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The operator M(g) is an intertwiner for the elliptic modular double formed from a pair of Sklyanin algebras with the parameters $\\eta$ and $\\tau$, Im$ \\tau>0$, Im$\\eta>0$. For two-dimensional lattices $g=n\\eta + m\\tau/2$ and $g=1/2+n\\eta + m\\tau/2$ with incommensurate $1, 2\\eta,\\tau$ and integers $n,m>0$, the operator M(g) has a finite-dimensional kernel that consists of the products of theta functions with two different modular parameters and is invariant u"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1310.7570","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-10-28T13:05:19Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"847e150238e96f4b560d42678954a310301281482cbd25604325ef65c2f5708e","abstract_canon_sha256":"55cdbd43f4846d8eb2f26a8c00099d6dac10cd4f0478833d2994782451bec7f9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:40.096618Z","signature_b64":"SuSCH4WzVvXCSGc/gF4HAvdABK/8ygdDH27GbchAmmgUDKTpYTorZu2oD20SSTUCWvrfACg96CudoaP9V5yMDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8125e54e4fcfecc0cda9704de2111b21e1e581b8e01d335b31d0d0ff79b6aac","last_reissued_at":"2026-05-18T01:34:40.095894Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:40.095894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Finite-dimensional representations of the elliptic modular double","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"math.QA","authors_text":"S. 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