{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:HOSWD2XYL2FYARAZ54CORKERBW","short_pith_number":"pith:HOSWD2XY","schema_version":"1.0","canonical_sha256":"3ba561eaf85e8b804419ef04e8a8910da0d3025504c6dc43207c8ad4afb940b2","source":{"kind":"arxiv","id":"1609.05603","version":1},"attestation_state":"computed","paper":{"title":"Effective indirect multi-site spin-spin interactions in the s-d(f) model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"D.M. Dzebisashvili, K.K. Komarov","submitted_at":"2016-09-19T05:53:58Z","abstract_excerpt":"Using the diagram technique for Matsubara Green's functions it is shown that the dynamics of the localized spin subsystem in the s-d(f) model can be described in terms of an effective spin model with multi-site spin-spin interactions. An exact representation of the action for the effective purely spin model is derived as an infinite series in powers of s-d(f) exchange interaction $J$. The indirect interactions of the 2-nd, 3-rd and 4-th order are discussed."},"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":"1609.05603","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-09-19T05:53:58Z","cross_cats_sorted":[],"title_canon_sha256":"a6c16a11508c3a2eebbd6b85cf8e1d331f1687978c6a7b700123b51d8a45895b","abstract_canon_sha256":"8fb5caa5c164de65270523d1b360b2a361aa139fe9ada632904bcd3efe3273da"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:39.090213Z","signature_b64":"/UKWipCdvKCwnn3WHluK4SeTCA5vbK75hEQhGVztbFIuLF+QbXyhtxAhtf8UYY5js0cHbAxDrqD5VWU3dPWhAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ba561eaf85e8b804419ef04e8a8910da0d3025504c6dc43207c8ad4afb940b2","last_reissued_at":"2026-05-18T00:41:39.089544Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:39.089544Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effective indirect multi-site spin-spin interactions in the s-d(f) model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"D.M. Dzebisashvili, K.K. Komarov","submitted_at":"2016-09-19T05:53:58Z","abstract_excerpt":"Using the diagram technique for Matsubara Green's functions it is shown that the dynamics of the localized spin subsystem in the s-d(f) model can be described in terms of an effective spin model with multi-site spin-spin interactions. An exact representation of the action for the effective purely spin model is derived as an infinite series in powers of s-d(f) exchange interaction $J$. The indirect interactions of the 2-nd, 3-rd and 4-th order are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05603","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":"1609.05603","created_at":"2026-05-18T00:41:39.089630+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.05603v1","created_at":"2026-05-18T00:41:39.089630+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05603","created_at":"2026-05-18T00:41:39.089630+00:00"},{"alias_kind":"pith_short_12","alias_value":"HOSWD2XYL2FY","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"HOSWD2XYL2FYARAZ","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"HOSWD2XY","created_at":"2026-05-18T12:30:19.053100+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/HOSWD2XYL2FYARAZ54CORKERBW","json":"https://pith.science/pith/HOSWD2XYL2FYARAZ54CORKERBW.json","graph_json":"https://pith.science/api/pith-number/HOSWD2XYL2FYARAZ54CORKERBW/graph.json","events_json":"https://pith.science/api/pith-number/HOSWD2XYL2FYARAZ54CORKERBW/events.json","paper":"https://pith.science/paper/HOSWD2XY"},"agent_actions":{"view_html":"https://pith.science/pith/HOSWD2XYL2FYARAZ54CORKERBW","download_json":"https://pith.science/pith/HOSWD2XYL2FYARAZ54CORKERBW.json","view_paper":"https://pith.science/paper/HOSWD2XY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.05603&json=true","fetch_graph":"https://pith.science/api/pith-number/HOSWD2XYL2FYARAZ54CORKERBW/graph.json","fetch_events":"https://pith.science/api/pith-number/HOSWD2XYL2FYARAZ54CORKERBW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HOSWD2XYL2FYARAZ54CORKERBW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HOSWD2XYL2FYARAZ54CORKERBW/action/storage_attestation","attest_author":"https://pith.science/pith/HOSWD2XYL2FYARAZ54CORKERBW/action/author_attestation","sign_citation":"https://pith.science/pith/HOSWD2XYL2FYARAZ54CORKERBW/action/citation_signature","submit_replication":"https://pith.science/pith/HOSWD2XYL2FYARAZ54CORKERBW/action/replication_record"}},"created_at":"2026-05-18T00:41:39.089630+00:00","updated_at":"2026-05-18T00:41:39.089630+00:00"}