{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:3C2CBERLYTLKAETRTMPKTTLMZR","short_pith_number":"pith:3C2CBERL","schema_version":"1.0","canonical_sha256":"d8b420922bc4d6a012719b1ea9cd6ccc489ebd2121ee36399130a3edd4459ce4","source":{"kind":"arxiv","id":"2002.05987","version":3},"attestation_state":"computed","paper":{"title":"Eliminating the wave function singularity for ultracold atoms by similarity transformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Ali Alavi, Hongjun Luo, Joachim Brand, P\\'eter Jeszenszki, Ulrich Ebling","submitted_at":"2020-02-14T12:01:48Z","abstract_excerpt":"A hyperbolic singularity in the wave-function of $s$-wave interacting atoms is the root problem for any accurate numerical simulation. Here we apply the transcorrelated method, whereby the wave-function singularity is explicitly described by a two-body Jastrow factor, and then folded into the Hamiltonian via a similarity transformation. The resulting non-singular eigenfunctions are approximated by stochastic Fock-space diagonalisation with energy errors scaling with $1/M$ in the number $M$ of single-particle basis functions. The performance of the transcorrelated method is demonstrated on 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":"2002.05987","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2020-02-14T12:01:48Z","cross_cats_sorted":[],"title_canon_sha256":"8f558a13d91ca598e6ed597dded1d84bded43cec3bd735d6fe68ca6df6febc0a","abstract_canon_sha256":"106c3163d7e6c9299b279077a427cffc47c984133a2aeeb068bfabc28a27b014"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:53:19.055330Z","signature_b64":"B296YhfMTO1dJZFu8zoqGrsynaYt8HcMNkpf3x3YSVjYJJTBVdhnMxNO2HFHM9IzR2/4hvJGTSOhqA5QxJV6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8b420922bc4d6a012719b1ea9cd6ccc489ebd2121ee36399130a3edd4459ce4","last_reissued_at":"2026-07-05T01:53:19.054863Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:53:19.054863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Eliminating the wave function singularity for ultracold atoms by similarity transformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Ali Alavi, Hongjun Luo, Joachim Brand, P\\'eter Jeszenszki, Ulrich Ebling","submitted_at":"2020-02-14T12:01:48Z","abstract_excerpt":"A hyperbolic singularity in the wave-function of $s$-wave interacting atoms is the root problem for any accurate numerical simulation. Here we apply the transcorrelated method, whereby the wave-function singularity is explicitly described by a two-body Jastrow factor, and then folded into the Hamiltonian via a similarity transformation. The resulting non-singular eigenfunctions are approximated by stochastic Fock-space diagonalisation with energy errors scaling with $1/M$ in the number $M$ of single-particle basis functions. The performance of the transcorrelated method is demonstrated on the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.05987","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2002.05987/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":"2002.05987","created_at":"2026-07-05T01:53:19.054914+00:00"},{"alias_kind":"arxiv_version","alias_value":"2002.05987v3","created_at":"2026-07-05T01:53:19.054914+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.05987","created_at":"2026-07-05T01:53:19.054914+00:00"},{"alias_kind":"pith_short_12","alias_value":"3C2CBERLYTLK","created_at":"2026-07-05T01:53:19.054914+00:00"},{"alias_kind":"pith_short_16","alias_value":"3C2CBERLYTLKAETR","created_at":"2026-07-05T01:53:19.054914+00:00"},{"alias_kind":"pith_short_8","alias_value":"3C2CBERL","created_at":"2026-07-05T01:53:19.054914+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/3C2CBERLYTLKAETRTMPKTTLMZR","json":"https://pith.science/pith/3C2CBERLYTLKAETRTMPKTTLMZR.json","graph_json":"https://pith.science/api/pith-number/3C2CBERLYTLKAETRTMPKTTLMZR/graph.json","events_json":"https://pith.science/api/pith-number/3C2CBERLYTLKAETRTMPKTTLMZR/events.json","paper":"https://pith.science/paper/3C2CBERL"},"agent_actions":{"view_html":"https://pith.science/pith/3C2CBERLYTLKAETRTMPKTTLMZR","download_json":"https://pith.science/pith/3C2CBERLYTLKAETRTMPKTTLMZR.json","view_paper":"https://pith.science/paper/3C2CBERL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2002.05987&json=true","fetch_graph":"https://pith.science/api/pith-number/3C2CBERLYTLKAETRTMPKTTLMZR/graph.json","fetch_events":"https://pith.science/api/pith-number/3C2CBERLYTLKAETRTMPKTTLMZR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3C2CBERLYTLKAETRTMPKTTLMZR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3C2CBERLYTLKAETRTMPKTTLMZR/action/storage_attestation","attest_author":"https://pith.science/pith/3C2CBERLYTLKAETRTMPKTTLMZR/action/author_attestation","sign_citation":"https://pith.science/pith/3C2CBERLYTLKAETRTMPKTTLMZR/action/citation_signature","submit_replication":"https://pith.science/pith/3C2CBERLYTLKAETRTMPKTTLMZR/action/replication_record"}},"created_at":"2026-07-05T01:53:19.054914+00:00","updated_at":"2026-07-05T01:53:19.054914+00:00"}