{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:AK5TVLIHZ2YXGJT2PH66G5CKA5","short_pith_number":"pith:AK5TVLIH","schema_version":"1.0","canonical_sha256":"02bb3aad07ceb173267a79fde3744a0757eceb8583ce71e54ae13646fe17c7f8","source":{"kind":"arxiv","id":"2406.10334","version":1},"attestation_state":"computed","paper":{"title":"A spin chain with non-Hermitian $\\mathscr{PT}-$symmetric boundary couplings: exact solution, dissipative Kondo effect, and phase transitions on the edge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"J. H. Pixley, Natan Andrei, Parameshwar R. Pasnoori, Pradip Kattel","submitted_at":"2024-06-14T18:00:01Z","abstract_excerpt":"We construct an exactly solvable $\\mathscr{PT}-$symmetric non-Hermitian model where a spin$-\\frac{1}{2}$ isotropic quantum Heisenberg spin chain is coupled to two spin$-\\frac{1}{2}$ Kondo impurities at its boundaries with coupling strengths that are complex conjugates of each other. Solving the model by means of a combination of the Bethe Ansatz and density matrix renormalization group (DMRG) techniques, we show that the model exhibits three distinct boundary phases: a $\\mathscr{PT}$ symmetric phase with a dissipative Kondo effect, a phase with bound modes and spontaneously broken $\\mathscr{PT"},"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":"2406.10334","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2024-06-14T18:00:01Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"title_canon_sha256":"25065e079ed19da788fda035c306838bfc75fb7299468cb16de7759e86be5986","abstract_canon_sha256":"c9c7174488b1a264651ee907447a8ffd51ea2a72abad6aaacf18d81284f0d70b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:37:42.078957Z","signature_b64":"gnPIDbaAe6UWr5bUmZq5WwND/YfV0vbixY9qH9usRvpRfVnWwA3rDcGF8Fbh6VKIlsfjN0xTXxeTDdVtUrMOAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02bb3aad07ceb173267a79fde3744a0757eceb8583ce71e54ae13646fe17c7f8","last_reissued_at":"2026-07-05T11:37:42.078249Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:37:42.078249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A spin chain with non-Hermitian $\\mathscr{PT}-$symmetric boundary couplings: exact solution, dissipative Kondo effect, and phase transitions on the edge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"J. H. Pixley, Natan Andrei, Parameshwar R. Pasnoori, Pradip Kattel","submitted_at":"2024-06-14T18:00:01Z","abstract_excerpt":"We construct an exactly solvable $\\mathscr{PT}-$symmetric non-Hermitian model where a spin$-\\frac{1}{2}$ isotropic quantum Heisenberg spin chain is coupled to two spin$-\\frac{1}{2}$ Kondo impurities at its boundaries with coupling strengths that are complex conjugates of each other. Solving the model by means of a combination of the Bethe Ansatz and density matrix renormalization group (DMRG) techniques, we show that the model exhibits three distinct boundary phases: a $\\mathscr{PT}$ symmetric phase with a dissipative Kondo effect, a phase with bound modes and spontaneously broken $\\mathscr{PT"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.10334","kind":"arxiv","version":1},"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/2406.10334/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":"2406.10334","created_at":"2026-07-05T11:37:42.078329+00:00"},{"alias_kind":"arxiv_version","alias_value":"2406.10334v1","created_at":"2026-07-05T11:37:42.078329+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.10334","created_at":"2026-07-05T11:37:42.078329+00:00"},{"alias_kind":"pith_short_12","alias_value":"AK5TVLIHZ2YX","created_at":"2026-07-05T11:37:42.078329+00:00"},{"alias_kind":"pith_short_16","alias_value":"AK5TVLIHZ2YXGJT2","created_at":"2026-07-05T11:37:42.078329+00:00"},{"alias_kind":"pith_short_8","alias_value":"AK5TVLIH","created_at":"2026-07-05T11:37:42.078329+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.18629","citing_title":"Holographic Dual of PT Symmetric BCFT","ref_index":31,"is_internal_anchor":false},{"citing_arxiv_id":"2402.09510","citing_title":"Dissipation driven phase transition in the non-Hermitian Kondo model","ref_index":25,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AK5TVLIHZ2YXGJT2PH66G5CKA5","json":"https://pith.science/pith/AK5TVLIHZ2YXGJT2PH66G5CKA5.json","graph_json":"https://pith.science/api/pith-number/AK5TVLIHZ2YXGJT2PH66G5CKA5/graph.json","events_json":"https://pith.science/api/pith-number/AK5TVLIHZ2YXGJT2PH66G5CKA5/events.json","paper":"https://pith.science/paper/AK5TVLIH"},"agent_actions":{"view_html":"https://pith.science/pith/AK5TVLIHZ2YXGJT2PH66G5CKA5","download_json":"https://pith.science/pith/AK5TVLIHZ2YXGJT2PH66G5CKA5.json","view_paper":"https://pith.science/paper/AK5TVLIH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2406.10334&json=true","fetch_graph":"https://pith.science/api/pith-number/AK5TVLIHZ2YXGJT2PH66G5CKA5/graph.json","fetch_events":"https://pith.science/api/pith-number/AK5TVLIHZ2YXGJT2PH66G5CKA5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AK5TVLIHZ2YXGJT2PH66G5CKA5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AK5TVLIHZ2YXGJT2PH66G5CKA5/action/storage_attestation","attest_author":"https://pith.science/pith/AK5TVLIHZ2YXGJT2PH66G5CKA5/action/author_attestation","sign_citation":"https://pith.science/pith/AK5TVLIHZ2YXGJT2PH66G5CKA5/action/citation_signature","submit_replication":"https://pith.science/pith/AK5TVLIHZ2YXGJT2PH66G5CKA5/action/replication_record"}},"created_at":"2026-07-05T11:37:42.078329+00:00","updated_at":"2026-07-05T11:37:42.078329+00:00"}