{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:LQ4MQXNMFJJXVOBLNOGLFU2SWA","short_pith_number":"pith:LQ4MQXNM","canonical_record":{"source":{"id":"1805.07996","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-05-21T11:38:23Z","cross_cats_sorted":[],"title_canon_sha256":"61bca67787d74f8b375271099bedf83acd3d4fb9fcd9b940dd44f26a5f5fe045","abstract_canon_sha256":"4b069ff38c66382a6bb13de117eb3a0672d624e51e45a9b3cba7bebd737fba3b"},"schema_version":"1.0"},"canonical_sha256":"5c38c85dac2a537ab82b6b8cb2d352b03e0c31db227287bb05a2fe3e8ac65644","source":{"kind":"arxiv","id":"1805.07996","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.07996","created_at":"2026-05-18T00:15:31Z"},{"alias_kind":"arxiv_version","alias_value":"1805.07996v1","created_at":"2026-05-18T00:15:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.07996","created_at":"2026-05-18T00:15:31Z"},{"alias_kind":"pith_short_12","alias_value":"LQ4MQXNMFJJX","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LQ4MQXNMFJJXVOBL","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LQ4MQXNM","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:LQ4MQXNMFJJXVOBLNOGLFU2SWA","target":"record","payload":{"canonical_record":{"source":{"id":"1805.07996","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-05-21T11:38:23Z","cross_cats_sorted":[],"title_canon_sha256":"61bca67787d74f8b375271099bedf83acd3d4fb9fcd9b940dd44f26a5f5fe045","abstract_canon_sha256":"4b069ff38c66382a6bb13de117eb3a0672d624e51e45a9b3cba7bebd737fba3b"},"schema_version":"1.0"},"canonical_sha256":"5c38c85dac2a537ab82b6b8cb2d352b03e0c31db227287bb05a2fe3e8ac65644","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:31.950308Z","signature_b64":"pkCjD5767JmZBvhRzl8I9GeXti+JnUV2BUr05w5YOCiH63BnTMB1EJnQ9g4GgCaAienmQOgwdwPyW/kFuyiPBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c38c85dac2a537ab82b6b8cb2d352b03e0c31db227287bb05a2fe3e8ac65644","last_reissued_at":"2026-05-18T00:15:31.949707Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:31.949707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.07996","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":"2026-05-18T00:15:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DOZK8UvmQ5oD02OZmtTMohjwEKHtCQBOZDhmde9JPd1tNTCgHONEbeoq7SOhDJbWgC/TV+5rldy3CKGi0eJrBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T19:27:57.491782Z"},"content_sha256":"f86e6f931da9e776fe8312b1816ba32a890b99e7b51c4f1fa3a243733c03715a","schema_version":"1.0","event_id":"sha256:f86e6f931da9e776fe8312b1816ba32a890b99e7b51c4f1fa3a243733c03715a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:LQ4MQXNMFJJXVOBLNOGLFU2SWA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comparing Two Partitions of Non-Equal Sets of Units","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Anu\\v{s}ka Ferligoj, Marjan Cugmas","submitted_at":"2018-05-21T11:38:23Z","abstract_excerpt":"Rand (1971) proposed what has since become a well-known index for comparing two partitions obtained on the same set of units. The index takes a value on the interval between 0 and 1, where a higher value indicates more similar partitions. Sometimes, e.g. when the units are observed in two time periods, the splitting and merging of clusters should be considered differently, according to the operationalization of the stability of clusters. The Rand Index is symmetric in the sense that both the splitting and merging of clusters lower the value of the index. In such a non-symmetric case, one of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.07996","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":"2026-05-18T00:15:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yNcXsI5hl9UFR9gSzeHsY5jarEV30TEYts9mjmFOGEo+u8CTLiKl3QgNPa2aoBQNVeR3DKrrTvNkUnoAU+wnDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T19:27:57.492133Z"},"content_sha256":"2fad0b245017d8859075ae5ce99d15fb65a0cf6367668bf350498c94ecefc23a","schema_version":"1.0","event_id":"sha256:2fad0b245017d8859075ae5ce99d15fb65a0cf6367668bf350498c94ecefc23a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LQ4MQXNMFJJXVOBLNOGLFU2SWA/bundle.json","state_url":"https://pith.science/pith/LQ4MQXNMFJJXVOBLNOGLFU2SWA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LQ4MQXNMFJJXVOBLNOGLFU2SWA/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":"2026-07-03T19:27:57Z","links":{"resolver":"https://pith.science/pith/LQ4MQXNMFJJXVOBLNOGLFU2SWA","bundle":"https://pith.science/pith/LQ4MQXNMFJJXVOBLNOGLFU2SWA/bundle.json","state":"https://pith.science/pith/LQ4MQXNMFJJXVOBLNOGLFU2SWA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LQ4MQXNMFJJXVOBLNOGLFU2SWA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LQ4MQXNMFJJXVOBLNOGLFU2SWA","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":"4b069ff38c66382a6bb13de117eb3a0672d624e51e45a9b3cba7bebd737fba3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-05-21T11:38:23Z","title_canon_sha256":"61bca67787d74f8b375271099bedf83acd3d4fb9fcd9b940dd44f26a5f5fe045"},"schema_version":"1.0","source":{"id":"1805.07996","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.07996","created_at":"2026-05-18T00:15:31Z"},{"alias_kind":"arxiv_version","alias_value":"1805.07996v1","created_at":"2026-05-18T00:15:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.07996","created_at":"2026-05-18T00:15:31Z"},{"alias_kind":"pith_short_12","alias_value":"LQ4MQXNMFJJX","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LQ4MQXNMFJJXVOBL","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LQ4MQXNM","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:2fad0b245017d8859075ae5ce99d15fb65a0cf6367668bf350498c94ecefc23a","target":"graph","created_at":"2026-05-18T00:15:31Z","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":"Rand (1971) proposed what has since become a well-known index for comparing two partitions obtained on the same set of units. The index takes a value on the interval between 0 and 1, where a higher value indicates more similar partitions. Sometimes, e.g. when the units are observed in two time periods, the splitting and merging of clusters should be considered differently, according to the operationalization of the stability of clusters. The Rand Index is symmetric in the sense that both the splitting and merging of clusters lower the value of the index. In such a non-symmetric case, one of th","authors_text":"Anu\\v{s}ka Ferligoj, Marjan Cugmas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-05-21T11:38:23Z","title":"Comparing Two Partitions of Non-Equal Sets of Units"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.07996","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:f86e6f931da9e776fe8312b1816ba32a890b99e7b51c4f1fa3a243733c03715a","target":"record","created_at":"2026-05-18T00:15:31Z","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":"4b069ff38c66382a6bb13de117eb3a0672d624e51e45a9b3cba7bebd737fba3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-05-21T11:38:23Z","title_canon_sha256":"61bca67787d74f8b375271099bedf83acd3d4fb9fcd9b940dd44f26a5f5fe045"},"schema_version":"1.0","source":{"id":"1805.07996","kind":"arxiv","version":1}},"canonical_sha256":"5c38c85dac2a537ab82b6b8cb2d352b03e0c31db227287bb05a2fe3e8ac65644","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c38c85dac2a537ab82b6b8cb2d352b03e0c31db227287bb05a2fe3e8ac65644","first_computed_at":"2026-05-18T00:15:31.949707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:31.949707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pkCjD5767JmZBvhRzl8I9GeXti+JnUV2BUr05w5YOCiH63BnTMB1EJnQ9g4GgCaAienmQOgwdwPyW/kFuyiPBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:31.950308Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.07996","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f86e6f931da9e776fe8312b1816ba32a890b99e7b51c4f1fa3a243733c03715a","sha256:2fad0b245017d8859075ae5ce99d15fb65a0cf6367668bf350498c94ecefc23a"],"state_sha256":"db03503abc819a221bef421e262b101a338c386492025575007ef64490216164"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kjcn/w8haR5qTJlikChms2nTmU6A64yRPYLXGzottsDaUn+zOXsoXOj//vTexp+2HOzwW1YRiNFQUE0PciuKAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T19:27:57.494145Z","bundle_sha256":"7c8bac54f96a5ec596c1dbd050ee9815a04c65a49d1306458efc4f13d3dd585e"}}