{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:NYRKXAGHXY4XEFWPKZML46TPSZ","short_pith_number":"pith:NYRKXAGH","schema_version":"1.0","canonical_sha256":"6e22ab80c7be397216cf5658be7a6f966981fa400781f429eb4ceadc7f761e06","source":{"kind":"arxiv","id":"1312.5855","version":1},"attestation_state":"computed","paper":{"title":"Propagation rules for (u,m,e,s)-nets and (u,e,s)-sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Harald Niederreiter, Peter Kritzer","submitted_at":"2013-12-20T08:54:39Z","abstract_excerpt":"The classes of $(u,m,{\\bf e},s)$-nets and $(u,{\\bf e},s)$-sequences were recently introduced by Tezuka, and in a slightly more restrictive form by Hofer and Niederreiter. We study propagation rules for these point sets, which state how one can obtain $(u,m,{\\bf e},s)$-nets and $(u,{\\bf e},s)$-sequences with new parameter configurations from existing ones. In this way, we show generalizations and extensions of several well-known construction methods that have previously been shown for $(t,m,s)$-nets and $(t,s)$-sequences. We also develop a duality theory for digital $(u,m,{\\bf e},s)$-nets and p"},"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":"1312.5855","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-12-20T08:54:39Z","cross_cats_sorted":[],"title_canon_sha256":"377e071bb95757ca618617992453402a8d8e51118459c6eca1c34f6090b5959c","abstract_canon_sha256":"67f9aee155c87f4b77030707af018a45562119c783a6ebc383ed846b1310cc28"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:07.673688Z","signature_b64":"40hlpZRFwfFJftLLIVRWB8OD29iQE6/EpXXcV3ZwCuknhJmrds5y7AfZSHpSWZPcd+Kfu/Pl/IGkr3GHDwh2DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e22ab80c7be397216cf5658be7a6f966981fa400781f429eb4ceadc7f761e06","last_reissued_at":"2026-05-18T03:04:07.672791Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:07.672791Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Propagation rules for (u,m,e,s)-nets and (u,e,s)-sequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Harald Niederreiter, Peter Kritzer","submitted_at":"2013-12-20T08:54:39Z","abstract_excerpt":"The classes of $(u,m,{\\bf e},s)$-nets and $(u,{\\bf e},s)$-sequences were recently introduced by Tezuka, and in a slightly more restrictive form by Hofer and Niederreiter. We study propagation rules for these point sets, which state how one can obtain $(u,m,{\\bf e},s)$-nets and $(u,{\\bf e},s)$-sequences with new parameter configurations from existing ones. In this way, we show generalizations and extensions of several well-known construction methods that have previously been shown for $(t,m,s)$-nets and $(t,s)$-sequences. We also develop a duality theory for digital $(u,m,{\\bf e},s)$-nets and p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5855","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":"1312.5855","created_at":"2026-05-18T03:04:07.672926+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.5855v1","created_at":"2026-05-18T03:04:07.672926+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.5855","created_at":"2026-05-18T03:04:07.672926+00:00"},{"alias_kind":"pith_short_12","alias_value":"NYRKXAGHXY4X","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"NYRKXAGHXY4XEFWP","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"NYRKXAGH","created_at":"2026-05-18T12:27:52.871228+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/NYRKXAGHXY4XEFWPKZML46TPSZ","json":"https://pith.science/pith/NYRKXAGHXY4XEFWPKZML46TPSZ.json","graph_json":"https://pith.science/api/pith-number/NYRKXAGHXY4XEFWPKZML46TPSZ/graph.json","events_json":"https://pith.science/api/pith-number/NYRKXAGHXY4XEFWPKZML46TPSZ/events.json","paper":"https://pith.science/paper/NYRKXAGH"},"agent_actions":{"view_html":"https://pith.science/pith/NYRKXAGHXY4XEFWPKZML46TPSZ","download_json":"https://pith.science/pith/NYRKXAGHXY4XEFWPKZML46TPSZ.json","view_paper":"https://pith.science/paper/NYRKXAGH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.5855&json=true","fetch_graph":"https://pith.science/api/pith-number/NYRKXAGHXY4XEFWPKZML46TPSZ/graph.json","fetch_events":"https://pith.science/api/pith-number/NYRKXAGHXY4XEFWPKZML46TPSZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NYRKXAGHXY4XEFWPKZML46TPSZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NYRKXAGHXY4XEFWPKZML46TPSZ/action/storage_attestation","attest_author":"https://pith.science/pith/NYRKXAGHXY4XEFWPKZML46TPSZ/action/author_attestation","sign_citation":"https://pith.science/pith/NYRKXAGHXY4XEFWPKZML46TPSZ/action/citation_signature","submit_replication":"https://pith.science/pith/NYRKXAGHXY4XEFWPKZML46TPSZ/action/replication_record"}},"created_at":"2026-05-18T03:04:07.672926+00:00","updated_at":"2026-05-18T03:04:07.672926+00:00"}