{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CDG3343HNFPHS3D4XRGHAKK44V","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cfd0571fcdc92683c13a89a5b06714e9a6b86e3be79fc329404029638327e984","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-12-29T11:49:36Z","title_canon_sha256":"2f32fce85d81cf6b6750dd62dd160b7923e43a559dc63e577c59e953306b346c"},"schema_version":"1.0","source":{"id":"1612.09107","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.09107","created_at":"2026-05-18T00:53:46Z"},{"alias_kind":"arxiv_version","alias_value":"1612.09107v1","created_at":"2026-05-18T00:53:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.09107","created_at":"2026-05-18T00:53:46Z"},{"alias_kind":"pith_short_12","alias_value":"CDG3343HNFPH","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CDG3343HNFPHS3D4","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CDG3343H","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:146bee81673f04af7cf4a1ee20da491deace15d6e61c7295d371dcacab1e092c","target":"graph","created_at":"2026-05-18T00:53:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Inspired by Sun's breakthrough in establishing the nonvanishing hypothesis for Rankin-Selberg convolutions for the groups $\\mathrm{GL}_n (\\mathbb R)\\times \\mathrm{GL}_{n-1} (\\mathbb R)$ and $\\mathrm{GL}_n (\\mathbb C)\\times \\mathrm{GL}_{n-1} (\\mathbb C)$, we confirm it for $\\mathrm{GL}_{n} (\\mathbb C)\\times \\mathrm{GL}_n (\\mathbb C)$ at the central critical point.","authors_text":"Chao-Ping Dong, Huajian Xue","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-12-29T11:49:36Z","title":"On the nonvanishing hypothesis for Rankin-Selberg convolutions for $\\mathrm{GL}_n(\\mathbb C)\\times \\mathrm{GL}_n(\\mathbb C)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.09107","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:339cc4584e871ce7286ebc053f98e6c0c03d9e50aeb881880be700d9940c27dd","target":"record","created_at":"2026-05-18T00:53:46Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"cfd0571fcdc92683c13a89a5b06714e9a6b86e3be79fc329404029638327e984","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-12-29T11:49:36Z","title_canon_sha256":"2f32fce85d81cf6b6750dd62dd160b7923e43a559dc63e577c59e953306b346c"},"schema_version":"1.0","source":{"id":"1612.09107","kind":"arxiv","version":1}},"canonical_sha256":"10cdbdf367695e796c7cbc4c70295ce571748c40b8ecc20f140ab91ceeb5c08a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10cdbdf367695e796c7cbc4c70295ce571748c40b8ecc20f140ab91ceeb5c08a","first_computed_at":"2026-05-18T00:53:46.445668Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:46.445668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bogE8sSo9prRY9Znga2e8SljarT9ZkfqyUd4OACp4o7HeLjZSHGNyYPL3dcl7SkhYxd5GY75S1NZbxf3CXpsAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:46.446042Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.09107","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:339cc4584e871ce7286ebc053f98e6c0c03d9e50aeb881880be700d9940c27dd","sha256:146bee81673f04af7cf4a1ee20da491deace15d6e61c7295d371dcacab1e092c"],"state_sha256":"a02561f7216de1743c32bc9cb07d883fab9eafc9a637cc5b8ce292855ed8c8ed"}