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Within limits set by the transition width Delta T_c ~ 0.4 K, rho_s(T) shows no evidence of critical fluctuations as T goes to T_c, with a mean-field-like transition and no indication of vortex unbinding. Instead, we propose that rho_s displays the behaviour expected for a quantum phase transition in the (3 + 1)-dimensional XY universality class, with rho_s0 ~ (p - p_c), T_c ~ (p - p_c)^1/2 and rho_s(T) ~ (T_c - T)^1 as T goes to T_c."},"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":"cond-mat/0509223","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.supr-con","submitted_at":"2005-09-08T20:40:02Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"0118e8ae48932d0a6836c2c981978b7d0f7735c88d419040dc7f35a08f103f70","abstract_canon_sha256":"9089e9e0bcd39ad519bfddeff0f25f743648d58abe1ee9ba756ab82cf201b6b9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:50.111343Z","signature_b64":"FU8JuKPn6J0kDX9hYzs2WgBv8Gc4EM42HVc7xddokav5GcL9QKLv0f34jl7sIyjthHTBQ/ZFq7FlwQzPFtrHAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"629c65d6479ede893968a4b74ae68c292b1b7136af42733259938b730d7c9708","last_reissued_at":"2026-05-18T01:39:50.110624Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:50.110624Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Superfluid Density in a Highly Underdoped YBCO Superconductor","license":"","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.supr-con","authors_text":"B. 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Instead, we propose that rho_s displays the behaviour expected for a quantum phase transition in the (3 + 1)-dimensional XY universality class, with rho_s0 ~ (p - p_c), T_c ~ (p - p_c)^1/2 and rho_s(T) ~ (T_c - T)^1 as T goes to T_c."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0509223","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":"cond-mat/0509223","created_at":"2026-05-18T01:39:50.110743+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0509223v3","created_at":"2026-05-18T01:39:50.110743+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0509223","created_at":"2026-05-18T01:39:50.110743+00:00"},{"alias_kind":"pith_short_12","alias_value":"MKOGLVSHT3PI","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"MKOGLVSHT3PISOLI","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"MKOGLVSH","created_at":"2026-05-18T12:25:53.335082+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/MKOGLVSHT3PISOLIUS3UVZUMFE","json":"https://pith.science/pith/MKOGLVSHT3PISOLIUS3UVZUMFE.json","graph_json":"https://pith.science/api/pith-number/MKOGLVSHT3PISOLIUS3UVZUMFE/graph.json","events_json":"https://pith.science/api/pith-number/MKOGLVSHT3PISOLIUS3UVZUMFE/events.json","paper":"https://pith.science/paper/MKOGLVSH"},"agent_actions":{"view_html":"https://pith.science/pith/MKOGLVSHT3PISOLIUS3UVZUMFE","download_json":"https://pith.science/pith/MKOGLVSHT3PISOLIUS3UVZUMFE.json","view_paper":"https://pith.science/paper/MKOGLVSH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0509223&json=true","fetch_graph":"https://pith.science/api/pith-number/MKOGLVSHT3PISOLIUS3UVZUMFE/graph.json","fetch_events":"https://pith.science/api/pith-number/MKOGLVSHT3PISOLIUS3UVZUMFE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MKOGLVSHT3PISOLIUS3UVZUMFE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MKOGLVSHT3PISOLIUS3UVZUMFE/action/storage_attestation","attest_author":"https://pith.science/pith/MKOGLVSHT3PISOLIUS3UVZUMFE/action/author_attestation","sign_citation":"https://pith.science/pith/MKOGLVSHT3PISOLIUS3UVZUMFE/action/citation_signature","submit_replication":"https://pith.science/pith/MKOGLVSHT3PISOLIUS3UVZUMFE/action/replication_record"}},"created_at":"2026-05-18T01:39:50.110743+00:00","updated_at":"2026-05-18T01:39:50.110743+00:00"}