{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:CPQANCQ2RYAURH2GDPQUVDOEPV","short_pith_number":"pith:CPQANCQ2","schema_version":"1.0","canonical_sha256":"13e0068a1a8e01489f461be14a8dc47d4f7b5cf981178511c328792e876042ed","source":{"kind":"arxiv","id":"hep-th/0108096","version":2},"attestation_state":"computed","paper":{"title":"NC Branes and Hierarchies in Quantum Hall Fluids","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.El Rhalami, E.H.Saidi, E.M. Sahraoui","submitted_at":"2001-08-14T12:38:27Z","abstract_excerpt":"We develop the non commutative Chern-Simons gauge model analysis modeling the description of the hierarchical states of fractional quantum Hall fluids. For a generic level $n$ of the hierarchy, we show that the order parameter matrix $K_{ab}$ is given by $ \\theta^{-2}Tr(\\tau_a \\tau_b)$, where $\\{\\tau_a, 1\\leq a \\leq n \\}$ define a specific set of $n\\times n$ matrices depending on the parameter $\\theta$ and the levels $l_a$ of the CS effective field theory. Our analysis predicts the existence of a third order tensor of order parameters $C_{abc}$ induced by the external magnetic field. It is sho"},"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/0108096","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-08-14T12:38:27Z","cross_cats_sorted":[],"title_canon_sha256":"9da5aef49080d4b98b439dd6ce9f5f8d69a5619a51a23565a926bf902deef13d","abstract_canon_sha256":"d96b8c3a814b7b7e756bbfe824549cb1202388f7a215217d151f2970573994a4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:11.676662Z","signature_b64":"lQmPmDm6raZ42VmtPVupX43zFkEicNBcM//OUmCwM6Xy2JakuuIGkhdf3OLwrSHjO/5KZKtftdMGf27GY3DyDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13e0068a1a8e01489f461be14a8dc47d4f7b5cf981178511c328792e876042ed","last_reissued_at":"2026-05-18T02:36:11.676012Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:11.676012Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"NC Branes and Hierarchies in Quantum Hall Fluids","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.El Rhalami, E.H.Saidi, E.M. Sahraoui","submitted_at":"2001-08-14T12:38:27Z","abstract_excerpt":"We develop the non commutative Chern-Simons gauge model analysis modeling the description of the hierarchical states of fractional quantum Hall fluids. For a generic level $n$ of the hierarchy, we show that the order parameter matrix $K_{ab}$ is given by $ \\theta^{-2}Tr(\\tau_a \\tau_b)$, where $\\{\\tau_a, 1\\leq a \\leq n \\}$ define a specific set of $n\\times n$ matrices depending on the parameter $\\theta$ and the levels $l_a$ of the CS effective field theory. Our analysis predicts the existence of a third order tensor of order parameters $C_{abc}$ induced by the external magnetic field. It is sho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0108096","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0108096","created_at":"2026-05-18T02:36:11.676113+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0108096v2","created_at":"2026-05-18T02:36:11.676113+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0108096","created_at":"2026-05-18T02:36:11.676113+00:00"},{"alias_kind":"pith_short_12","alias_value":"CPQANCQ2RYAU","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_16","alias_value":"CPQANCQ2RYAURH2G","created_at":"2026-05-18T12:25:50.254431+00:00"},{"alias_kind":"pith_short_8","alias_value":"CPQANCQ2","created_at":"2026-05-18T12:25:50.254431+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/CPQANCQ2RYAURH2GDPQUVDOEPV","json":"https://pith.science/pith/CPQANCQ2RYAURH2GDPQUVDOEPV.json","graph_json":"https://pith.science/api/pith-number/CPQANCQ2RYAURH2GDPQUVDOEPV/graph.json","events_json":"https://pith.science/api/pith-number/CPQANCQ2RYAURH2GDPQUVDOEPV/events.json","paper":"https://pith.science/paper/CPQANCQ2"},"agent_actions":{"view_html":"https://pith.science/pith/CPQANCQ2RYAURH2GDPQUVDOEPV","download_json":"https://pith.science/pith/CPQANCQ2RYAURH2GDPQUVDOEPV.json","view_paper":"https://pith.science/paper/CPQANCQ2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0108096&json=true","fetch_graph":"https://pith.science/api/pith-number/CPQANCQ2RYAURH2GDPQUVDOEPV/graph.json","fetch_events":"https://pith.science/api/pith-number/CPQANCQ2RYAURH2GDPQUVDOEPV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CPQANCQ2RYAURH2GDPQUVDOEPV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CPQANCQ2RYAURH2GDPQUVDOEPV/action/storage_attestation","attest_author":"https://pith.science/pith/CPQANCQ2RYAURH2GDPQUVDOEPV/action/author_attestation","sign_citation":"https://pith.science/pith/CPQANCQ2RYAURH2GDPQUVDOEPV/action/citation_signature","submit_replication":"https://pith.science/pith/CPQANCQ2RYAURH2GDPQUVDOEPV/action/replication_record"}},"created_at":"2026-05-18T02:36:11.676113+00:00","updated_at":"2026-05-18T02:36:11.676113+00:00"}