A Compendium of Computational Methods for Calculus

Allocation at minting

The anchored record

Canonical JSON (keys sorted, no spaces, UTF-8). Its SHA-256 is the hash on chain. The abstract here is gemini generated, not the author's own text.

{"abstract":"This paper aims to highlight new computational techniques for calculus and their impact on problem-solving methodologies. It collates the history of these approaches and their use in tackling complex problems from various domains, emphasizing the shifts and ease they bring. The article discusses the evolution of computational methods, noting that traditional algebraic and symbolic methods faced difficulties with non-continuous, complex, or disorganized systems, necessitating numerical methods. Early numerical methods included finite difference methods for differentiation, the Trapezoidal Rule and Simpson's Rule for integration, and Euler's Method for ordinary differential equations. The advent of computers led to more sophisticated numerical methods and software applications, enabling the modeling of complex systems. Modern computational methods, including adaptive mesh refinement, spectral techniques, and Monte Carlo simulations, have further enhanced effectiveness and accuracy, making computational calculus a vital tool in scientific research and industrial use across fields like meteorology, computational fluid dynamics, and financial modeling.","abstract_source":"gemini_generated","authors":["Jonathan Edwin Remegia"],"date":"2025-03-21","doi":"10.5281/zenodo.15061720","id":4767,"issue":1,"journal":{"issn":"xxxx-xxxx","name":"Akademika: Educational Learning Anthology"},"pdf_sha256":"54f776d464a4639e3f170b21f41993f4538eaa2b43c110e7c9df569769a9c4ad","schema":"scimatic-article/1","title":"A Compendium of Computational Methods for Calculus","volume":1}

Check it yourself

1. The record, from the token's own metadata:

printf '%s' "$(curl -s https://scimatic.org/nft/articles/4767.json | jq -r .canonical_record)" | sha256sum

2. The hash stored on chain (contentHash(4767)):

curl -s https://rpc.scimatic.net -H 'content-type: application/json' \
  -d '{"jsonrpc":"2.0","id":1,"method":"eth_call","params":[{"to":"0x0E596B4bb924937aA35D9b342A90347ed6F05eF8","data":"0xf3e0c290000000000000000000000000000000000000000000000000000000000000129f"},"latest"]}'

The two must be equal (the second with a 0x in front).