{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:HCTI7EVJ7BHDJCCCPIILJSW5N5","short_pith_number":"pith:HCTI7EVJ","schema_version":"1.0","canonical_sha256":"38a68f92a9f84e3488427a10b4cadd6f782fb999cb633559cb134d2d8656d5d4","source":{"kind":"arxiv","id":"1605.05994","version":1},"attestation_state":"computed","paper":{"title":"On two questions by Finch and Jones about perfect order subset groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Bret J. Benesh","submitted_at":"2016-05-18T17:02:36Z","abstract_excerpt":"A finite group G is said to be a POS-group if the number of elements of every order occurring in G divides |G|. We answer two questions by Finch and Jones by providing an infinite family of nonabelian POS-groups with orders not divisible by 3."},"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":"1605.05994","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2016-05-18T17:02:36Z","cross_cats_sorted":[],"title_canon_sha256":"f3798b4ec7d6b07983c99c9d42f2bdd760c8dc5875b35f403e808ea7e6f0d105","abstract_canon_sha256":"5952d2510e190fa4ca6195b5e8764c11cacde491c38a1b6f6bf189e128d3ec7a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:14:26.778972Z","signature_b64":"SUrWOCXp5eQY+cik0jceEdPFoNCyzvZoZZ5AcCvnHAYnGJaKSOsRmCFiKIHH9NL205nB065n2USMEfYSn8htDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38a68f92a9f84e3488427a10b4cadd6f782fb999cb633559cb134d2d8656d5d4","last_reissued_at":"2026-05-18T01:14:26.778231Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:14:26.778231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On two questions by Finch and Jones about perfect order subset groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Bret J. Benesh","submitted_at":"2016-05-18T17:02:36Z","abstract_excerpt":"A finite group G is said to be a POS-group if the number of elements of every order occurring in G divides |G|. We answer two questions by Finch and Jones by providing an infinite family of nonabelian POS-groups with orders not divisible by 3."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.05994","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":"1605.05994","created_at":"2026-05-18T01:14:26.778324+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.05994v1","created_at":"2026-05-18T01:14:26.778324+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.05994","created_at":"2026-05-18T01:14:26.778324+00:00"},{"alias_kind":"pith_short_12","alias_value":"HCTI7EVJ7BHD","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"HCTI7EVJ7BHDJCCC","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"HCTI7EVJ","created_at":"2026-05-18T12:30:19.053100+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/HCTI7EVJ7BHDJCCCPIILJSW5N5","json":"https://pith.science/pith/HCTI7EVJ7BHDJCCCPIILJSW5N5.json","graph_json":"https://pith.science/api/pith-number/HCTI7EVJ7BHDJCCCPIILJSW5N5/graph.json","events_json":"https://pith.science/api/pith-number/HCTI7EVJ7BHDJCCCPIILJSW5N5/events.json","paper":"https://pith.science/paper/HCTI7EVJ"},"agent_actions":{"view_html":"https://pith.science/pith/HCTI7EVJ7BHDJCCCPIILJSW5N5","download_json":"https://pith.science/pith/HCTI7EVJ7BHDJCCCPIILJSW5N5.json","view_paper":"https://pith.science/paper/HCTI7EVJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.05994&json=true","fetch_graph":"https://pith.science/api/pith-number/HCTI7EVJ7BHDJCCCPIILJSW5N5/graph.json","fetch_events":"https://pith.science/api/pith-number/HCTI7EVJ7BHDJCCCPIILJSW5N5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HCTI7EVJ7BHDJCCCPIILJSW5N5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HCTI7EVJ7BHDJCCCPIILJSW5N5/action/storage_attestation","attest_author":"https://pith.science/pith/HCTI7EVJ7BHDJCCCPIILJSW5N5/action/author_attestation","sign_citation":"https://pith.science/pith/HCTI7EVJ7BHDJCCCPIILJSW5N5/action/citation_signature","submit_replication":"https://pith.science/pith/HCTI7EVJ7BHDJCCCPIILJSW5N5/action/replication_record"}},"created_at":"2026-05-18T01:14:26.778324+00:00","updated_at":"2026-05-18T01:14:26.778324+00:00"}