{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JHTPV3CJ4XM2ZBGNABOFIAPLJT","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":"6f3a6b6d291c3f20578e80f72d2d58104182f4d557906ba79ef43ee97d7f1e30","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.NT","submitted_at":"2012-11-10T21:03:45Z","title_canon_sha256":"66e6675975eab5c1a58c25a499dd057499d56b128b212ae30280524e6790ec47"},"schema_version":"1.0","source":{"id":"1211.2350","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2350","created_at":"2026-05-18T03:35:13Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2350v1","created_at":"2026-05-18T03:35:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2350","created_at":"2026-05-18T03:35:13Z"},{"alias_kind":"pith_short_12","alias_value":"JHTPV3CJ4XM2","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JHTPV3CJ4XM2ZBGN","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JHTPV3CJ","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:571c693651f33f4ad903e9f9c193512202eb502200ae5dba1647045e2d8e3491","target":"graph","created_at":"2026-05-18T03:35:13Z","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 objective is to treat 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 in connection with modified q-Genocchi polynomials with weight alpha by using p-adic invariant q-integral on Zp.","authors_text":"Ayhan Esi, Mehmet Acikgoz, Serkan Araci","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.NT","submitted_at":"2012-11-10T21:03:45Z","title":"A note on the q-Dedekind-type Daehee-Changhee sums with weight alpha arising from modified q-Genocchi polynomials with weight alpha"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2350","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":"sha256:86168c483706ca70beb03fc2843e807deee750a178cbb10deb06a06478c44ee9","target":"record","created_at":"2026-05-18T03:35:13Z","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":"6f3a6b6d291c3f20578e80f72d2d58104182f4d557906ba79ef43ee97d7f1e30","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.NT","submitted_at":"2012-11-10T21:03:45Z","title_canon_sha256":"66e6675975eab5c1a58c25a499dd057499d56b128b212ae30280524e6790ec47"},"schema_version":"1.0","source":{"id":"1211.2350","kind":"arxiv","version":1}},"canonical_sha256":"49e6faec49e5d9ac84cd005c5401eb4cf642d3c8b6ec58075acc04e7aa197557","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49e6faec49e5d9ac84cd005c5401eb4cf642d3c8b6ec58075acc04e7aa197557","first_computed_at":"2026-05-18T03:35:13.508700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:13.508700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tY81hVK+eOF1EdmEo1D6YhnNX/9lnMjlW3c+ve5BCnnjVYxVd4eV1UfztuWMX/vo64MmqbeUFXNk3NMhzw2bDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:13.509344Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.2350","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86168c483706ca70beb03fc2843e807deee750a178cbb10deb06a06478c44ee9","sha256:571c693651f33f4ad903e9f9c193512202eb502200ae5dba1647045e2d8e3491"],"state_sha256":"619b1c0fd0dad4342d24c45d596eb80ae82168a90a1b334183deb45c4f9e76f2"}