{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:5GRTKZOYJL6RGGU3MXHKGURMHB","short_pith_number":"pith:5GRTKZOY","canonical_record":{"source":{"id":"1207.1848","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2012-07-08T07:17:59Z","cross_cats_sorted":["cond-mat.stat-mech","physics.soc-ph"],"title_canon_sha256":"c6571609e56ea10ba113ffa3e378f41e2031706b02dec32e1a73937d76e8b856","abstract_canon_sha256":"5857ddde1b8ae091a060ccc577c8f670be817928d64b1ab1726cc195f31dd60a"},"schema_version":"1.0"},"canonical_sha256":"e9a33565d84afd131a9b65cea3522c3868247d74772735c33dc3b5fb11cd11fb","source":{"kind":"arxiv","id":"1207.1848","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1848","created_at":"2026-05-18T01:56:26Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1848v1","created_at":"2026-05-18T01:56:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1848","created_at":"2026-05-18T01:56:26Z"},{"alias_kind":"pith_short_12","alias_value":"5GRTKZOYJL6R","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5GRTKZOYJL6RGGU3","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5GRTKZOY","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:5GRTKZOYJL6RGGU3MXHKGURMHB","target":"record","payload":{"canonical_record":{"source":{"id":"1207.1848","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2012-07-08T07:17:59Z","cross_cats_sorted":["cond-mat.stat-mech","physics.soc-ph"],"title_canon_sha256":"c6571609e56ea10ba113ffa3e378f41e2031706b02dec32e1a73937d76e8b856","abstract_canon_sha256":"5857ddde1b8ae091a060ccc577c8f670be817928d64b1ab1726cc195f31dd60a"},"schema_version":"1.0"},"canonical_sha256":"e9a33565d84afd131a9b65cea3522c3868247d74772735c33dc3b5fb11cd11fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:26.970890Z","signature_b64":"XY7Q6wSs6oyfhhXn79S/1fADVo2d6XsmF8WW5mPBU33nEOljGtcyfr4/j3KFXZo1K5p5OB8Vs8HP466RutpJBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9a33565d84afd131a9b65cea3522c3868247d74772735c33dc3b5fb11cd11fb","last_reissued_at":"2026-05-18T01:56:26.970206Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:26.970206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.1848","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":"2026-05-18T01:56:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hbpGx8uuIfo/1FwwuSDbDpicT6CZJahUlF73TvdJTyF7cCf3fCLYCMM1sWgIoHymM7SqCG5HJnU0VA/jIXTtCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T01:29:13.660586Z"},"content_sha256":"e57f2c5470e2db46366260a6ae4850b2679b9e724b6447c7a3d11fcfa47c6dbe","schema_version":"1.0","event_id":"sha256:e57f2c5470e2db46366260a6ae4850b2679b9e724b6447c7a3d11fcfa47c6dbe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:5GRTKZOYJL6RGGU3MXHKGURMHB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Simple Non-Markovian Computational Model of the Statistics of Soccer Leagues: Emergence and Scaling effects","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.soc-ph"],"primary_cat":"physics.data-an","authors_text":"Luis Lamb, Mendeli Vainstein, Roberto da Silva, Sandra Prado","submitted_at":"2012-07-08T07:17:59Z","abstract_excerpt":"We propose a novel algorithm that outputs the final standings of a soccer league, based on a simple dynamics that mimics a soccer tournament. In our model, a team is created with a defined potential(ability) which is updated during the tournament according to the results of previous games. The updated potential modifies a teams' future winning/losing probabilities. We show that this evolutionary game is able to reproduce the statistical properties of final standings of actual editions of the Brazilian tournament (Brasileir\\~{a}o). However, other leagues such as the Italian and the Spanish tour"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1848","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":"2026-05-18T01:56:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H9wJ3dsO05G6Qd0ZiGDPf28KTVlmjhNIAdp+tteo8IADgB3Ard+sViZiN0vPayHmsdx6xRX/Bpp6ytlVsLMSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T01:29:13.661205Z"},"content_sha256":"26f9120bf3cfde3a5db957484026e6106fe374567d3e1aed5683e3128ee97eb7","schema_version":"1.0","event_id":"sha256:26f9120bf3cfde3a5db957484026e6106fe374567d3e1aed5683e3128ee97eb7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5GRTKZOYJL6RGGU3MXHKGURMHB/bundle.json","state_url":"https://pith.science/pith/5GRTKZOYJL6RGGU3MXHKGURMHB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5GRTKZOYJL6RGGU3MXHKGURMHB/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":"2026-06-11T01:29:13Z","links":{"resolver":"https://pith.science/pith/5GRTKZOYJL6RGGU3MXHKGURMHB","bundle":"https://pith.science/pith/5GRTKZOYJL6RGGU3MXHKGURMHB/bundle.json","state":"https://pith.science/pith/5GRTKZOYJL6RGGU3MXHKGURMHB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5GRTKZOYJL6RGGU3MXHKGURMHB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5GRTKZOYJL6RGGU3MXHKGURMHB","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":"5857ddde1b8ae091a060ccc577c8f670be817928d64b1ab1726cc195f31dd60a","cross_cats_sorted":["cond-mat.stat-mech","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2012-07-08T07:17:59Z","title_canon_sha256":"c6571609e56ea10ba113ffa3e378f41e2031706b02dec32e1a73937d76e8b856"},"schema_version":"1.0","source":{"id":"1207.1848","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.1848","created_at":"2026-05-18T01:56:26Z"},{"alias_kind":"arxiv_version","alias_value":"1207.1848v1","created_at":"2026-05-18T01:56:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.1848","created_at":"2026-05-18T01:56:26Z"},{"alias_kind":"pith_short_12","alias_value":"5GRTKZOYJL6R","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5GRTKZOYJL6RGGU3","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5GRTKZOY","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:26f9120bf3cfde3a5db957484026e6106fe374567d3e1aed5683e3128ee97eb7","target":"graph","created_at":"2026-05-18T01:56:26Z","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":"We propose a novel algorithm that outputs the final standings of a soccer league, based on a simple dynamics that mimics a soccer tournament. In our model, a team is created with a defined potential(ability) which is updated during the tournament according to the results of previous games. The updated potential modifies a teams' future winning/losing probabilities. We show that this evolutionary game is able to reproduce the statistical properties of final standings of actual editions of the Brazilian tournament (Brasileir\\~{a}o). However, other leagues such as the Italian and the Spanish tour","authors_text":"Luis Lamb, Mendeli Vainstein, Roberto da Silva, Sandra Prado","cross_cats":["cond-mat.stat-mech","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2012-07-08T07:17:59Z","title":"A Simple Non-Markovian Computational Model of the Statistics of Soccer Leagues: Emergence and Scaling effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.1848","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:e57f2c5470e2db46366260a6ae4850b2679b9e724b6447c7a3d11fcfa47c6dbe","target":"record","created_at":"2026-05-18T01:56:26Z","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":"5857ddde1b8ae091a060ccc577c8f670be817928d64b1ab1726cc195f31dd60a","cross_cats_sorted":["cond-mat.stat-mech","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2012-07-08T07:17:59Z","title_canon_sha256":"c6571609e56ea10ba113ffa3e378f41e2031706b02dec32e1a73937d76e8b856"},"schema_version":"1.0","source":{"id":"1207.1848","kind":"arxiv","version":1}},"canonical_sha256":"e9a33565d84afd131a9b65cea3522c3868247d74772735c33dc3b5fb11cd11fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9a33565d84afd131a9b65cea3522c3868247d74772735c33dc3b5fb11cd11fb","first_computed_at":"2026-05-18T01:56:26.970206Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:56:26.970206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XY7Q6wSs6oyfhhXn79S/1fADVo2d6XsmF8WW5mPBU33nEOljGtcyfr4/j3KFXZo1K5p5OB8Vs8HP466RutpJBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:56:26.970890Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.1848","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e57f2c5470e2db46366260a6ae4850b2679b9e724b6447c7a3d11fcfa47c6dbe","sha256:26f9120bf3cfde3a5db957484026e6106fe374567d3e1aed5683e3128ee97eb7"],"state_sha256":"3ea8c3736383ab4fefd4322bc25d906ffc210c74040c14e30e8b8532b5defd2a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NmfYOsQefKO8uQyW7LhdOKVS6xOIyRO3nQ3vc2gGwP1Ir4iCTp5YY1mz0DOkTxZ2AVy7hnyQLqS1GJZvSVg+Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T01:29:13.665129Z","bundle_sha256":"0d377d804ff1f11c240ae87a63675408e930f7fdd1985f8bd39af41d8041e475"}}