12:23:44Z","title":"Generalized non-unitary Haagerup-Izumi modular data from 3D S-fold SCFTs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2211.13561","kind":"arxiv","version":4},"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":"sha256:60cacd72d0d406400829b66a5f3ff60de59f4472fb48960ed1a6dea5222744f9","target":"record","created_at":"2026-07-05T06:00:14Z","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":"0a39c1fd29e8cb2402ae2ffade934dd1c2e05fc8da85f9cdbb0b6a68cdf7629c","cross_cats_sorted":[],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2022-11-24T12:23:44Z","title_canon_sha256":"90e22c83790a3d41c0d010e6fb69440076dc7560d2aa90db01ab176111c95d6f"},"schema_version":"1.0","source":{"id":"2211.13561","kind":"arxiv","version":4}},"canonical_sha256":"ac33b7015fce57aae7984ffd435cbf386a8b520021a541163625cf59947783ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac33b7015fce57aae7984ffd435cbf386a8b520021a541163625cf59947783ed","first_computed_at":"2026-07-05T06:00:14.642264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:00:14.642264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hutar721/IeAAF2Qlf79RChF9o57MU7LfoRJIleOo+U5730U/iVUQNQqKCjf0voQasCaXKl3dr7H6FD6R++PAw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:00:14.642785Z","signed_message":"canonical_sha256_bytes"},"source_id":"2211.13561","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60cacd72d0d406400829b66a5f3ff60de59f4472fb48960ed1a6dea5222744f9","sha256:7f4c29349932565eacb78d5d7177960ba18883ae6502737c83b59b01e7182c7f"],"state_sha256":"004d7942478a86234ecddf67a239e90625766866ba1b9e5e83a8b62dce818a14"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0oVvYbellSEe/RbD5F2+Pd4ajGuE8upfGudl0Y6S97j2v3+/BGECJ/iP8fmrHG7NfpGDjCu8p38U9Au9ragHBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T01:25:24.196929Z","bundle_sha256":"d7bbaf9a4f0b630e71390111a5ec2a02aeabe127ef26293717d050f621aeec2b"}}