{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:DHVLB2H2LECYWTWSJTPP4C2LFT","short_pith_number":"pith:DHVLB2H2","schema_version":"1.0","canonical_sha256":"19eab0e8fa59058b4ed24cdefe0b4b2cd01851a46dde340807e7dc86428a90a1","source":{"kind":"arxiv","id":"1408.1018","version":4},"attestation_state":"computed","paper":{"title":"The number of ramified primes in number fields of small degree","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Frank Thorne, Robert J. Lemke Oliver","submitted_at":"2014-08-05T16:13:36Z","abstract_excerpt":"In this paper we investigate the distribution of the number of primes which ramify in number fields of degree d <= 5. In analogy with the classical Erdos-Kac theorem, we prove for S_d-extensions that the number of such primes is normally distributed with mean and variance log log X."},"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":"1408.1018","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-08-05T16:13:36Z","cross_cats_sorted":[],"title_canon_sha256":"7c4b000a0b39bbc8066214997c29cf7433c8ffc79ca2716b37727df563e583b1","abstract_canon_sha256":"f050a31bdbf15159b7b40608cac12cc26a3d7a19685000808c2337197ed5d896"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:23.129750Z","signature_b64":"Wbh1lEOAFJaBHaBsj63kscLAdjIK5bPL6zU3wiM9aFk+K6LpI6nY1dt7UG7gDeOUUL/2I3uiX+swpG2Hl5MgAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19eab0e8fa59058b4ed24cdefe0b4b2cd01851a46dde340807e7dc86428a90a1","last_reissued_at":"2026-05-18T01:06:23.129043Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:23.129043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The number of ramified primes in number fields of small degree","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Frank Thorne, Robert J. Lemke Oliver","submitted_at":"2014-08-05T16:13:36Z","abstract_excerpt":"In this paper we investigate the distribution of the number of primes which ramify in number fields of degree d <= 5. In analogy with the classical Erdos-Kac theorem, we prove for S_d-extensions that the number of such primes is normally distributed with mean and variance log log X."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1018","kind":"arxiv","version":4},"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":"1408.1018","created_at":"2026-05-18T01:06:23.129155+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.1018v4","created_at":"2026-05-18T01:06:23.129155+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1018","created_at":"2026-05-18T01:06:23.129155+00:00"},{"alias_kind":"pith_short_12","alias_value":"DHVLB2H2LECY","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"DHVLB2H2LECYWTWS","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"DHVLB2H2","created_at":"2026-05-18T12:28:25.294606+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/DHVLB2H2LECYWTWSJTPP4C2LFT","json":"https://pith.science/pith/DHVLB2H2LECYWTWSJTPP4C2LFT.json","graph_json":"https://pith.science/api/pith-number/DHVLB2H2LECYWTWSJTPP4C2LFT/graph.json","events_json":"https://pith.science/api/pith-number/DHVLB2H2LECYWTWSJTPP4C2LFT/events.json","paper":"https://pith.science/paper/DHVLB2H2"},"agent_actions":{"view_html":"https://pith.science/pith/DHVLB2H2LECYWTWSJTPP4C2LFT","download_json":"https://pith.science/pith/DHVLB2H2LECYWTWSJTPP4C2LFT.json","view_paper":"https://pith.science/paper/DHVLB2H2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.1018&json=true","fetch_graph":"https://pith.science/api/pith-number/DHVLB2H2LECYWTWSJTPP4C2LFT/graph.json","fetch_events":"https://pith.science/api/pith-number/DHVLB2H2LECYWTWSJTPP4C2LFT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DHVLB2H2LECYWTWSJTPP4C2LFT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DHVLB2H2LECYWTWSJTPP4C2LFT/action/storage_attestation","attest_author":"https://pith.science/pith/DHVLB2H2LECYWTWSJTPP4C2LFT/action/author_attestation","sign_citation":"https://pith.science/pith/DHVLB2H2LECYWTWSJTPP4C2LFT/action/citation_signature","submit_replication":"https://pith.science/pith/DHVLB2H2LECYWTWSJTPP4C2LFT/action/replication_record"}},"created_at":"2026-05-18T01:06:23.129155+00:00","updated_at":"2026-05-18T01:06:23.129155+00:00"}