{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:3VGSNEW5I2TKYFUJT5ZS35QKMD","short_pith_number":"pith:3VGSNEW5","schema_version":"1.0","canonical_sha256":"dd4d2692dd46a6ac16899f732df60a60fe1beeb1d380c0cf10092609092fd256","source":{"kind":"arxiv","id":"1710.09473","version":1},"attestation_state":"computed","paper":{"title":"Spin-1 two-impurity Kondo problem on a lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A. Allerdt, A. E. Feiguin, R. Zitko","submitted_at":"2017-10-25T21:50:53Z","abstract_excerpt":"We present an extensive study of the two-impurity Kondo problem for spin-1 adatoms on square lattice using an exact canonical transformation to map the problem onto an effective one-dimensional system that can be numerically solved using the density matrix renormalization group method. We provide a simple intuitive picture and identify the different regimes, depending on the distance between the two impurities, Kondo coupling $J_K$, longitudinal anisotropy $D$, and transverse anisotropy $E$. In the isotropic case, two impurities on opposite(same) sublattices have a singlet(triplet) ground stat"},"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":"1710.09473","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-10-25T21:50:53Z","cross_cats_sorted":[],"title_canon_sha256":"8ad9159390314b7eb8a4afd39ec36791c3525117590c62e88cb7c1650aa3a04b","abstract_canon_sha256":"a350c09c15440f826349b796de9bb3debfe463d838ac3c3a1243c818b04d73aa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:24.309643Z","signature_b64":"zJjnU1zzA+Eq6BcibNRmftQfLLezRtRQ3+Dz6hlYaDbQs8B4T/OPXSIbi3Sz9o6oI3t09oJeDYUkugGru1g0CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd4d2692dd46a6ac16899f732df60a60fe1beeb1d380c0cf10092609092fd256","last_reissued_at":"2026-05-18T00:26:24.308900Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:24.308900Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spin-1 two-impurity Kondo problem on a lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A. Allerdt, A. E. Feiguin, R. Zitko","submitted_at":"2017-10-25T21:50:53Z","abstract_excerpt":"We present an extensive study of the two-impurity Kondo problem for spin-1 adatoms on square lattice using an exact canonical transformation to map the problem onto an effective one-dimensional system that can be numerically solved using the density matrix renormalization group method. We provide a simple intuitive picture and identify the different regimes, depending on the distance between the two impurities, Kondo coupling $J_K$, longitudinal anisotropy $D$, and transverse anisotropy $E$. In the isotropic case, two impurities on opposite(same) sublattices have a singlet(triplet) ground stat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.09473","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":""},"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":"1710.09473","created_at":"2026-05-18T00:26:24.309007+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.09473v1","created_at":"2026-05-18T00:26:24.309007+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.09473","created_at":"2026-05-18T00:26:24.309007+00:00"},{"alias_kind":"pith_short_12","alias_value":"3VGSNEW5I2TK","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_16","alias_value":"3VGSNEW5I2TKYFUJ","created_at":"2026-05-18T12:30:58.224056+00:00"},{"alias_kind":"pith_short_8","alias_value":"3VGSNEW5","created_at":"2026-05-18T12:30:58.224056+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3VGSNEW5I2TKYFUJT5ZS35QKMD","json":"https://pith.science/pith/3VGSNEW5I2TKYFUJT5ZS35QKMD.json","graph_json":"https://pith.science/api/pith-number/3VGSNEW5I2TKYFUJT5ZS35QKMD/graph.json","events_json":"https://pith.science/api/pith-number/3VGSNEW5I2TKYFUJT5ZS35QKMD/events.json","paper":"https://pith.science/paper/3VGSNEW5"},"agent_actions":{"view_html":"https://pith.science/pith/3VGSNEW5I2TKYFUJT5ZS35QKMD","download_json":"https://pith.science/pith/3VGSNEW5I2TKYFUJT5ZS35QKMD.json","view_paper":"https://pith.science/paper/3VGSNEW5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.09473&json=true","fetch_graph":"https://pith.science/api/pith-number/3VGSNEW5I2TKYFUJT5ZS35QKMD/graph.json","fetch_events":"https://pith.science/api/pith-number/3VGSNEW5I2TKYFUJT5ZS35QKMD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3VGSNEW5I2TKYFUJT5ZS35QKMD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3VGSNEW5I2TKYFUJT5ZS35QKMD/action/storage_attestation","attest_author":"https://pith.science/pith/3VGSNEW5I2TKYFUJT5ZS35QKMD/action/author_attestation","sign_citation":"https://pith.science/pith/3VGSNEW5I2TKYFUJT5ZS35QKMD/action/citation_signature","submit_replication":"https://pith.science/pith/3VGSNEW5I2TKYFUJT5ZS35QKMD/action/replication_record"}},"created_at":"2026-05-18T00:26:24.309007+00:00","updated_at":"2026-05-18T00:26:24.309007+00:00"}