{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:J7FHZY2Q2IFMY7Q6JH2ZRXAHOK","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":"de9c78404ae87c2f494048c5f093826b27c075de3c9ce36f6eccf1311dbfd1b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-11-03T16:02:14Z","title_canon_sha256":"96ce7417aafd912d2ad3a9f6a48e68cc04d938a17c80e63dace9cb3c34b16364"},"schema_version":"1.0","source":{"id":"1611.01073","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.01073","created_at":"2026-05-18T01:00:17Z"},{"alias_kind":"arxiv_version","alias_value":"1611.01073v1","created_at":"2026-05-18T01:00:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.01073","created_at":"2026-05-18T01:00:17Z"},{"alias_kind":"pith_short_12","alias_value":"J7FHZY2Q2IFM","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J7FHZY2Q2IFMY7Q6","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J7FHZY2Q","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:9f4a2121ef4707d89e217cab101328191dabd6f268e8e2f384fd509e76cde74b","target":"graph","created_at":"2026-05-18T01:00:17Z","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":"Using exact Bethe ansatz (BA) solutions, we show that a spin-down fermion immersed into a fully polarized spin-up Fermi sea with a weak attraction is dressed by the surrounding spin-up fermions to form the one-dimensional analog of a polaron. As the attraction becomes strong, the spin-down fermion binds with one spin-up fermion to form a tightly bound molecule. Throughout the whole interaction regime, a crossover from the polaron to a molecule state is fully demonstrated through exact results of the excitation spectrum, the effective mass, binding energy and kinetic energy. Furthermore, a clea","authors_text":"Biao Wu, Runxin Mao, X. W. Guan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-11-03T16:02:14Z","title":"Exact results for polaron and molecule in one-dimensional spin-1/2 Fermi gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.01073","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":"sha256:3e3d5bf94f8467e3cda3f8dd22a8cc2e77a1fdc86398802985c89aa5d656ac8f","target":"record","created_at":"2026-05-18T01:00:17Z","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":"de9c78404ae87c2f494048c5f093826b27c075de3c9ce36f6eccf1311dbfd1b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2016-11-03T16:02:14Z","title_canon_sha256":"96ce7417aafd912d2ad3a9f6a48e68cc04d938a17c80e63dace9cb3c34b16364"},"schema_version":"1.0","source":{"id":"1611.01073","kind":"arxiv","version":1}},"canonical_sha256":"4fca7ce350d20acc7e1e49f598dc07728bd60d460e125a4a50802bac6add97bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fca7ce350d20acc7e1e49f598dc07728bd60d460e125a4a50802bac6add97bc","first_computed_at":"2026-05-18T01:00:17.754156Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:17.754156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MBaLsr0BPNn93L9Dc0PcHYBtef6zS+hacbRq2o3JEl3cQZu4d/Fli9Eqx36g+5jpUdoqg+GH5Sn4Qkhik0SaBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:17.754878Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.01073","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e3d5bf94f8467e3cda3f8dd22a8cc2e77a1fdc86398802985c89aa5d656ac8f","sha256:9f4a2121ef4707d89e217cab101328191dabd6f268e8e2f384fd509e76cde74b"],"state_sha256":"c2103448f626817243f44d899979d7b94244e7faebeb814b2334232104c8bb2f"}