{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KEZKAFEDUEGQ4VRKLEGFSDMNDC","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":"78112cba876329946bbf7e5912a84a8d96ba81c94e84da2a4b300e0907887774","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-19T15:37:34Z","title_canon_sha256":"42b369aa8981da9482c50ccbef3be1346053ad3b8e7d2856345cffaba3fc822a"},"schema_version":"1.0","source":{"id":"1708.05864","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.05864","created_at":"2026-05-18T00:37:43Z"},{"alias_kind":"arxiv_version","alias_value":"1708.05864v1","created_at":"2026-05-18T00:37:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.05864","created_at":"2026-05-18T00:37:43Z"},{"alias_kind":"pith_short_12","alias_value":"KEZKAFEDUEGQ","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KEZKAFEDUEGQ4VRK","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KEZKAFED","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:f5ddcf122f4a65529d911fc0f08da6545e086060b86c9beea0edda7aa18200c1","target":"graph","created_at":"2026-05-18T00:37:43Z","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 Plurality problem - introduced by Aigner \\cite{A2004} - has many variants. In this article we deal with the following version: suppose we are given $n$ balls, each of them colored by one of three colors. A \\textit{plurality ball} is one such that its color class is strictly larger than any other color class. Questioner wants to find a plurality ball as soon as possible or state there is no, by asking triplets (or $k$-sets, in general), while Adversary partition the triplets into color classes as an answer for the queries and wants to postpone the possibility of determining a plurality ball","authors_text":"D\\'aniel Gerbner, D\\'aniel Lenger, M\\'at\\'e Vizer","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-19T15:37:34Z","title":"A plurality problem with three colors and query size three"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.05864","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":"sha256:121f0e12bb9c26fdc1ee784721842c7cdb53f84583d524f7e8ab9ee1fe777016","target":"record","created_at":"2026-05-18T00:37:43Z","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":"78112cba876329946bbf7e5912a84a8d96ba81c94e84da2a4b300e0907887774","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-19T15:37:34Z","title_canon_sha256":"42b369aa8981da9482c50ccbef3be1346053ad3b8e7d2856345cffaba3fc822a"},"schema_version":"1.0","source":{"id":"1708.05864","kind":"arxiv","version":1}},"canonical_sha256":"5132a01483a10d0e562a590c590d8d18b0eec833b659837e8fbfc4249e92df54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5132a01483a10d0e562a590c590d8d18b0eec833b659837e8fbfc4249e92df54","first_computed_at":"2026-05-18T00:37:43.965303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:43.965303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UiOsD2/KClNioabo8NTyDl8uHxyNDUPEiIcsRSNWQbCZaJ4SJTSSXJdtxqYG862pomPcDVl4PQXWB93e+YToBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:43.966017Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.05864","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:121f0e12bb9c26fdc1ee784721842c7cdb53f84583d524f7e8ab9ee1fe777016","sha256:f5ddcf122f4a65529d911fc0f08da6545e086060b86c9beea0edda7aa18200c1"],"state_sha256":"1c3a20b131a4eca11df4c317e2352052d7b534edff06077738cfc50a8c42eb9c"}