{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:ILD3EDGIURD4LJU3HIH6GF2RG3","short_pith_number":"pith:ILD3EDGI","schema_version":"1.0","canonical_sha256":"42c7b20cc8a447c5a69b3a0fe3175136fe78b89bd65aac1606a3c45442665ea4","source":{"kind":"arxiv","id":"1003.3334","version":1},"attestation_state":"computed","paper":{"title":"Quantum critical behavior and trap-size scaling of trapped bosons in a one-dimensional optical lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"cond-mat.stat-mech","authors_text":"Ettore Vicari, Massimo Campostrini","submitted_at":"2010-03-17T09:36:29Z","abstract_excerpt":"We study the quantum (zero-temperature) critical behaviors of confined particle systems described by the one-dimensional (1D) Bose-Hubbard model in the presence of a confining potential, at the Mott insulator to superfluid transitions, and within the gapless superfluid phase.  Specifically, we consider the hard-core limit of the model, which allows us to study the effects of the confining potential by exact and very accurate numerical results.  We analyze the quantum critical behaviors in the large trap-size limit within the framework of the trap-size scaling (TSS) theory, which introduces a n"},"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":"1003.3334","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-03-17T09:36:29Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"b33d6087013cbdc12787f39f1a6d63620a96ffa96a75a504a4fe6906ba1c45d4","abstract_canon_sha256":"1efe2797166b0c50abfaffeb460962d0c7c0969df4c2a726d5fe34e6e82d1be0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:49.028698Z","signature_b64":"bVHBP+lDTHQFWty85y/bemX6YmL0o1Io7uD/BGHVKbpgyaNY/gIQBKJ6ziehGSMVzxiraH+hDIvZ996YfjFyDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42c7b20cc8a447c5a69b3a0fe3175136fe78b89bd65aac1606a3c45442665ea4","last_reissued_at":"2026-05-18T03:23:49.028117Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:49.028117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum critical behavior and trap-size scaling of trapped bosons in a one-dimensional optical lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"cond-mat.stat-mech","authors_text":"Ettore Vicari, Massimo Campostrini","submitted_at":"2010-03-17T09:36:29Z","abstract_excerpt":"We study the quantum (zero-temperature) critical behaviors of confined particle systems described by the one-dimensional (1D) Bose-Hubbard model in the presence of a confining potential, at the Mott insulator to superfluid transitions, and within the gapless superfluid phase.  Specifically, we consider the hard-core limit of the model, which allows us to study the effects of the confining potential by exact and very accurate numerical results.  We analyze the quantum critical behaviors in the large trap-size limit within the framework of the trap-size scaling (TSS) theory, which introduces a n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.3334","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":"1003.3334","created_at":"2026-05-18T03:23:49.028204+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.3334v1","created_at":"2026-05-18T03:23:49.028204+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.3334","created_at":"2026-05-18T03:23:49.028204+00:00"},{"alias_kind":"pith_short_12","alias_value":"ILD3EDGIURD4","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"ILD3EDGIURD4LJU3","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"ILD3EDGI","created_at":"2026-05-18T12:26:09.077623+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/ILD3EDGIURD4LJU3HIH6GF2RG3","json":"https://pith.science/pith/ILD3EDGIURD4LJU3HIH6GF2RG3.json","graph_json":"https://pith.science/api/pith-number/ILD3EDGIURD4LJU3HIH6GF2RG3/graph.json","events_json":"https://pith.science/api/pith-number/ILD3EDGIURD4LJU3HIH6GF2RG3/events.json","paper":"https://pith.science/paper/ILD3EDGI"},"agent_actions":{"view_html":"https://pith.science/pith/ILD3EDGIURD4LJU3HIH6GF2RG3","download_json":"https://pith.science/pith/ILD3EDGIURD4LJU3HIH6GF2RG3.json","view_paper":"https://pith.science/paper/ILD3EDGI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.3334&json=true","fetch_graph":"https://pith.science/api/pith-number/ILD3EDGIURD4LJU3HIH6GF2RG3/graph.json","fetch_events":"https://pith.science/api/pith-number/ILD3EDGIURD4LJU3HIH6GF2RG3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ILD3EDGIURD4LJU3HIH6GF2RG3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ILD3EDGIURD4LJU3HIH6GF2RG3/action/storage_attestation","attest_author":"https://pith.science/pith/ILD3EDGIURD4LJU3HIH6GF2RG3/action/author_attestation","sign_citation":"https://pith.science/pith/ILD3EDGIURD4LJU3HIH6GF2RG3/action/citation_signature","submit_replication":"https://pith.science/pith/ILD3EDGIURD4LJU3HIH6GF2RG3/action/replication_record"}},"created_at":"2026-05-18T03:23:49.028204+00:00","updated_at":"2026-05-18T03:23:49.028204+00:00"}