{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:F5W4MX3RLQ5FSNLZAH7XLTFSXO","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":"0b03657f95856019017f3ba76f134c8b7229b94b96242dca56e206a49372f542","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-15T13:21:57Z","title_canon_sha256":"83f074a7548511b379e9089023c68912563db9513e6db9448df24cabd2359b6d"},"schema_version":"1.0","source":{"id":"1712.05660","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05660","created_at":"2026-05-18T00:27:55Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05660v1","created_at":"2026-05-18T00:27:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05660","created_at":"2026-05-18T00:27:55Z"},{"alias_kind":"pith_short_12","alias_value":"F5W4MX3RLQ5F","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"F5W4MX3RLQ5FSNLZ","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"F5W4MX3R","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:1eb729a966d93d362c077c1ed40fffa4188fbbad3530ef51fb0a74062538b7ca","target":"graph","created_at":"2026-05-18T00:27:55Z","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":"We investigate non-vanishing properties of $L(f,s)$ on the real line, when $f$ is a Hecke eigenform of half-integral weight $k+{1\\over 2}$ on $\\Gamma_0(4).$","authors_text":"Winfried Kohnen, YoungJu Choie","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-15T13:21:57Z","title":"On Hecke $L$-functions attached to half-integral weight modular forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05660","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:a3318b7ea7629d7340631f87239579d56541803844f4707c1c0dad1a34d89bfb","target":"record","created_at":"2026-05-18T00:27:55Z","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":"0b03657f95856019017f3ba76f134c8b7229b94b96242dca56e206a49372f542","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-12-15T13:21:57Z","title_canon_sha256":"83f074a7548511b379e9089023c68912563db9513e6db9448df24cabd2359b6d"},"schema_version":"1.0","source":{"id":"1712.05660","kind":"arxiv","version":1}},"canonical_sha256":"2f6dc65f715c3a59357901ff75ccb2bb915c990b9215ca7c4166e5b73757e291","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f6dc65f715c3a59357901ff75ccb2bb915c990b9215ca7c4166e5b73757e291","first_computed_at":"2026-05-18T00:27:55.943341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:55.943341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xUzlQnAkgxRRtCM7jfsHxgUPtF1UNBlpreW3OiaQgBKHdNu3s7WjK84Wna9JqjCDcBTpwyYnzP6X9SpZYT3NDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:55.944022Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.05660","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3318b7ea7629d7340631f87239579d56541803844f4707c1c0dad1a34d89bfb","sha256:1eb729a966d93d362c077c1ed40fffa4188fbbad3530ef51fb0a74062538b7ca"],"state_sha256":"413254a725a6e20cf390ceb1af0b6b76b333269e6830465a747af764c9e75a9e"}