{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PBKEKZLLGSO22IHTIWG7XYMX4R","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":"5e75129ebfaff71fe4972ffa5f087a4e58589aafa2b7a62c10ab5982e9c414cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-04-26T12:19:26Z","title_canon_sha256":"df15b5c4e920b2f221579b7e17e7839636ff1d9e3a7fb30ce3b18404ec3cbc30"},"schema_version":"1.0","source":{"id":"1504.06809","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.06809","created_at":"2026-05-18T01:20:11Z"},{"alias_kind":"arxiv_version","alias_value":"1504.06809v2","created_at":"2026-05-18T01:20:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06809","created_at":"2026-05-18T01:20:11Z"},{"alias_kind":"pith_short_12","alias_value":"PBKEKZLLGSO2","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PBKEKZLLGSO22IHT","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PBKEKZLL","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:86f6de7c6255acf261e50b38577c7fdfa1b2b1fd44a349e42923e1aa0a9175a5","target":"graph","created_at":"2026-05-18T01:20:11Z","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":"This paper deals with function field analogues of the famous theorem of Landau which gives the asymptotic density of sums of two squares in $\\mathbb{Z}$.\n  We define the analogue of a sum of two squares in $\\mathbb{F}_q[T]$ and estimate the number $B_q(n)$ of such polynomials of degree $n$ in two cases. The first case is when $q$ is large and $n$ fixed and the second case is when $n$ is large and $q$ is fixed. Although the methods used and main terms computed in each of the two cases differ, the two iterated limits of (a normalization of) $B_q(n)$ turn out to be exactly the same.","authors_text":"Adva Wolf, Lior Bary-Soroker, Yotam Smilansky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-04-26T12:19:26Z","title":"On the Function Field Analogue of Landau's Theorem on Sums of Squares"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06809","kind":"arxiv","version":2},"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":"sha256:1e43a2007d29bc6fc5aa76bdbcb889d3aa33c7fb93bb43af6dc4bf372864f98e","target":"record","created_at":"2026-05-18T01:20:11Z","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":"5e75129ebfaff71fe4972ffa5f087a4e58589aafa2b7a62c10ab5982e9c414cc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-04-26T12:19:26Z","title_canon_sha256":"df15b5c4e920b2f221579b7e17e7839636ff1d9e3a7fb30ce3b18404ec3cbc30"},"schema_version":"1.0","source":{"id":"1504.06809","kind":"arxiv","version":2}},"canonical_sha256":"785445656b349dad20f3458dfbe197e46c26bcc68517685fceae9349654c5492","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"785445656b349dad20f3458dfbe197e46c26bcc68517685fceae9349654c5492","first_computed_at":"2026-05-18T01:20:11.856480Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:11.856480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wgv2C8wd++AFi6K0b9HTNU90kgWI+41PuYkWawBMZ4+CshqAqkEsAAaiyHlV/QZ83wAHOsYf7ws6uWyTx76NDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:11.857063Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.06809","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e43a2007d29bc6fc5aa76bdbcb889d3aa33c7fb93bb43af6dc4bf372864f98e","sha256:86f6de7c6255acf261e50b38577c7fdfa1b2b1fd44a349e42923e1aa0a9175a5"],"state_sha256":"0bc710f42f94c2f5e2ba041026b601f4ce73072254331b51c4e540c947f0f094"}