{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FWAMQ57SI6ZKFNWTOLVVOJZ2MG","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6b2ab0a25509c87652508543a7e4fb5842f1a9f98f50a6c4fe3925ae3256a539","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-08-11T21:35:11Z","title_canon_sha256":"dc13f816f78914fced945d3cb1d6baebcf7e92827df52f9f10c011c5b69ef9f9"},"schema_version":"1.0","source":{"id":"1408.2565","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.2565","created_at":"2026-05-18T02:39:10Z"},{"alias_kind":"arxiv_version","alias_value":"1408.2565v1","created_at":"2026-05-18T02:39:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2565","created_at":"2026-05-18T02:39:10Z"},{"alias_kind":"pith_short_12","alias_value":"FWAMQ57SI6ZK","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FWAMQ57SI6ZKFNWT","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FWAMQ57S","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:8fd317053c05ea665e1f373f705f9ac95e3938f1f356489b145295e21b2b0f5c","target":"graph","created_at":"2026-05-18T02:39:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We derive the ground-state energy for a small number of ultracold atoms in an isotropic harmonic trap using effective quantum field theory (EFT). Atoms are assumed to interact through pairwise energy-independent and energy-dependent delta-function potentials with strengths proportional to the scattering length $a$ and effective range volume $V$, respectively. The calculations are performed systematically up to order $l^{-4}$, where $l$ denotes the harmonic oscillator length. The effective three-body interaction contains a logarithmic divergence in the cutoff energy, giving rise to a non-univer","authors_text":"D. Blume, E. Tiesinga, P. R. Johnson, X. Y. Yin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-08-11T21:35:11Z","title":"Universal and non-universal effective $N$-body interactions for ultracold harmonically-trapped few-atom systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2565","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:be79206a05420348fe53c026c5a750fc4d5ca70ce3812f4a502ece3299652ce6","target":"record","created_at":"2026-05-18T02:39:10Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6b2ab0a25509c87652508543a7e4fb5842f1a9f98f50a6c4fe3925ae3256a539","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2014-08-11T21:35:11Z","title_canon_sha256":"dc13f816f78914fced945d3cb1d6baebcf7e92827df52f9f10c011c5b69ef9f9"},"schema_version":"1.0","source":{"id":"1408.2565","kind":"arxiv","version":1}},"canonical_sha256":"2d80c877f247b2a2b6d372eb57273a61b1965e063f76bb56bb8b1719dad0fa22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d80c877f247b2a2b6d372eb57273a61b1965e063f76bb56bb8b1719dad0fa22","first_computed_at":"2026-05-18T02:39:10.518436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:10.518436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nJiEu/jbnZ8YoGmbfI1TUWjj3gQubtaQldfwXQjidnoti+El6yqbwnmLpJjuPpP8hztQF0MIulcrKOkg26lmAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:10.519132Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.2565","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be79206a05420348fe53c026c5a750fc4d5ca70ce3812f4a502ece3299652ce6","sha256:8fd317053c05ea665e1f373f705f9ac95e3938f1f356489b145295e21b2b0f5c"],"state_sha256":"1482e92312d5d41c09e070278b6bf93bae5f7c4ed6e3742799da98eda92bad35"}