{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:NQBOU73A2NPHGY7OGISVN6FLFD","short_pith_number":"pith:NQBOU73A","schema_version":"1.0","canonical_sha256":"6c02ea7f60d35e7363ee322556f8ab28d6d72b74756fe6a4531d36a02248de77","source":{"kind":"arxiv","id":"0902.4514","version":2},"attestation_state":"computed","paper":{"title":"Analytical Expression of the Expected Values of Capital at Voting in the Stochastic Environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.MA","cs.SI","cs.SY","math.PR"],"primary_cat":"math.OC","authors_text":"Pavel Chebotarev","submitted_at":"2009-02-26T06:25:07Z","abstract_excerpt":"In the simplest version of the model of group decision making in the stochastic environment, the participants are segregated into egoists and a group of collectivists. A \"proposal of the environment\" is a stochastically generated vector of algebraic increments of participants' capitals. The social dynamics is determined by the sequence of proposals accepted by a majority voting (with a threshold) of the participants. In this paper, we obtain analytical expressions for the expected values of capitals for all the participants, including collectivists and egoists. In addition, distinctions betwee"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0902.4514","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2009-02-26T06:25:07Z","cross_cats_sorted":["cs.MA","cs.SI","cs.SY","math.PR"],"title_canon_sha256":"69e74ab9a3e6a762495ad970031fed57fa8ec5af68a957f4f80c756e4a85700d","abstract_canon_sha256":"655db5a765556deafcca4f4ea548b162d202042dc790350eb7505fb60ce19dea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:50.096998Z","signature_b64":"XNi++eWwSZcbxI8nDhME+aZGdNNP+w4EDQzagqamnh86UcAQjP9V1agxB7o1qQETajXtMAImSA7y0/qXL+RwAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c02ea7f60d35e7363ee322556f8ab28d6d72b74756fe6a4531d36a02248de77","last_reissued_at":"2026-05-18T04:20:50.096513Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:50.096513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytical Expression of the Expected Values of Capital at Voting in the Stochastic Environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.MA","cs.SI","cs.SY","math.PR"],"primary_cat":"math.OC","authors_text":"Pavel Chebotarev","submitted_at":"2009-02-26T06:25:07Z","abstract_excerpt":"In the simplest version of the model of group decision making in the stochastic environment, the participants are segregated into egoists and a group of collectivists. A \"proposal of the environment\" is a stochastically generated vector of algebraic increments of participants' capitals. The social dynamics is determined by the sequence of proposals accepted by a majority voting (with a threshold) of the participants. In this paper, we obtain analytical expressions for the expected values of capitals for all the participants, including collectivists and egoists. In addition, distinctions betwee"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.4514","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0902.4514","created_at":"2026-05-18T04:20:50.096591+00:00"},{"alias_kind":"arxiv_version","alias_value":"0902.4514v2","created_at":"2026-05-18T04:20:50.096591+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.4514","created_at":"2026-05-18T04:20:50.096591+00:00"},{"alias_kind":"pith_short_12","alias_value":"NQBOU73A2NPH","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_16","alias_value":"NQBOU73A2NPHGY7O","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_8","alias_value":"NQBOU73A","created_at":"2026-05-18T12:26:00.592388+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NQBOU73A2NPHGY7OGISVN6FLFD","json":"https://pith.science/pith/NQBOU73A2NPHGY7OGISVN6FLFD.json","graph_json":"https://pith.science/api/pith-number/NQBOU73A2NPHGY7OGISVN6FLFD/graph.json","events_json":"https://pith.science/api/pith-number/NQBOU73A2NPHGY7OGISVN6FLFD/events.json","paper":"https://pith.science/paper/NQBOU73A"},"agent_actions":{"view_html":"https://pith.science/pith/NQBOU73A2NPHGY7OGISVN6FLFD","download_json":"https://pith.science/pith/NQBOU73A2NPHGY7OGISVN6FLFD.json","view_paper":"https://pith.science/paper/NQBOU73A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0902.4514&json=true","fetch_graph":"https://pith.science/api/pith-number/NQBOU73A2NPHGY7OGISVN6FLFD/graph.json","fetch_events":"https://pith.science/api/pith-number/NQBOU73A2NPHGY7OGISVN6FLFD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NQBOU73A2NPHGY7OGISVN6FLFD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NQBOU73A2NPHGY7OGISVN6FLFD/action/storage_attestation","attest_author":"https://pith.science/pith/NQBOU73A2NPHGY7OGISVN6FLFD/action/author_attestation","sign_citation":"https://pith.science/pith/NQBOU73A2NPHGY7OGISVN6FLFD/action/citation_signature","submit_replication":"https://pith.science/pith/NQBOU73A2NPHGY7OGISVN6FLFD/action/replication_record"}},"created_at":"2026-05-18T04:20:50.096591+00:00","updated_at":"2026-05-18T04:20:50.096591+00:00"}