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We have $\\alpha(P) \\leq \\delta$, and extending a conjecture of Silverman from the number field case, it is expected that equality holds if the orbit of $P$ is Zariski-dense.\n  We prove a weaker form of this conjec","authors_text":"Vesselin Dimitrov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-11-12T20:36:10Z","title":"Silverman's conjecture for additive polynomial mappings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.04061","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:daa2e7b7229095deaca5624a105d4b1509cb8e337ce3d5e0c844c64b60691412","target":"record","created_at":"2026-05-18T01:27:06Z","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":"ca7ba56d195b090e1e82b2cfc00f6e1da9fecc284900aa5aad7333957be21a59","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-11-12T20:36:10Z","title_canon_sha256":"8c80d693f43fa38fa52f8489aee94e65a99c687f9bc287c16951efae667c2ac7"},"schema_version":"1.0","source":{"id":"1511.04061","kind":"arxiv","version":1}},"canonical_sha256":"87c46654513cc287cdce044e883f16bf69f9c1c0c2984a3150ddfabdb182f4dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87c46654513cc287cdce044e883f16bf69f9c1c0c2984a3150ddfabdb182f4dc","first_computed_at":"2026-05-18T01:27:06.060854Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:06.060854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2dLpvl5FWT+TDFON+/qXcg4jq/2WghyYBn3aL0nGIOoLNax1EgBr3SWMB+thZ3ASVS3K78uOGEsa3eLsYj2zCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:06.061540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.04061","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:daa2e7b7229095deaca5624a105d4b1509cb8e337ce3d5e0c844c64b60691412","sha256:cd3bf400053f0b7b275f795e5832b500afaa951433afa97f6693a08e686925c4"],"state_sha256":"7563ca2db2417660eb1f401b6f9d11558ccab96ea075c52a25cda092111f8b09"}