{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:IILJRGZKR7D5BMWSUEZGTXR4WC","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":"300cad6ea175311b3d1f4e18b109581d46c0ecebb04b0ee7850efb2bc5427660","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-06T23:11:52Z","title_canon_sha256":"3b5f5c4f3609dc55426461fc85189dcbe16c0c8cf2e2adf4309079802d20ebe7"},"schema_version":"1.0","source":{"id":"1803.02467","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.02467","created_at":"2026-05-18T00:06:16Z"},{"alias_kind":"arxiv_version","alias_value":"1803.02467v2","created_at":"2026-05-18T00:06:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.02467","created_at":"2026-05-18T00:06:16Z"},{"alias_kind":"pith_short_12","alias_value":"IILJRGZKR7D5","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IILJRGZKR7D5BMWS","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IILJRGZK","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:2e67bca8da5b87e09ac422c365e5c59ac03f7c8b019565118ccba331792f6f78","target":"graph","created_at":"2026-05-18T00:06:16Z","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 provide a $q$-analogue of Euler's formula for $\\zeta(2k)$ for $k\\in\\mathbb{Z}^+$. Our main results are stated in Theorems 3.1 and 3.2 below. The result generalizes a recent result of Z.W. Sun who obtained $q$-analogues of $\\zeta(2)=\\pi^2/6$ and $\\zeta(4)=\\pi^4/90$.","authors_text":"Ankush Goswami","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-06T23:11:52Z","title":"A $q$-analogue for Euler's evaluations of the Riemann zeta function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.02467","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":"sha256:1fc8da82873aef1776775aaa1a4eeb1894866dc78f1a5f8e7e6b08ae5361dc5d","target":"record","created_at":"2026-05-18T00:06:16Z","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":"300cad6ea175311b3d1f4e18b109581d46c0ecebb04b0ee7850efb2bc5427660","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-03-06T23:11:52Z","title_canon_sha256":"3b5f5c4f3609dc55426461fc85189dcbe16c0c8cf2e2adf4309079802d20ebe7"},"schema_version":"1.0","source":{"id":"1803.02467","kind":"arxiv","version":2}},"canonical_sha256":"4216989b2a8fc7d0b2d2a13269de3cb0beaf18e2cf3452a892b3613eb3844af8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4216989b2a8fc7d0b2d2a13269de3cb0beaf18e2cf3452a892b3613eb3844af8","first_computed_at":"2026-05-18T00:06:16.179671Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:16.179671Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QAJ7a/Pyqr1K93cKtF6h9LpxCvv/quyeD9Hyz2AxvQ4cZVuQjK5nAxL0v+FPpaQp1lAjRFJQrRpgeZUu4AVpCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:16.180173Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.02467","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fc8da82873aef1776775aaa1a4eeb1894866dc78f1a5f8e7e6b08ae5361dc5d","sha256:2e67bca8da5b87e09ac422c365e5c59ac03f7c8b019565118ccba331792f6f78"],"state_sha256":"09e53c1a49ff76d56965fa9b5f448fba5ab206b509ad4685211bbe465e683a45"}