{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:J6AD5J4PBLYUX7AG53PFOJXUIC","short_pith_number":"pith:J6AD5J4P","canonical_record":{"source":{"id":"1109.3434","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-15T19:13:51Z","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"title_canon_sha256":"194ba25a74e9fa1e5c28357c222da3383fb835dcd931fdb18433802837329ef9","abstract_canon_sha256":"d5297ed7cb391075f375be5c7191abb2dd348258e626c09d3b31861efc08766e"},"schema_version":"1.0"},"canonical_sha256":"4f803ea78f0af14bfc06eede5726f440865f31288ee24f987bb712d573c16585","source":{"kind":"arxiv","id":"1109.3434","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3434","created_at":"2026-05-18T03:52:12Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3434v2","created_at":"2026-05-18T03:52:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3434","created_at":"2026-05-18T03:52:12Z"},{"alias_kind":"pith_short_12","alias_value":"J6AD5J4PBLYU","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"J6AD5J4PBLYUX7AG","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"J6AD5J4P","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:J6AD5J4PBLYUX7AG53PFOJXUIC","target":"record","payload":{"canonical_record":{"source":{"id":"1109.3434","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-15T19:13:51Z","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"title_canon_sha256":"194ba25a74e9fa1e5c28357c222da3383fb835dcd931fdb18433802837329ef9","abstract_canon_sha256":"d5297ed7cb391075f375be5c7191abb2dd348258e626c09d3b31861efc08766e"},"schema_version":"1.0"},"canonical_sha256":"4f803ea78f0af14bfc06eede5726f440865f31288ee24f987bb712d573c16585","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:12.252872Z","signature_b64":"K96MwPN9OkKXkjVhYdxPdaTjfe27GJS2IIj9K5isb9kRirTuNc2blqXEKNjV6hNiEpADWxoacUok5oQHapagDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f803ea78f0af14bfc06eede5726f440865f31288ee24f987bb712d573c16585","last_reissued_at":"2026-05-18T03:52:12.252101Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:12.252101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.3434","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:52:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/t5zImHR3xqfAllIATb8k3CXX39HDTXuWRa4728RarW3hi1/ts3c8AiJZr2wS+7IYmwX537GDpq/dkRnp/A5DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:35:32.787166Z"},"content_sha256":"bdb6a588c905f8689b45eb0e63e8159bc7d602b80a03e1908d1102eae9139f07","schema_version":"1.0","event_id":"sha256:bdb6a588c905f8689b45eb0e63e8159bc7d602b80a03e1908d1102eae9139f07"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:J6AD5J4PBLYUX7AG53PFOJXUIC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fractional Quantum Hall Effect of Lattice Bosons Near Commensurate Flux","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Gunnar Moller, L. Hormozi, Steven H. Simon","submitted_at":"2011-09-15T19:13:51Z","abstract_excerpt":"We study interacting bosons on a lattice in a magnetic field. When the number of flux quanta per plaquette is close to a rational fraction, the low energy physics is mapped to a multi-species continuum model: bosons in the lowest Landau level where each boson is given an internal degree of freedom, or pseudospin. We find that the interaction potential between the bosons involves terms that do not conserve pseudospin, corresponding to umklapp processes, which in some cases can also be seen as BCS-type pairing terms. We argue that in experimentally realistic regimes for bosonic atoms in optical "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3434","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:52:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sNcO4FU+69qUNLBHJHKI4W0h1WkZU4ZHitrNJSoY0FXytMIVHV8+Y79oTJ5rTOubYdo/s4PW+H6MYl6uT5BJCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:35:32.787530Z"},"content_sha256":"4c18b0e8759cabf9a697b012b8d0f95193e8f2d71388c8148522e8444048c200","schema_version":"1.0","event_id":"sha256:4c18b0e8759cabf9a697b012b8d0f95193e8f2d71388c8148522e8444048c200"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J6AD5J4PBLYUX7AG53PFOJXUIC/bundle.json","state_url":"https://pith.science/pith/J6AD5J4PBLYUX7AG53PFOJXUIC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J6AD5J4PBLYUX7AG53PFOJXUIC/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":"2026-05-28T13:35:32Z","links":{"resolver":"https://pith.science/pith/J6AD5J4PBLYUX7AG53PFOJXUIC","bundle":"https://pith.science/pith/J6AD5J4PBLYUX7AG53PFOJXUIC/bundle.json","state":"https://pith.science/pith/J6AD5J4PBLYUX7AG53PFOJXUIC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J6AD5J4PBLYUX7AG53PFOJXUIC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:J6AD5J4PBLYUX7AG53PFOJXUIC","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":"d5297ed7cb391075f375be5c7191abb2dd348258e626c09d3b31861efc08766e","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-15T19:13:51Z","title_canon_sha256":"194ba25a74e9fa1e5c28357c222da3383fb835dcd931fdb18433802837329ef9"},"schema_version":"1.0","source":{"id":"1109.3434","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3434","created_at":"2026-05-18T03:52:12Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3434v2","created_at":"2026-05-18T03:52:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3434","created_at":"2026-05-18T03:52:12Z"},{"alias_kind":"pith_short_12","alias_value":"J6AD5J4PBLYU","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"J6AD5J4PBLYUX7AG","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"J6AD5J4P","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:4c18b0e8759cabf9a697b012b8d0f95193e8f2d71388c8148522e8444048c200","target":"graph","created_at":"2026-05-18T03:52:12Z","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 interacting bosons on a lattice in a magnetic field. When the number of flux quanta per plaquette is close to a rational fraction, the low energy physics is mapped to a multi-species continuum model: bosons in the lowest Landau level where each boson is given an internal degree of freedom, or pseudospin. We find that the interaction potential between the bosons involves terms that do not conserve pseudospin, corresponding to umklapp processes, which in some cases can also be seen as BCS-type pairing terms. We argue that in experimentally realistic regimes for bosonic atoms in optical ","authors_text":"Gunnar Moller, L. Hormozi, Steven H. Simon","cross_cats":["cond-mat.quant-gas","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-15T19:13:51Z","title":"Fractional Quantum Hall Effect of Lattice Bosons Near Commensurate Flux"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3434","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:bdb6a588c905f8689b45eb0e63e8159bc7d602b80a03e1908d1102eae9139f07","target":"record","created_at":"2026-05-18T03:52:12Z","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":"d5297ed7cb391075f375be5c7191abb2dd348258e626c09d3b31861efc08766e","cross_cats_sorted":["cond-mat.quant-gas","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-09-15T19:13:51Z","title_canon_sha256":"194ba25a74e9fa1e5c28357c222da3383fb835dcd931fdb18433802837329ef9"},"schema_version":"1.0","source":{"id":"1109.3434","kind":"arxiv","version":2}},"canonical_sha256":"4f803ea78f0af14bfc06eede5726f440865f31288ee24f987bb712d573c16585","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f803ea78f0af14bfc06eede5726f440865f31288ee24f987bb712d573c16585","first_computed_at":"2026-05-18T03:52:12.252101Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:12.252101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K96MwPN9OkKXkjVhYdxPdaTjfe27GJS2IIj9K5isb9kRirTuNc2blqXEKNjV6hNiEpADWxoacUok5oQHapagDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:12.252872Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3434","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdb6a588c905f8689b45eb0e63e8159bc7d602b80a03e1908d1102eae9139f07","sha256:4c18b0e8759cabf9a697b012b8d0f95193e8f2d71388c8148522e8444048c200"],"state_sha256":"366bde36e9df38a252701cf8a36bc26a7ae24594fa783d694a2a0ac40d8d975e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VYTKS1bjJHTSozcC6vlx5W+9lep6Z6o2N6LvG1gK1F7efRdA0G2KBlG8CjLn7or+pOOXSLje4Z2dZP7ecXlsDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T13:35:32.789656Z","bundle_sha256":"73a4e53272b427156deb929f352611ab95554cb7ecc74c4f16095e353d5d5b95"}}