{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:J2J25NTVJV5BAQHOLZFOSJDRVA","short_pith_number":"pith:J2J25NTV","schema_version":"1.0","canonical_sha256":"4e93aeb6754d7a1040ee5e4ae92471a81353f0fc1a2ba474dbea2afba7847a75","source":{"kind":"arxiv","id":"0910.0603","version":3},"attestation_state":"computed","paper":{"title":"The stability of the low-dimensional mixtures of dilute quantum gases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.quant-gas","authors_text":"Yu-Li Lee, Yu-Wen Lee","submitted_at":"2009-10-04T13:12:58Z","abstract_excerpt":"We study the stability of the dilute Bose-Fermi and Bose-Bose mixtures with repulsive interactions in one and two dimensions in terms of the renormalization group. For the Bose-Fermi mixture, we show that the uniform mixture is stable against de-mixing in the dilute limit. For the Bose-Bose mixture, we give the stability conditions in the dilute limit. As a byproduct, we also calculate the critical temperature for the superfluid phase of the two-dimensional Bose-Fermi mixture in the extremely dilute limit."},"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":"0910.0603","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-10-04T13:12:58Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"37f64fa5f74b108ec3be36ec46aae8ffebcaa4f6c9a559a395d5c05e93d0e913","abstract_canon_sha256":"095a2b8a173ed38d6c1df8282702a25d6077a9eff1a6a2e04ce38b9adbcfdb6b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:36.386533Z","signature_b64":"1cv4h4zC1z2oEakbdRHPwC3wc4PKIqrU+ihYPqQYGrcg68URltt8TJkqcTsbUeCyy/7XkATJdbPMpVmWSwzYAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e93aeb6754d7a1040ee5e4ae92471a81353f0fc1a2ba474dbea2afba7847a75","last_reissued_at":"2026-05-18T04:24:36.386040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:36.386040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The stability of the low-dimensional mixtures of dilute quantum gases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.quant-gas","authors_text":"Yu-Li Lee, Yu-Wen Lee","submitted_at":"2009-10-04T13:12:58Z","abstract_excerpt":"We study the stability of the dilute Bose-Fermi and Bose-Bose mixtures with repulsive interactions in one and two dimensions in terms of the renormalization group. For the Bose-Fermi mixture, we show that the uniform mixture is stable against de-mixing in the dilute limit. For the Bose-Bose mixture, we give the stability conditions in the dilute limit. As a byproduct, we also calculate the critical temperature for the superfluid phase of the two-dimensional Bose-Fermi mixture in the extremely dilute limit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.0603","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0910.0603","created_at":"2026-05-18T04:24:36.386120+00:00"},{"alias_kind":"arxiv_version","alias_value":"0910.0603v3","created_at":"2026-05-18T04:24:36.386120+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.0603","created_at":"2026-05-18T04:24:36.386120+00:00"},{"alias_kind":"pith_short_12","alias_value":"J2J25NTVJV5B","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_16","alias_value":"J2J25NTVJV5BAQHO","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_8","alias_value":"J2J25NTV","created_at":"2026-05-18T12:26:00.592388+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/J2J25NTVJV5BAQHOLZFOSJDRVA","json":"https://pith.science/pith/J2J25NTVJV5BAQHOLZFOSJDRVA.json","graph_json":"https://pith.science/api/pith-number/J2J25NTVJV5BAQHOLZFOSJDRVA/graph.json","events_json":"https://pith.science/api/pith-number/J2J25NTVJV5BAQHOLZFOSJDRVA/events.json","paper":"https://pith.science/paper/J2J25NTV"},"agent_actions":{"view_html":"https://pith.science/pith/J2J25NTVJV5BAQHOLZFOSJDRVA","download_json":"https://pith.science/pith/J2J25NTVJV5BAQHOLZFOSJDRVA.json","view_paper":"https://pith.science/paper/J2J25NTV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0910.0603&json=true","fetch_graph":"https://pith.science/api/pith-number/J2J25NTVJV5BAQHOLZFOSJDRVA/graph.json","fetch_events":"https://pith.science/api/pith-number/J2J25NTVJV5BAQHOLZFOSJDRVA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J2J25NTVJV5BAQHOLZFOSJDRVA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J2J25NTVJV5BAQHOLZFOSJDRVA/action/storage_attestation","attest_author":"https://pith.science/pith/J2J25NTVJV5BAQHOLZFOSJDRVA/action/author_attestation","sign_citation":"https://pith.science/pith/J2J25NTVJV5BAQHOLZFOSJDRVA/action/citation_signature","submit_replication":"https://pith.science/pith/J2J25NTVJV5BAQHOLZFOSJDRVA/action/replication_record"}},"created_at":"2026-05-18T04:24:36.386120+00:00","updated_at":"2026-05-18T04:24:36.386120+00:00"}