Catalog: KH0113 (UR1100, AS100)

Section Information
Statistics:
Aliases:   UR1100, AS100
Contributors:  Marcia & Robert Ascher
Museum:  Museum für Völkerkunde (Ethnologische Museum), Berlin, Germany
Museum Number:  VA47070
Provenance:  Ica
Region:  Unknown 		# of Groups & Cords:   9 Groups, 73 Cords - (66p, 7s)
# of Unique Cord Colors:  6
Benford Match:  0.8131
# Ascher Sums (pps, ips, cps, sps,...):  26 (9, 2, 10, 3,...)
Similar Khipu:  Previous (KH0162)  Next (KH0128)
   KH0113 (UR1100, AS100)
Pendant Pendant Sum
Indexed Pendant Sum
Colored Pendant Sum
Subsidiary Pendant Sum
Group Group Sum
Ascher Decreasing Group
DataFile:
KH0113
Notes:
Ascher Databook Notes:
  1. Construction note: The twisted end of cord 1 is linked through the twisted end of the main cord so that it dangles from the end of the main cord.
  2. This is one of several khipus acquired by the Museum in 1907 with provenance Ica. The khipus with this designation are KH00110, KH00113, KH00115, KH00119, KH0129-KH0131, KH0134, KH0137, KH0141, KH0144, KH00145, KH00148, KH0157-KH0159, KH0162, KH0166, KH0168, KH0177-KH0179, KH0181, KH0183, KH0188, KH0196-KH0197.
  3. By spacing, the khipu is separated into 3 parts. A single cord dangles from the end of the main cord, then part 1 is 1 group of 6 pendants, part 2 is 6 groups of 8-10 pendants each, and part 3 is 1 group of 3 pendants. Each pendant in part 1 has one subsidiary which is DB.
    1. The values of the 6 pendants in part 1 are the sums of the values of the 6 corresponding groups in part 2. (Four of the sums are exact, but on 2 of them, the values on the first and fifth pendants, are less than the group sums by 5 and 4 respectively.)
    2. The value of the first single cord is the sum of the values of the pendants in part 1. Similarly, the value on its subsidiary is the sum of the values on the subsidiary cords of part 1.
  5. In part 2, some of the sums of values in corresponding positions in the 6 groups are equal to each other. Some of the sums are equal to the sums of corresponding groups. Specifically:
    \[ \sum\limits_{i=1}^6 P_{i2} = \sum\limits_{j=1}^{10} P_{2j} \]
    \[ \sum\limits_{i=1}^6 P_{i4} = \sum\limits_{j=1}^9 P_{4j} \]
    and

    \[ \sum\limits_{i=1}^6 P_{i3} = \sum\limits_{i=1}^6 P_{i7} \]
    \[ \sum\limits_{i=1}^6 P_{i5} = \sum\limits_{i=1}^6 P_{i6} \]
    \[ \sum\limits_{i=1}^6 P_{i8} = \sum\limits_{i=1}^6 P_{i10} \]
Bibliography:

Bibliography for KH0113 (UR1100, AS100):

Year Author Title Pages
2008 Artzi, Bat-Ami. El Secreto Del Nudo Del Khipu. Iberoamerica Global 2:34– 46. Text: 41
2009 Artzi, Bat-Ami. The secret of the knot: khipu No. 936 from the Maiman collection. Masters thesis, Hebrew University. Text: 59-60; 119-120; 121
2010 Artzi, Bat-Ami. The secret of the knot: khipu No. 936 from the Maiman collection. Estudios Latinoamericanos. Bat-Ami. The secret of the knot: khipu No. 936 from the Maiman collection. Estudios Latinoamericanos 30:187-214. Text: 202-203
1978 Ascher, Marcia, and Robert Ascher. Code of the Quipu: Databook. University Microfilms, Ann Arbor. Text: 694-698; Figures: 697
1981 Ascher, Marcia, and Robert Ascher. Code of the Quipu: A Study in Media, Mathematics, and Culture. University of Michigan Press, Ann Arbor. Text: 15; 89
1986 Ascher, Marcia. Mathematical Ideas of the Incas.’ In Native American Mathematics, edited by Michael P. Closs, pp. 261–289. University of Texas Press, Austin. Text: 280 (ex.3)
1998 Assadourian, Carlos Sempat. La creación del quipu con las cuerdas de los precios. In Narrative Threads: Accounting and Recounting in Andean Khipu, edited by Jeffrey Quilter and Gary Urton, pp. 119-150. University of Texas Press, Austin. Text: 127
2014 Cherkinsky, Alexander, and Gary Urton. Radiocarbon Chronology of Andean Khipus. Open Journal of Archaeometry 2(5260):32-36. Text: 34
2020 Medelius Olcese de Riveros, Y.M., 2021. Dando cuentas: los quipucamayos en las comunidades indígenas y ante la administración colonial. Perú, siglo XVI. Doctoral Thesis. Universidad Pablo de Olavide de Sevill. Olcese de Riveros, Y.M., 2021. Dando cuentas: los quipucamayos en las comunidades indígenas y ante la administración colonial. Perú, siglo XVI. Doctoral Thesis. Universidad Pablo de Olavide de Sevilla Text: 122
2022 Medrano, M.A. The promise of Andean khipu transcriptions: a multi-scale investigation (Doctoral dissertation, University of St Andrews). Text: 77, 88
2004 Salomon, Frank. The Cord Keepers: Khipus and Cultural Life in a Peruvian Village. Duke University Press, Durham, NC. Text: 19
2025 Thompson, Karen M. Connecting Objects and Literature: A Case Study with Khipus, the “Khipu-Biblio Cross-Reference.” Advances in Archaeological Practice, 13(2), 273–290. doi:10.1017/aap.2025.3 Text: 6
1994 Urton, Gary. New Twist in an Old Yarn: Variation in Knot Directionality in the Inka Khipus. Baessler-Archiv Neue Folge 42:271-305. Text: 298
1997 Urton, Gary, and Primitivo Nina Llanos. The Social Life of Numbers: A Quechua Ontology of Numbers and Philosophy of Arithmetic. University of Texas, Austin. Text: 189
2006 Urton, Gary. Censos registrados en cordeles con ‘amarres’: Padrones poblacionales pre-hispánicos y coloniales tempranos en los khipu Inka. Revista Andina 42:153–196. Text: 164; 166; 170; 171
2011 Urton, Gary, and Carrie J. Brezine. Khipu Typologies. In Their Way of Writing: Scripts, Signs, and Pictographies in Pre-Columbian America, edited by Elizabeth Hill Boone and Gary Urton, pp. 319–352. Dumbarton Oaks Research Library and Collection, Washington. Text: 345
2017 Urton, Gary. Inka History in Knots: Reading Khipus as Primary Sources. University of Texas Press, Austin. Text: 261
2007 Witkowski, Olaf. Essai de décryptage des cordelettes quipus utilisées par les Incas comme moyen de communication: Un exemple d’ethno-cryptographie (Doctoral dissertation, Master’s thesis, Université Catholique de Louvain). Text: 97
1989 Zuidema, R. Tom. A Quipu Calendar from Ica, Peru, with a Comparisonto the Ceque Calendar from Cuzco. In World Archaeoastronomy, edited by A. F. Aveni, pp. 341-351. Cambridge University Press, Cambridge. Text: 341; 342; 345-348; Figures: fig.27.4 (p.346)
2011 Zuidema, R. Tom. Chuquibamba Textiles and Their Interacting Systems of Notation. In Their Way of Writing: Scripts, Signs, and Pictographies in Pre-Columbian America, edited by Elizabeth Hill Boone and Gary Urton, pp. 251-276. Dumbarton Oaks Research Library and Collection, Washington. Text: 256
2014 Zuidema, R. Tom. Hacer calendarios’ en quipus y tejidos: Los números y su rol en el registro simultáneo del orden sociopolítico y calendárico andino en el Cuzco, Chuquibamba y Collaguas. In Sistemas de notación inca: Quipu y Tocapu, edited by Carman Arellano Hoffmann, pp. 395-445. Ministerio de Cultura, Lima. Text: 397