{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PALXODPCDDD6LRE7TCSGYKDB43","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":"bcae0c4e97ce8b57f42ea0600628fcb919702ee922e4b43af56e7196ea677bbb","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-31T01:52:26Z","title_canon_sha256":"2c34d69923b5fb82ba3a77cf5fc374b1026695a2c15269f0f0a0eefeddf9923e"},"schema_version":"1.0","source":{"id":"1709.00335","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.00335","created_at":"2026-05-18T00:36:10Z"},{"alias_kind":"arxiv_version","alias_value":"1709.00335v1","created_at":"2026-05-18T00:36:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.00335","created_at":"2026-05-18T00:36:10Z"},{"alias_kind":"pith_short_12","alias_value":"PALXODPCDDD6","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PALXODPCDDD6LRE7","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PALXODPC","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:aa746cc7a75ba2a2a4874875bfbc487ea52a852094dd25594dfaf9ad7be35d8e","target":"graph","created_at":"2026-05-18T00:36:10Z","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":"By means of the derivative operator and Whipple-type $_3F_2$-series identities, two families of summation formulae involving generalized harmonic numbers are established.","authors_text":"Chuanan Wei, Xiaoxia Wang","cross_cats":["math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-31T01:52:26Z","title":"Whipple-type $_3F_2$-series and summation formulae involving generalized harmonic numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00335","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":"sha256:7b2662212584c2a6c2f4461ea54116fd4e7790edc9228c9f38beba7ee7e37298","target":"record","created_at":"2026-05-18T00:36:10Z","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":"bcae0c4e97ce8b57f42ea0600628fcb919702ee922e4b43af56e7196ea677bbb","cross_cats_sorted":["math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-08-31T01:52:26Z","title_canon_sha256":"2c34d69923b5fb82ba3a77cf5fc374b1026695a2c15269f0f0a0eefeddf9923e"},"schema_version":"1.0","source":{"id":"1709.00335","kind":"arxiv","version":1}},"canonical_sha256":"7817770de218c7e5c49f98a46c2861e6dd13b1f94214f7031b2cb4768716563b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7817770de218c7e5c49f98a46c2861e6dd13b1f94214f7031b2cb4768716563b","first_computed_at":"2026-05-18T00:36:10.644797Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:10.644797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"haPovxbN6vGIO1Rc3mY7Pjgi7dmYXHiITiyDRjvTbNq/7KCEC4Y3sPALTo9CGuWOgcXV7lZovME7Blit3oghAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:10.645453Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.00335","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b2662212584c2a6c2f4461ea54116fd4e7790edc9228c9f38beba7ee7e37298","sha256:aa746cc7a75ba2a2a4874875bfbc487ea52a852094dd25594dfaf9ad7be35d8e"],"state_sha256":"5c734ea6cc547b6994d9fe2fe6ed941767f4bb2305d7042407e339c5b99c5d3a"}