{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:RJGEVR6SRPZBNLWYESQD6GUCP4","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":"616d6ca37702dae3f2309c71fc2ce295acfada7115dff761cabeba769fcd1616","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-10-22T21:02:56Z","title_canon_sha256":"a33adf18a2c11f1dcc1686114039f0b6aac49098062f3ecb1d47afdb7795cbb5"},"schema_version":"1.0","source":{"id":"0810.4163","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.4163","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"arxiv_version","alias_value":"0810.4163v2","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.4163","created_at":"2026-05-18T03:24:09Z"},{"alias_kind":"pith_short_12","alias_value":"RJGEVR6SRPZB","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"RJGEVR6SRPZBNLWY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"RJGEVR6S","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:985e2b520d582be878ea1943f16b781a78968c30cba5d099e823e6c68370bdad","target":"graph","created_at":"2026-05-18T03:24:09Z","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 consider the motion of an impurity particle in a general one-dimensional quantum fluid at zero temperature. The dispersion relation $\\Omega(P)$ of the impurity is strongly affected by interactions with the fluid as the momentum approaches $\\pm\\pi\\hbar n, \\pm 3\\pi\\hbar n, ...$, where $n$ is the density. This behavior is caused by singular $\\pm 2\\pi\\hbar n$ scattering processes and can be understood by analogy to the Kondo effect, both at strong and weak coupling, with the possibility of a quantum phase transition where $\\Omega'(\\pm \\pi n)$ jumps to zero with increasing coupling. The low ener","authors_text":"Austen Lamacraft","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-10-22T21:02:56Z","title":"Dispersion relation and spectral function of an impurity in a one-dimensional quantum liquid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.4163","kind":"arxiv","version":2},"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:bb5b6e61f79021de5f625041c23572af7b2f633e1f4704069b43cca9b9c8235e","target":"record","created_at":"2026-05-18T03:24:09Z","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":"616d6ca37702dae3f2309c71fc2ce295acfada7115dff761cabeba769fcd1616","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-10-22T21:02:56Z","title_canon_sha256":"a33adf18a2c11f1dcc1686114039f0b6aac49098062f3ecb1d47afdb7795cbb5"},"schema_version":"1.0","source":{"id":"0810.4163","kind":"arxiv","version":2}},"canonical_sha256":"8a4c4ac7d28bf216aed824a03f1a827f00b3d63e3550b4c687fdd3baa496c00f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a4c4ac7d28bf216aed824a03f1a827f00b3d63e3550b4c687fdd3baa496c00f","first_computed_at":"2026-05-18T03:24:09.399880Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:09.399880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pR9o0JSOAGgpBcRQ+o98NxxukTQ0ST8Dk6orgG8l7acK1B01iDkz7E0NuDyYo5hFnObegyY2OtcmWcabtNHMDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:09.400662Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.4163","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb5b6e61f79021de5f625041c23572af7b2f633e1f4704069b43cca9b9c8235e","sha256:985e2b520d582be878ea1943f16b781a78968c30cba5d099e823e6c68370bdad"],"state_sha256":"006416b3ddb6c2a87803d68a213ada0ad22e811daa227972a28c724078c25e39"}