{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:U6AWMIQWQSSELH2BO2V5JFVFNV","short_pith_number":"pith:U6AWMIQW","schema_version":"1.0","canonical_sha256":"a78166221684a4459f4176abd496a56d69acce367fee441a5cb094315e16d2c4","source":{"kind":"arxiv","id":"1303.3646","version":1},"attestation_state":"computed","paper":{"title":"The inverse Galois problem for PSL_2(F_p)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"David Zywina","submitted_at":"2013-03-15T00:32:34Z","abstract_excerpt":"We show that the simple group PSL_2(F_p) occurs as the Galois group of an extension of the rationals for all primes p>3. We obtain our Galois extensions by studying the Galois action on the second etale cohomology groups of a specific elliptic surface."},"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":"1303.3646","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-03-15T00:32:34Z","cross_cats_sorted":[],"title_canon_sha256":"3322348982e3e5b85f0f4ea7a2787535fbb31d9df27c122895d411f9c581b4bd","abstract_canon_sha256":"0b9a29a1f4ed6efde393474ac3931589b7afdeef0b4f4c5b6b6114fb21b2c36b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:06.272033Z","signature_b64":"ToyaYGvsq0sQ4f6283E9MFfsoMxRqYbR7ZM7bTqNWoQnPTopuk8M7IimbEHK4NFluFeqadeoyZRYXs+In7qfDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a78166221684a4459f4176abd496a56d69acce367fee441a5cb094315e16d2c4","last_reissued_at":"2026-05-18T01:28:06.271386Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:06.271386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The inverse Galois problem for PSL_2(F_p)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"David Zywina","submitted_at":"2013-03-15T00:32:34Z","abstract_excerpt":"We show that the simple group PSL_2(F_p) occurs as the Galois group of an extension of the rationals for all primes p>3. We obtain our Galois extensions by studying the Galois action on the second etale cohomology groups of a specific elliptic surface."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3646","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":"1303.3646","created_at":"2026-05-18T01:28:06.271502+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.3646v1","created_at":"2026-05-18T01:28:06.271502+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3646","created_at":"2026-05-18T01:28:06.271502+00:00"},{"alias_kind":"pith_short_12","alias_value":"U6AWMIQWQSSE","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"U6AWMIQWQSSELH2B","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"U6AWMIQW","created_at":"2026-05-18T12:28:02.375192+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/U6AWMIQWQSSELH2BO2V5JFVFNV","json":"https://pith.science/pith/U6AWMIQWQSSELH2BO2V5JFVFNV.json","graph_json":"https://pith.science/api/pith-number/U6AWMIQWQSSELH2BO2V5JFVFNV/graph.json","events_json":"https://pith.science/api/pith-number/U6AWMIQWQSSELH2BO2V5JFVFNV/events.json","paper":"https://pith.science/paper/U6AWMIQW"},"agent_actions":{"view_html":"https://pith.science/pith/U6AWMIQWQSSELH2BO2V5JFVFNV","download_json":"https://pith.science/pith/U6AWMIQWQSSELH2BO2V5JFVFNV.json","view_paper":"https://pith.science/paper/U6AWMIQW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.3646&json=true","fetch_graph":"https://pith.science/api/pith-number/U6AWMIQWQSSELH2BO2V5JFVFNV/graph.json","fetch_events":"https://pith.science/api/pith-number/U6AWMIQWQSSELH2BO2V5JFVFNV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U6AWMIQWQSSELH2BO2V5JFVFNV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U6AWMIQWQSSELH2BO2V5JFVFNV/action/storage_attestation","attest_author":"https://pith.science/pith/U6AWMIQWQSSELH2BO2V5JFVFNV/action/author_attestation","sign_citation":"https://pith.science/pith/U6AWMIQWQSSELH2BO2V5JFVFNV/action/citation_signature","submit_replication":"https://pith.science/pith/U6AWMIQWQSSELH2BO2V5JFVFNV/action/replication_record"}},"created_at":"2026-05-18T01:28:06.271502+00:00","updated_at":"2026-05-18T01:28:06.271502+00:00"}