{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:BSX6Q623SBH5XWHLDWPDPW4IQ5","short_pith_number":"pith:BSX6Q623","canonical_record":{"source":{"id":"1101.5828","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-01-30T22:45:42Z","cross_cats_sorted":["cs.GT"],"title_canon_sha256":"0f079d14994fd1abb5de86236eb20046e22352048bba0443239929c3f2e0a698","abstract_canon_sha256":"f0c997d92a150e94e78d2edb9f807668e3e1e005940790e6567cfc655b4c898e"},"schema_version":"1.0"},"canonical_sha256":"0cafe87b5b904fdbd8eb1d9e37db8887750e9a24b11e36ffe61c9b9f8989e98b","source":{"kind":"arxiv","id":"1101.5828","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5828","created_at":"2026-05-18T02:03:20Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5828v2","created_at":"2026-05-18T02:03:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5828","created_at":"2026-05-18T02:03:20Z"},{"alias_kind":"pith_short_12","alias_value":"BSX6Q623SBH5","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BSX6Q623SBH5XWHL","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BSX6Q623","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:BSX6Q623SBH5XWHLDWPDPW4IQ5","target":"record","payload":{"canonical_record":{"source":{"id":"1101.5828","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-01-30T22:45:42Z","cross_cats_sorted":["cs.GT"],"title_canon_sha256":"0f079d14994fd1abb5de86236eb20046e22352048bba0443239929c3f2e0a698","abstract_canon_sha256":"f0c997d92a150e94e78d2edb9f807668e3e1e005940790e6567cfc655b4c898e"},"schema_version":"1.0"},"canonical_sha256":"0cafe87b5b904fdbd8eb1d9e37db8887750e9a24b11e36ffe61c9b9f8989e98b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:20.304348Z","signature_b64":"x35AB4NaHHddPKaxlIQWPTplUHNB0U7ApLNPocISHpW2nx74hoZNiEp74h8ppxdcP+qSee0OONKgqvgHIraoBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0cafe87b5b904fdbd8eb1d9e37db8887750e9a24b11e36ffe61c9b9f8989e98b","last_reissued_at":"2026-05-18T02:03:20.303673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:20.303673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.5828","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":"2026-05-18T02:03:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6lGimWjBmi/GesZ70YbeWyFWppMiOi6a37q6Up8xZ4GtppQjTFMSeLz5sjABLHPKrgAPPvXas2Yt0ixu7OS6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:44:32.632442Z"},"content_sha256":"5ff719606c899f43275db01bccb0ff87464e31d24649a62ca052d4d8d3d4c7ae","schema_version":"1.0","event_id":"sha256:5ff719606c899f43275db01bccb0ff87464e31d24649a62ca052d4d8d3d4c7ae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:BSX6Q623SBH5XWHLDWPDPW4IQ5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Full Strategy Minority Game","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.GT"],"primary_cat":"physics.soc-ph","authors_text":"Gabriel Acosta, In\\'es Caridi, Javier Marenco, Sebasti\\'an Guala","submitted_at":"2011-01-30T22:45:42Z","abstract_excerpt":"The Full Strategy Minority Game (FSMG) is an instance of the Minority Game (MG) which includes a single copy of every potential agent. In this work, we explicitly solve the FSMG thanks to certain symmetries of this game. Furthermore, by considering the MG as a statistical sample of the FSMG, we compute approximated values of the key variable {\\sigma}2/N in the symmetric phase for different versions of the MG. As another application we prove that our results can be easily modified in order to handle certain kind of initial biased strategies scores, in particular when the bias is introduced at t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5828","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":"2026-05-18T02:03:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PeEt/TwQYqEj+qil7cZ1/crhiue0xGZ4dvJNM+ZZu8mc1FB9Zcb91IT060RSrNr7U5Nw6Ndx6ogNFZgYhWP+Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T08:44:32.633071Z"},"content_sha256":"9749d0f695f44dc379daed60229a6919e78fb726488b3830e1b0dc0e49a22bfb","schema_version":"1.0","event_id":"sha256:9749d0f695f44dc379daed60229a6919e78fb726488b3830e1b0dc0e49a22bfb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BSX6Q623SBH5XWHLDWPDPW4IQ5/bundle.json","state_url":"https://pith.science/pith/BSX6Q623SBH5XWHLDWPDPW4IQ5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BSX6Q623SBH5XWHLDWPDPW4IQ5/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":"2026-05-31T08:44:32Z","links":{"resolver":"https://pith.science/pith/BSX6Q623SBH5XWHLDWPDPW4IQ5","bundle":"https://pith.science/pith/BSX6Q623SBH5XWHLDWPDPW4IQ5/bundle.json","state":"https://pith.science/pith/BSX6Q623SBH5XWHLDWPDPW4IQ5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BSX6Q623SBH5XWHLDWPDPW4IQ5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BSX6Q623SBH5XWHLDWPDPW4IQ5","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":"f0c997d92a150e94e78d2edb9f807668e3e1e005940790e6567cfc655b4c898e","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-01-30T22:45:42Z","title_canon_sha256":"0f079d14994fd1abb5de86236eb20046e22352048bba0443239929c3f2e0a698"},"schema_version":"1.0","source":{"id":"1101.5828","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5828","created_at":"2026-05-18T02:03:20Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5828v2","created_at":"2026-05-18T02:03:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5828","created_at":"2026-05-18T02:03:20Z"},{"alias_kind":"pith_short_12","alias_value":"BSX6Q623SBH5","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BSX6Q623SBH5XWHL","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BSX6Q623","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:9749d0f695f44dc379daed60229a6919e78fb726488b3830e1b0dc0e49a22bfb","target":"graph","created_at":"2026-05-18T02:03:20Z","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 Full Strategy Minority Game (FSMG) is an instance of the Minority Game (MG) which includes a single copy of every potential agent. In this work, we explicitly solve the FSMG thanks to certain symmetries of this game. Furthermore, by considering the MG as a statistical sample of the FSMG, we compute approximated values of the key variable {\\sigma}2/N in the symmetric phase for different versions of the MG. As another application we prove that our results can be easily modified in order to handle certain kind of initial biased strategies scores, in particular when the bias is introduced at t","authors_text":"Gabriel Acosta, In\\'es Caridi, Javier Marenco, Sebasti\\'an Guala","cross_cats":["cs.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-01-30T22:45:42Z","title":"The Full Strategy Minority Game"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5828","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":"sha256:5ff719606c899f43275db01bccb0ff87464e31d24649a62ca052d4d8d3d4c7ae","target":"record","created_at":"2026-05-18T02:03:20Z","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":"f0c997d92a150e94e78d2edb9f807668e3e1e005940790e6567cfc655b4c898e","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-01-30T22:45:42Z","title_canon_sha256":"0f079d14994fd1abb5de86236eb20046e22352048bba0443239929c3f2e0a698"},"schema_version":"1.0","source":{"id":"1101.5828","kind":"arxiv","version":2}},"canonical_sha256":"0cafe87b5b904fdbd8eb1d9e37db8887750e9a24b11e36ffe61c9b9f8989e98b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cafe87b5b904fdbd8eb1d9e37db8887750e9a24b11e36ffe61c9b9f8989e98b","first_computed_at":"2026-05-18T02:03:20.303673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:20.303673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x35AB4NaHHddPKaxlIQWPTplUHNB0U7ApLNPocISHpW2nx74hoZNiEp74h8ppxdcP+qSee0OONKgqvgHIraoBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:20.304348Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5828","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5ff719606c899f43275db01bccb0ff87464e31d24649a62ca052d4d8d3d4c7ae","sha256:9749d0f695f44dc379daed60229a6919e78fb726488b3830e1b0dc0e49a22bfb"],"state_sha256":"3d441e008ea5ec1c3fe0c5c58894cf5f21467643f49faa1877f60d32c963e058"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w3hkfk8D629T6KYBfDm5FqaMuGS6G1vwtQnRr+TMk9xxe++TvGspb7MfFdmu47tgflsxbaI0FCeLtvCjOrtZBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T08:44:32.636394Z","bundle_sha256":"c92760118079a1312690883ac00e3dcd244a24eea636e1fb42ac54d2cc2fb4d6"}}