{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:YROABJ5ZG4DSO3LSXFLI46JU2Z","short_pith_number":"pith:YROABJ5Z","schema_version":"1.0","canonical_sha256":"c45c00a7b93707276d72b9568e7934d66f39af9c0e4f72af4bb222d4e88a3b81","source":{"kind":"arxiv","id":"1903.04900","version":1},"attestation_state":"computed","paper":{"title":"The 5-Way Scale","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.HO"],"primary_cat":"math.CO","authors_text":"Joshua Lee, Tanya Khovanova","submitted_at":"2019-03-08T20:58:51Z","abstract_excerpt":"In this paper, we discuss coin-weighing problems that use a 5-way scale which has five different possible outcomes: MUCH LESS, LESS, EQUAL, MORE, and MUCH MORE. The 5-way scale provides more information than the regular 3-way scale. We study the problem of finding two fake coins from a pile of identically looking coins in a minimal number of weighings using a 5-way scale. We discuss similarities and differences between the 5-way and 3-way scale. We introduce a strategy for a 5-way scale that can find both counterfeit coins among $2^k$ coins in $k+1$ weighings, which is better than any strategy"},"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":"1903.04900","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-03-08T20:58:51Z","cross_cats_sorted":["math.HO"],"title_canon_sha256":"df86ad85f50fb95403a1f1a22821a836113e1c0c539e73fc387cbdee11acb9a8","abstract_canon_sha256":"a785e00102bb8114d3ca4e9c3c6515c49fba0fd67e69511c5b01def1245c9f3d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:28.491489Z","signature_b64":"ftYZe6pYmb7ui3vGyaWNCzxpuINnX9bn37GNbicw4EomrvnS50FFlf72mlToq2buIXW15kaXJaSVyX63vhblDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c45c00a7b93707276d72b9568e7934d66f39af9c0e4f72af4bb222d4e88a3b81","last_reissued_at":"2026-05-17T23:51:28.490974Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:28.490974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The 5-Way Scale","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.HO"],"primary_cat":"math.CO","authors_text":"Joshua Lee, Tanya Khovanova","submitted_at":"2019-03-08T20:58:51Z","abstract_excerpt":"In this paper, we discuss coin-weighing problems that use a 5-way scale which has five different possible outcomes: MUCH LESS, LESS, EQUAL, MORE, and MUCH MORE. The 5-way scale provides more information than the regular 3-way scale. We study the problem of finding two fake coins from a pile of identically looking coins in a minimal number of weighings using a 5-way scale. We discuss similarities and differences between the 5-way and 3-way scale. We introduce a strategy for a 5-way scale that can find both counterfeit coins among $2^k$ coins in $k+1$ weighings, which is better than any strategy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.04900","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":"1903.04900","created_at":"2026-05-17T23:51:28.491038+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.04900v1","created_at":"2026-05-17T23:51:28.491038+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.04900","created_at":"2026-05-17T23:51:28.491038+00:00"},{"alias_kind":"pith_short_12","alias_value":"YROABJ5ZG4DS","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_16","alias_value":"YROABJ5ZG4DSO3LS","created_at":"2026-05-18T12:33:33.725879+00:00"},{"alias_kind":"pith_short_8","alias_value":"YROABJ5Z","created_at":"2026-05-18T12:33:33.725879+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/YROABJ5ZG4DSO3LSXFLI46JU2Z","json":"https://pith.science/pith/YROABJ5ZG4DSO3LSXFLI46JU2Z.json","graph_json":"https://pith.science/api/pith-number/YROABJ5ZG4DSO3LSXFLI46JU2Z/graph.json","events_json":"https://pith.science/api/pith-number/YROABJ5ZG4DSO3LSXFLI46JU2Z/events.json","paper":"https://pith.science/paper/YROABJ5Z"},"agent_actions":{"view_html":"https://pith.science/pith/YROABJ5ZG4DSO3LSXFLI46JU2Z","download_json":"https://pith.science/pith/YROABJ5ZG4DSO3LSXFLI46JU2Z.json","view_paper":"https://pith.science/paper/YROABJ5Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.04900&json=true","fetch_graph":"https://pith.science/api/pith-number/YROABJ5ZG4DSO3LSXFLI46JU2Z/graph.json","fetch_events":"https://pith.science/api/pith-number/YROABJ5ZG4DSO3LSXFLI46JU2Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YROABJ5ZG4DSO3LSXFLI46JU2Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YROABJ5ZG4DSO3LSXFLI46JU2Z/action/storage_attestation","attest_author":"https://pith.science/pith/YROABJ5ZG4DSO3LSXFLI46JU2Z/action/author_attestation","sign_citation":"https://pith.science/pith/YROABJ5ZG4DSO3LSXFLI46JU2Z/action/citation_signature","submit_replication":"https://pith.science/pith/YROABJ5ZG4DSO3LSXFLI46JU2Z/action/replication_record"}},"created_at":"2026-05-17T23:51:28.491038+00:00","updated_at":"2026-05-17T23:51:28.491038+00:00"}