{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:CWPBQJKIDMZUXYEEY2OCJZDY45","short_pith_number":"pith:CWPBQJKI","schema_version":"1.0","canonical_sha256":"159e1825481b334be084c69c24e478e74cd90189ad86810ae14ee571ceacc708","source":{"kind":"arxiv","id":"1602.06751","version":1},"attestation_state":"computed","paper":{"title":"Simple t-designs: A recursive construction for arbitrary t","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Tran van Trung","submitted_at":"2016-02-22T12:41:45Z","abstract_excerpt":"The aim of this paper is to present a recursive construction of simple t-designs for arbitrary t. The construction is of purely combinatorial nature and it requires finding solutions for the indices of the ingredient designs that satisfy a certain set of equalities. We give a small number of examples to illustrate the construction, whereby we have found a large number of new t-designs, which were previously unknown. This indicates that the method is useful and powerful."},"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":"1602.06751","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2016-02-22T12:41:45Z","cross_cats_sorted":[],"title_canon_sha256":"ee3ee5629db1384e01fbd7249e7deeec29b338e4a0cf13cc87ab04b25f307c36","abstract_canon_sha256":"7b7b6205565db09046c7c00600039b47960e9b450fd9cff5f46dd44e3040eb45"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:13.216920Z","signature_b64":"ohXz6RyGMAK+NhHiFhplPkt2N/32TJw3sXzAhx4q+vFtHwAjXDuB3qTUJssqmOWARpgBlIxf87hgdqYvHaN7Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"159e1825481b334be084c69c24e478e74cd90189ad86810ae14ee571ceacc708","last_reissued_at":"2026-05-18T01:20:13.216277Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:13.216277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simple t-designs: A recursive construction for arbitrary t","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Tran van Trung","submitted_at":"2016-02-22T12:41:45Z","abstract_excerpt":"The aim of this paper is to present a recursive construction of simple t-designs for arbitrary t. The construction is of purely combinatorial nature and it requires finding solutions for the indices of the ingredient designs that satisfy a certain set of equalities. We give a small number of examples to illustrate the construction, whereby we have found a large number of new t-designs, which were previously unknown. This indicates that the method is useful and powerful."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06751","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":"1602.06751","created_at":"2026-05-18T01:20:13.216386+00:00"},{"alias_kind":"arxiv_version","alias_value":"1602.06751v1","created_at":"2026-05-18T01:20:13.216386+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.06751","created_at":"2026-05-18T01:20:13.216386+00:00"},{"alias_kind":"pith_short_12","alias_value":"CWPBQJKIDMZU","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CWPBQJKIDMZUXYEE","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CWPBQJKI","created_at":"2026-05-18T12:30:09.641336+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/CWPBQJKIDMZUXYEEY2OCJZDY45","json":"https://pith.science/pith/CWPBQJKIDMZUXYEEY2OCJZDY45.json","graph_json":"https://pith.science/api/pith-number/CWPBQJKIDMZUXYEEY2OCJZDY45/graph.json","events_json":"https://pith.science/api/pith-number/CWPBQJKIDMZUXYEEY2OCJZDY45/events.json","paper":"https://pith.science/paper/CWPBQJKI"},"agent_actions":{"view_html":"https://pith.science/pith/CWPBQJKIDMZUXYEEY2OCJZDY45","download_json":"https://pith.science/pith/CWPBQJKIDMZUXYEEY2OCJZDY45.json","view_paper":"https://pith.science/paper/CWPBQJKI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1602.06751&json=true","fetch_graph":"https://pith.science/api/pith-number/CWPBQJKIDMZUXYEEY2OCJZDY45/graph.json","fetch_events":"https://pith.science/api/pith-number/CWPBQJKIDMZUXYEEY2OCJZDY45/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CWPBQJKIDMZUXYEEY2OCJZDY45/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CWPBQJKIDMZUXYEEY2OCJZDY45/action/storage_attestation","attest_author":"https://pith.science/pith/CWPBQJKIDMZUXYEEY2OCJZDY45/action/author_attestation","sign_citation":"https://pith.science/pith/CWPBQJKIDMZUXYEEY2OCJZDY45/action/citation_signature","submit_replication":"https://pith.science/pith/CWPBQJKIDMZUXYEEY2OCJZDY45/action/replication_record"}},"created_at":"2026-05-18T01:20:13.216386+00:00","updated_at":"2026-05-18T01:20:13.216386+00:00"}