{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:T5KFP7KYRIWXRYHYNVZIJLHGZI","short_pith_number":"pith:T5KFP7KY","schema_version":"1.0","canonical_sha256":"9f5457fd588a2d78e0f86d7284ace6ca23e6bfe8cf0f37f470a02f255f7919e4","source":{"kind":"arxiv","id":"0711.1771","version":3},"attestation_state":"computed","paper":{"title":"Vanishing and Non-Vanishing Dirichlet Twists of L-Functions of Elliptic Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Hershy Kisilevsky, Jack Fearnley, Masato Kuwata","submitted_at":"2007-11-12T13:39:40Z","abstract_excerpt":"Let L(E/Q,s) be the L-function of an elliptic curve E defined over the rational field Q. We examine the vanishing and non-vanishing of the central values L(E,1,\\chi) of the twisted L-function as \\chi ranges over Dirichlet characters of given order."},"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":"0711.1771","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2007-11-12T13:39:40Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"c6f7a1f5ec90378952886d6cdcc099426079000dc9b4685b83110ce97a6a2666","abstract_canon_sha256":"90ae3e99ddfbd2c25fbd08232e1f911ce938b6a8f73cd342e9fb76fc05cc3343"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:12.093780Z","signature_b64":"ohXx2FTvn6eFupYUF10BuoepTm3Su1pTBvQAbl15XBr8ZHGTvuC2tReuPvO54+uYunjw6JHGG1Qp+DnwXHsPAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f5457fd588a2d78e0f86d7284ace6ca23e6bfe8cf0f37f470a02f255f7919e4","last_reissued_at":"2026-05-18T02:58:12.093191Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:12.093191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Vanishing and Non-Vanishing Dirichlet Twists of L-Functions of Elliptic Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Hershy Kisilevsky, Jack Fearnley, Masato Kuwata","submitted_at":"2007-11-12T13:39:40Z","abstract_excerpt":"Let L(E/Q,s) be the L-function of an elliptic curve E defined over the rational field Q. We examine the vanishing and non-vanishing of the central values L(E,1,\\chi) of the twisted L-function as \\chi ranges over Dirichlet characters of given order."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.1771","kind":"arxiv","version":3},"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":"0711.1771","created_at":"2026-05-18T02:58:12.093278+00:00"},{"alias_kind":"arxiv_version","alias_value":"0711.1771v3","created_at":"2026-05-18T02:58:12.093278+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.1771","created_at":"2026-05-18T02:58:12.093278+00:00"},{"alias_kind":"pith_short_12","alias_value":"T5KFP7KYRIWX","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"T5KFP7KYRIWXRYHY","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"T5KFP7KY","created_at":"2026-05-18T12:25:56.245647+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/T5KFP7KYRIWXRYHYNVZIJLHGZI","json":"https://pith.science/pith/T5KFP7KYRIWXRYHYNVZIJLHGZI.json","graph_json":"https://pith.science/api/pith-number/T5KFP7KYRIWXRYHYNVZIJLHGZI/graph.json","events_json":"https://pith.science/api/pith-number/T5KFP7KYRIWXRYHYNVZIJLHGZI/events.json","paper":"https://pith.science/paper/T5KFP7KY"},"agent_actions":{"view_html":"https://pith.science/pith/T5KFP7KYRIWXRYHYNVZIJLHGZI","download_json":"https://pith.science/pith/T5KFP7KYRIWXRYHYNVZIJLHGZI.json","view_paper":"https://pith.science/paper/T5KFP7KY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0711.1771&json=true","fetch_graph":"https://pith.science/api/pith-number/T5KFP7KYRIWXRYHYNVZIJLHGZI/graph.json","fetch_events":"https://pith.science/api/pith-number/T5KFP7KYRIWXRYHYNVZIJLHGZI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T5KFP7KYRIWXRYHYNVZIJLHGZI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T5KFP7KYRIWXRYHYNVZIJLHGZI/action/storage_attestation","attest_author":"https://pith.science/pith/T5KFP7KYRIWXRYHYNVZIJLHGZI/action/author_attestation","sign_citation":"https://pith.science/pith/T5KFP7KYRIWXRYHYNVZIJLHGZI/action/citation_signature","submit_replication":"https://pith.science/pith/T5KFP7KYRIWXRYHYNVZIJLHGZI/action/replication_record"}},"created_at":"2026-05-18T02:58:12.093278+00:00","updated_at":"2026-05-18T02:58:12.093278+00:00"}