{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FIBVDCY3O3C7EYEO6ZIW777EYL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7fbe1843d47995fe58432fd7cd59c9ddd69fbd4c54a2d0f0c06c49af6f54e949","cross_cats_sorted":["cond-mat.mes-hall","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-07-17T09:39:29Z","title_canon_sha256":"cb91d5cf8165ac2328c4268f1b7e11622de735d08b5b286db091bd41b1044fff"},"schema_version":"1.0","source":{"id":"1707.05059","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.05059","created_at":"2026-05-18T00:28:45Z"},{"alias_kind":"arxiv_version","alias_value":"1707.05059v2","created_at":"2026-05-18T00:28:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.05059","created_at":"2026-05-18T00:28:45Z"},{"alias_kind":"pith_short_12","alias_value":"FIBVDCY3O3C7","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FIBVDCY3O3C7EYEO","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FIBVDCY3","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:96abb5db71be9ffbdc8c21d8c8c10016c5c4bf9aa4a050fcc1d094378ed57d9a","target":"graph","created_at":"2026-05-18T00:28:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We study natural perturbations of the Laughlin state arising from the effects of trapping and disorder. These are N-particle wave functions that have the form of a product of Laughlin states and analytic functions of the N variables. We derive an upper bound to the ground state energy in a confining external potential, matching exactly a recently derived lower bound in the large N limit. Irrespective of the shape of the confining potential, this sharp upper bound can be achieved through a modification of the Laughlin function by suitably arranged quasi-holes.","authors_text":"Jakob Yngvason, Nicolas Rougerie (LPMMC)","cross_cats":["cond-mat.mes-hall","math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-07-17T09:39:29Z","title":"The Laughlin liquid in an external potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.05059","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0cd35b23a404692519003fcd86cefaa6a7f033a24f3328002626aa4e2d6fea25","target":"record","created_at":"2026-05-18T00:28:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7fbe1843d47995fe58432fd7cd59c9ddd69fbd4c54a2d0f0c06c49af6f54e949","cross_cats_sorted":["cond-mat.mes-hall","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-07-17T09:39:29Z","title_canon_sha256":"cb91d5cf8165ac2328c4268f1b7e11622de735d08b5b286db091bd41b1044fff"},"schema_version":"1.0","source":{"id":"1707.05059","kind":"arxiv","version":2}},"canonical_sha256":"2a03518b1b76c5f2608ef6516fffe4c2dabaf4b0eb84a4f611653e92df88b7cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a03518b1b76c5f2608ef6516fffe4c2dabaf4b0eb84a4f611653e92df88b7cc","first_computed_at":"2026-05-18T00:28:45.617301Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:45.617301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rfA0rOIoZBj5/k1k+ypbJS7SBh5zGuWxeteM3qvojbkQmuTWotmeqR84waubJI7qNDcOQWgYIRRz22rCRcfkDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:45.618010Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.05059","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cd35b23a404692519003fcd86cefaa6a7f033a24f3328002626aa4e2d6fea25","sha256:96abb5db71be9ffbdc8c21d8c8c10016c5c4bf9aa4a050fcc1d094378ed57d9a"],"state_sha256":"fae68dee3107cc1f1d912f32a34c38197ec3e3de0d689951ceb611eaee85874f"}