{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:Y3HCGAMUDXAZ3LWVUMMSTTRV6O","short_pith_number":"pith:Y3HCGAMU","schema_version":"1.0","canonical_sha256":"c6ce2301941dc19daed5a31929ce35f3af94997a5ea237ad7f8ddfa10c6ab620","source":{"kind":"arxiv","id":"2504.05890","version":2},"attestation_state":"computed","paper":{"title":"Large central values of Dirichlet L-functions in cosets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Ivan Ermoshin","submitted_at":"2025-04-08T10:34:33Z","abstract_excerpt":"In this paper we consider the distribution of large central values of Dirichlet L-functions over cosets of the group of characters modulo q via Soundararajan's resonator method."},"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":"2504.05890","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2025-04-08T10:34:33Z","cross_cats_sorted":[],"title_canon_sha256":"8e114d9a67af91fea2281368876310c0a3a3a8575316d67d738a07c86470a217","abstract_canon_sha256":"4aad54bd5875c8a1dde2d5462e351ba8eabe8d9f26f90269440a831d6b2c7e5c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-29T02:05:34.637378Z","signature_b64":"dBUNHHd1u8cGzPopRDHDB0XoztwcOdRobK9PIFUoXNEurP/6jWREhPH6hEzS4e2ytFdBauRxnM6nkDnxO3P9Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6ce2301941dc19daed5a31929ce35f3af94997a5ea237ad7f8ddfa10c6ab620","last_reissued_at":"2026-05-29T02:05:34.636920Z","signature_status":"signed_v1","first_computed_at":"2026-05-29T02:05:34.636920Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large central values of Dirichlet L-functions in cosets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Ivan Ermoshin","submitted_at":"2025-04-08T10:34:33Z","abstract_excerpt":"In this paper we consider the distribution of large central values of Dirichlet L-functions over cosets of the group of characters modulo q via Soundararajan's resonator method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.05890","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.05890/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2504.05890","created_at":"2026-05-29T02:05:34.636982+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.05890v2","created_at":"2026-05-29T02:05:34.636982+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.05890","created_at":"2026-05-29T02:05:34.636982+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y3HCGAMUDXAZ","created_at":"2026-05-29T02:05:34.636982+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y3HCGAMUDXAZ3LWV","created_at":"2026-05-29T02:05:34.636982+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y3HCGAMU","created_at":"2026-05-29T02:05:34.636982+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2604.02960","citing_title":"Large values of $L(\\sigma,\\chi)$ for subgroups of characters","ref_index":16,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/Y3HCGAMUDXAZ3LWVUMMSTTRV6O","json":"https://pith.science/pith/Y3HCGAMUDXAZ3LWVUMMSTTRV6O.json","graph_json":"https://pith.science/api/pith-number/Y3HCGAMUDXAZ3LWVUMMSTTRV6O/graph.json","events_json":"https://pith.science/api/pith-number/Y3HCGAMUDXAZ3LWVUMMSTTRV6O/events.json","paper":"https://pith.science/paper/Y3HCGAMU"},"agent_actions":{"view_html":"https://pith.science/pith/Y3HCGAMUDXAZ3LWVUMMSTTRV6O","download_json":"https://pith.science/pith/Y3HCGAMUDXAZ3LWVUMMSTTRV6O.json","view_paper":"https://pith.science/paper/Y3HCGAMU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.05890&json=true","fetch_graph":"https://pith.science/api/pith-number/Y3HCGAMUDXAZ3LWVUMMSTTRV6O/graph.json","fetch_events":"https://pith.science/api/pith-number/Y3HCGAMUDXAZ3LWVUMMSTTRV6O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y3HCGAMUDXAZ3LWVUMMSTTRV6O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y3HCGAMUDXAZ3LWVUMMSTTRV6O/action/storage_attestation","attest_author":"https://pith.science/pith/Y3HCGAMUDXAZ3LWVUMMSTTRV6O/action/author_attestation","sign_citation":"https://pith.science/pith/Y3HCGAMUDXAZ3LWVUMMSTTRV6O/action/citation_signature","submit_replication":"https://pith.science/pith/Y3HCGAMUDXAZ3LWVUMMSTTRV6O/action/replication_record"}},"created_at":"2026-05-29T02:05:34.636982+00:00","updated_at":"2026-05-29T02:05:34.636982+00:00"}