{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:JCB4L7XOKRC62RNFJI3WYNNCHB","short_pith_number":"pith:JCB4L7XO","schema_version":"1.0","canonical_sha256":"4883c5feee5445ed45a54a376c35a2385583b9e2c46621b1d8fd5cb39ee70253","source":{"kind":"arxiv","id":"1507.06426","version":2},"attestation_state":"computed","paper":{"title":"Properties of the one-dimensional Bose-Hubbard model from a high-order perturbative expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Bogdan Damski, Jakub Zakrzewski","submitted_at":"2015-07-23T09:47:08Z","abstract_excerpt":"We employ a high-order perturbative expansion to characterize the ground state of the Mott phase of the one-dimensional Bose-Hubbard model. We compute for different integer filling factors the energy per lattice site, the two-point and density-density correlations, and expectation values of powers of the on-site number operator determining the local atom number fluctuations (variance, skewness, kurtosis). We compare these expansions to numerical simulations of the infinite-size system to determine their range of applicability. We also discuss a new sum rule for the density-density correlations"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1507.06426","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-07-23T09:47:08Z","cross_cats_sorted":["cond-mat.other","quant-ph"],"title_canon_sha256":"9bdb5949151bb3963924f4a7d52794c95d70d1f7ffcce82b3cd16c2dbeaad27b","abstract_canon_sha256":"945fb89f1bb4d824b0e81f50e05080f81baca2993131b22e973149e5b12a9100"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:37.644304Z","signature_b64":"M5E2OooNwsEhlEoWnUFgfH5PhUq6IEBSbKTLnulwPhA7WHfTnZVOJDImoxMlApvNpUR/gClxN6eEHPrKPuPxAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4883c5feee5445ed45a54a376c35a2385583b9e2c46621b1d8fd5cb39ee70253","last_reissued_at":"2026-05-18T01:22:37.643887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:37.643887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Properties of the one-dimensional Bose-Hubbard model from a high-order perturbative expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Bogdan Damski, Jakub Zakrzewski","submitted_at":"2015-07-23T09:47:08Z","abstract_excerpt":"We employ a high-order perturbative expansion to characterize the ground state of the Mott phase of the one-dimensional Bose-Hubbard model. We compute for different integer filling factors the energy per lattice site, the two-point and density-density correlations, and expectation values of powers of the on-site number operator determining the local atom number fluctuations (variance, skewness, kurtosis). We compare these expansions to numerical simulations of the infinite-size system to determine their range of applicability. We also discuss a new sum rule for the density-density correlations"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.06426","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1507.06426","created_at":"2026-05-18T01:22:37.643955+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.06426v2","created_at":"2026-05-18T01:22:37.643955+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.06426","created_at":"2026-05-18T01:22:37.643955+00:00"},{"alias_kind":"pith_short_12","alias_value":"JCB4L7XOKRC6","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_16","alias_value":"JCB4L7XOKRC62RNF","created_at":"2026-05-18T12:29:27.538025+00:00"},{"alias_kind":"pith_short_8","alias_value":"JCB4L7XO","created_at":"2026-05-18T12:29:27.538025+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JCB4L7XOKRC62RNFJI3WYNNCHB","json":"https://pith.science/pith/JCB4L7XOKRC62RNFJI3WYNNCHB.json","graph_json":"https://pith.science/api/pith-number/JCB4L7XOKRC62RNFJI3WYNNCHB/graph.json","events_json":"https://pith.science/api/pith-number/JCB4L7XOKRC62RNFJI3WYNNCHB/events.json","paper":"https://pith.science/paper/JCB4L7XO"},"agent_actions":{"view_html":"https://pith.science/pith/JCB4L7XOKRC62RNFJI3WYNNCHB","download_json":"https://pith.science/pith/JCB4L7XOKRC62RNFJI3WYNNCHB.json","view_paper":"https://pith.science/paper/JCB4L7XO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.06426&json=true","fetch_graph":"https://pith.science/api/pith-number/JCB4L7XOKRC62RNFJI3WYNNCHB/graph.json","fetch_events":"https://pith.science/api/pith-number/JCB4L7XOKRC62RNFJI3WYNNCHB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JCB4L7XOKRC62RNFJI3WYNNCHB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JCB4L7XOKRC62RNFJI3WYNNCHB/action/storage_attestation","attest_author":"https://pith.science/pith/JCB4L7XOKRC62RNFJI3WYNNCHB/action/author_attestation","sign_citation":"https://pith.science/pith/JCB4L7XOKRC62RNFJI3WYNNCHB/action/citation_signature","submit_replication":"https://pith.science/pith/JCB4L7XOKRC62RNFJI3WYNNCHB/action/replication_record"}},"created_at":"2026-05-18T01:22:37.643955+00:00","updated_at":"2026-05-18T01:22:37.643955+00:00"}