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For attractive impurity-medium couplings, the impurity becomes localized within the droplet which exhibits a density hump at the vicinity of the impurity, while repulsive interactions facilitate their phase-separation. ... the sign and magnitude of the interactions between the impurity and the droplet hosts dictate the response of the three-component setting which experiences expansion unless strongly attractive intercomponent couplings are present.","weakest_assumption":"That the chosen ab-initio many-body method (unspecified in the abstract) accurately captures all relevant correlations and that the extended Gross-Pitaevskii equation provides a meaningful benchmark without uncontrolled approximations in the 1D droplet regime."}},"verdict_id":"7f4fa41c-ff3c-4151-abf2-c8667a805d9f"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ab8e4c0cce3381fa0510e43f44c4bb03fd2bb2d047c9cb3bfe7150f75b5c2b5a","target":"record","created_at":"2026-06-10T01:11:00Z","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":"3fc04caad6c80b67304a93d1f09eb4e7312e4d1977441cc6cf600241e1868aa6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2026-04-29T10:49:53Z","title_canon_sha256":"db566293801191d129d401d2f72873521fe1e93cbc4d22874faaca4d1dc8a8ac"},"schema_version":"1.0","source":{"id":"2604.26528","kind":"arxiv","version":2}},"canonical_sha256":"3f4285698ef8e81300ecee6e0c93dcaca0e2c55efb0e629cef1ca2bf6d7ae111","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3f4285698ef8e81300ecee6e0c93dcaca0e2c55efb0e629cef1ca2bf6d7ae111","first_computed_at":"2026-06-10T01:11:00.764615Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:11:00.764615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gLwS0AC8kHErltOUGNjZmGqMu+WnnUH1UOq+FHQHQ2AkpHuzACmICgedTOPeRuzwODm1wnBceYCtGVxzwLlzBQ==","signature_status":"signed_v1","signed_at":"2026-06-10T01:11:00.765178Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.26528","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59fa3c8ea285eebe6c4a6eedc9217c89d283043c7805f8e4e1e600561e55770f","sha256:ab8e4c0cce3381fa0510e43f44c4bb03fd2bb2d047c9cb3bfe7150f75b5c2b5a","sha256:57f6c74507db323716c944ad1591682646ab3eb33174ea17e03fa3f9f4c03ec5"],"state_sha256":"617338a90288c00542fdc9790545d1df8dde6605861cde1111811f9f97320b50"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Cc9prJhtwVOimdVk53hpZcbo4E/7d7MWfVLLfZftJ4BLmoKj9bhv5ceohfg4F6Ooj/KUGCReyQKXGnttnz1BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T07:10:20.080372Z","bundle_sha256":"f95b5cc8912dc903c9ad9d9ecc911b26489d6d6ce109da20cfafe168c3adf5a2"}}