{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BX2LH5DUMNPFHIXDF2JRO6WF2Z","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":"26d4d948ed3d0e2d473dbb342d3af2b3733510ffb663b3babbe4f9c7faf6d86f","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-21T14:26:08Z","title_canon_sha256":"217f032832d57d4fa83c8aef821245ffffe28d333312eec3fa5d10461611019f"},"schema_version":"1.0","source":{"id":"1604.06321","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06321","created_at":"2026-05-18T01:12:22Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06321v2","created_at":"2026-05-18T01:12:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06321","created_at":"2026-05-18T01:12:22Z"},{"alias_kind":"pith_short_12","alias_value":"BX2LH5DUMNPF","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"BX2LH5DUMNPFHIXD","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"BX2LH5DU","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:f60bd8985bee8a55f51b6bdfd3643c9a6b6e89a992b7322d81fc40213ed647a9","target":"graph","created_at":"2026-05-18T01:12:22Z","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 give explicit analytical expressions for the partition function of $U(N)_{k}\\times U(N+M)_{-k}$ ABJ theory at weak coupling ($k\\rightarrow \\infty )$ for finite and arbitrary values of $N$ and $M$ (including the ABJM case and its mass-deformed generalization). We obtain the expressions by identifying the one-matrix model formulation with a Meixner-Pollaczek ensemble and using the corresponding orthogonal polynomials, which are also eigenfunctions of a $su(1,1)$ quantum oscillator. Wilson loops in mass-deformed ABJM are also studied in the same limit and interpreted in terms of $su(1,1)$ cohe","authors_text":"Miguel Tierz","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-21T14:26:08Z","title":"Mass-deformed ABJ and ABJM theory, Meixner-Pollaczek polynomials, and $su(1,1)$ oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06321","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":"sha256:836963076f595a8a1188f7086d436b52f198557a5bb14e6709e08785d32a7e0f","target":"record","created_at":"2026-05-18T01:12:22Z","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":"26d4d948ed3d0e2d473dbb342d3af2b3733510ffb663b3babbe4f9c7faf6d86f","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-21T14:26:08Z","title_canon_sha256":"217f032832d57d4fa83c8aef821245ffffe28d333312eec3fa5d10461611019f"},"schema_version":"1.0","source":{"id":"1604.06321","kind":"arxiv","version":2}},"canonical_sha256":"0df4b3f474635e53a2e32e93177ac5d65d7816a8304e1b6ea3952cb6e98e9880","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0df4b3f474635e53a2e32e93177ac5d65d7816a8304e1b6ea3952cb6e98e9880","first_computed_at":"2026-05-18T01:12:22.460802Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:22.460802Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iC3wTg+qivkYsBnbsl1wQpdFf0RuF/CBIvIC/Gp6TqhF4ed8RgSUJeDVHbHJ22zqJ08Znq7uTLZdWu69SIS8Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:22.461152Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06321","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:836963076f595a8a1188f7086d436b52f198557a5bb14e6709e08785d32a7e0f","sha256:f60bd8985bee8a55f51b6bdfd3643c9a6b6e89a992b7322d81fc40213ed647a9"],"state_sha256":"e492116b501d45feb52963e4c626d8874b84b0ce3858249b409e948467f90375"}