{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:NZX56XKKK7N6XVYYXLKCC652ZV","short_pith_number":"pith:NZX56XKK","schema_version":"1.0","canonical_sha256":"6e6fdf5d4a57dbebd718bad4217bbacd4e4cb84bf43563c29686821daad1b7b6","source":{"kind":"arxiv","id":"1704.00314","version":1},"attestation_state":"computed","paper":{"title":"Mollification and non-vanishing of automorphic $L$-functions on GL(3)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Bingrong Huang, Shenhui Liu, Zhao Xu","submitted_at":"2017-04-02T15:28:50Z","abstract_excerpt":"We prove a non-vanishing result for central values of $L$-functions on GL(3), by using the mollification method and the Kuznetsov trace formula."},"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":"1704.00314","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-04-02T15:28:50Z","cross_cats_sorted":[],"title_canon_sha256":"4d025ef822d072a9ba90c29530712369df82d28d4696a1c5be9a13a9c59c8d07","abstract_canon_sha256":"34dc905117dcef4bb43f604a3014ca04d9fe6a2308daa60c11ad6961e5af83b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:24.814945Z","signature_b64":"YgQPo+oZrRc502jCqG5d3VGDpgotCP6exkvlLowLxgU6mfgpr6RtXfbyuW5Vk5neg0P8iHADHJGt4YFKw/7NDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e6fdf5d4a57dbebd718bad4217bbacd4e4cb84bf43563c29686821daad1b7b6","last_reissued_at":"2026-05-18T00:47:24.814423Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:24.814423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mollification and non-vanishing of automorphic $L$-functions on GL(3)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Bingrong Huang, Shenhui Liu, Zhao Xu","submitted_at":"2017-04-02T15:28:50Z","abstract_excerpt":"We prove a non-vanishing result for central values of $L$-functions on GL(3), by using the mollification method and the Kuznetsov trace formula."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00314","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":"1704.00314","created_at":"2026-05-18T00:47:24.814523+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.00314v1","created_at":"2026-05-18T00:47:24.814523+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00314","created_at":"2026-05-18T00:47:24.814523+00:00"},{"alias_kind":"pith_short_12","alias_value":"NZX56XKKK7N6","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_16","alias_value":"NZX56XKKK7N6XVYY","created_at":"2026-05-18T12:31:34.259226+00:00"},{"alias_kind":"pith_short_8","alias_value":"NZX56XKK","created_at":"2026-05-18T12:31:34.259226+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/NZX56XKKK7N6XVYYXLKCC652ZV","json":"https://pith.science/pith/NZX56XKKK7N6XVYYXLKCC652ZV.json","graph_json":"https://pith.science/api/pith-number/NZX56XKKK7N6XVYYXLKCC652ZV/graph.json","events_json":"https://pith.science/api/pith-number/NZX56XKKK7N6XVYYXLKCC652ZV/events.json","paper":"https://pith.science/paper/NZX56XKK"},"agent_actions":{"view_html":"https://pith.science/pith/NZX56XKKK7N6XVYYXLKCC652ZV","download_json":"https://pith.science/pith/NZX56XKKK7N6XVYYXLKCC652ZV.json","view_paper":"https://pith.science/paper/NZX56XKK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.00314&json=true","fetch_graph":"https://pith.science/api/pith-number/NZX56XKKK7N6XVYYXLKCC652ZV/graph.json","fetch_events":"https://pith.science/api/pith-number/NZX56XKKK7N6XVYYXLKCC652ZV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NZX56XKKK7N6XVYYXLKCC652ZV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NZX56XKKK7N6XVYYXLKCC652ZV/action/storage_attestation","attest_author":"https://pith.science/pith/NZX56XKKK7N6XVYYXLKCC652ZV/action/author_attestation","sign_citation":"https://pith.science/pith/NZX56XKKK7N6XVYYXLKCC652ZV/action/citation_signature","submit_replication":"https://pith.science/pith/NZX56XKKK7N6XVYYXLKCC652ZV/action/replication_record"}},"created_at":"2026-05-18T00:47:24.814523+00:00","updated_at":"2026-05-18T00:47:24.814523+00:00"}