{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:GN7DU5MMGIXDDV4LXMVULHP4OP","short_pith_number":"pith:GN7DU5MM","schema_version":"1.0","canonical_sha256":"337e3a758c322e31d78bbb2b459dfc73f6e5f9dcbe956463b9229e819fe634eb","source":{"kind":"arxiv","id":"math/0311161","version":1},"attestation_state":"computed","paper":{"title":"Noncommutative Geometry of Super-Jordanian $OSp_h(2/1)$ Covariant Quantum Space","license":"","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"N. Aizawa, R. Chakrabarti","submitted_at":"2003-11-11T15:01:42Z","abstract_excerpt":"Extending a recently proposed procedure of construction of various elements of diffential geometry on noncommutative algebras, we obtain these structures on noncommutative superalgebras. As an example, a quantum superspace covariant under the action of super-Jordanian $OSp_h(2/1)$ is studied. It is shown that there exist a two paramater family of torsionless connections, and the curvature computed from this family of connections is bilinear. It is also shown that the connections are not compatible with the metric."},"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":"math/0311161","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2003-11-11T15:01:42Z","cross_cats_sorted":[],"title_canon_sha256":"6dc6021fc6be8587370ef4dae246b137706693f9f9c5ae67997173aa9ab892c1","abstract_canon_sha256":"1dff57b6e48620a7249753ef4db13d2268368afd17662475af2ac4a69a45adc3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:47:50.842498Z","signature_b64":"e6L9THHq0a7xdhcbBUCpRL6/4FJP1pmZYMfHPimsQTBKGNalOx7L1FJa0o/yAwv0uRUl09oQKj6nxYiGHx59AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"337e3a758c322e31d78bbb2b459dfc73f6e5f9dcbe956463b9229e819fe634eb","last_reissued_at":"2026-07-04T14:47:50.842125Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:47:50.842125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Noncommutative Geometry of Super-Jordanian $OSp_h(2/1)$ Covariant Quantum Space","license":"","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"N. Aizawa, R. Chakrabarti","submitted_at":"2003-11-11T15:01:42Z","abstract_excerpt":"Extending a recently proposed procedure of construction of various elements of diffential geometry on noncommutative algebras, we obtain these structures on noncommutative superalgebras. As an example, a quantum superspace covariant under the action of super-Jordanian $OSp_h(2/1)$ is studied. It is shown that there exist a two paramater family of torsionless connections, and the curvature computed from this family of connections is bilinear. It is also shown that the connections are not compatible with the metric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0311161","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/math/0311161/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":"math/0311161","created_at":"2026-07-04T14:47:50.842179+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0311161v1","created_at":"2026-07-04T14:47:50.842179+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0311161","created_at":"2026-07-04T14:47:50.842179+00:00"},{"alias_kind":"pith_short_12","alias_value":"GN7DU5MMGIXD","created_at":"2026-07-04T14:47:50.842179+00:00"},{"alias_kind":"pith_short_16","alias_value":"GN7DU5MMGIXDDV4L","created_at":"2026-07-04T14:47:50.842179+00:00"},{"alias_kind":"pith_short_8","alias_value":"GN7DU5MM","created_at":"2026-07-04T14:47:50.842179+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/GN7DU5MMGIXDDV4LXMVULHP4OP","json":"https://pith.science/pith/GN7DU5MMGIXDDV4LXMVULHP4OP.json","graph_json":"https://pith.science/api/pith-number/GN7DU5MMGIXDDV4LXMVULHP4OP/graph.json","events_json":"https://pith.science/api/pith-number/GN7DU5MMGIXDDV4LXMVULHP4OP/events.json","paper":"https://pith.science/paper/GN7DU5MM"},"agent_actions":{"view_html":"https://pith.science/pith/GN7DU5MMGIXDDV4LXMVULHP4OP","download_json":"https://pith.science/pith/GN7DU5MMGIXDDV4LXMVULHP4OP.json","view_paper":"https://pith.science/paper/GN7DU5MM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0311161&json=true","fetch_graph":"https://pith.science/api/pith-number/GN7DU5MMGIXDDV4LXMVULHP4OP/graph.json","fetch_events":"https://pith.science/api/pith-number/GN7DU5MMGIXDDV4LXMVULHP4OP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GN7DU5MMGIXDDV4LXMVULHP4OP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GN7DU5MMGIXDDV4LXMVULHP4OP/action/storage_attestation","attest_author":"https://pith.science/pith/GN7DU5MMGIXDDV4LXMVULHP4OP/action/author_attestation","sign_citation":"https://pith.science/pith/GN7DU5MMGIXDDV4LXMVULHP4OP/action/citation_signature","submit_replication":"https://pith.science/pith/GN7DU5MMGIXDDV4LXMVULHP4OP/action/replication_record"}},"created_at":"2026-07-04T14:47:50.842179+00:00","updated_at":"2026-07-04T14:47:50.842179+00:00"}