{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:ZFVDW3FWL4XOAFOYLF7RMDFLT4","short_pith_number":"pith:ZFVDW3FW","schema_version":"1.0","canonical_sha256":"c96a3b6cb65f2ee015d8597f160cab9f00d7d2a14afc1550e7dc776e9257bb53","source":{"kind":"arxiv","id":"1110.4308","version":1},"attestation_state":"computed","paper":{"title":"Superfluid to Mott insulator transition in the one-dimensional Bose-Hubbard model for arbitrary integer filling factors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Anatoli Polkovnikov, Ippei Danshita","submitted_at":"2011-10-19T15:17:16Z","abstract_excerpt":"We study the quantum phase transition between the superfluid and the Mott insulator in the one-dimensional (1D) Bose-Hubbard model. Using the time-evolving block decimation method, we numerically calculate the tunneling splitting of two macroscopically distinct states with different winding numbers. From the scaling of the tunneling splitting with respect to the system size, we determine the critical point of the superfluid to Mott insulator transition for arbitrary integer filling factors. We find that the critical values versus the filling factor in 1D, 2D, and 3D are well approximated by a "},"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":"1110.4308","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-10-19T15:17:16Z","cross_cats_sorted":[],"title_canon_sha256":"f5f20a060979048757583f498f219c765142fecdbe73c87b5621aaad17a3e451","abstract_canon_sha256":"a502a6d31118df0175069db0938f6fae2e416131a6c5c60b7b090c36b847e165"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:08.572714Z","signature_b64":"ftjRPx6x7f8k+dqlYZqk197BTjnExIve008K2xF6SCweIlnMt4yPowIOi7SHmPs+UpMdw2OgOOXwUCmyiNM7CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c96a3b6cb65f2ee015d8597f160cab9f00d7d2a14afc1550e7dc776e9257bb53","last_reissued_at":"2026-05-18T02:00:08.572062Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:08.572062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Superfluid to Mott insulator transition in the one-dimensional Bose-Hubbard model for arbitrary integer filling factors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Anatoli Polkovnikov, Ippei Danshita","submitted_at":"2011-10-19T15:17:16Z","abstract_excerpt":"We study the quantum phase transition between the superfluid and the Mott insulator in the one-dimensional (1D) Bose-Hubbard model. Using the time-evolving block decimation method, we numerically calculate the tunneling splitting of two macroscopically distinct states with different winding numbers. From the scaling of the tunneling splitting with respect to the system size, we determine the critical point of the superfluid to Mott insulator transition for arbitrary integer filling factors. We find that the critical values versus the filling factor in 1D, 2D, and 3D are well approximated by a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4308","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1110.4308","created_at":"2026-05-18T02:00:08.572146+00:00"},{"alias_kind":"arxiv_version","alias_value":"1110.4308v1","created_at":"2026-05-18T02:00:08.572146+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4308","created_at":"2026-05-18T02:00:08.572146+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZFVDW3FWL4XO","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZFVDW3FWL4XOAFOY","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZFVDW3FW","created_at":"2026-05-18T12:26:47.523578+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/ZFVDW3FWL4XOAFOYLF7RMDFLT4","json":"https://pith.science/pith/ZFVDW3FWL4XOAFOYLF7RMDFLT4.json","graph_json":"https://pith.science/api/pith-number/ZFVDW3FWL4XOAFOYLF7RMDFLT4/graph.json","events_json":"https://pith.science/api/pith-number/ZFVDW3FWL4XOAFOYLF7RMDFLT4/events.json","paper":"https://pith.science/paper/ZFVDW3FW"},"agent_actions":{"view_html":"https://pith.science/pith/ZFVDW3FWL4XOAFOYLF7RMDFLT4","download_json":"https://pith.science/pith/ZFVDW3FWL4XOAFOYLF7RMDFLT4.json","view_paper":"https://pith.science/paper/ZFVDW3FW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1110.4308&json=true","fetch_graph":"https://pith.science/api/pith-number/ZFVDW3FWL4XOAFOYLF7RMDFLT4/graph.json","fetch_events":"https://pith.science/api/pith-number/ZFVDW3FWL4XOAFOYLF7RMDFLT4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZFVDW3FWL4XOAFOYLF7RMDFLT4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZFVDW3FWL4XOAFOYLF7RMDFLT4/action/storage_attestation","attest_author":"https://pith.science/pith/ZFVDW3FWL4XOAFOYLF7RMDFLT4/action/author_attestation","sign_citation":"https://pith.science/pith/ZFVDW3FWL4XOAFOYLF7RMDFLT4/action/citation_signature","submit_replication":"https://pith.science/pith/ZFVDW3FWL4XOAFOYLF7RMDFLT4/action/replication_record"}},"created_at":"2026-05-18T02:00:08.572146+00:00","updated_at":"2026-05-18T02:00:08.572146+00:00"}