{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:YORQPJN3HVHRGPMK3SQJ4W43RN","short_pith_number":"pith:YORQPJN3","schema_version":"1.0","canonical_sha256":"c3a307a5bb3d4f133d8adca09e5b9b8b63026e6900f96f6c1e32a2f7ad2b7185","source":{"kind":"arxiv","id":"math/9903197","version":1},"attestation_state":"computed","paper":{"title":"Transition mean values of real characters","license":"","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"David W. Farmer (AIM), J. Brian Conrey (AIM), K. Soundararajan (AIM, Princeton University)","submitted_at":"1999-03-24T00:00:00Z","abstract_excerpt":"We evaluate the character sum sigma_m sigma_n (m/n) where the two sums are of approximately the same length. The answer is surprising."},"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":"math/9903197","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.NT","submitted_at":"1999-03-24T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"80757189ad5b615c89398d063249129923cb9e93a68c8e43333d402503255c19","abstract_canon_sha256":"d2748b1e8745b432cdad2b0b54e1766fee1b0a5fe33dc8ffe601ec42ac7098be"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:33.195941Z","signature_b64":"ohBPwPm5vHLUZzeyHWvkms6Oh8UKfyCwlyQvTxKtUZd75QF9N7xrDmKD2LdOCMfaKpy/5tOY4cYpor4ynaswCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3a307a5bb3d4f133d8adca09e5b9b8b63026e6900f96f6c1e32a2f7ad2b7185","last_reissued_at":"2026-05-18T01:05:33.195274Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:33.195274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Transition mean values of real characters","license":"","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"David W. Farmer (AIM), J. Brian Conrey (AIM), K. Soundararajan (AIM, Princeton University)","submitted_at":"1999-03-24T00:00:00Z","abstract_excerpt":"We evaluate the character sum sigma_m sigma_n (m/n) where the two sums are of approximately the same length. The answer is surprising."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9903197","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":"math/9903197","created_at":"2026-05-18T01:05:33.195353+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9903197v1","created_at":"2026-05-18T01:05:33.195353+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9903197","created_at":"2026-05-18T01:05:33.195353+00:00"},{"alias_kind":"pith_short_12","alias_value":"YORQPJN3HVHR","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"YORQPJN3HVHRGPMK","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"YORQPJN3","created_at":"2026-05-18T12:25:49.631198+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/YORQPJN3HVHRGPMK3SQJ4W43RN","json":"https://pith.science/pith/YORQPJN3HVHRGPMK3SQJ4W43RN.json","graph_json":"https://pith.science/api/pith-number/YORQPJN3HVHRGPMK3SQJ4W43RN/graph.json","events_json":"https://pith.science/api/pith-number/YORQPJN3HVHRGPMK3SQJ4W43RN/events.json","paper":"https://pith.science/paper/YORQPJN3"},"agent_actions":{"view_html":"https://pith.science/pith/YORQPJN3HVHRGPMK3SQJ4W43RN","download_json":"https://pith.science/pith/YORQPJN3HVHRGPMK3SQJ4W43RN.json","view_paper":"https://pith.science/paper/YORQPJN3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9903197&json=true","fetch_graph":"https://pith.science/api/pith-number/YORQPJN3HVHRGPMK3SQJ4W43RN/graph.json","fetch_events":"https://pith.science/api/pith-number/YORQPJN3HVHRGPMK3SQJ4W43RN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YORQPJN3HVHRGPMK3SQJ4W43RN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YORQPJN3HVHRGPMK3SQJ4W43RN/action/storage_attestation","attest_author":"https://pith.science/pith/YORQPJN3HVHRGPMK3SQJ4W43RN/action/author_attestation","sign_citation":"https://pith.science/pith/YORQPJN3HVHRGPMK3SQJ4W43RN/action/citation_signature","submit_replication":"https://pith.science/pith/YORQPJN3HVHRGPMK3SQJ4W43RN/action/replication_record"}},"created_at":"2026-05-18T01:05:33.195353+00:00","updated_at":"2026-05-18T01:05:33.195353+00:00"}