{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:DEMRPP7VL7EWR5FP7LS4BFZIBI","short_pith_number":"pith:DEMRPP7V","canonical_record":{"source":{"id":"1708.08230","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-08-28T08:14:32Z","cross_cats_sorted":[],"title_canon_sha256":"657b6403822dd7ffa51357e25bd9e417de290c45fc98b75ef227188b29c69dd6","abstract_canon_sha256":"7204c6d83cbc35fac2b8faca595265bd2c034f931389e34f3ffb8de820bb5cf8"},"schema_version":"1.0"},"canonical_sha256":"191917bff55fc968f4affae5c097280a2161896aaad3b22c471ed03ee4db7c25","source":{"kind":"arxiv","id":"1708.08230","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08230","created_at":"2026-05-18T00:36:36Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08230v1","created_at":"2026-05-18T00:36:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08230","created_at":"2026-05-18T00:36:36Z"},{"alias_kind":"pith_short_12","alias_value":"DEMRPP7VL7EW","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DEMRPP7VL7EWR5FP","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DEMRPP7V","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:DEMRPP7VL7EWR5FP7LS4BFZIBI","target":"record","payload":{"canonical_record":{"source":{"id":"1708.08230","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-08-28T08:14:32Z","cross_cats_sorted":[],"title_canon_sha256":"657b6403822dd7ffa51357e25bd9e417de290c45fc98b75ef227188b29c69dd6","abstract_canon_sha256":"7204c6d83cbc35fac2b8faca595265bd2c034f931389e34f3ffb8de820bb5cf8"},"schema_version":"1.0"},"canonical_sha256":"191917bff55fc968f4affae5c097280a2161896aaad3b22c471ed03ee4db7c25","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:36.630582Z","signature_b64":"MEQuEGcpWmyysaHRpTAcSZT6FSiNKqIaiNrK045eJr/e0BChvUplNEjAWIjQZq/WUYPN7yu3IO4Qx4kakGnPCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"191917bff55fc968f4affae5c097280a2161896aaad3b22c471ed03ee4db7c25","last_reissued_at":"2026-05-18T00:36:36.630097Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:36.630097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.08230","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:36:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qLzWt1yyBs1OL7gpyvUFVX+HBS45sREET1kT5rx6UkXqCeYwH0+hJLrImBU2xQwVj5myfkxdAAl20/4yEg0ZAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T19:43:15.241373Z"},"content_sha256":"5dcbaa3d9061364a9155b8e3f9f4950060ae8b9030b6d108bb8a7c50a7cebdef","schema_version":"1.0","event_id":"sha256:5dcbaa3d9061364a9155b8e3f9f4950060ae8b9030b6d108bb8a7c50a7cebdef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:DEMRPP7VL7EWR5FP7LS4BFZIBI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Subclass of k-uniformly starlike functions defined by symmetric q-derivative operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"S. Altinkaya, S. Kanas, S. Yalcin","submitted_at":"2017-08-28T08:14:32Z","abstract_excerpt":"The theory of $q$-analogs frequently occurs in a number of areas, including the fractals and dynamical systems. The $q$-derivatives and $q$-integrals play a prominent role in the study of $q$-deformed quantum mechanical simple harmonic oscillator. In this paper, we define a symmetric $q$-derivative operator and study new family of univalent functions defined by use of that operator. We establish some new relations between functions satisfying analytic conditions related to conical sections."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08230","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:36:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BGupyb3Zawldzn8J1lp/v5s2zKa3t9Z2agaY8JClfZvquSr63gfUIB2jw23J611FSwup95hQfssgpfLkD/GbAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T19:43:15.241735Z"},"content_sha256":"826460d7910ec5781cd8691154c5c68c996e7831d376a2ac62cb3a0aa768245a","schema_version":"1.0","event_id":"sha256:826460d7910ec5781cd8691154c5c68c996e7831d376a2ac62cb3a0aa768245a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DEMRPP7VL7EWR5FP7LS4BFZIBI/bundle.json","state_url":"https://pith.science/pith/DEMRPP7VL7EWR5FP7LS4BFZIBI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DEMRPP7VL7EWR5FP7LS4BFZIBI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-24T19:43:15Z","links":{"resolver":"https://pith.science/pith/DEMRPP7VL7EWR5FP7LS4BFZIBI","bundle":"https://pith.science/pith/DEMRPP7VL7EWR5FP7LS4BFZIBI/bundle.json","state":"https://pith.science/pith/DEMRPP7VL7EWR5FP7LS4BFZIBI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DEMRPP7VL7EWR5FP7LS4BFZIBI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DEMRPP7VL7EWR5FP7LS4BFZIBI","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":"7204c6d83cbc35fac2b8faca595265bd2c034f931389e34f3ffb8de820bb5cf8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-08-28T08:14:32Z","title_canon_sha256":"657b6403822dd7ffa51357e25bd9e417de290c45fc98b75ef227188b29c69dd6"},"schema_version":"1.0","source":{"id":"1708.08230","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.08230","created_at":"2026-05-18T00:36:36Z"},{"alias_kind":"arxiv_version","alias_value":"1708.08230v1","created_at":"2026-05-18T00:36:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.08230","created_at":"2026-05-18T00:36:36Z"},{"alias_kind":"pith_short_12","alias_value":"DEMRPP7VL7EW","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"DEMRPP7VL7EWR5FP","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"DEMRPP7V","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:826460d7910ec5781cd8691154c5c68c996e7831d376a2ac62cb3a0aa768245a","target":"graph","created_at":"2026-05-18T00:36:36Z","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":"The theory of $q$-analogs frequently occurs in a number of areas, including the fractals and dynamical systems. The $q$-derivatives and $q$-integrals play a prominent role in the study of $q$-deformed quantum mechanical simple harmonic oscillator. In this paper, we define a symmetric $q$-derivative operator and study new family of univalent functions defined by use of that operator. We establish some new relations between functions satisfying analytic conditions related to conical sections.","authors_text":"S. Altinkaya, S. Kanas, S. Yalcin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-08-28T08:14:32Z","title":"Subclass of k-uniformly starlike functions defined by symmetric q-derivative operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.08230","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":"sha256:5dcbaa3d9061364a9155b8e3f9f4950060ae8b9030b6d108bb8a7c50a7cebdef","target":"record","created_at":"2026-05-18T00:36:36Z","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":"7204c6d83cbc35fac2b8faca595265bd2c034f931389e34f3ffb8de820bb5cf8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2017-08-28T08:14:32Z","title_canon_sha256":"657b6403822dd7ffa51357e25bd9e417de290c45fc98b75ef227188b29c69dd6"},"schema_version":"1.0","source":{"id":"1708.08230","kind":"arxiv","version":1}},"canonical_sha256":"191917bff55fc968f4affae5c097280a2161896aaad3b22c471ed03ee4db7c25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"191917bff55fc968f4affae5c097280a2161896aaad3b22c471ed03ee4db7c25","first_computed_at":"2026-05-18T00:36:36.630097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:36.630097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MEQuEGcpWmyysaHRpTAcSZT6FSiNKqIaiNrK045eJr/e0BChvUplNEjAWIjQZq/WUYPN7yu3IO4Qx4kakGnPCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:36.630582Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.08230","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5dcbaa3d9061364a9155b8e3f9f4950060ae8b9030b6d108bb8a7c50a7cebdef","sha256:826460d7910ec5781cd8691154c5c68c996e7831d376a2ac62cb3a0aa768245a"],"state_sha256":"8c3525cdc4b0b4b7dedd0a33d634a2c484c3216e26a16d919a34ffafd62f211c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PjN/lJlGTBpOC+v360ZTyhcEIxYTk5N7VqG2eGcqJeaAfCTXcKs1sSH33MRW/xWXVvwTT7ISOhcBhqqjKXGOBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T19:43:15.243632Z","bundle_sha256":"ac5b9fdd85207c1a0873633a63dbc9a81dc0d682ad5d4a632583ab4908a7ed2d"}}