{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:2IIV7Q7KTZVICMSKIZINNEASIK","short_pith_number":"pith:2IIV7Q7K","schema_version":"1.0","canonical_sha256":"d2115fc3ea9e6a81324a4650d6901242a9bf30cfb5734015609baee5dd2fd497","source":{"kind":"arxiv","id":"1010.5486","version":1},"attestation_state":"computed","paper":{"title":"Bachet's Problem: as few weights to weigh them all","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.NT"],"primary_cat":"math.HO","authors_text":"Edwin O'Shea","submitted_at":"2010-10-26T19:06:53Z","abstract_excerpt":"A problem that enjoys an enduring popularity asks: \"what is the least number of pound weights that can be used on a scale pan to weigh any integral number of pounds from 1 to 40 inclusive, if the weights can be placed in either of the scale pans ?\" W.W. Rouse Ball attributes the first recording of this problem to Bachet in the early 17th century, calling it \"Bachet's Weights Problem\". However, Bachet's problem stretches all the way back to Fibonacci in 1202, making it a viable candidate for the first problem of integer partitions. Remarkably, given the age of Bachet's problem, an elegant and s"},"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":"1010.5486","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2010-10-26T19:06:53Z","cross_cats_sorted":["math.CO","math.NT"],"title_canon_sha256":"4e904c3080bcd46d3d447f8f53dacae49e7ae1c9781a2cea71a2164d8865dba9","abstract_canon_sha256":"3dadbf4600742adf4fcddb46126292f10d2e22959957f6a0495ff9a81302b07a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:38.626063Z","signature_b64":"4k/GwPOWl+OKV2ZWW4yLtujrMWOl2aoZj4DT8qZJp9kJRHJ6C707mlGgzOh27rSlzFeS7p1zDz+lOI3/CFY0AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2115fc3ea9e6a81324a4650d6901242a9bf30cfb5734015609baee5dd2fd497","last_reissued_at":"2026-05-18T04:38:38.625432Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:38.625432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bachet's Problem: as few weights to weigh them all","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO","math.NT"],"primary_cat":"math.HO","authors_text":"Edwin O'Shea","submitted_at":"2010-10-26T19:06:53Z","abstract_excerpt":"A problem that enjoys an enduring popularity asks: \"what is the least number of pound weights that can be used on a scale pan to weigh any integral number of pounds from 1 to 40 inclusive, if the weights can be placed in either of the scale pans ?\" W.W. Rouse Ball attributes the first recording of this problem to Bachet in the early 17th century, calling it \"Bachet's Weights Problem\". However, Bachet's problem stretches all the way back to Fibonacci in 1202, making it a viable candidate for the first problem of integer partitions. Remarkably, given the age of Bachet's problem, an elegant and s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5486","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":"1010.5486","created_at":"2026-05-18T04:38:38.625541+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.5486v1","created_at":"2026-05-18T04:38:38.625541+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5486","created_at":"2026-05-18T04:38:38.625541+00:00"},{"alias_kind":"pith_short_12","alias_value":"2IIV7Q7KTZVI","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"2IIV7Q7KTZVICMSK","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"2IIV7Q7K","created_at":"2026-05-18T12:26:03.138858+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/2IIV7Q7KTZVICMSKIZINNEASIK","json":"https://pith.science/pith/2IIV7Q7KTZVICMSKIZINNEASIK.json","graph_json":"https://pith.science/api/pith-number/2IIV7Q7KTZVICMSKIZINNEASIK/graph.json","events_json":"https://pith.science/api/pith-number/2IIV7Q7KTZVICMSKIZINNEASIK/events.json","paper":"https://pith.science/paper/2IIV7Q7K"},"agent_actions":{"view_html":"https://pith.science/pith/2IIV7Q7KTZVICMSKIZINNEASIK","download_json":"https://pith.science/pith/2IIV7Q7KTZVICMSKIZINNEASIK.json","view_paper":"https://pith.science/paper/2IIV7Q7K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.5486&json=true","fetch_graph":"https://pith.science/api/pith-number/2IIV7Q7KTZVICMSKIZINNEASIK/graph.json","fetch_events":"https://pith.science/api/pith-number/2IIV7Q7KTZVICMSKIZINNEASIK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2IIV7Q7KTZVICMSKIZINNEASIK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2IIV7Q7KTZVICMSKIZINNEASIK/action/storage_attestation","attest_author":"https://pith.science/pith/2IIV7Q7KTZVICMSKIZINNEASIK/action/author_attestation","sign_citation":"https://pith.science/pith/2IIV7Q7KTZVICMSKIZINNEASIK/action/citation_signature","submit_replication":"https://pith.science/pith/2IIV7Q7KTZVICMSKIZINNEASIK/action/replication_record"}},"created_at":"2026-05-18T04:38:38.625541+00:00","updated_at":"2026-05-18T04:38:38.625541+00:00"}