{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LXUYEACF6SJ6GWN3UUZQSQBWF3","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":"a712f79b6cf9bdf1a7d800628dd5be88d4a0ef7fc5f68995e6051719606fc0e1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.NT","submitted_at":"2012-11-02T23:40:07Z","title_canon_sha256":"2459699819802a371cf58083e5dfb4b10f6a157bd1d8b91aeee01c973bde08d1"},"schema_version":"1.0","source":{"id":"1211.1233","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1233","created_at":"2026-05-17T23:41:37Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1233v1","created_at":"2026-05-17T23:41:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1233","created_at":"2026-05-17T23:41:37Z"},{"alias_kind":"pith_short_12","alias_value":"LXUYEACF6SJ6","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LXUYEACF6SJ6GWN3","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LXUYEACF","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:29cb8cc7e796269acdfb0706a15d526d9ca08acde462957a1bc92232028d07a0","target":"graph","created_at":"2026-05-17T23:41:37Z","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 the present paper, our goal is to introduce a p-adic continuous function for an odd prime to inside a p-adic q-analogue of the higher order dedekind-type sums with weight alpha related to Extended q-Euler polynomials by using p-adic q-integral in the p-adic integer ring.","authors_text":"Mehmet Acikgoz, Serkan Araci","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.NT","submitted_at":"2012-11-02T23:40:07Z","title":"Extended q-Dedekind-type Daehee-Changhee sums associated with Extended q-Euler polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1233","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":"sha256:2e3f6d5670aa68ff57c8f27b7600de75af581fce13afa0d394c55a68a2434061","target":"record","created_at":"2026-05-17T23:41:37Z","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":"a712f79b6cf9bdf1a7d800628dd5be88d4a0ef7fc5f68995e6051719606fc0e1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.NT","submitted_at":"2012-11-02T23:40:07Z","title_canon_sha256":"2459699819802a371cf58083e5dfb4b10f6a157bd1d8b91aeee01c973bde08d1"},"schema_version":"1.0","source":{"id":"1211.1233","kind":"arxiv","version":1}},"canonical_sha256":"5de9820045f493e359bba5330940362eecf93da05b47b982e3323ed07420688a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5de9820045f493e359bba5330940362eecf93da05b47b982e3323ed07420688a","first_computed_at":"2026-05-17T23:41:37.754342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:37.754342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SqpxNN7SxoysliknfG2ie5E1YdrjKiz/sXsA6lxJGS2Tl90kFArxPlRbTWtslA9c6xlmGyNCn3qE6c/li/SMBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:37.754905Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1233","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e3f6d5670aa68ff57c8f27b7600de75af581fce13afa0d394c55a68a2434061","sha256:29cb8cc7e796269acdfb0706a15d526d9ca08acde462957a1bc92232028d07a0"],"state_sha256":"b517333b977ca99843f1b9e6b9ba906016aa68d163e8b85e9c34cd4fc0f08df1"}