Summa de arithmetica, geometria, proportioni et proportionalita

Pacioli, L. (1494). Summa de arithmetica, geometria, proportioni et proportionalita. Particularis de computis et scripturis.

Type

Book

Intellectual base

Review or monograph

Year

1494

Link

https://archive.org/details/summadearithmeti00paci

Cited from

computer_science, engineering_design, information_theory, physics, statistics_experimental_design, systems_cybernetics

Cited by

10 citations across 10 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Compression

  • This sourceEncyclopedic mathematics work whose 27-page section first printed double-entry bookkeeping. Tier C (bibliography only). Pre-internet primary source; link is an archive.org scan. NOTE: publisher more commonly rendered 'Paganino de Paganini' (the prime's 'Paganinus de Paganinis' is the Latinized form).

• Data Integrity
  • Pacioli's system has provided data integrity for mercantile finance for 500+ years and remains the foundation of every modern accounting system

    This sourcePaganino Paganini, Venice. First printed, systematic description of double-entry bookkeeping: every transaction recorded as equal debit and credit, with the debits=credits invariant detecting single-sided errors via the trial balance; corrections made by offsetting entries (append-only, attributable audit trail).

• Discrete vs. Continuous (Quantization)

  • This sourceContains the first printed account of double-entry bookkeeping over discrete currency-denominated amounts. Bibliography-only entry.

• Entropy (Thermodynamic Sense)

  • This sourceFirst printed description of double-entry bookkeeping. Bibliography-only; not cited in the body and unrelated to entropy — likely a residual template entry. [Pre-internet primary source; no stable scholarly DOI/landing page — left link-less.]

• Immutability
  • The audit trail is therefore an append-only sequence in which every adjustment is itself a visible, dated, attributable record.

    This sourcePaganino Paganini. First printed description of double-entry bookkeeping (the Particularis de computis et scripturis section): a posted journal entry is not erased or overwritten but corrected by recording a new offsetting/reversing entry, yielding an append-only, attributable audit trail.

• Logging
  • In finance it is double-entry bookkeeping and the general ledger — the canonical pre-digital log, with append-only discipline once enforced by numbered, bound pages and now by cryptographic chains.

    This sourceThe first printed exposition of double-entry bookkeeping, with the bound, ordered, append-only ledger (the quaderno) as the canonical pre-digital event log.

• Measurement Uncertainty and Observational Noise
  • Listed in the references but not attached to a specific claim.
• Multiplexing
  • Listed in the references but not attached to a specific claim.
• Redundancy
  • Listed in the references but not attached to a specific claim.
• Signal Decay and Fadeout
  • Listed in the references but not attached to a specific claim.

Verification

This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.

Links previously used in the corpus

Before the registry existed this work was also linked 2 other ways.

• https://en.wikipedia.org/wiki/Summa_de_arithmetica ×1
• https://old.maa.org/press/periodicals/convergence/mathematical-treasure-luca-pacioli-s-summa ×1

Registry ID ref:a8098ba54eee · see in the full table