{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:O752OVFH6CHRABK5ISGNI7OWHJ","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":"5bf88e3c786f6aa9cdcaeae29c497114e6ff5705552efdab6f5bdc14ce8bfa20","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-04-20T01:01:52Z","title_canon_sha256":"244043e4b40d6d44a1e03355789f711599c62a2e26ad36466776fc58644d7954"},"schema_version":"1.0","source":{"id":"1704.05968","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05968","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05968v2","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05968","created_at":"2026-05-18T00:45:58Z"},{"alias_kind":"pith_short_12","alias_value":"O752OVFH6CHR","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"O752OVFH6CHRABK5","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"O752OVFH","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:e8785a49f313c08d676b43a288b309f8927f9115423289a141d88f718fa5133a","target":"graph","created_at":"2026-05-18T00:45:58Z","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":"In this short note, we treat an unbalanced shifted convolution sum of Fourier coefficients of cusp forms by a rather simple argument. Our result improves previous results established by more advanced approaches.","authors_text":"Guangshi L\\\"u","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-04-20T01:01:52Z","title":"Note on Triple correlations of Fourier coefficients of cusp forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05968","kind":"arxiv","version":2},"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:c8364b639cbf95d55b06349dc7381df1ef3885126ce5d05be5e557ba05df493b","target":"record","created_at":"2026-05-18T00:45:58Z","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":"5bf88e3c786f6aa9cdcaeae29c497114e6ff5705552efdab6f5bdc14ce8bfa20","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-04-20T01:01:52Z","title_canon_sha256":"244043e4b40d6d44a1e03355789f711599c62a2e26ad36466776fc58644d7954"},"schema_version":"1.0","source":{"id":"1704.05968","kind":"arxiv","version":2}},"canonical_sha256":"77fba754a7f08f10055d448cd47dd63a5e26e34688ef3629f150ef186df0a3e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"77fba754a7f08f10055d448cd47dd63a5e26e34688ef3629f150ef186df0a3e7","first_computed_at":"2026-05-18T00:45:58.008389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:58.008389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JaYuR2dADtNopOXXKTtMGqK/7nMUK2PHDv1uCjs/Lreja0dRRcKhooRm4fZUEHKDIrza/60c41GRxtOSmjavDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:58.008975Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.05968","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8364b639cbf95d55b06349dc7381df1ef3885126ce5d05be5e557ba05df493b","sha256:e8785a49f313c08d676b43a288b309f8927f9115423289a141d88f718fa5133a"],"state_sha256":"f6cba244bd7a65a88030875baa2222f98ae8e73cb1776fb9ffd5f389bf2548b4"}