{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QHN75DJKG5VQBYSTT74F3Y47PJ","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":"6b7cd47db768f40614fcfaf18e60da994149efa557fbc54dcd9c0e26cec1e31f","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-17T01:59:11Z","title_canon_sha256":"e01e1775c0213f46ae06d8100d28b546766f35ee3f1e317cfef580b996462319"},"schema_version":"1.0","source":{"id":"1009.3313","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.3313","created_at":"2026-05-18T02:05:25Z"},{"alias_kind":"arxiv_version","alias_value":"1009.3313v2","created_at":"2026-05-18T02:05:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.3313","created_at":"2026-05-18T02:05:25Z"},{"alias_kind":"pith_short_12","alias_value":"QHN75DJKG5VQ","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QHN75DJKG5VQBYST","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QHN75DJK","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:8c9242d1f9ee02e822533071d557c3fd754825e0aa1b22d1b559983af21b8ca6","target":"graph","created_at":"2026-05-18T02:05:25Z","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":"Renormalization of non-magnetic and magnetic impurities due to electron double occupancy prohibition is derived analytically by an improved Gutzwiller approximation. Non-magnetic impurities are effectively weakened by the same renormalization factor as that for the hopping amplitude, whereas magnetic impurities are strengthened by the square root of the spin-exchange renormalization factor, in contrast to results by the conventional Gutzwiller approximation. We demonstrate it by showing that transition matrix elements of number operators between assumed excited states and between an assumed gr","authors_text":"Noboru Fukushima","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-17T01:59:11Z","title":"Renormalization of transition matrix elements of particle number operators due to strong electron correlation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.3313","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:e8655720e785f5e124b925c47bc4a2be2b2c8d826e29d85c2dc695dea9cbf89d","target":"record","created_at":"2026-05-18T02:05:25Z","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":"6b7cd47db768f40614fcfaf18e60da994149efa557fbc54dcd9c0e26cec1e31f","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-09-17T01:59:11Z","title_canon_sha256":"e01e1775c0213f46ae06d8100d28b546766f35ee3f1e317cfef580b996462319"},"schema_version":"1.0","source":{"id":"1009.3313","kind":"arxiv","version":2}},"canonical_sha256":"81dbfe8d2a376b00e2539ff85de39f7a5601fd06819f0d7cf5579051abb37b35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81dbfe8d2a376b00e2539ff85de39f7a5601fd06819f0d7cf5579051abb37b35","first_computed_at":"2026-05-18T02:05:25.254092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:25.254092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9hc1JpIHYqJ9jHAuwphnaN5DV38M9sVyU0k6ZtGiTCwcVHKvQh4u/lQgPxR+vGgmqJbzCy+DkDZIx8Op5K21Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:25.254756Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.3313","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8655720e785f5e124b925c47bc4a2be2b2c8d826e29d85c2dc695dea9cbf89d","sha256:8c9242d1f9ee02e822533071d557c3fd754825e0aa1b22d1b559983af21b8ca6"],"state_sha256":"ddef2e78cd5611c45e27a6e02b4043ad68b8d5ad3393423904def9bc413de3ca"}