{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:2WYKXC2P7GTAGRGKF45GAH7GTE","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":"d0f975cc6e4fedfba2d29565de6f0364b58ac0e86fd7f1baf37fee2bdbd740f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-08-29T01:31:09Z","title_canon_sha256":"0266044589eac59302b09d4131a6c13a8303b55b602104fce7d23dbd01f1b4d7"},"schema_version":"1.0","source":{"id":"1908.11009","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.11009","created_at":"2026-07-05T00:00:29Z"},{"alias_kind":"arxiv_version","alias_value":"1908.11009v1","created_at":"2026-07-05T00:00:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.11009","created_at":"2026-07-05T00:00:29Z"},{"alias_kind":"pith_short_12","alias_value":"2WYKXC2P7GTA","created_at":"2026-07-05T00:00:29Z"},{"alias_kind":"pith_short_16","alias_value":"2WYKXC2P7GTAGRGK","created_at":"2026-07-05T00:00:29Z"},{"alias_kind":"pith_short_8","alias_value":"2WYKXC2P","created_at":"2026-07-05T00:00:29Z"}],"graph_snapshots":[{"event_id":"sha256:161b2c13b43ad961a8f590ad42568e1aa6ef990de479b8321391ebc4e42e7fc7","target":"graph","created_at":"2026-07-05T00:00:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.11009/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, Masjed-Jamei-Beyki-Koepf studied the so called new type Euler polynomials without making use of Euler polynomials of complex variable. Here we study degenerate and type 2 versions of these new type Euler polynomials, namely the type 2 degenerate cosine-Euler and type 2 degenerate sine-Euler polynomials and also the corresponding ones for Bernoulli polynomials, namely the type 2 degenerate cosine-Bernoulli and type 2 degenerate sine-Bernoulli polynomials by considering the degenerate Euler and degenerate Bernoulli polynomials of complex variable and by treating the real and imaginary ","authors_text":"Dae San Kim, Han-Young Kim, Lee-Chae Jang, Taekyun Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-08-29T01:31:09Z","title":"On type 2 degenerate Bernoulli and Euler polynomials of complex variable"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.11009","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":"sha256:1be9e8fc63571050501c215c504ffa813dbed2d1c09f717c1566e687e4679f8c","target":"record","created_at":"2026-07-05T00:00:29Z","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":"d0f975cc6e4fedfba2d29565de6f0364b58ac0e86fd7f1baf37fee2bdbd740f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-08-29T01:31:09Z","title_canon_sha256":"0266044589eac59302b09d4131a6c13a8303b55b602104fce7d23dbd01f1b4d7"},"schema_version":"1.0","source":{"id":"1908.11009","kind":"arxiv","version":1}},"canonical_sha256":"d5b0ab8b4ff9a60344ca2f3a601fe6993fb9a00dccea1c8e7c4535f17395606f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5b0ab8b4ff9a60344ca2f3a601fe6993fb9a00dccea1c8e7c4535f17395606f","first_computed_at":"2026-07-05T00:00:29.314941Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:00:29.314941Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I8gWwBkci/0jjeZvB69cGCwNSjGJbP+A9F9XbyWhmwZYIwpjS+O7TkcICLLw0+ZB/V1Xg7NHkwgJOzWfWBh7DA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:00:29.315363Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.11009","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1be9e8fc63571050501c215c504ffa813dbed2d1c09f717c1566e687e4679f8c","sha256:161b2c13b43ad961a8f590ad42568e1aa6ef990de479b8321391ebc4e42e7fc7"],"state_sha256":"b76d2818b40d400a12783af82c269c8ca0cff12dc0667361fb7012f06fd8da6d"}