{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LKL4QFHO4LBO5G5T3JXUARELSO","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":"5a314df3c0531b6925a1da7025e04ebe87e36d03774a4d924f450bcc9ff6196a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-06-15T16:01:58Z","title_canon_sha256":"5f0c7d794223a18f874a94b5924a7501e5ff2a5498842d5e136fc70f34dd4980"},"schema_version":"1.0","source":{"id":"1706.04943","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.04943","created_at":"2026-05-18T00:42:18Z"},{"alias_kind":"arxiv_version","alias_value":"1706.04943v1","created_at":"2026-05-18T00:42:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04943","created_at":"2026-05-18T00:42:18Z"},{"alias_kind":"pith_short_12","alias_value":"LKL4QFHO4LBO","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LKL4QFHO4LBO5G5T","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LKL4QFHO","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:0291baf6920ad2482aab91ff51f9ddbd62a6be1c659ccf49e7469bd6bd33163e","target":"graph","created_at":"2026-05-18T00:42:18Z","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 paper presents a plus-minus rating for use in association football (soccer). We first describe the standard plus-minus methodology as used in basketball and ice-hockey and then adapt it for use in soccer. The usual goal-differential plus-minus is considered before two variations are proposed. For the first variation, we present a methodology to calculate an expected goals plus-minus rating. The second variation makes use of in-play probabilities of match outcome to evaluate an expected points plus-minus rating. We use the ratings to examine who are the best players in European football, an","authors_text":"Ian McHale, Javier L\\'opez Pe\\~na, Tarak Kharrat","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-06-15T16:01:58Z","title":"Plus-Minus Player Ratings for Soccer"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04943","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":"sha256:9b4641656206f2323fbe46f1df08967a5150f1067cb60b6383b71dc2743de635","target":"record","created_at":"2026-05-18T00:42:18Z","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":"5a314df3c0531b6925a1da7025e04ebe87e36d03774a4d924f450bcc9ff6196a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2017-06-15T16:01:58Z","title_canon_sha256":"5f0c7d794223a18f874a94b5924a7501e5ff2a5498842d5e136fc70f34dd4980"},"schema_version":"1.0","source":{"id":"1706.04943","kind":"arxiv","version":1}},"canonical_sha256":"5a97c814eee2c2ee9bb3da6f40448b938bb5deac6c88876a9a56e512fea990b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a97c814eee2c2ee9bb3da6f40448b938bb5deac6c88876a9a56e512fea990b0","first_computed_at":"2026-05-18T00:42:18.463293Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:18.463293Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"INAQUKrq1c6NpLhFC+YLtHsm1KSDT5y4rjkZH09f8NAyef/hNi1O/uGUcZfZgtiFW85aMNMj7uVtCAcL0KBPAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:18.463940Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.04943","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b4641656206f2323fbe46f1df08967a5150f1067cb60b6383b71dc2743de635","sha256:0291baf6920ad2482aab91ff51f9ddbd62a6be1c659ccf49e7469bd6bd33163e"],"state_sha256":"da9f1361e03c8295955279e1c89af2d727769e78f04d2d1e3ae2ccefb9748b09"}