{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:MVNIPA5BAXGO5NVMXRQJE2TWNL","short_pith_number":"pith:MVNIPA5B","canonical_record":{"source":{"id":"1001.1165","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-01-07T22:26:13Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"1b008486e394d67cab6363076ebdeaf93bdda51ae98c577057e78e8f344994e2","abstract_canon_sha256":"6498026760173ffac04daaf9cf57f7777a3b5bd98768957a3bf8bc1320f56510"},"schema_version":"1.0"},"canonical_sha256":"655a8783a105cceeb6acbc60926a766ad6d054e3d552e6f44c511212ff77e7cb","source":{"kind":"arxiv","id":"1001.1165","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.1165","created_at":"2026-05-18T02:10:03Z"},{"alias_kind":"arxiv_version","alias_value":"1001.1165v2","created_at":"2026-05-18T02:10:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.1165","created_at":"2026-05-18T02:10:03Z"},{"alias_kind":"pith_short_12","alias_value":"MVNIPA5BAXGO","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MVNIPA5BAXGO5NVM","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MVNIPA5B","created_at":"2026-05-18T12:26:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:MVNIPA5BAXGO5NVMXRQJE2TWNL","target":"record","payload":{"canonical_record":{"source":{"id":"1001.1165","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-01-07T22:26:13Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"1b008486e394d67cab6363076ebdeaf93bdda51ae98c577057e78e8f344994e2","abstract_canon_sha256":"6498026760173ffac04daaf9cf57f7777a3b5bd98768957a3bf8bc1320f56510"},"schema_version":"1.0"},"canonical_sha256":"655a8783a105cceeb6acbc60926a766ad6d054e3d552e6f44c511212ff77e7cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:10:03.983223Z","signature_b64":"g6wvnCSggS01mYE+yxbDqlkkBjpIgj0ug70VgeqlsfHqNt+j8+VZlitQEAKXyS8GJf6AKFw4a9d1rHXMHO5rBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"655a8783a105cceeb6acbc60926a766ad6d054e3d552e6f44c511212ff77e7cb","last_reissued_at":"2026-05-18T02:10:03.982476Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:10:03.982476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.1165","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:10:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zpUQGKgWlTrEHz8x7fmUOtI1VhrJlVfZ5CWfB8WW+saHU8tY3XzBJL6El+L6CynXrQV0lUfgdIXSsXwXi8L8AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:43:07.585477Z"},"content_sha256":"860b6e66bc3152cdd6c311f5bbe321f0e1f0ec9279ca26aa61d0b6ed9110cda0","schema_version":"1.0","event_id":"sha256:860b6e66bc3152cdd6c311f5bbe321f0e1f0ec9279ca26aa61d0b6ed9110cda0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:MVNIPA5BAXGO5NVMXRQJE2TWNL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement entropy and entanglement spectrum of the Kitaev model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.str-el","authors_text":"Hong Yao, Xiao-Liang Qi","submitted_at":"2010-01-07T22:26:13Z","abstract_excerpt":"In this paper, we obtain an exact formula for the entanglement entropy of the ground state and all excited states of the Kitaev model. Remarkably, the entanglement entropy can be expressed in a simple separable form S=S_G+S_F, with S_F the entanglement entropy of a free Majorana fermion system and S_G that of a Z_2 gauge field. The Z_2 gauge field part contributes to the universal \"topological entanglement entropy\" of the ground state while the fermion part is responsible for the non-local entanglement carried by the Z_2 vortices (visons) in the non-Abelian phase. Our result also enables the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.1165","kind":"arxiv","version":2},"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":"2026-05-18T02:10:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nZPTDio4JRJbhxKwFiTRCKahJbLwfK0wpjsScfhJs+B1/ZOAu/ocEr7JzVIidwtis2hzXo3TsQhiCj/QuqZ0BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:43:07.585830Z"},"content_sha256":"a3946d3e9d19f2e80f81a279176c92c8376da0ecba0f375abf53c8b5d0781775","schema_version":"1.0","event_id":"sha256:a3946d3e9d19f2e80f81a279176c92c8376da0ecba0f375abf53c8b5d0781775"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MVNIPA5BAXGO5NVMXRQJE2TWNL/bundle.json","state_url":"https://pith.science/pith/MVNIPA5BAXGO5NVMXRQJE2TWNL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MVNIPA5BAXGO5NVMXRQJE2TWNL/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":"2026-06-29T20:43:07Z","links":{"resolver":"https://pith.science/pith/MVNIPA5BAXGO5NVMXRQJE2TWNL","bundle":"https://pith.science/pith/MVNIPA5BAXGO5NVMXRQJE2TWNL/bundle.json","state":"https://pith.science/pith/MVNIPA5BAXGO5NVMXRQJE2TWNL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MVNIPA5BAXGO5NVMXRQJE2TWNL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:MVNIPA5BAXGO5NVMXRQJE2TWNL","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":"6498026760173ffac04daaf9cf57f7777a3b5bd98768957a3bf8bc1320f56510","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-01-07T22:26:13Z","title_canon_sha256":"1b008486e394d67cab6363076ebdeaf93bdda51ae98c577057e78e8f344994e2"},"schema_version":"1.0","source":{"id":"1001.1165","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.1165","created_at":"2026-05-18T02:10:03Z"},{"alias_kind":"arxiv_version","alias_value":"1001.1165v2","created_at":"2026-05-18T02:10:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.1165","created_at":"2026-05-18T02:10:03Z"},{"alias_kind":"pith_short_12","alias_value":"MVNIPA5BAXGO","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"MVNIPA5BAXGO5NVM","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"MVNIPA5B","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:a3946d3e9d19f2e80f81a279176c92c8376da0ecba0f375abf53c8b5d0781775","target":"graph","created_at":"2026-05-18T02:10:03Z","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":"In this paper, we obtain an exact formula for the entanglement entropy of the ground state and all excited states of the Kitaev model. Remarkably, the entanglement entropy can be expressed in a simple separable form S=S_G+S_F, with S_F the entanglement entropy of a free Majorana fermion system and S_G that of a Z_2 gauge field. The Z_2 gauge field part contributes to the universal \"topological entanglement entropy\" of the ground state while the fermion part is responsible for the non-local entanglement carried by the Z_2 vortices (visons) in the non-Abelian phase. Our result also enables the c","authors_text":"Hong Yao, Xiao-Liang Qi","cross_cats":["cond-mat.supr-con"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-01-07T22:26:13Z","title":"Entanglement entropy and entanglement spectrum of the Kitaev model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.1165","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":"sha256:860b6e66bc3152cdd6c311f5bbe321f0e1f0ec9279ca26aa61d0b6ed9110cda0","target":"record","created_at":"2026-05-18T02:10:03Z","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":"6498026760173ffac04daaf9cf57f7777a3b5bd98768957a3bf8bc1320f56510","cross_cats_sorted":["cond-mat.supr-con"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-01-07T22:26:13Z","title_canon_sha256":"1b008486e394d67cab6363076ebdeaf93bdda51ae98c577057e78e8f344994e2"},"schema_version":"1.0","source":{"id":"1001.1165","kind":"arxiv","version":2}},"canonical_sha256":"655a8783a105cceeb6acbc60926a766ad6d054e3d552e6f44c511212ff77e7cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"655a8783a105cceeb6acbc60926a766ad6d054e3d552e6f44c511212ff77e7cb","first_computed_at":"2026-05-18T02:10:03.982476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:03.982476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g6wvnCSggS01mYE+yxbDqlkkBjpIgj0ug70VgeqlsfHqNt+j8+VZlitQEAKXyS8GJf6AKFw4a9d1rHXMHO5rBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:03.983223Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.1165","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:860b6e66bc3152cdd6c311f5bbe321f0e1f0ec9279ca26aa61d0b6ed9110cda0","sha256:a3946d3e9d19f2e80f81a279176c92c8376da0ecba0f375abf53c8b5d0781775"],"state_sha256":"480f3328fbc31ae15ac427893dd3fa2769e6bea84ad664a21607c24f2e165cc2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dNbaukDtruQbwVprjwI2A43ii99sy6Cp82ujxyySMwvp/8/zFudULR6QkXGoWlm7kngFcdkN86H1yFtLyYl7Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T20:43:07.587728Z","bundle_sha256":"052284a3fd81fcdff93e61f875d801581becc74483b1b62a8a9a06699ec9c3cb"}}