{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:TMPOMUNR5BECZJMDIPAYDIPZ2M","short_pith_number":"pith:TMPOMUNR","canonical_record":{"source":{"id":"1701.02990","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-01-11T14:42:26Z","cross_cats_sorted":[],"title_canon_sha256":"51b07a4553fb7b9c964fff5e784476e4c27d765fc16bf50345e921d3aea53e2e","abstract_canon_sha256":"90479c2e4afcb49d5bf3dd8c1a1bbafdb7125c0bc9affa10876af30813e322ac"},"schema_version":"1.0"},"canonical_sha256":"9b1ee651b1e8482ca58343c181a1f9d33399aa794b149c5dd5305eac9f653b13","source":{"kind":"arxiv","id":"1701.02990","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02990","created_at":"2026-05-18T00:17:19Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02990v1","created_at":"2026-05-18T00:17:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02990","created_at":"2026-05-18T00:17:19Z"},{"alias_kind":"pith_short_12","alias_value":"TMPOMUNR5BEC","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TMPOMUNR5BECZJMD","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TMPOMUNR","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:TMPOMUNR5BECZJMDIPAYDIPZ2M","target":"record","payload":{"canonical_record":{"source":{"id":"1701.02990","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-01-11T14:42:26Z","cross_cats_sorted":[],"title_canon_sha256":"51b07a4553fb7b9c964fff5e784476e4c27d765fc16bf50345e921d3aea53e2e","abstract_canon_sha256":"90479c2e4afcb49d5bf3dd8c1a1bbafdb7125c0bc9affa10876af30813e322ac"},"schema_version":"1.0"},"canonical_sha256":"9b1ee651b1e8482ca58343c181a1f9d33399aa794b149c5dd5305eac9f653b13","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:19.644547Z","signature_b64":"NRk/TllNuhhKHaLZ8g6wa95KkEot6hoDVwJEq37kivq6bhAfhCsvIXxwtbeeyY1UzDumPvdKun6zyQskPKqgCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b1ee651b1e8482ca58343c181a1f9d33399aa794b149c5dd5305eac9f653b13","last_reissued_at":"2026-05-18T00:17:19.643910Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:19.643910Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.02990","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":"2026-05-18T00:17:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WaTXf4GFq3ofKFfhN1i8WtiU8Xag5CZnfjxZEhurtr3ifoJCnVtOyOPU0FHgM5ezZWc4X0RD1aSTEQgrnURhAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T13:20:50.178566Z"},"content_sha256":"ff98055f1ccd20fa73a5a4f6e1945039eaa53a687374d8c62f658b8954de4cfd","schema_version":"1.0","event_id":"sha256:ff98055f1ccd20fa73a5a4f6e1945039eaa53a687374d8c62f658b8954de4cfd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:TMPOMUNR5BECZJMDIPAYDIPZ2M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite size effects and Hofstadter butterfly in a bosonic Mott insulator with relativistic dispersion background","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"A. S. Sajna, T. P. Polak","submitted_at":"2017-01-11T14:42:26Z","abstract_excerpt":"Gauge potentials with different configurations have been recently realized in the optical lattice experiments. It is remarkable that one of the simplest gauge can generate particle energy spectrum with the self-similar structure known as a Hofstadter butterfly. We investigate theoretically the impact of strong on-site interaction on such a spectrum. In particular, it is shown that the fractal structure is encoded in the quasi-particle and hole bosonic branches. A square lattice and other structures (brick-wall and staggered magnetic flux lattice) with relativistic energy dispersions which are "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02990","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":""},"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":"2026-05-18T00:17:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YfOy57PiLBss/ABdYglHKJ+hs+HaXlshYqR+QbvS3LG1SrrVYbFGxVbEa04z6p/r9aJL/3AIc6+A+UXxayMfDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T13:20:50.178917Z"},"content_sha256":"75d2bd7f7bd129bf9ec2e5b41407a46bdab1fd2297491fe4cbc1edd0b1cb9ad5","schema_version":"1.0","event_id":"sha256:75d2bd7f7bd129bf9ec2e5b41407a46bdab1fd2297491fe4cbc1edd0b1cb9ad5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TMPOMUNR5BECZJMDIPAYDIPZ2M/bundle.json","state_url":"https://pith.science/pith/TMPOMUNR5BECZJMDIPAYDIPZ2M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TMPOMUNR5BECZJMDIPAYDIPZ2M/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":"2026-06-24T13:20:50Z","links":{"resolver":"https://pith.science/pith/TMPOMUNR5BECZJMDIPAYDIPZ2M","bundle":"https://pith.science/pith/TMPOMUNR5BECZJMDIPAYDIPZ2M/bundle.json","state":"https://pith.science/pith/TMPOMUNR5BECZJMDIPAYDIPZ2M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TMPOMUNR5BECZJMDIPAYDIPZ2M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TMPOMUNR5BECZJMDIPAYDIPZ2M","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":"90479c2e4afcb49d5bf3dd8c1a1bbafdb7125c0bc9affa10876af30813e322ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-01-11T14:42:26Z","title_canon_sha256":"51b07a4553fb7b9c964fff5e784476e4c27d765fc16bf50345e921d3aea53e2e"},"schema_version":"1.0","source":{"id":"1701.02990","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.02990","created_at":"2026-05-18T00:17:19Z"},{"alias_kind":"arxiv_version","alias_value":"1701.02990v1","created_at":"2026-05-18T00:17:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.02990","created_at":"2026-05-18T00:17:19Z"},{"alias_kind":"pith_short_12","alias_value":"TMPOMUNR5BEC","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TMPOMUNR5BECZJMD","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TMPOMUNR","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:75d2bd7f7bd129bf9ec2e5b41407a46bdab1fd2297491fe4cbc1edd0b1cb9ad5","target":"graph","created_at":"2026-05-18T00:17:19Z","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":"Gauge potentials with different configurations have been recently realized in the optical lattice experiments. It is remarkable that one of the simplest gauge can generate particle energy spectrum with the self-similar structure known as a Hofstadter butterfly. We investigate theoretically the impact of strong on-site interaction on such a spectrum. In particular, it is shown that the fractal structure is encoded in the quasi-particle and hole bosonic branches. A square lattice and other structures (brick-wall and staggered magnetic flux lattice) with relativistic energy dispersions which are ","authors_text":"A. S. Sajna, T. P. Polak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-01-11T14:42:26Z","title":"Finite size effects and Hofstadter butterfly in a bosonic Mott insulator with relativistic dispersion background"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.02990","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:ff98055f1ccd20fa73a5a4f6e1945039eaa53a687374d8c62f658b8954de4cfd","target":"record","created_at":"2026-05-18T00:17:19Z","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":"90479c2e4afcb49d5bf3dd8c1a1bbafdb7125c0bc9affa10876af30813e322ac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-01-11T14:42:26Z","title_canon_sha256":"51b07a4553fb7b9c964fff5e784476e4c27d765fc16bf50345e921d3aea53e2e"},"schema_version":"1.0","source":{"id":"1701.02990","kind":"arxiv","version":1}},"canonical_sha256":"9b1ee651b1e8482ca58343c181a1f9d33399aa794b149c5dd5305eac9f653b13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b1ee651b1e8482ca58343c181a1f9d33399aa794b149c5dd5305eac9f653b13","first_computed_at":"2026-05-18T00:17:19.643910Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:19.643910Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NRk/TllNuhhKHaLZ8g6wa95KkEot6hoDVwJEq37kivq6bhAfhCsvIXxwtbeeyY1UzDumPvdKun6zyQskPKqgCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:19.644547Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.02990","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ff98055f1ccd20fa73a5a4f6e1945039eaa53a687374d8c62f658b8954de4cfd","sha256:75d2bd7f7bd129bf9ec2e5b41407a46bdab1fd2297491fe4cbc1edd0b1cb9ad5"],"state_sha256":"f86a4966889781b76043bcb5670863dfaeba393a395b8ab1968bdaeedce98b2a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Q9Kytxfai7SUcguQFx52pwY//7CWNAP0Rstq6jZz4hkeH7A/TpTlB5P+P4vdVDze+mTk3VlKR4O6nhdztUhAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T13:20:50.180855Z","bundle_sha256":"6550cba63977871eb56dc8e3d744fd48f36825cd2aa6f6b149bc653ab27dabb9"}}