{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ASY2VF64B6KD6MTNWZYWFFHWIT","short_pith_number":"pith:ASY2VF64","schema_version":"1.0","canonical_sha256":"04b1aa97dc0f943f326db6716294f644c73716d85e5a6de1362be222cd9a35b6","source":{"kind":"arxiv","id":"1508.06862","version":1},"attestation_state":"computed","paper":{"title":"Fractional Weierstrass function by application of Jumarie fractional trigonometric functions and its analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Shantanu Das, Susmita Sarkar, Uttam Ghosh","submitted_at":"2015-08-18T11:22:23Z","abstract_excerpt":"The classical example of no-where differentiable but everywhere continuous function is Weierstrass function. In this paper we define the fractional order Weierstrass function in terms of Jumarie fractional trigonometric functions. The Holder exponent and Box dimension of this function are calculated here. It is established that the Holder exponent and Box dimension of this fractional order Weierstrass function are the same as in the original Weierstrass function, independent of incorporating the fractional trigonometric function. This is new development in generalizing the classical Weierstras"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1508.06862","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-08-18T11:22:23Z","cross_cats_sorted":[],"title_canon_sha256":"75e3079a5e88ad05653b5e20c78bbd2afce9ebdd6fc2bf009b83f447534046b1","abstract_canon_sha256":"303b7b8460b0b6e51bff1cd34f2ea786eb05551cba43c078bbef74c98e15479a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:15.968923Z","signature_b64":"dUAqRBxT5vlNxNwUxg5dRpuz05e8bJB1TNyJwUfOAxB+TKS+mLjyyee7Rq/Kt763vNsNDr37EX+Oaa70xCYFDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04b1aa97dc0f943f326db6716294f644c73716d85e5a6de1362be222cd9a35b6","last_reissued_at":"2026-05-18T01:19:15.968576Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:15.968576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fractional Weierstrass function by application of Jumarie fractional trigonometric functions and its analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Shantanu Das, Susmita Sarkar, Uttam Ghosh","submitted_at":"2015-08-18T11:22:23Z","abstract_excerpt":"The classical example of no-where differentiable but everywhere continuous function is Weierstrass function. In this paper we define the fractional order Weierstrass function in terms of Jumarie fractional trigonometric functions. The Holder exponent and Box dimension of this function are calculated here. It is established that the Holder exponent and Box dimension of this fractional order Weierstrass function are the same as in the original Weierstrass function, independent of incorporating the fractional trigonometric function. This is new development in generalizing the classical Weierstras"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.06862","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1508.06862","created_at":"2026-05-18T01:19:15.968631+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.06862v1","created_at":"2026-05-18T01:19:15.968631+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.06862","created_at":"2026-05-18T01:19:15.968631+00:00"},{"alias_kind":"pith_short_12","alias_value":"ASY2VF64B6KD","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"ASY2VF64B6KD6MTN","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"ASY2VF64","created_at":"2026-05-18T12:29:10.953037+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ASY2VF64B6KD6MTNWZYWFFHWIT","json":"https://pith.science/pith/ASY2VF64B6KD6MTNWZYWFFHWIT.json","graph_json":"https://pith.science/api/pith-number/ASY2VF64B6KD6MTNWZYWFFHWIT/graph.json","events_json":"https://pith.science/api/pith-number/ASY2VF64B6KD6MTNWZYWFFHWIT/events.json","paper":"https://pith.science/paper/ASY2VF64"},"agent_actions":{"view_html":"https://pith.science/pith/ASY2VF64B6KD6MTNWZYWFFHWIT","download_json":"https://pith.science/pith/ASY2VF64B6KD6MTNWZYWFFHWIT.json","view_paper":"https://pith.science/paper/ASY2VF64","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.06862&json=true","fetch_graph":"https://pith.science/api/pith-number/ASY2VF64B6KD6MTNWZYWFFHWIT/graph.json","fetch_events":"https://pith.science/api/pith-number/ASY2VF64B6KD6MTNWZYWFFHWIT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ASY2VF64B6KD6MTNWZYWFFHWIT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ASY2VF64B6KD6MTNWZYWFFHWIT/action/storage_attestation","attest_author":"https://pith.science/pith/ASY2VF64B6KD6MTNWZYWFFHWIT/action/author_attestation","sign_citation":"https://pith.science/pith/ASY2VF64B6KD6MTNWZYWFFHWIT/action/citation_signature","submit_replication":"https://pith.science/pith/ASY2VF64B6KD6MTNWZYWFFHWIT/action/replication_record"}},"created_at":"2026-05-18T01:19:15.968631+00:00","updated_at":"2026-05-18T01:19:15.968631+00:00"}