{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:AV72BKFTR52JEGE7XFOJOM7G6J","short_pith_number":"pith:AV72BKFT","schema_version":"1.0","canonical_sha256":"057fa0a8b38f7492189fb95c9733e6f25219471bf08ade1dd109836716e7a919","source":{"kind":"arxiv","id":"1412.4247","version":1},"attestation_state":"computed","paper":{"title":"Searching for knights and spies: a majority/minority game","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Mark Wildon","submitted_at":"2014-12-13T15:35:53Z","abstract_excerpt":"There are n people, each of whom is either a knight or a spy. It is known that at least k knights are present, where n/2 < k < n. Knights always tell the truth. We consider both spies who always lie and spies who answer as they see fit. This paper determines the number of questions required to find a spy or prove that everyone in the room is a knight. We also determine the minimum number of questions needed to find at least one person's identity, or a nominated person's identity, or to find a spy (under the assumption that a spy is present). For spies who always lie, we prove that these search"},"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":"1412.4247","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-12-13T15:35:53Z","cross_cats_sorted":[],"title_canon_sha256":"645573dbb10895e6070f08b8d45da544b1ef09db4b4f58100f8a0096d91813d6","abstract_canon_sha256":"b6acb17ed99381ee2e4a98818e488f5eb0324b26ef3a7f907b035859c63f5cfc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:31:19.784984Z","signature_b64":"9MpoT45SLlzvZGE7Dqpd2A3b9UW2mjjcRk7/g3DtX8ZH0QjOJEfEpWqJWMwknVdNj7z4FuCwU2bbbUczC2hTCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"057fa0a8b38f7492189fb95c9733e6f25219471bf08ade1dd109836716e7a919","last_reissued_at":"2026-05-18T02:31:19.784350Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:31:19.784350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Searching for knights and spies: a majority/minority game","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Mark Wildon","submitted_at":"2014-12-13T15:35:53Z","abstract_excerpt":"There are n people, each of whom is either a knight or a spy. It is known that at least k knights are present, where n/2 < k < n. Knights always tell the truth. We consider both spies who always lie and spies who answer as they see fit. This paper determines the number of questions required to find a spy or prove that everyone in the room is a knight. We also determine the minimum number of questions needed to find at least one person's identity, or a nominated person's identity, or to find a spy (under the assumption that a spy is present). For spies who always lie, we prove that these search"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4247","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1412.4247","created_at":"2026-05-18T02:31:19.784473+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.4247v1","created_at":"2026-05-18T02:31:19.784473+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4247","created_at":"2026-05-18T02:31:19.784473+00:00"},{"alias_kind":"pith_short_12","alias_value":"AV72BKFTR52J","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_16","alias_value":"AV72BKFTR52JEGE7","created_at":"2026-05-18T12:28:19.803747+00:00"},{"alias_kind":"pith_short_8","alias_value":"AV72BKFT","created_at":"2026-05-18T12:28:19.803747+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/AV72BKFTR52JEGE7XFOJOM7G6J","json":"https://pith.science/pith/AV72BKFTR52JEGE7XFOJOM7G6J.json","graph_json":"https://pith.science/api/pith-number/AV72BKFTR52JEGE7XFOJOM7G6J/graph.json","events_json":"https://pith.science/api/pith-number/AV72BKFTR52JEGE7XFOJOM7G6J/events.json","paper":"https://pith.science/paper/AV72BKFT"},"agent_actions":{"view_html":"https://pith.science/pith/AV72BKFTR52JEGE7XFOJOM7G6J","download_json":"https://pith.science/pith/AV72BKFTR52JEGE7XFOJOM7G6J.json","view_paper":"https://pith.science/paper/AV72BKFT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.4247&json=true","fetch_graph":"https://pith.science/api/pith-number/AV72BKFTR52JEGE7XFOJOM7G6J/graph.json","fetch_events":"https://pith.science/api/pith-number/AV72BKFTR52JEGE7XFOJOM7G6J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AV72BKFTR52JEGE7XFOJOM7G6J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AV72BKFTR52JEGE7XFOJOM7G6J/action/storage_attestation","attest_author":"https://pith.science/pith/AV72BKFTR52JEGE7XFOJOM7G6J/action/author_attestation","sign_citation":"https://pith.science/pith/AV72BKFTR52JEGE7XFOJOM7G6J/action/citation_signature","submit_replication":"https://pith.science/pith/AV72BKFTR52JEGE7XFOJOM7G6J/action/replication_record"}},"created_at":"2026-05-18T02:31:19.784473+00:00","updated_at":"2026-05-18T02:31:19.784473+00:00"}