{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:AYRDU4NHUN5JKOHKDQOMJXEPO3","short_pith_number":"pith:AYRDU4NH","canonical_record":{"source":{"id":"2405.14479","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2024-05-23T12:06:49Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","hep-th","math-ph","math.MP"],"title_canon_sha256":"b8f67da6d3dd108cce0bc33b3a75cddefc0381acb67aa897c49165c621dea836","abstract_canon_sha256":"b9247dea76cb3a5a92912dfb48ae49af19a7e6a4181289ee31250c23212e0bef"},"schema_version":"1.0"},"canonical_sha256":"06223a71a7a37a9538ea1c1cc4dc8f76f3f41cba0f0bea5c013a8ccd00f7ba14","source":{"kind":"arxiv","id":"2405.14479","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.14479","created_at":"2026-07-05T11:38:23Z"},{"alias_kind":"arxiv_version","alias_value":"2405.14479v1","created_at":"2026-07-05T11:38:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.14479","created_at":"2026-07-05T11:38:23Z"},{"alias_kind":"pith_short_12","alias_value":"AYRDU4NHUN5J","created_at":"2026-07-05T11:38:23Z"},{"alias_kind":"pith_short_16","alias_value":"AYRDU4NHUN5JKOHK","created_at":"2026-07-05T11:38:23Z"},{"alias_kind":"pith_short_8","alias_value":"AYRDU4NH","created_at":"2026-07-05T11:38:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:AYRDU4NHUN5JKOHKDQOMJXEPO3","target":"record","payload":{"canonical_record":{"source":{"id":"2405.14479","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2024-05-23T12:06:49Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","hep-th","math-ph","math.MP"],"title_canon_sha256":"b8f67da6d3dd108cce0bc33b3a75cddefc0381acb67aa897c49165c621dea836","abstract_canon_sha256":"b9247dea76cb3a5a92912dfb48ae49af19a7e6a4181289ee31250c23212e0bef"},"schema_version":"1.0"},"canonical_sha256":"06223a71a7a37a9538ea1c1cc4dc8f76f3f41cba0f0bea5c013a8ccd00f7ba14","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:38:23.154202Z","signature_b64":"tKdRjOfyF754urjgKAZeC4EeU3r3uMHsD0Vm0tPNxd3dYojyrNhx/m9eAg4jQfif2lLhl5wRBZK7upacajrVDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06223a71a7a37a9538ea1c1cc4dc8f76f3f41cba0f0bea5c013a8ccd00f7ba14","last_reissued_at":"2026-07-05T11:38:23.153671Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:38:23.153671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.14479","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:38:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dOdlUFQ07udfV7Hl7IrrNvkhv82CwSgLkGqiR9B2YgL8ZhNK+jRZXvqZXqDDfVEqwoLMmVt0ZKbq1wPOjE/QCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T17:42:50.096094Z"},"content_sha256":"adcf9287c7f6d89ac6a7227e9ee1a5335554569e88bfe218ccec995a7b502db7","schema_version":"1.0","event_id":"sha256:adcf9287c7f6d89ac6a7227e9ee1a5335554569e88bfe218ccec995a7b502db7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:AYRDU4NHUN5JKOHKDQOMJXEPO3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Theory of Generalized Landau Levels and Implication for non-Abelian States","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.str-el","hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.mes-hall","authors_text":"Bruno Mera, Jie Wang, Manato Fujimoto, Tomoki Ozawa, Zhao Liu","submitted_at":"2024-05-23T12:06:49Z","abstract_excerpt":"Quantum geometry is a fundamental concept to characterize the local properties of quantum states. It is recently demonstrated that saturating certain quantum geometric bounds allows a topological Chern band to share many essential features with the lowest Landau level, facilitating fractionalized phases in moir\\'e flat bands. In this work, we systematically extend the consequence and universality of saturated geometric bounds to arbitrary Landau levels by introducing a set of single-particle states, which we term as ``generalized Landau levels''. These generalized Landau levels exhibit exactly"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.14479","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/2405.14479/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:38:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sy0KV4qj3H0UnoAF+8u0jpT7DBFmPoH9NQo/Kgh4DBoskuVtf3UmT6HX83jxXoYdwqjB3gTKOgVPNi1pevBDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T17:42:50.096785Z"},"content_sha256":"dc02b48d56b76ae7c01b9ffe5204166014234c19e6e5435170cb6277e4ac97a9","schema_version":"1.0","event_id":"sha256:dc02b48d56b76ae7c01b9ffe5204166014234c19e6e5435170cb6277e4ac97a9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AYRDU4NHUN5JKOHKDQOMJXEPO3/bundle.json","state_url":"https://pith.science/pith/AYRDU4NHUN5JKOHKDQOMJXEPO3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AYRDU4NHUN5JKOHKDQOMJXEPO3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-22T17:42:50Z","links":{"resolver":"https://pith.science/pith/AYRDU4NHUN5JKOHKDQOMJXEPO3","bundle":"https://pith.science/pith/AYRDU4NHUN5JKOHKDQOMJXEPO3/bundle.json","state":"https://pith.science/pith/AYRDU4NHUN5JKOHKDQOMJXEPO3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AYRDU4NHUN5JKOHKDQOMJXEPO3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:AYRDU4NHUN5JKOHKDQOMJXEPO3","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":"b9247dea76cb3a5a92912dfb48ae49af19a7e6a4181289ee31250c23212e0bef","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2024-05-23T12:06:49Z","title_canon_sha256":"b8f67da6d3dd108cce0bc33b3a75cddefc0381acb67aa897c49165c621dea836"},"schema_version":"1.0","source":{"id":"2405.14479","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.14479","created_at":"2026-07-05T11:38:23Z"},{"alias_kind":"arxiv_version","alias_value":"2405.14479v1","created_at":"2026-07-05T11:38:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.14479","created_at":"2026-07-05T11:38:23Z"},{"alias_kind":"pith_short_12","alias_value":"AYRDU4NHUN5J","created_at":"2026-07-05T11:38:23Z"},{"alias_kind":"pith_short_16","alias_value":"AYRDU4NHUN5JKOHK","created_at":"2026-07-05T11:38:23Z"},{"alias_kind":"pith_short_8","alias_value":"AYRDU4NH","created_at":"2026-07-05T11:38:23Z"}],"graph_snapshots":[{"event_id":"sha256:dc02b48d56b76ae7c01b9ffe5204166014234c19e6e5435170cb6277e4ac97a9","target":"graph","created_at":"2026-07-05T11:38:23Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2405.14479/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum geometry is a fundamental concept to characterize the local properties of quantum states. It is recently demonstrated that saturating certain quantum geometric bounds allows a topological Chern band to share many essential features with the lowest Landau level, facilitating fractionalized phases in moir\\'e flat bands. In this work, we systematically extend the consequence and universality of saturated geometric bounds to arbitrary Landau levels by introducing a set of single-particle states, which we term as ``generalized Landau levels''. These generalized Landau levels exhibit exactly","authors_text":"Bruno Mera, Jie Wang, Manato Fujimoto, Tomoki Ozawa, Zhao Liu","cross_cats":["cond-mat.quant-gas","cond-mat.str-el","hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2024-05-23T12:06:49Z","title":"Theory of Generalized Landau Levels and Implication for non-Abelian States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.14479","kind":"arxiv","version":1},"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:adcf9287c7f6d89ac6a7227e9ee1a5335554569e88bfe218ccec995a7b502db7","target":"record","created_at":"2026-07-05T11:38:23Z","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":"b9247dea76cb3a5a92912dfb48ae49af19a7e6a4181289ee31250c23212e0bef","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2024-05-23T12:06:49Z","title_canon_sha256":"b8f67da6d3dd108cce0bc33b3a75cddefc0381acb67aa897c49165c621dea836"},"schema_version":"1.0","source":{"id":"2405.14479","kind":"arxiv","version":1}},"canonical_sha256":"06223a71a7a37a9538ea1c1cc4dc8f76f3f41cba0f0bea5c013a8ccd00f7ba14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06223a71a7a37a9538ea1c1cc4dc8f76f3f41cba0f0bea5c013a8ccd00f7ba14","first_computed_at":"2026-07-05T11:38:23.153671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:38:23.153671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tKdRjOfyF754urjgKAZeC4EeU3r3uMHsD0Vm0tPNxd3dYojyrNhx/m9eAg4jQfif2lLhl5wRBZK7upacajrVDA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:38:23.154202Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.14479","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:adcf9287c7f6d89ac6a7227e9ee1a5335554569e88bfe218ccec995a7b502db7","sha256:dc02b48d56b76ae7c01b9ffe5204166014234c19e6e5435170cb6277e4ac97a9"],"state_sha256":"7b8167fed1ecf8b3b1506aee739be0ec87111de266cf7ba482d18605e882f33f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IkEAuxM/hLzKXNv3wDtRVLTqcO5zDgO8PQwe2lHjPzo4GRMrycB47c3WkLK50EfRwqtue8KsKxQcuBHT2fhZBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T17:42:50.102080Z","bundle_sha256":"9f8a1f6133d03ad34d4191f1a6969bc2ea57400e039211c6e31b7286481b7f01"}}