{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:6KDTUYQRHSLVXIBRR23XT5TIIS","short_pith_number":"pith:6KDTUYQR","schema_version":"1.0","canonical_sha256":"f2873a62113c975ba0318eb779f66844929be6c55e4adebc5735c737edb5d7f0","source":{"kind":"arxiv","id":"1606.00579","version":1},"attestation_state":"computed","paper":{"title":"Shape dependence and anisotropic finite-size scaling of the phase coherence of three-dimensional Bose-Einstein condensed gases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Ettore Vicari, Francesco Delfino, Giacomo Ceccarelli, Michele Mesiti","submitted_at":"2016-06-02T08:22:29Z","abstract_excerpt":"We investigate the equilibrium phase-coherence properties of Bose-condensed particle systems, focusing on their shape dependence and finite-size scaling (FSS). We consider three-dimensional (3D) homogeneous systems confined to anisotropic L x L x L_a boxes, below the BEC transition temperature $T_c$. We show that the phase correlations develop peculiar anisotropic FSS for any $T<T_c$, in the large-$L$ limit keeping the ratio \\lambda = L_a/L^2 fixed. This phenomenon is effectively described by the 3D spin-wave (SW) theory. Its universality is confirmed by quantum Monte Carlo simulations of the "},"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":"1606.00579","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-06-02T08:22:29Z","cross_cats_sorted":[],"title_canon_sha256":"21e32bef34874016280e1b99f4f3c85cf0341195bfadb748292aad73fa43ad91","abstract_canon_sha256":"a3fe1e13c2d2f9846954bc44d17a7c50cad22bc16c5f78d48efcb3b24bf35e5c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:24.884651Z","signature_b64":"bfDjLGtLy/kte6h2kaaE+iU5L6NBRw4WDuuTHy/PJRUBuEEf36CX1IwSJODsLE0e4qeoDLnU9GfgGwFhbvJcAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2873a62113c975ba0318eb779f66844929be6c55e4adebc5735c737edb5d7f0","last_reissued_at":"2026-05-18T00:59:24.884015Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:24.884015Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Shape dependence and anisotropic finite-size scaling of the phase coherence of three-dimensional Bose-Einstein condensed gases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Ettore Vicari, Francesco Delfino, Giacomo Ceccarelli, Michele Mesiti","submitted_at":"2016-06-02T08:22:29Z","abstract_excerpt":"We investigate the equilibrium phase-coherence properties of Bose-condensed particle systems, focusing on their shape dependence and finite-size scaling (FSS). We consider three-dimensional (3D) homogeneous systems confined to anisotropic L x L x L_a boxes, below the BEC transition temperature $T_c$. We show that the phase correlations develop peculiar anisotropic FSS for any $T<T_c$, in the large-$L$ limit keeping the ratio \\lambda = L_a/L^2 fixed. This phenomenon is effectively described by the 3D spin-wave (SW) theory. Its universality is confirmed by quantum Monte Carlo simulations of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00579","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":"1606.00579","created_at":"2026-05-18T00:59:24.884113+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.00579v1","created_at":"2026-05-18T00:59:24.884113+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00579","created_at":"2026-05-18T00:59:24.884113+00:00"},{"alias_kind":"pith_short_12","alias_value":"6KDTUYQRHSLV","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"6KDTUYQRHSLVXIBR","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"6KDTUYQR","created_at":"2026-05-18T12:30:01.593930+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/6KDTUYQRHSLVXIBRR23XT5TIIS","json":"https://pith.science/pith/6KDTUYQRHSLVXIBRR23XT5TIIS.json","graph_json":"https://pith.science/api/pith-number/6KDTUYQRHSLVXIBRR23XT5TIIS/graph.json","events_json":"https://pith.science/api/pith-number/6KDTUYQRHSLVXIBRR23XT5TIIS/events.json","paper":"https://pith.science/paper/6KDTUYQR"},"agent_actions":{"view_html":"https://pith.science/pith/6KDTUYQRHSLVXIBRR23XT5TIIS","download_json":"https://pith.science/pith/6KDTUYQRHSLVXIBRR23XT5TIIS.json","view_paper":"https://pith.science/paper/6KDTUYQR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.00579&json=true","fetch_graph":"https://pith.science/api/pith-number/6KDTUYQRHSLVXIBRR23XT5TIIS/graph.json","fetch_events":"https://pith.science/api/pith-number/6KDTUYQRHSLVXIBRR23XT5TIIS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6KDTUYQRHSLVXIBRR23XT5TIIS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6KDTUYQRHSLVXIBRR23XT5TIIS/action/storage_attestation","attest_author":"https://pith.science/pith/6KDTUYQRHSLVXIBRR23XT5TIIS/action/author_attestation","sign_citation":"https://pith.science/pith/6KDTUYQRHSLVXIBRR23XT5TIIS/action/citation_signature","submit_replication":"https://pith.science/pith/6KDTUYQRHSLVXIBRR23XT5TIIS/action/replication_record"}},"created_at":"2026-05-18T00:59:24.884113+00:00","updated_at":"2026-05-18T00:59:24.884113+00:00"}