{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:EXFGSMUW5PQBES2JDJ2YLHZDSN","short_pith_number":"pith:EXFGSMUW","canonical_record":{"source":{"id":"1904.09110","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-04-19T08:00:32Z","cross_cats_sorted":[],"title_canon_sha256":"0fea2ab1140cbff8caaffb16a6b99589b9d8e6eb8a610d4bb6357a5252174107","abstract_canon_sha256":"e875bc77f125de615c61ae93a7dc9d7b66e02b7098091e5c7a34acd1d5866f6d"},"schema_version":"1.0"},"canonical_sha256":"25ca693296ebe0124b491a75859f23935c26c75fc7c65cd3a27c9e7db63abad0","source":{"kind":"arxiv","id":"1904.09110","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.09110","created_at":"2026-05-17T23:42:19Z"},{"alias_kind":"arxiv_version","alias_value":"1904.09110v1","created_at":"2026-05-17T23:42:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.09110","created_at":"2026-05-17T23:42:19Z"},{"alias_kind":"pith_short_12","alias_value":"EXFGSMUW5PQB","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"EXFGSMUW5PQBES2J","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"EXFGSMUW","created_at":"2026-05-18T12:33:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:EXFGSMUW5PQBES2JDJ2YLHZDSN","target":"record","payload":{"canonical_record":{"source":{"id":"1904.09110","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-04-19T08:00:32Z","cross_cats_sorted":[],"title_canon_sha256":"0fea2ab1140cbff8caaffb16a6b99589b9d8e6eb8a610d4bb6357a5252174107","abstract_canon_sha256":"e875bc77f125de615c61ae93a7dc9d7b66e02b7098091e5c7a34acd1d5866f6d"},"schema_version":"1.0"},"canonical_sha256":"25ca693296ebe0124b491a75859f23935c26c75fc7c65cd3a27c9e7db63abad0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:19.715076Z","signature_b64":"7UO4BLkGaSZthkwBssNm8krymNQYjFQctaJ47sSVWsKdMVtzmRIGkK4H3vuVcM/ORL0iQ3Z+FugsYJ0BNfuOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25ca693296ebe0124b491a75859f23935c26c75fc7c65cd3a27c9e7db63abad0","last_reissued_at":"2026-05-17T23:42:19.714482Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:19.714482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.09110","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":"2026-05-17T23:42:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6JLEIrxLqTeuI50focpLClrK0PfhI6zlPAWSm79u5n7PXxpvmoc+8fFZrsMX171pc+5VQl9WaMPtA1R6wO2mCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T16:32:13.522426Z"},"content_sha256":"59d84214ee9a1a2c4494aeb20352e4f82b665bbe81dff13dc4e19b4e3ca734f6","schema_version":"1.0","event_id":"sha256:59d84214ee9a1a2c4494aeb20352e4f82b665bbe81dff13dc4e19b4e3ca734f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:EXFGSMUW5PQBES2JDJ2YLHZDSN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hidden variable recurrent fractal interpolation function with four function contractivity factors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Chol-Hui Yun","submitted_at":"2019-04-19T08:00:32Z","abstract_excerpt":"In this paper, we introduce a construction of hidden variable recurrent fractal interpolation functions (HVRFIF) with four function contractivity factors. In the fractal interpolation theory, it is very important to ensure flexibility and diversity of the construction of interpolation function. Recurrent iterated function system (RIFS) produce fractal sets with local self-similarity structure. Therefore the RIFS can describe the irregular and complicated objects in nature better than the iterated function system (IFS). Hidden variable fractal interpolation function (HVFIF) is neither self-simi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.09110","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":"2026-05-17T23:42:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bPUZEQXf3SNovQRDbiL7yfDRie5Tyzg33SeJ9Hwk+NuyXlU0mWoPtk+IZ4GVSlS8yqsiz0LGaM4e1mnASyM7AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T16:32:13.522776Z"},"content_sha256":"c58362a16ee82c0452414fbbf6e9d994fd32f095d22a22a0ef8115a4d6155487","schema_version":"1.0","event_id":"sha256:c58362a16ee82c0452414fbbf6e9d994fd32f095d22a22a0ef8115a4d6155487"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EXFGSMUW5PQBES2JDJ2YLHZDSN/bundle.json","state_url":"https://pith.science/pith/EXFGSMUW5PQBES2JDJ2YLHZDSN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EXFGSMUW5PQBES2JDJ2YLHZDSN/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":"2026-06-26T16:32:13Z","links":{"resolver":"https://pith.science/pith/EXFGSMUW5PQBES2JDJ2YLHZDSN","bundle":"https://pith.science/pith/EXFGSMUW5PQBES2JDJ2YLHZDSN/bundle.json","state":"https://pith.science/pith/EXFGSMUW5PQBES2JDJ2YLHZDSN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EXFGSMUW5PQBES2JDJ2YLHZDSN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:EXFGSMUW5PQBES2JDJ2YLHZDSN","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":"e875bc77f125de615c61ae93a7dc9d7b66e02b7098091e5c7a34acd1d5866f6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-04-19T08:00:32Z","title_canon_sha256":"0fea2ab1140cbff8caaffb16a6b99589b9d8e6eb8a610d4bb6357a5252174107"},"schema_version":"1.0","source":{"id":"1904.09110","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.09110","created_at":"2026-05-17T23:42:19Z"},{"alias_kind":"arxiv_version","alias_value":"1904.09110v1","created_at":"2026-05-17T23:42:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.09110","created_at":"2026-05-17T23:42:19Z"},{"alias_kind":"pith_short_12","alias_value":"EXFGSMUW5PQB","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"EXFGSMUW5PQBES2J","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"EXFGSMUW","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:c58362a16ee82c0452414fbbf6e9d994fd32f095d22a22a0ef8115a4d6155487","target":"graph","created_at":"2026-05-17T23:42:19Z","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 introduce a construction of hidden variable recurrent fractal interpolation functions (HVRFIF) with four function contractivity factors. In the fractal interpolation theory, it is very important to ensure flexibility and diversity of the construction of interpolation function. Recurrent iterated function system (RIFS) produce fractal sets with local self-similarity structure. Therefore the RIFS can describe the irregular and complicated objects in nature better than the iterated function system (IFS). Hidden variable fractal interpolation function (HVFIF) is neither self-simi","authors_text":"Chol-Hui Yun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-04-19T08:00:32Z","title":"Hidden variable recurrent fractal interpolation function with four function contractivity factors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.09110","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":"sha256:59d84214ee9a1a2c4494aeb20352e4f82b665bbe81dff13dc4e19b4e3ca734f6","target":"record","created_at":"2026-05-17T23:42:19Z","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":"e875bc77f125de615c61ae93a7dc9d7b66e02b7098091e5c7a34acd1d5866f6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2019-04-19T08:00:32Z","title_canon_sha256":"0fea2ab1140cbff8caaffb16a6b99589b9d8e6eb8a610d4bb6357a5252174107"},"schema_version":"1.0","source":{"id":"1904.09110","kind":"arxiv","version":1}},"canonical_sha256":"25ca693296ebe0124b491a75859f23935c26c75fc7c65cd3a27c9e7db63abad0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25ca693296ebe0124b491a75859f23935c26c75fc7c65cd3a27c9e7db63abad0","first_computed_at":"2026-05-17T23:42:19.714482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:19.714482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7UO4BLkGaSZthkwBssNm8krymNQYjFQctaJ47sSVWsKdMVtzmRIGkK4H3vuVcM/ORL0iQ3Z+FugsYJ0BNfuOBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:19.715076Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.09110","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59d84214ee9a1a2c4494aeb20352e4f82b665bbe81dff13dc4e19b4e3ca734f6","sha256:c58362a16ee82c0452414fbbf6e9d994fd32f095d22a22a0ef8115a4d6155487"],"state_sha256":"c7f7f22454c86a5c1d9210978f6c1800e2165be1791226d6a99bfe67156ad98f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7qf/273Kjk2vx2uzsMDbYI1I3+IYaUo1Sj9HQCUigcBnaj3luF78N991pdipMO1LBymx4XVTqD/xC8wNQJsaCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T16:32:13.524671Z","bundle_sha256":"cffe0cae342e73f4da71beec8c51c61528c98514868001d7978c85705a210c54"}}