{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:Z5RBO3L4Y6HX5MOKHMNOQFPMTU","short_pith_number":"pith:Z5RBO3L4","canonical_record":{"source":{"id":"0810.1738","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-10-09T20:08:32Z","cross_cats_sorted":[],"title_canon_sha256":"bacce0535cdd712c5dc6417c8da4afe1ce456d2a594b98969e44e23c4abfbe16","abstract_canon_sha256":"ca26a7d5d96f9b34115e0d977f0cd5617f02748fb03e64161e72b3234d42af5d"},"schema_version":"1.0"},"canonical_sha256":"cf62176d7cc78f7eb1ca3b1ae815ec9d217a659d9958af05e317ba6ab00ad672","source":{"kind":"arxiv","id":"0810.1738","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.1738","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"arxiv_version","alias_value":"0810.1738v1","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.1738","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"pith_short_12","alias_value":"Z5RBO3L4Y6HX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"Z5RBO3L4Y6HX5MOK","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"Z5RBO3L4","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:Z5RBO3L4Y6HX5MOKHMNOQFPMTU","target":"record","payload":{"canonical_record":{"source":{"id":"0810.1738","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-10-09T20:08:32Z","cross_cats_sorted":[],"title_canon_sha256":"bacce0535cdd712c5dc6417c8da4afe1ce456d2a594b98969e44e23c4abfbe16","abstract_canon_sha256":"ca26a7d5d96f9b34115e0d977f0cd5617f02748fb03e64161e72b3234d42af5d"},"schema_version":"1.0"},"canonical_sha256":"cf62176d7cc78f7eb1ca3b1ae815ec9d217a659d9958af05e317ba6ab00ad672","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:32.363616Z","signature_b64":"/OZvMLrk3bWuXzfm++G9LLyUiX+TMNYOqc4ft5VeVDLZpzQHAPAvjYSGYgT0mTXF2szBQZd1BTGuiv5Zp/mxBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf62176d7cc78f7eb1ca3b1ae815ec9d217a659d9958af05e317ba6ab00ad672","last_reissued_at":"2026-05-18T02:15:32.362876Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:32.362876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0810.1738","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:15:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hVSGvMnW9txTCjjxuVfgUD5LlSG8k0qrM9alCoQyo0/UwY0h9lEzLLkDO7t+fEYYBEIdslXXQ57CQwd2VK/IDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:52:22.981278Z"},"content_sha256":"f22f4a2c52157494c4b9073dee62dc6824e0bc2d75e2bda459f7860bc06ce6d1","schema_version":"1.0","event_id":"sha256:f22f4a2c52157494c4b9073dee62dc6824e0bc2d75e2bda459f7860bc06ce6d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:Z5RBO3L4Y6HX5MOKHMNOQFPMTU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Validity of Equation-of-Motion Approach to Kondo Problem in the Large-$N$ limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"C. S. Ting, Jian-Xin Zhu, Yunong Qi","submitted_at":"2008-10-09T20:08:32Z","abstract_excerpt":"The Anderson impurity model for Kondo problem is investigated for arbitrary orbit-spin degeneracy $N$ of the magnetic impurity by the equation of motion method (EOM). By employing a new decoupling scheme, a set self-consistent equations for the one-particle Green function are derived and numerically solved in the large-$N$ approximation. For the particle-hole symmetric Anderson model with finite Coulomb interaction $U$, we show that the Kondo resonance at the impurity site exists for all $N \\geq 2$. The approach removes the pathology in the standard EOM for N=2, and has the same level of appli"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.1738","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:15:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fTJxcfAesulzzDrfdyfgQflwJFJtdy4EN49tIbH0t8qvUxvh6+QdeBbqdYKByvuTcOScL0Vx1sMkTOczPzAWDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:52:22.981945Z"},"content_sha256":"569acb3b8b4dd48c358f89bbb08459806efe01f9bb21f670f1123139286c8828","schema_version":"1.0","event_id":"sha256:569acb3b8b4dd48c358f89bbb08459806efe01f9bb21f670f1123139286c8828"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z5RBO3L4Y6HX5MOKHMNOQFPMTU/bundle.json","state_url":"https://pith.science/pith/Z5RBO3L4Y6HX5MOKHMNOQFPMTU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z5RBO3L4Y6HX5MOKHMNOQFPMTU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-10T05:52:22Z","links":{"resolver":"https://pith.science/pith/Z5RBO3L4Y6HX5MOKHMNOQFPMTU","bundle":"https://pith.science/pith/Z5RBO3L4Y6HX5MOKHMNOQFPMTU/bundle.json","state":"https://pith.science/pith/Z5RBO3L4Y6HX5MOKHMNOQFPMTU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z5RBO3L4Y6HX5MOKHMNOQFPMTU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:Z5RBO3L4Y6HX5MOKHMNOQFPMTU","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":"ca26a7d5d96f9b34115e0d977f0cd5617f02748fb03e64161e72b3234d42af5d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-10-09T20:08:32Z","title_canon_sha256":"bacce0535cdd712c5dc6417c8da4afe1ce456d2a594b98969e44e23c4abfbe16"},"schema_version":"1.0","source":{"id":"0810.1738","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.1738","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"arxiv_version","alias_value":"0810.1738v1","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.1738","created_at":"2026-05-18T02:15:32Z"},{"alias_kind":"pith_short_12","alias_value":"Z5RBO3L4Y6HX","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"Z5RBO3L4Y6HX5MOK","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"Z5RBO3L4","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:569acb3b8b4dd48c358f89bbb08459806efe01f9bb21f670f1123139286c8828","target":"graph","created_at":"2026-05-18T02:15:32Z","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":"The Anderson impurity model for Kondo problem is investigated for arbitrary orbit-spin degeneracy $N$ of the magnetic impurity by the equation of motion method (EOM). By employing a new decoupling scheme, a set self-consistent equations for the one-particle Green function are derived and numerically solved in the large-$N$ approximation. For the particle-hole symmetric Anderson model with finite Coulomb interaction $U$, we show that the Kondo resonance at the impurity site exists for all $N \\geq 2$. The approach removes the pathology in the standard EOM for N=2, and has the same level of appli","authors_text":"C. S. Ting, Jian-Xin Zhu, Yunong Qi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-10-09T20:08:32Z","title":"Validity of Equation-of-Motion Approach to Kondo Problem in the Large-$N$ limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.1738","kind":"arxiv","version":1},"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:f22f4a2c52157494c4b9073dee62dc6824e0bc2d75e2bda459f7860bc06ce6d1","target":"record","created_at":"2026-05-18T02:15:32Z","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":"ca26a7d5d96f9b34115e0d977f0cd5617f02748fb03e64161e72b3234d42af5d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2008-10-09T20:08:32Z","title_canon_sha256":"bacce0535cdd712c5dc6417c8da4afe1ce456d2a594b98969e44e23c4abfbe16"},"schema_version":"1.0","source":{"id":"0810.1738","kind":"arxiv","version":1}},"canonical_sha256":"cf62176d7cc78f7eb1ca3b1ae815ec9d217a659d9958af05e317ba6ab00ad672","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf62176d7cc78f7eb1ca3b1ae815ec9d217a659d9958af05e317ba6ab00ad672","first_computed_at":"2026-05-18T02:15:32.362876Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:32.362876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/OZvMLrk3bWuXzfm++G9LLyUiX+TMNYOqc4ft5VeVDLZpzQHAPAvjYSGYgT0mTXF2szBQZd1BTGuiv5Zp/mxBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:32.363616Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.1738","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f22f4a2c52157494c4b9073dee62dc6824e0bc2d75e2bda459f7860bc06ce6d1","sha256:569acb3b8b4dd48c358f89bbb08459806efe01f9bb21f670f1123139286c8828"],"state_sha256":"f33ea0bc79fbfd1a10d9533e75d9d070aa6be3c0b1822b033ca18efa3158ed37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nDmQ9fRPVlQEAu9BmF0Oy5uIjOtNNvgNwlDW+FlPQhdicoihbYW0fv0Zhw+uHuCERECxRNSMysMWZJXm9HBSAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T05:52:22.986008Z","bundle_sha256":"60023300e375baee385b4f773d340505435837bba087aec5d9b824409b4856fa"}}