{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5HDPBFZWK66ARW4QMN3NHFM4L4","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":"9cfac8506a05fd40adc60b6c8f26819fda934dc6acdb05b74fa9704a43f86d3b","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-06-05T08:51:30Z","title_canon_sha256":"9400c31d1375f9bd8fa32fd55136e8c412c8bedb3d7d15263ca519a09b5656f3"},"schema_version":"1.0","source":{"id":"1506.01819","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.01819","created_at":"2026-05-18T01:48:06Z"},{"alias_kind":"arxiv_version","alias_value":"1506.01819v2","created_at":"2026-05-18T01:48:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.01819","created_at":"2026-05-18T01:48:06Z"},{"alias_kind":"pith_short_12","alias_value":"5HDPBFZWK66A","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"5HDPBFZWK66ARW4Q","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"5HDPBFZW","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:4b5c9ce0eba7aa721dd29a921b61af8008757375302627f81ccf9276d040a21c","target":"graph","created_at":"2026-05-18T01:48:06Z","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":"I use the numerical values of the generalised Glaisher-Kinkelin-Bendersky (GKB) constants to give numerical values for the derivatives of the Hurwitz zeta function at negative integers, rather than the other way round. I point out that both Glaisher's numerical approach and Bendersky's recursion for the generalised gamma function were anticipated by Jeffery in 1862 who gave the value of the second constant as an example. I therefore propose that GKB become GKBJ.","authors_text":"J.S. Dowker","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-06-05T08:51:30Z","title":"Computation of the derivative of the Hurwitz zeta-function and the higher Kinkelin constants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01819","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":"sha256:9b9fa3b7b259edbf2c5e9fb619b40b9a24093491941c6111c77344ba9a61ea57","target":"record","created_at":"2026-05-18T01:48:06Z","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":"9cfac8506a05fd40adc60b6c8f26819fda934dc6acdb05b74fa9704a43f86d3b","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-06-05T08:51:30Z","title_canon_sha256":"9400c31d1375f9bd8fa32fd55136e8c412c8bedb3d7d15263ca519a09b5656f3"},"schema_version":"1.0","source":{"id":"1506.01819","kind":"arxiv","version":2}},"canonical_sha256":"e9c6f0973657bc08db906376d3959c5f3bae0c426f1641278cd5ece2f11c1298","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9c6f0973657bc08db906376d3959c5f3bae0c426f1641278cd5ece2f11c1298","first_computed_at":"2026-05-18T01:48:06.047926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:06.047926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TntttcCiEToYdQjilzMIlbMDZNvJEdQILhTSfA6cDKbn83RbSodObtE8GKkup4DV5yXC5/ERZIgBzAPPMwBkDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:06.048363Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.01819","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b9fa3b7b259edbf2c5e9fb619b40b9a24093491941c6111c77344ba9a61ea57","sha256:4b5c9ce0eba7aa721dd29a921b61af8008757375302627f81ccf9276d040a21c"],"state_sha256":"8225aa701743892031cd7f8ba3a19f66aadf97560aea6bbfb2321d507383f4e1"}