Source / pinned edition

Paleolithic tally registers: Lebombo bone and Ishango bone

Source of package paleo.tally_registers · Lebombo 29 / Ishango 168

work
urn:paleo:clir:tally-registers#TALLY_REGISTERS
number
Lebombo 29 / Ishango 168
kind
urn:paleo:clir:tally-registers#treatise

Catalog of executable observations

edition
urn:paleo:clir:tally-registers#TALLY_REGISTERS_EN
language
en
officiality
unofficial
materialisation
PINNED_UNOFFICIAL_COPY
life cycle
—

Publications

URITypedocumentHashRetrieved
https://en.wikipedia.org/wiki/Lebombo_bonetext/plain; charset=utf-8sha256:e46c6f36a0768fe25c830bb1ab26e45af9537624ab2c1007c51a22b4b45f185f2026-09-19T00:00:00Z

Fragments — 7

observation/ISH-D · article · referenced by: 5

en · unofficial · sha256:67d2008a32c9bf004d2181f77e1130ed3a7c91156d037a6a5686c0c2915f7bd5

ISH-D Column D base ten. The right column groups 11, 21, 19 and 9. These are 10+1, 20+1, 20-1 and 10-1. Their sum is 60.

Referencing norms: OffsetEleven, OffsetNine, OffsetNineteen, OffsetTwentyOne, RightCanonicalSum

observation/ISH-G · article · referenced by: 3

en · unofficial · sha256:8915840465b5a060aae745f57e960c148082136789bf2eca03cf39eff4071426

ISH-G Column G primes. The left column of the Ishango bone groups 11, 13, 17 and 19 notches. These are the primes between 10 and 20. Their sum is 60.

Referencing norms: PrimeColumnCanonical, PrimeColumnSum, PrimeOnOpenDecade

observation/ISH-M · article · referenced by: 4

en · unofficial · sha256:af57df64b713917d951d44cdad4b393cbd4bc57edff69728c86aeaee9de154c8

ISH-M Column M doubling and halving. The middle column groups 3 then 6, 4 then 8, 10 then 5, and 5 then 7. Adjacent pairs witness doubling (3 to 6, 4 to 8) or halving (10 to 5). The remaining pair 5 and 7 sums to 12. The column sums to 48.

Referencing norms: DoublingAdjacent, HalvingAdjacent, MiddleCanonicalSum, PairTwelve

observation/ISH-T · article · referenced by: 7

en · unofficial · sha256:ade43a8e709e9fedf454236d3e5ecc10c0d9ed37d0ff263a6391f6f931c34020

ISH-T Global balance and Marshack total. The left and right columns both sum to 60. The three columns together sum to 168. Marshack reads 168 marks as about 5.7 synodic months.

Referencing norms: ColumnBalance, ColumnsBalanced, MarshackHalfYear, MidMultipleOfTwelve, MidTwelve, Total168, TotalMarks168

observation/LEB-1 · article · referenced by: 1

en · unofficial · sha256:91420ade146398b768d640c5d76f5fa53f100e3d62157e7475d1e3936e09b532

LEB-1 Sequential ledger. The Lebombo bone is a baboon fibula from Border Cave (Lebombo Mountains). It bears 29 distinct notches cut successively. Each later notch presupposes the previous: the register is append-only and admits no gap in the index.

Referencing norms: NoGap

observation/LEB-2 · article · referenced by: 6

en · unofficial · sha256:b9b146effa1f160f7e46c70af6cef1dafbcda6ee164b72dc381682a28a01bbac

LEB-2 Lunar cycle of 29. The 29 notches correspond to a synodic month. Day 1 or 2 is new moon. Day 7 or 8 is first quarter. Day 14 or 15 is full moon. Day 21 or 22 is last quarter. Day 29 completes the cycle.

Referencing norms: CycleByLength, CycleCompleted, StationFirstQuarter, StationFullMoon, StationLastQuarter, StationNewMoon

observation/LEB-3 · article · referenced by: 1

en · unofficial · sha256:df6787a2a0844e08213cd0d8a0912dfbfb76a00d91872d1f47adbf4f72ecc074

LEB-3 Overflow beyond 29. A thirtieth notch on the same register without opening a new register exceeds the cycle. The overflow is a constraint, not a silent wrap-around.

Referencing norms: CycleOverflow

The hash beside the text is the sha256 of its exact bytes. It is the check that the text shown matches the one pinned in the package: a divergence fails the oracle’s static analysis.