{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IBBAYAFQVYRXXMX6WPI7ES5LRN","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9f09aae0b3e7b63afb3fe3662291af4f623ab483b4cbb3a37629a37ad60354cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-06-08T12:20:01Z","title_canon_sha256":"5c3923ef9e89eace97c104a93622608e23fcf0d3668be9d9d3b4e33356d22f93"},"schema_version":"1.0","source":{"id":"1606.02524","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.02524","created_at":"2026-05-18T01:12:41Z"},{"alias_kind":"arxiv_version","alias_value":"1606.02524v1","created_at":"2026-05-18T01:12:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.02524","created_at":"2026-05-18T01:12:41Z"},{"alias_kind":"pith_short_12","alias_value":"IBBAYAFQVYRX","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IBBAYAFQVYRXXMX6","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IBBAYAFQ","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:4840b44499a1eebba9ac7a64937470c912797633cd5e54cdc10b9ead2a22086a","target":"graph","created_at":"2026-05-18T01:12:41Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We answer a question of Drungilas-Dubickas in the affirmative under the assumption of standard conjectures on smooth numbers in polynomial sequences. This gives evidence against the \"Dubickas Conjecture\", which Ka\\v{c}inskait\\.e and Laurin\\v{c}ikas proved implies universality results for the Hurwitz zeta-function with certain algebraic irrational parameters.\n  Under these standard conjectures we also prove some results that confirms observations of Worley relating to a problem of Cassels on the multiplicative dependence of algebraic numbers shifted by integers.","authors_text":"Johan Andersson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-06-08T12:20:01Z","title":"On questions of Cassels and Drungilas-Dubickas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.02524","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:46a89e40e3e7cfa4787fc9cef776604258e4c9411c1eb987b29be30843243f20","target":"record","created_at":"2026-05-18T01:12:41Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9f09aae0b3e7b63afb3fe3662291af4f623ab483b4cbb3a37629a37ad60354cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-06-08T12:20:01Z","title_canon_sha256":"5c3923ef9e89eace97c104a93622608e23fcf0d3668be9d9d3b4e33356d22f93"},"schema_version":"1.0","source":{"id":"1606.02524","kind":"arxiv","version":1}},"canonical_sha256":"40420c00b0ae237bb2feb3d1f24bab8b6c3bf753642d8c1d14a12c5a84298a40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"40420c00b0ae237bb2feb3d1f24bab8b6c3bf753642d8c1d14a12c5a84298a40","first_computed_at":"2026-05-18T01:12:41.145146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:41.145146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g7NOF0ai8lkNPEkVYDbxo4x/BjoAWL2fYluef2HDw9kzuXTN11uNoJqqekHASApgUwqAr37fsa/ZIYKacVB2Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:41.145491Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.02524","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46a89e40e3e7cfa4787fc9cef776604258e4c9411c1eb987b29be30843243f20","sha256:4840b44499a1eebba9ac7a64937470c912797633cd5e54cdc10b9ead2a22086a"],"state_sha256":"acb732e66d9b23ddcecc13d4fd123a0da3699452ecdb7113a61a1067a29b9f13"}