{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:NT77MES7F3IZAO2YJXNWXE3PBE","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":"acdf811037c792e8d0a4da8cff0ffa9ad61bcce776d0a1cc4f31b72c4ccea4b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DL","submitted_at":"2013-07-13T06:34:44Z","title_canon_sha256":"01f6309f200860381a2fa1649f07222ee95175a56b6222ccd5b22c34e1a179a8"},"schema_version":"1.0","source":{"id":"1307.3616","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3616","created_at":"2026-05-18T03:18:28Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3616v1","created_at":"2026-05-18T03:18:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3616","created_at":"2026-05-18T03:18:28Z"},{"alias_kind":"pith_short_12","alias_value":"NT77MES7F3IZ","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_16","alias_value":"NT77MES7F3IZAO2Y","created_at":"2026-05-18T12:27:52Z"},{"alias_kind":"pith_short_8","alias_value":"NT77MES7","created_at":"2026-05-18T12:27:52Z"}],"graph_snapshots":[{"event_id":"sha256:5c7c8be19f216f5b390a3ba6bb1d9bc0291235ef330df31d3daa486b72937ba0","target":"graph","created_at":"2026-05-18T03:18:28Z","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 h-index provides us with nine natural classes which can be written as a matrix of three vectors. The three vectors are: X=(X1, X2, X3) indicate publication distribution in the h-core, the h-tail, and the uncited ones, respectively; Y=(Y1, Y2, Y3) denote the citation distribution of the h-core, the h-tail and the so-called \"excess\" citations (above the h-threshold), respectively; and Z=(Z1, Z2, Z3)= (Y1-X1, Y2-X2, Y3-X3). The matrix V=(X,Y,Z)T constructs a measure of academic performance, in which the nine numbers can all be provided with meanings in different dimensions. The \"academic trac","authors_text":"Fred Y. Ye, Loet Leydesdorff","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DL","submitted_at":"2013-07-13T06:34:44Z","title":"The \"Academic Trace\" of the Performance Matrix: A Mathematical Synthesis of the h-Index and the Integrated Impact Indicator (I3)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3616","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":"sha256:6a8b9ecd504b8eb1d50385ef2e7f3618837fa16c95a4e0642cb9ffca1f4d7167","target":"record","created_at":"2026-05-18T03:18:28Z","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":"acdf811037c792e8d0a4da8cff0ffa9ad61bcce776d0a1cc4f31b72c4ccea4b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DL","submitted_at":"2013-07-13T06:34:44Z","title_canon_sha256":"01f6309f200860381a2fa1649f07222ee95175a56b6222ccd5b22c34e1a179a8"},"schema_version":"1.0","source":{"id":"1307.3616","kind":"arxiv","version":1}},"canonical_sha256":"6cfff6125f2ed1903b584ddb6b936f0905a1bf24169802b917dfb0000a949731","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cfff6125f2ed1903b584ddb6b936f0905a1bf24169802b917dfb0000a949731","first_computed_at":"2026-05-18T03:18:28.390267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:28.390267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LiNhqRc2zBpf0m89UVemnK2eSMbl51oGTFqGTJ8uVaz/dgr/d9deTiRmHouPUdf7hCz6USp/zJECCMSatu8sAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:28.390828Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.3616","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a8b9ecd504b8eb1d50385ef2e7f3618837fa16c95a4e0642cb9ffca1f4d7167","sha256:5c7c8be19f216f5b390a3ba6bb1d9bc0291235ef330df31d3daa486b72937ba0"],"state_sha256":"bd40df24340663b69051b95dff05d560b2ee9b9484a489392740a301d9413d47"}