Pfaffian

square root of the determinant of a skew-symmetric square matrix
Intangible mathematical_concept Q1189744
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Pfaffian

Summary

Pfaffian is a mathematical concept[1]. Pfaffian draws 225 Wikipedia views per month (mathematical_concept category, ranking #128 of 1,007).[2]

Key Facts

  • Pfaffian is credited with the discovery of Arthur Cayley[3].
  • Pfaffian's instance of is recorded as mathematical concept[4].
  • Johann Friedrich Pfaff is named after Pfaffian[5].
  • Pfaffian's subclass of is recorded as determinant[6].
  • Pfaffian's time of discovery or invention is recorded as +1852-00-00T00:00:00Z[7].
  • Pfaffian's Freebase ID is recorded as /m/02m1y5[8].
  • Pfaffian's different from is recorded as Pfaffian function[9].
  • Pfaffian's defining formula is recorded as \operatorname{pf}(A)=\frac1{2^nn!} \sum_{\sigma \in S_{2n}}\operatorname{sgn}(\sigma) \prod {i=1}^n A{\sigma (2i-1),\sigma (2i)}[10].
  • Pfaffian's MathWorld ID is recorded as Pfaffian[11].
  • Pfaffian's nLab ID is recorded as Pfaffian[12].
  • Pfaffian's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Pfaffian's Microsoft Academic ID is recorded as 2775956649[14].
  • Pfaffian's Encyclopedia of Mathematics article ID is recorded as Pfaffian[15].
  • Pfaffian's PlanetMath ID is recorded as Pfaffian[16].
  • Pfaffian's OpenAlex ID is recorded as C2775956649[17].
  • Pfaffian's Great Russian Encyclopedia portal ID is recorded as pfaffian-85418b[18].

Body

Works and Contributions

Pfaffian is credited with the discovery of Arthur Cayley[3].

Why It Matters

Pfaffian draws 225 Wikipedia views per month (mathematical_concept category, ranking #128 of 1,007).[2] Pfaffian has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[19]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [3] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . Freebase Data Dumps. wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  16. [18] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] . Wikidata sitelinks. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Pfaffian. Retrieved May 3, 2026, from https://4ort.xyz/entity/pfaffian
MLA “Pfaffian.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/pfaffian.
BibTeX @misc{4ortxyz_pfaffian_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Pfaffian}}, year = {2026}, url = {https://4ort.xyz/entity/pfaffian}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Pfaffian — https://4ort.xyz/entity/pfaffian (retrieved 2026-05-03)

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