{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:L25EQOP4PFEZHLYWELEI4JNMD4","short_pith_number":"pith:L25EQOP4","canonical_record":{"source":{"id":"1009.1776","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-09-09T13:33:09Z","cross_cats_sorted":[],"title_canon_sha256":"2759f7b94b24de2b08c3cd7173211d226824c05408614d61be8893ae15e225da","abstract_canon_sha256":"d8e6d6cb316ba2d1c1fe28f83f2cdc2dc164010332da7c013b5fb794b614d7d1"},"schema_version":"1.0"},"canonical_sha256":"5eba4839fc794993af1622c88e25ac1f3f4e563cb33676af9ef84ea27ca0fb72","source":{"kind":"arxiv","id":"1009.1776","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1776","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1776v3","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1776","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"pith_short_12","alias_value":"L25EQOP4PFEZ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"L25EQOP4PFEZHLYW","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"L25EQOP4","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:L25EQOP4PFEZHLYWELEI4JNMD4","target":"record","payload":{"canonical_record":{"source":{"id":"1009.1776","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-09-09T13:33:09Z","cross_cats_sorted":[],"title_canon_sha256":"2759f7b94b24de2b08c3cd7173211d226824c05408614d61be8893ae15e225da","abstract_canon_sha256":"d8e6d6cb316ba2d1c1fe28f83f2cdc2dc164010332da7c013b5fb794b614d7d1"},"schema_version":"1.0"},"canonical_sha256":"5eba4839fc794993af1622c88e25ac1f3f4e563cb33676af9ef84ea27ca0fb72","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:47.700011Z","signature_b64":"8rsTXKjctuiP/Rdnu0nJ9kxj2CbNY+x7IITM8VzXotlGT/br/lN4aqlcLHbD6Kaf86pPjSzlxSdAWVQRWKqcDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5eba4839fc794993af1622c88e25ac1f3f4e563cb33676af9ef84ea27ca0fb72","last_reissued_at":"2026-05-18T03:23:47.699456Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:47.699456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.1776","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:23:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pbPkjrHlV577jHEJuIFjzdNiayBfOXM0vl3Jb64zfZ2DbshRdY076MNUWQj+py2dNNaG6iZd7wjV9mQMJf+fBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:58:36.608993Z"},"content_sha256":"43aa2bdb9e789b263558dee3e345c463fbe0ad9f82cf19876b308012172257a9","schema_version":"1.0","event_id":"sha256:43aa2bdb9e789b263558dee3e345c463fbe0ad9f82cf19876b308012172257a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:L25EQOP4PFEZHLYWELEI4JNMD4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-band and nonlinear hopping corrections to the 3D Bose-Fermi Hubbard model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Alexander Mering, Michael Fleischhauer","submitted_at":"2010-09-09T13:33:09Z","abstract_excerpt":"Recent experiments revealed the importance of higher-band effects for the Mott insulator (MI) -- superfluid transition (SF) of ultracold bosonic atoms or mixtures of bosons and fermions in deep optical lattices [Best \\emph{et al.}, PRL \\textbf{102}, 030408 (2009); Will \\emph{et al.}, Nature \\textbf{465}, 197 (2010)]. In the present work, we derive an effective lowest-band Hamiltonian in 3D that generalizes the standard Bose-Fermi Hubbard model taking these effects as well as nonlinear corrections of the tunneling amplitudes mediated by interspecies interactions into account. It is shown that a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1776","kind":"arxiv","version":3},"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":"2026-05-18T03:23:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KkGm8ur/P9/TmCpnoa0Aoq9LmoNfoRXj9F/6rXNwpO0ny9eRF2PoHh39+QuXHKAoFt3YaHbd5HAnaDeHKtiqCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:58:36.609347Z"},"content_sha256":"80fc6f9e1bbdc7dd0b1f3481f09b661d569fe195e7f96b7500af396cedab59fd","schema_version":"1.0","event_id":"sha256:80fc6f9e1bbdc7dd0b1f3481f09b661d569fe195e7f96b7500af396cedab59fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L25EQOP4PFEZHLYWELEI4JNMD4/bundle.json","state_url":"https://pith.science/pith/L25EQOP4PFEZHLYWELEI4JNMD4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L25EQOP4PFEZHLYWELEI4JNMD4/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":"2026-06-09T09:58:36Z","links":{"resolver":"https://pith.science/pith/L25EQOP4PFEZHLYWELEI4JNMD4","bundle":"https://pith.science/pith/L25EQOP4PFEZHLYWELEI4JNMD4/bundle.json","state":"https://pith.science/pith/L25EQOP4PFEZHLYWELEI4JNMD4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L25EQOP4PFEZHLYWELEI4JNMD4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:L25EQOP4PFEZHLYWELEI4JNMD4","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":"d8e6d6cb316ba2d1c1fe28f83f2cdc2dc164010332da7c013b5fb794b614d7d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-09-09T13:33:09Z","title_canon_sha256":"2759f7b94b24de2b08c3cd7173211d226824c05408614d61be8893ae15e225da"},"schema_version":"1.0","source":{"id":"1009.1776","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.1776","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"arxiv_version","alias_value":"1009.1776v3","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.1776","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"pith_short_12","alias_value":"L25EQOP4PFEZ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"L25EQOP4PFEZHLYW","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"L25EQOP4","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:80fc6f9e1bbdc7dd0b1f3481f09b661d569fe195e7f96b7500af396cedab59fd","target":"graph","created_at":"2026-05-18T03:23:47Z","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":"Recent experiments revealed the importance of higher-band effects for the Mott insulator (MI) -- superfluid transition (SF) of ultracold bosonic atoms or mixtures of bosons and fermions in deep optical lattices [Best \\emph{et al.}, PRL \\textbf{102}, 030408 (2009); Will \\emph{et al.}, Nature \\textbf{465}, 197 (2010)]. In the present work, we derive an effective lowest-band Hamiltonian in 3D that generalizes the standard Bose-Fermi Hubbard model taking these effects as well as nonlinear corrections of the tunneling amplitudes mediated by interspecies interactions into account. It is shown that a","authors_text":"Alexander Mering, Michael Fleischhauer","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-09-09T13:33:09Z","title":"Multi-band and nonlinear hopping corrections to the 3D Bose-Fermi Hubbard model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.1776","kind":"arxiv","version":3},"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":"sha256:43aa2bdb9e789b263558dee3e345c463fbe0ad9f82cf19876b308012172257a9","target":"record","created_at":"2026-05-18T03:23:47Z","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":"d8e6d6cb316ba2d1c1fe28f83f2cdc2dc164010332da7c013b5fb794b614d7d1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2010-09-09T13:33:09Z","title_canon_sha256":"2759f7b94b24de2b08c3cd7173211d226824c05408614d61be8893ae15e225da"},"schema_version":"1.0","source":{"id":"1009.1776","kind":"arxiv","version":3}},"canonical_sha256":"5eba4839fc794993af1622c88e25ac1f3f4e563cb33676af9ef84ea27ca0fb72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5eba4839fc794993af1622c88e25ac1f3f4e563cb33676af9ef84ea27ca0fb72","first_computed_at":"2026-05-18T03:23:47.699456Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:47.699456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8rsTXKjctuiP/Rdnu0nJ9kxj2CbNY+x7IITM8VzXotlGT/br/lN4aqlcLHbD6Kaf86pPjSzlxSdAWVQRWKqcDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:47.700011Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.1776","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43aa2bdb9e789b263558dee3e345c463fbe0ad9f82cf19876b308012172257a9","sha256:80fc6f9e1bbdc7dd0b1f3481f09b661d569fe195e7f96b7500af396cedab59fd"],"state_sha256":"87a9f9414372953513352b487629926f80e5c4d6606ffd5b9e8d904241cb0bb1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3ZRbTaOmfS3hui5DK472XbgGeh66P4JcHPQZzQ0Rb68DQ9o5ir2kwVfWUsIcSSsJp1UsSrC7l0IDS9nD5zIvDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T09:58:36.611192Z","bundle_sha256":"eef9e27af7a3c0218a1553bd089c26331cbde2eb40b0f2f3f93fe5e610b6480d"}}