{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:KSGPGJGDUABEY2BCDKQNW2OVIO","short_pith_number":"pith:KSGPGJGD","schema_version":"1.0","canonical_sha256":"548cf324c3a0024c68221aa0db69d54380e1854e9c763e6f0e8c15c911683095","source":{"kind":"arxiv","id":"2310.13741","version":2},"attestation_state":"computed","paper":{"title":"On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.soft","cond-mat.str-el","cond-mat.supr-con","hep-th"],"primary_cat":"cond-mat.quant-gas","authors_text":"Dung Xuan Nguyen, Sergej Moroz","submitted_at":"2023-10-20T18:00:38Z","abstract_excerpt":"Despite a long history of studies of vortex crystals in rotating superfluids, their melting due to quantum fluctuations is poorly understood. Here we develop a fracton-elasticity duality to investigate a two-dimensional vortex lattice within the fast rotation regime, where the Lifshitz model of the collective Tkachenko mode serves as the leading-order low-energy effective theory. We incorporate topological defects and discuss several quantum melting scenarios triggered by their proliferation. Furthermore, we lay the groundwork for a dual non-linear emergent gravity description of the superflui"},"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":"2310.13741","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2023-10-20T18:00:38Z","cross_cats_sorted":["cond-mat.soft","cond-mat.str-el","cond-mat.supr-con","hep-th"],"title_canon_sha256":"96d01da09e605dc31f32f82aea40449165d2e74ad0323cd8df0b06d5a6089f14","abstract_canon_sha256":"6219dcbbcbd39f438cc214fc54230b8fba9d539b253252e069004111c3d3d0f7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:47:21.214034Z","signature_b64":"1paEfxlosdv8m3/b3qf6GEkwbZma0wQCJ7gJvl5Ku1nZMRruPCPGdQHOt15pwsSGVZGbHY/cEKLIJQomlB/eDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"548cf324c3a0024c68221aa0db69d54380e1854e9c763e6f0e8c15c911683095","last_reissued_at":"2026-07-05T09:47:21.213539Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:47:21.213539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On quantum melting of superfluid vortex crystals: from Lifshitz scalar to dual gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.soft","cond-mat.str-el","cond-mat.supr-con","hep-th"],"primary_cat":"cond-mat.quant-gas","authors_text":"Dung Xuan Nguyen, Sergej Moroz","submitted_at":"2023-10-20T18:00:38Z","abstract_excerpt":"Despite a long history of studies of vortex crystals in rotating superfluids, their melting due to quantum fluctuations is poorly understood. Here we develop a fracton-elasticity duality to investigate a two-dimensional vortex lattice within the fast rotation regime, where the Lifshitz model of the collective Tkachenko mode serves as the leading-order low-energy effective theory. We incorporate topological defects and discuss several quantum melting scenarios triggered by their proliferation. Furthermore, we lay the groundwork for a dual non-linear emergent gravity description of the superflui"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.13741","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2310.13741/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2310.13741","created_at":"2026-07-05T09:47:21.213591+00:00"},{"alias_kind":"arxiv_version","alias_value":"2310.13741v2","created_at":"2026-07-05T09:47:21.213591+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.13741","created_at":"2026-07-05T09:47:21.213591+00:00"},{"alias_kind":"pith_short_12","alias_value":"KSGPGJGDUABE","created_at":"2026-07-05T09:47:21.213591+00:00"},{"alias_kind":"pith_short_16","alias_value":"KSGPGJGDUABEY2BC","created_at":"2026-07-05T09:47:21.213591+00:00"},{"alias_kind":"pith_short_8","alias_value":"KSGPGJGD","created_at":"2026-07-05T09:47:21.213591+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.06666","citing_title":"Effective Field Theories for Material Media","ref_index":290,"is_internal_anchor":true},{"citing_arxiv_id":"2411.19620","citing_title":"Fractons on the edge","ref_index":45,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KSGPGJGDUABEY2BCDKQNW2OVIO","json":"https://pith.science/pith/KSGPGJGDUABEY2BCDKQNW2OVIO.json","graph_json":"https://pith.science/api/pith-number/KSGPGJGDUABEY2BCDKQNW2OVIO/graph.json","events_json":"https://pith.science/api/pith-number/KSGPGJGDUABEY2BCDKQNW2OVIO/events.json","paper":"https://pith.science/paper/KSGPGJGD"},"agent_actions":{"view_html":"https://pith.science/pith/KSGPGJGDUABEY2BCDKQNW2OVIO","download_json":"https://pith.science/pith/KSGPGJGDUABEY2BCDKQNW2OVIO.json","view_paper":"https://pith.science/paper/KSGPGJGD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2310.13741&json=true","fetch_graph":"https://pith.science/api/pith-number/KSGPGJGDUABEY2BCDKQNW2OVIO/graph.json","fetch_events":"https://pith.science/api/pith-number/KSGPGJGDUABEY2BCDKQNW2OVIO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KSGPGJGDUABEY2BCDKQNW2OVIO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KSGPGJGDUABEY2BCDKQNW2OVIO/action/storage_attestation","attest_author":"https://pith.science/pith/KSGPGJGDUABEY2BCDKQNW2OVIO/action/author_attestation","sign_citation":"https://pith.science/pith/KSGPGJGDUABEY2BCDKQNW2OVIO/action/citation_signature","submit_replication":"https://pith.science/pith/KSGPGJGDUABEY2BCDKQNW2OVIO/action/replication_record"}},"created_at":"2026-07-05T09:47:21.213591+00:00","updated_at":"2026-07-05T09:47:21.213591+00:00"}