{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CAR4WUQRBYFLMACZNYW7QPRHL4","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":"c70a3e616a9cb92e18e85cee95d473e97b49d34fd2ad7ef0528ea96c4632549e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-06-29T21:43:17Z","title_canon_sha256":"af0a40b70044080be5527bbad9a90c60931c1d561eb3283cc5e9abaa8a7e6577"},"schema_version":"1.0","source":{"id":"1506.08875","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.08875","created_at":"2026-05-18T01:37:34Z"},{"alias_kind":"arxiv_version","alias_value":"1506.08875v1","created_at":"2026-05-18T01:37:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08875","created_at":"2026-05-18T01:37:34Z"},{"alias_kind":"pith_short_12","alias_value":"CAR4WUQRBYFL","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CAR4WUQRBYFLMACZ","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CAR4WUQR","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:005f04c60dc69d95f1c977770a28649a61087fd2a8c608d04c10b7b640337413","target":"graph","created_at":"2026-05-18T01:37:34Z","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":"Scattered linear sets of pseudoregulus type in $\\mathrm{PG}(1,q^t)$ have been defined and investigated in [G. Lunardon, G. Marino, O. Polverino, R. Trombetti: Maximum scattered linear sets of pseudoregulus type and the Segre Variety ${\\cal S}_{n,n}$. J. Algebr. Comb. 39 (2014), 807--831.; G. Donati, N. Durante: Scattered linear sets generated by collineations between pencils of lines. J. Algebr. Comb. 40 (2014), 1121-1134]. The aim of this paper is to continue such an investigation. Properties of a scattered linear set of pseudoregulus type, say $L$, are proved by means of three different ways","authors_text":"Bence Csajb\\'ok, Corrado Zanella","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-06-29T21:43:17Z","title":"On scattered linear sets of pseudoregulus type in $\\mathrm{PG}(1,q^t)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08875","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":"sha256:3041ae2d202a3bbd8d35b327f72a1ed77cc594abb8c018c7bb6b7eccfdd12516","target":"record","created_at":"2026-05-18T01:37:34Z","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":"c70a3e616a9cb92e18e85cee95d473e97b49d34fd2ad7ef0528ea96c4632549e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-06-29T21:43:17Z","title_canon_sha256":"af0a40b70044080be5527bbad9a90c60931c1d561eb3283cc5e9abaa8a7e6577"},"schema_version":"1.0","source":{"id":"1506.08875","kind":"arxiv","version":1}},"canonical_sha256":"1023cb52110e0ab600596e2df83e275f37d45e325d1dcbbca983b5f93f494973","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1023cb52110e0ab600596e2df83e275f37d45e325d1dcbbca983b5f93f494973","first_computed_at":"2026-05-18T01:37:34.231688Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:34.231688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZmTMIfMx9fmvLBDYc8HKEgZb3E5lWNnkb0Ln2HxbwEdlQewmklc02pyc1iuuBlgF/5Gb9JE3K/muq/YMaKneBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:34.232174Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.08875","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3041ae2d202a3bbd8d35b327f72a1ed77cc594abb8c018c7bb6b7eccfdd12516","sha256:005f04c60dc69d95f1c977770a28649a61087fd2a8c608d04c10b7b640337413"],"state_sha256":"404faa6f7a8f4a12ba3f2dab85b305a34c00697a360f031729731ed28fe8b865"}