{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:PSJ7R3D7KJ3TQGXT2WLKLUT5B6","short_pith_number":"pith:PSJ7R3D7","schema_version":"1.0","canonical_sha256":"7c93f8ec7f5277381af3d596a5d27d0fb969ec5731e6bffe160c8c914ef5e5e3","source":{"kind":"arxiv","id":"hep-th/9605127","version":2},"attestation_state":"computed","paper":{"title":"Modular Invariant Partition Functions in the Quantum Hall Effect","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"hep-th","authors_text":"Andrea Cappelli, Guillermo R. Zemba","submitted_at":"1996-05-17T17:33:24Z","abstract_excerpt":"We study the partition function for the low-energy edge excitations of the incompressible electron fluid. On an annular geometry, these excitations have opposite chiralities on the two edges; thus, the partition function takes the standard form of rational conformal field theories. In particular, it is invariant under modular transformations of the toroidal geometry made by the angular variable and the compact Euclidean time. The Jain series of plateaus have been described by two types of edge theories: the minimal models of the W-infinity algebra of quantum area-preserving diffeomorphisms, an"},"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/9605127","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-05-17T17:33:24Z","cross_cats_sorted":["cond-mat"],"title_canon_sha256":"da907830870addb046aea59117fa2a72dc90b2e8e9581ff853265b5db69cb362","abstract_canon_sha256":"f9e834fd59dfed54b8bd6a95e8522e2216dada7fb008f003b662904c989b44e7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:02:09.084201Z","signature_b64":"sILA6JtBvtNAA450woFOqoQb+EJVdaDB9piGuLlFevQS3NPHxw0Zi49YYwQtaXQtvoSqmKSmBN8XBCwHxvcKCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c93f8ec7f5277381af3d596a5d27d0fb969ec5731e6bffe160c8c914ef5e5e3","last_reissued_at":"2026-07-04T16:02:09.083860Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:02:09.083860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modular Invariant Partition Functions in the Quantum Hall Effect","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"hep-th","authors_text":"Andrea Cappelli, Guillermo R. Zemba","submitted_at":"1996-05-17T17:33:24Z","abstract_excerpt":"We study the partition function for the low-energy edge excitations of the incompressible electron fluid. On an annular geometry, these excitations have opposite chiralities on the two edges; thus, the partition function takes the standard form of rational conformal field theories. In particular, it is invariant under modular transformations of the toroidal geometry made by the angular variable and the compact Euclidean time. The Jain series of plateaus have been described by two types of edge theories: the minimal models of the W-infinity algebra of quantum area-preserving diffeomorphisms, an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9605127","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9605127/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/9605127","created_at":"2026-07-04T16:02:09.083921+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9605127v2","created_at":"2026-07-04T16:02:09.083921+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9605127","created_at":"2026-07-04T16:02:09.083921+00:00"},{"alias_kind":"pith_short_12","alias_value":"PSJ7R3D7KJ3T","created_at":"2026-07-04T16:02:09.083921+00:00"},{"alias_kind":"pith_short_16","alias_value":"PSJ7R3D7KJ3TQGXT","created_at":"2026-07-04T16:02:09.083921+00:00"},{"alias_kind":"pith_short_8","alias_value":"PSJ7R3D7","created_at":"2026-07-04T16:02:09.083921+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","ref_index":117,"is_internal_anchor":true},{"citing_arxiv_id":"2508.08639","citing_title":"Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings","ref_index":56,"is_internal_anchor":true},{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","ref_index":124,"is_internal_anchor":true},{"citing_arxiv_id":"2511.11059","citing_title":"Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls","ref_index":260,"is_internal_anchor":true},{"citing_arxiv_id":"2605.07734","citing_title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","ref_index":122,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PSJ7R3D7KJ3TQGXT2WLKLUT5B6","json":"https://pith.science/pith/PSJ7R3D7KJ3TQGXT2WLKLUT5B6.json","graph_json":"https://pith.science/api/pith-number/PSJ7R3D7KJ3TQGXT2WLKLUT5B6/graph.json","events_json":"https://pith.science/api/pith-number/PSJ7R3D7KJ3TQGXT2WLKLUT5B6/events.json","paper":"https://pith.science/paper/PSJ7R3D7"},"agent_actions":{"view_html":"https://pith.science/pith/PSJ7R3D7KJ3TQGXT2WLKLUT5B6","download_json":"https://pith.science/pith/PSJ7R3D7KJ3TQGXT2WLKLUT5B6.json","view_paper":"https://pith.science/paper/PSJ7R3D7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9605127&json=true","fetch_graph":"https://pith.science/api/pith-number/PSJ7R3D7KJ3TQGXT2WLKLUT5B6/graph.json","fetch_events":"https://pith.science/api/pith-number/PSJ7R3D7KJ3TQGXT2WLKLUT5B6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PSJ7R3D7KJ3TQGXT2WLKLUT5B6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PSJ7R3D7KJ3TQGXT2WLKLUT5B6/action/storage_attestation","attest_author":"https://pith.science/pith/PSJ7R3D7KJ3TQGXT2WLKLUT5B6/action/author_attestation","sign_citation":"https://pith.science/pith/PSJ7R3D7KJ3TQGXT2WLKLUT5B6/action/citation_signature","submit_replication":"https://pith.science/pith/PSJ7R3D7KJ3TQGXT2WLKLUT5B6/action/replication_record"}},"created_at":"2026-07-04T16:02:09.083921+00:00","updated_at":"2026-07-04T16:02:09.083921+00:00"}