{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:3RQA42IKNIKWQDVDLSZQNYTTPQ","short_pith_number":"pith:3RQA42IK","schema_version":"1.0","canonical_sha256":"dc600e690a6a15680ea35cb306e2737c25c5ec3636290da42b3835afeb224813","source":{"kind":"arxiv","id":"1004.3570","version":2},"attestation_state":"computed","paper":{"title":"An Isotropic to Anisotropic Transition in a Fractional Quantum Hall State","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Chetan Nayak, Michael Mulligan, Shamit Kachru","submitted_at":"2010-04-20T20:42:15Z","abstract_excerpt":"We study a novel abelian gauge theory in 2+1 dimensions which has surprising theoretical and phenomenological features. The theory has a vanishing coefficient for the square of the electric field $e_i^2$, characteristic of a quantum critical point with dynamical critical exponent $z=2$, and a level-$k$ Chern-Simons coupling, which is {\\it marginal} at this critical point. For $k=0$, this theory is dual to a free $z=2$ scalar field theory describing a quantum Lifshitz transition, but $k \\neq 0$ renders the scalar description non-local. The $k \\neq 0$ theory exhibits properties intermediate betw"},"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":"1004.3570","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-04-20T20:42:15Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"d7a0ff362cf4044337c215784b59d169a95a60021bdc8d8f27997fd640088df7","abstract_canon_sha256":"bb019c4e9f8cbabf02fe1003b8c5a3ac3273aa0037461c74f08012a94c489295"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:48.819895Z","signature_b64":"ur2MWS7LoVMDBKB7gc2hGOdHkHECZQzyYf6G34W/luaMPEq3JmHssZd0V7LZov7r51IudYYjPZk9cY8RtBZZBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc600e690a6a15680ea35cb306e2737c25c5ec3636290da42b3835afeb224813","last_reissued_at":"2026-05-18T03:23:48.819509Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:48.819509Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An Isotropic to Anisotropic Transition in a Fractional Quantum Hall State","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Chetan Nayak, Michael Mulligan, Shamit Kachru","submitted_at":"2010-04-20T20:42:15Z","abstract_excerpt":"We study a novel abelian gauge theory in 2+1 dimensions which has surprising theoretical and phenomenological features. The theory has a vanishing coefficient for the square of the electric field $e_i^2$, characteristic of a quantum critical point with dynamical critical exponent $z=2$, and a level-$k$ Chern-Simons coupling, which is {\\it marginal} at this critical point. For $k=0$, this theory is dual to a free $z=2$ scalar field theory describing a quantum Lifshitz transition, but $k \\neq 0$ renders the scalar description non-local. The $k \\neq 0$ theory exhibits properties intermediate betw"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3570","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":"1004.3570","created_at":"2026-05-18T03:23:48.819562+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.3570v2","created_at":"2026-05-18T03:23:48.819562+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3570","created_at":"2026-05-18T03:23:48.819562+00:00"},{"alias_kind":"pith_short_12","alias_value":"3RQA42IKNIKW","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"3RQA42IKNIKWQDVD","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"3RQA42IK","created_at":"2026-05-18T12:26:03.138858+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/3RQA42IKNIKWQDVDLSZQNYTTPQ","json":"https://pith.science/pith/3RQA42IKNIKWQDVDLSZQNYTTPQ.json","graph_json":"https://pith.science/api/pith-number/3RQA42IKNIKWQDVDLSZQNYTTPQ/graph.json","events_json":"https://pith.science/api/pith-number/3RQA42IKNIKWQDVDLSZQNYTTPQ/events.json","paper":"https://pith.science/paper/3RQA42IK"},"agent_actions":{"view_html":"https://pith.science/pith/3RQA42IKNIKWQDVDLSZQNYTTPQ","download_json":"https://pith.science/pith/3RQA42IKNIKWQDVDLSZQNYTTPQ.json","view_paper":"https://pith.science/paper/3RQA42IK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.3570&json=true","fetch_graph":"https://pith.science/api/pith-number/3RQA42IKNIKWQDVDLSZQNYTTPQ/graph.json","fetch_events":"https://pith.science/api/pith-number/3RQA42IKNIKWQDVDLSZQNYTTPQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3RQA42IKNIKWQDVDLSZQNYTTPQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3RQA42IKNIKWQDVDLSZQNYTTPQ/action/storage_attestation","attest_author":"https://pith.science/pith/3RQA42IKNIKWQDVDLSZQNYTTPQ/action/author_attestation","sign_citation":"https://pith.science/pith/3RQA42IKNIKWQDVDLSZQNYTTPQ/action/citation_signature","submit_replication":"https://pith.science/pith/3RQA42IKNIKWQDVDLSZQNYTTPQ/action/replication_record"}},"created_at":"2026-05-18T03:23:48.819562+00:00","updated_at":"2026-05-18T03:23:48.819562+00:00"}