{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:KKCROM5UVD5ZGJLMHRVUPMEPZF","short_pith_number":"pith:KKCROM5U","canonical_record":{"source":{"id":"1607.06643","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-22T12:05:56Z","cross_cats_sorted":[],"title_canon_sha256":"b4fed51632df6ac5a697a6e32be7095f0dbaed53caef86dc7bae23d4359c3ebc","abstract_canon_sha256":"f171510c44cae9490eeac7db4c49f67b5637bb0e0787fef1eae14e598222fdce"},"schema_version":"1.0"},"canonical_sha256":"52851733b4a8fb93256c3c6b47b08fc975e680ab584872a5336ec9cbe9085c2a","source":{"kind":"arxiv","id":"1607.06643","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06643","created_at":"2026-05-18T00:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06643v4","created_at":"2026-05-18T00:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06643","created_at":"2026-05-18T00:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"KKCROM5UVD5Z","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KKCROM5UVD5ZGJLM","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KKCROM5U","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:KKCROM5UVD5ZGJLMHRVUPMEPZF","target":"record","payload":{"canonical_record":{"source":{"id":"1607.06643","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-22T12:05:56Z","cross_cats_sorted":[],"title_canon_sha256":"b4fed51632df6ac5a697a6e32be7095f0dbaed53caef86dc7bae23d4359c3ebc","abstract_canon_sha256":"f171510c44cae9490eeac7db4c49f67b5637bb0e0787fef1eae14e598222fdce"},"schema_version":"1.0"},"canonical_sha256":"52851733b4a8fb93256c3c6b47b08fc975e680ab584872a5336ec9cbe9085c2a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:19.987499Z","signature_b64":"MGqzEwqwzzR9K9bhl0B53Zw6Rb8OQhCpdTqtQ9GR/SCag2Mufkq3kyyLQvyW2T0pEztzVOoTqdbPaOQIwuXnDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52851733b4a8fb93256c3c6b47b08fc975e680ab584872a5336ec9cbe9085c2a","last_reissued_at":"2026-05-18T00:05:19.987021Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:19.987021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.06643","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":"2026-05-18T00:05:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JhvZRM+dX+jqZwrD3mOkJ6FuRKf0g3AeX8dWlM+iXVJDswDmqjRlZo0MCGa07Gyfl/UaRINWO7Aqf12lrT9xAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:14:27.172832Z"},"content_sha256":"771c32da0b15272c7b4e69f8a214041348564ed43f7cff214cceade8aefba646","schema_version":"1.0","event_id":"sha256:771c32da0b15272c7b4e69f8a214041348564ed43f7cff214cceade8aefba646"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:KKCROM5UVD5ZGJLMHRVUPMEPZF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Integrability of Orbifold ABJM Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"De-sheng Li, Hui-Huang Chen, Jun-Bao Wu, Nan Bai, Xiao-Chen Ding","submitted_at":"2016-07-22T12:05:56Z","abstract_excerpt":"Integrable structure has played a very important role in the study of various non-perturbative aspects of planar ABJM theories. In this paper we showed that this remarkable structure survive after orbifold operation with discrete group $\\Gamma(\\simeq\\mathbb{Z}_n)<SU(4)_R\\times U(1)_b$. For general $\\Gamma$, we prove the integrability in the scalar sector at the planar two-loop order and get the Bethe ansatz equations. The eigenvalues of the anomalous dimension matrix are also obtained. For $\\Gamma<SU(4)$, two-loop all-sector and all-loop BAEs are proposed. Supersymmetric orbifolds are discusse"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06643","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":""},"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":"2026-05-18T00:05:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0sC8fiXxahRZIJk7zodcVrgkZHsoL9wuylgzUyL5u4oPsZcteXWgVMKBzMBHv8s7EsUjzPDnt+9Ea+J7ovHHBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:14:27.173182Z"},"content_sha256":"06e7ac0a5f970f27b4f49e7648260679209d2904b473fcbb0dce27297cb85dbc","schema_version":"1.0","event_id":"sha256:06e7ac0a5f970f27b4f49e7648260679209d2904b473fcbb0dce27297cb85dbc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KKCROM5UVD5ZGJLMHRVUPMEPZF/bundle.json","state_url":"https://pith.science/pith/KKCROM5UVD5ZGJLMHRVUPMEPZF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KKCROM5UVD5ZGJLMHRVUPMEPZF/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":"2026-06-02T11:14:27Z","links":{"resolver":"https://pith.science/pith/KKCROM5UVD5ZGJLMHRVUPMEPZF","bundle":"https://pith.science/pith/KKCROM5UVD5ZGJLMHRVUPMEPZF/bundle.json","state":"https://pith.science/pith/KKCROM5UVD5ZGJLMHRVUPMEPZF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KKCROM5UVD5ZGJLMHRVUPMEPZF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KKCROM5UVD5ZGJLMHRVUPMEPZF","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":"f171510c44cae9490eeac7db4c49f67b5637bb0e0787fef1eae14e598222fdce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-22T12:05:56Z","title_canon_sha256":"b4fed51632df6ac5a697a6e32be7095f0dbaed53caef86dc7bae23d4359c3ebc"},"schema_version":"1.0","source":{"id":"1607.06643","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06643","created_at":"2026-05-18T00:05:19Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06643v4","created_at":"2026-05-18T00:05:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06643","created_at":"2026-05-18T00:05:19Z"},{"alias_kind":"pith_short_12","alias_value":"KKCROM5UVD5Z","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KKCROM5UVD5ZGJLM","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KKCROM5U","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:06e7ac0a5f970f27b4f49e7648260679209d2904b473fcbb0dce27297cb85dbc","target":"graph","created_at":"2026-05-18T00:05:19Z","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":"Integrable structure has played a very important role in the study of various non-perturbative aspects of planar ABJM theories. In this paper we showed that this remarkable structure survive after orbifold operation with discrete group $\\Gamma(\\simeq\\mathbb{Z}_n)<SU(4)_R\\times U(1)_b$. For general $\\Gamma$, we prove the integrability in the scalar sector at the planar two-loop order and get the Bethe ansatz equations. The eigenvalues of the anomalous dimension matrix are also obtained. For $\\Gamma<SU(4)$, two-loop all-sector and all-loop BAEs are proposed. Supersymmetric orbifolds are discusse","authors_text":"De-sheng Li, Hui-Huang Chen, Jun-Bao Wu, Nan Bai, Xiao-Chen Ding","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-22T12:05:56Z","title":"Integrability of Orbifold ABJM Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06643","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":"sha256:771c32da0b15272c7b4e69f8a214041348564ed43f7cff214cceade8aefba646","target":"record","created_at":"2026-05-18T00:05:19Z","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":"f171510c44cae9490eeac7db4c49f67b5637bb0e0787fef1eae14e598222fdce","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-22T12:05:56Z","title_canon_sha256":"b4fed51632df6ac5a697a6e32be7095f0dbaed53caef86dc7bae23d4359c3ebc"},"schema_version":"1.0","source":{"id":"1607.06643","kind":"arxiv","version":4}},"canonical_sha256":"52851733b4a8fb93256c3c6b47b08fc975e680ab584872a5336ec9cbe9085c2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52851733b4a8fb93256c3c6b47b08fc975e680ab584872a5336ec9cbe9085c2a","first_computed_at":"2026-05-18T00:05:19.987021Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:19.987021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MGqzEwqwzzR9K9bhl0B53Zw6Rb8OQhCpdTqtQ9GR/SCag2Mufkq3kyyLQvyW2T0pEztzVOoTqdbPaOQIwuXnDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:19.987499Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.06643","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:771c32da0b15272c7b4e69f8a214041348564ed43f7cff214cceade8aefba646","sha256:06e7ac0a5f970f27b4f49e7648260679209d2904b473fcbb0dce27297cb85dbc"],"state_sha256":"ea5191270dfca1dc56237e5a5d178475795f34942c68a3365048ce4ba514d658"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j9/g0COgnKoJVM1N98jWZHPdYaMzf5ez39cLm6arnCXmhbGqE08ytO5NZOqH+eJN7e2mdlnThGgoYzPZjoOeCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T11:14:27.175138Z","bundle_sha256":"db6584f1bcf949cb5a09b52aeb89df3183ef67caf4804bf6ac751ec0985ebac8"}}