{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WSHINGFIASAKCT4D2G4WGWHH2Q","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":"c1b2f66b60d15f44c62def4a2aff27014db66a269378681d1633b2def14e1780","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-12-05T15:24:50Z","title_canon_sha256":"bceb7abe22d2cf4e9d0d35f11d5fd680713b03ca9009eeb41fe5082cf4a95e69"},"schema_version":"1.0","source":{"id":"1612.01391","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.01391","created_at":"2026-05-18T00:55:52Z"},{"alias_kind":"arxiv_version","alias_value":"1612.01391v1","created_at":"2026-05-18T00:55:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.01391","created_at":"2026-05-18T00:55:52Z"},{"alias_kind":"pith_short_12","alias_value":"WSHINGFIASAK","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WSHINGFIASAKCT4D","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WSHINGFI","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:40f730ea7a7af3768ab51c22d88ee84a13cd8ec2e85842af1df54f4aae6d4dfb","target":"graph","created_at":"2026-05-18T00:55:52Z","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 paper we extend a result on the asymptotics of moments of certain cotangent sums associated to the Estermann and Riemann zeta functions established in a previous paper for integer exponents to arbitrary positive real exponents.","authors_text":"Helmut Maier, Michael Th. Rassias","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-12-05T15:24:50Z","title":"Asymptotics for moments of certain cotangent sums for arbitrary exponents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.01391","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":"sha256:27ce5f617c7fc86a3cc704cb7c60bec8a7f6e246f8dbb44bfa21855d425bdb92","target":"record","created_at":"2026-05-18T00:55:52Z","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":"c1b2f66b60d15f44c62def4a2aff27014db66a269378681d1633b2def14e1780","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2016-12-05T15:24:50Z","title_canon_sha256":"bceb7abe22d2cf4e9d0d35f11d5fd680713b03ca9009eeb41fe5082cf4a95e69"},"schema_version":"1.0","source":{"id":"1612.01391","kind":"arxiv","version":1}},"canonical_sha256":"b48e8698a80480a14f83d1b96358e7d414febc8c3a49722fe3ec0f72ddec1620","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b48e8698a80480a14f83d1b96358e7d414febc8c3a49722fe3ec0f72ddec1620","first_computed_at":"2026-05-18T00:55:52.769574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:52.769574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8gyGm+RP0VSFbt8APSekIPQuNdjs8i4HLJq1V0qkWP1KSytx19jA0CyGV1Hk7ZyCQ1B7/Qq+fbobcPi5c1b+Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:52.770007Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.01391","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:27ce5f617c7fc86a3cc704cb7c60bec8a7f6e246f8dbb44bfa21855d425bdb92","sha256:40f730ea7a7af3768ab51c22d88ee84a13cd8ec2e85842af1df54f4aae6d4dfb"],"state_sha256":"879b2eec4987ac8df3442dcd13acdbeaa65f71314508a6b43d170aea6ad309b7"}