{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1994:4ATK4MFWORBR2R65G7HDOP2KV7","short_pith_number":"pith:4ATK4MFW","schema_version":"1.0","canonical_sha256":"e026ae30b674431d47dd37ce373f4aafeaf01abadb658225960285c466338037","source":{"kind":"arxiv","id":"hep-th/9403140","version":1},"attestation_state":"computed","paper":{"title":"Isomorphisms between Quantum Group Covariant q-Oscillator Systems Defined for q and 1/q","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"N. Aizawa","submitted_at":"1994-03-23T11:29:22Z","abstract_excerpt":"It is shown that there exists an isomorphism between q-oscillator systems covariant under $ SU_q(n) $ and $ SU_{q^{-1}}(n) $. By the isomorphism, the defining relations of $ SU_{q^{-1}}(n) $ covariant q-oscillator system are transmuted into those of $ SU_q(n) $. It is also shown that the similar isomorphism exists for the system of q-oscillators covariant under the quantum supergroup $ SU_q(n/m) $. Furthermore the cases of q-deformed Lie (super)algebras constructed from covariant q-oscillator systems are considered. The isomorphisms between q-deformed Lie (super)algebras can not obtained by th"},"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":"hep-th/9403140","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1994-03-23T11:29:22Z","cross_cats_sorted":[],"title_canon_sha256":"1fc0ec3e17b35622206653c76a8d07800390c72c161c57bc2b001f7fae7fa78f","abstract_canon_sha256":"150aa690c3621fee4c8b9bb307bfca89705e9edfea621c3e19d53d7ee46e8275"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:57:43.057184Z","signature_b64":"k9M8vDhoZyvjB+Vfoe3pKyX2+YMVl/DAgasg20x9wpHU5VzofVGTdqiuqcIv7e5K9L9lZF46wggIDvHfwAfGDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e026ae30b674431d47dd37ce373f4aafeaf01abadb658225960285c466338037","last_reissued_at":"2026-07-04T15:57:43.056781Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:57:43.056781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Isomorphisms between Quantum Group Covariant q-Oscillator Systems Defined for q and 1/q","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"N. Aizawa","submitted_at":"1994-03-23T11:29:22Z","abstract_excerpt":"It is shown that there exists an isomorphism between q-oscillator systems covariant under $ SU_q(n) $ and $ SU_{q^{-1}}(n) $. By the isomorphism, the defining relations of $ SU_{q^{-1}}(n) $ covariant q-oscillator system are transmuted into those of $ SU_q(n) $. It is also shown that the similar isomorphism exists for the system of q-oscillators covariant under the quantum supergroup $ SU_q(n/m) $. Furthermore the cases of q-deformed Lie (super)algebras constructed from covariant q-oscillator systems are considered. The isomorphisms between q-deformed Lie (super)algebras can not obtained by th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9403140","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9403140/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9403140","created_at":"2026-07-04T15:57:43.056839+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9403140v1","created_at":"2026-07-04T15:57:43.056839+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9403140","created_at":"2026-07-04T15:57:43.056839+00:00"},{"alias_kind":"pith_short_12","alias_value":"4ATK4MFWORBR","created_at":"2026-07-04T15:57:43.056839+00:00"},{"alias_kind":"pith_short_16","alias_value":"4ATK4MFWORBR2R65","created_at":"2026-07-04T15:57:43.056839+00:00"},{"alias_kind":"pith_short_8","alias_value":"4ATK4MFW","created_at":"2026-07-04T15:57:43.056839+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4ATK4MFWORBR2R65G7HDOP2KV7","json":"https://pith.science/pith/4ATK4MFWORBR2R65G7HDOP2KV7.json","graph_json":"https://pith.science/api/pith-number/4ATK4MFWORBR2R65G7HDOP2KV7/graph.json","events_json":"https://pith.science/api/pith-number/4ATK4MFWORBR2R65G7HDOP2KV7/events.json","paper":"https://pith.science/paper/4ATK4MFW"},"agent_actions":{"view_html":"https://pith.science/pith/4ATK4MFWORBR2R65G7HDOP2KV7","download_json":"https://pith.science/pith/4ATK4MFWORBR2R65G7HDOP2KV7.json","view_paper":"https://pith.science/paper/4ATK4MFW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9403140&json=true","fetch_graph":"https://pith.science/api/pith-number/4ATK4MFWORBR2R65G7HDOP2KV7/graph.json","fetch_events":"https://pith.science/api/pith-number/4ATK4MFWORBR2R65G7HDOP2KV7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4ATK4MFWORBR2R65G7HDOP2KV7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4ATK4MFWORBR2R65G7HDOP2KV7/action/storage_attestation","attest_author":"https://pith.science/pith/4ATK4MFWORBR2R65G7HDOP2KV7/action/author_attestation","sign_citation":"https://pith.science/pith/4ATK4MFWORBR2R65G7HDOP2KV7/action/citation_signature","submit_replication":"https://pith.science/pith/4ATK4MFWORBR2R65G7HDOP2KV7/action/replication_record"}},"created_at":"2026-07-04T15:57:43.056839+00:00","updated_at":"2026-07-04T15:57:43.056839+00:00"}