Abstract
Paper 100 drew the method of papers $63$ to $99$ as a map. This paper measures the $99$ papers from $101$ to $199$ as data — counting the text rather than drawing it by hand. NO NEW MATHEMATICS AND NO NEW CLAIM IS MADE.
First, the numbered check begins at paper 129 and has never stopped since. Of the $28$ papers from $101$ to $128$, none carries one; of the $71$ from $129$ to $199$, every one does (Section 2).
Second, the fence settled late. Papers naming a fence run $2/28$ over $101$–$128$, $4/21$ over $129$–$149$, $5/25$ over $150$–$174$ — and $18/25$ over $175$–$199$ (Section 3).
Third, this is the core. The belief that the separator converged from a noun into a question is refuted by the count. The share written as a question is $64\%$ over $101$–$149$ and $48\%$ over $150$–$199$: it went down — it is $0\%$ in the $160$s, and unanimous only in the last ten papers (Section 4).
Fourth, the most cited paper is the previous census. Paper 100 is cited by $40$ of the $99$, ahead of paper 95 at $32$ and paper 16 at $31$ (Section 6).
Fifth, the corpus grew shorter and then denser. The mean body fell from $9847$ to $7650$ characters and recovered to $8663$, while the checks rose steadily through $0$, $8.3$, $10.7$, $12.5$ (Section 7).
Scope (what is not claimed)
NO NEW MATHEMATICS AND NO NEW PHYSICS IS CONTAINED HERE — this is a measurement of the corpus, and its object is the text of papers $101$ to $199$. The quality of the papers is not measured — what is counted is formal features, not correctness and not worth. The counting is a word search — the words for check, fence and separator are picked out of the text, so a passage saying the same thing in other words is not counted. Bibliographies were excluded from the count — so that a line quoting another paper's title is not counted as that paper's own vocabulary. No causal claim is made — what is shown is when things happened, not why. Relation to Paper 100: 100 drew the method by hand — this paper counted the same corpus. And counting turned up one thing the hand could not see — the refutation in Section 4. What is added is pinning the start of the numbered check to a single paper, measuring band by band that the fence settled late, refuting a belief about the separator with our own count, and counting the citation weight to show that the previous census carries the most.
1. Opening: at the Two Hundredth
Paper 100 was the hundredth of the corpus and left the method of papers $63$ to $99$ as a single map. That map was drawn by hand: which giant crossed which thread, set out by the author after rereading.
This is the two hundredth. Doing the same thing again would serve no purpose, so instead of drawing, it measures. The object is the Japanese text of the $99$ papers from $101$ to $199$, and what is counted is the occurrence of words, their distribution, and the citation relation.
To be plain: this was not written to round out a number. Had the measurement turned up nothing, the paper would not have been written. In fact three things turned up — a sharp switch, a late settling, and the refutation of a belief.
2. The Numbered Check Begins at Paper 129 and Never Stops
Count the passages in which a check is given a number, in the form “Check 2.1”.
Measurement 2.1:
| Range | Papers with a numbered check | Share |
|---|---|---|
| $1$–$100$ | $8\ /\ 99$ | $8\%$ |
| $101$–$128$ | $\mathbf{0\ /\ 28}$ | $\mathbf{0\%}$ |
| $129$–$199$ | $\mathbf{71\ /\ 71}$ | $\mathbf{100\%}$ |
Observation 2.2 The switch is not gradual: it happens at one paper. Nothing up to $128$, and then without a single exception from $129$ to $199$. The first of them is Paper 129, “$\hbar$ Is Not on the Mathematical Side of the Inequality”.
Observation 2.3 It must not be forgotten that this is a word search. There are numbers before $128$ as well — what is absent is the habit of numbering a check and calling it one. What changed is not whether there was computation but whether the computation was made a structural element of the text. The earliest instance anywhere is Paper 23 — the $8$ papers in $1$–$100$ are scattered, and did not continue.
3. The Fence Settled Late
Measurement 3.1: count papers whose body contains the word for fence, in four bands.
| Band | Papers naming a fence | Share |
|---|---|---|
| $101$–$128$ | $2\ /\ 28$ | $7\%$ |
| $129$–$149$ | $4\ /\ 21$ | $19\%$ |
| $150$–$174$ | $5\ /\ 25$ | $20\%$ |
| $175$–$199$ | $\mathbf{18\ /\ 25}$ | $\mathbf{72\%}$ |
Observation 3.2 The shape differs from the check. The check switched at one paper; the fence rose slowly across three bands and settled only in the last. Within one corpus, one tool arrived all at once and another spread gradually.
Observation 3.3 The word first appears in Paper 23 — more than $150$ papers before it settled. A word being coined and a word becoming a tool are separate events.
4. The Core: the Belief That the Separator Converged on a Question Is Refuted
The corpus uses the word separator for what must be moved for a number to move. The recent papers, from $194$ on, write it as a question: what is conserved, what is perturbed, what must be moved, what may be discarded. That suggests a belief: the separator has converged from a noun into a question. It was counted.
Measurement 4.1: for the $36$ papers whose body names a separator, classify the wording as a question (ending in the interrogative particle, or opening with an interrogative word) or a noun (“the separator is X”).
| Band | As a question | Papers naming a separator | Share |
|---|---|---|---|
| $130$–$139$ | $4$ | $5$ | $80\%$ |
| $140$–$149$ | $3$ | $6$ | $50\%$ |
| $150$–$159$ | $2$ | $9$ | $22\%$ |
| $160$–$169$ | $0$ | $2$ | $\mathbf{0\%}$ |
| $170$–$179$ | $2$ | $4$ | $50\%$ |
| $180$–$189$ | $4$ | $6$ | $67\%$ |
| $190$–$199$ | $4$ | $4$ | $\mathbf{100\%}$ |
Measurement 4.2: gather them into two halves.
| Range | Share written as a question |
|---|---|
| $101$–$149$ | $7\ /\ 11=64\%$ |
| $150$–$199$ | $12\ /\ 25=\mathbf{48\%}$ |
Observation 4.3 The belief is wrong. The share did not rise: it fell from $64\%$ to $48\%$. It touches $0\%$ in the $160$s, and becomes unanimous only in the last ten papers. The corpus did not converge slowly on the question form: it went back and forth and settled there only very recently.
Observation 4.4 (on correcting the measurement) The first count treated only one opening word as interrogative, and so filed two clear questions as nouns. Correcting it reversed the direction — the first tally had looked like a rise. That loosening one classification rule flips the sign of the conclusion also means this quantity is weak. That weakness is not hidden here.
Observation 4.5 So it cannot be said that the corpus has arrived at the question form. What can be said is only that the last ten papers are written that way, and ten is few. Whether it continues is not knowable at the two hundredth.
5. Twenty-Three Named Fences, All Different
Measurement 5.1: collecting the passages that give a fence a name in the form “the fence is X” yields $23$ instances across $101$–$199$, and not one name repeats.
| Paper | Fence | Paper | Fence |
|---|---|---|---|
| $133$ | unbiasedness | $184$ | the number of options |
| $171$ | linearity, not normality | $185$ | the target space |
| $173$ | integrality, not positivity | $186$ | the tail of the error |
| $177$ | compactness | $189$ | consistency |
| $178$ | that no product is defined | $190$ | one large jump |
| $179$ | boundedness on an interval | $191$ | the ratio of two diffusion rates |
| $181$ | cocommutativity | $192$ | the second moment |
| $182$ | what the concentration is around | $195$ | hyperbolicity |
| $183$ | the evenness of the allocation | $198$ | two of them (conjugate and cut) |
Observation 5.2 That $23$ fences carry $23$ different names means the fence has not become a set phrase. The same word is used each time and points at something different each time — the corpus applying its own “one word, distinct roots” to itself.
6. Citation Weight: the Heaviest Paper Is the Previous Census
Measurement 6.1: count which of the author's own papers each of $101$–$199$ cites.
| Paper cited | By how many of the $99$ | Title |
|---|---|---|
| $100$ | $\mathbf{40}$ | The Crossing of Royal Roads |
| $95$ | $32$ | Convention and Fact |
| $16$ | $31$ | The Equals Sign Has Distinct Roots |
| $17$ | $30$ | The $8\pi$ Is a Product of the Units |
| $117$ | $23$ | Scale Invariance Fixes an Exponent in Four Ways |
| $113$ | $18$ | Modules Are Not Walls but Limits |
| $94$ | $14$ | “Dimension” Is Not One Thing |
| $1$ | $14$ | The Uniqueness Theorem for $n=2$ |
Measurement 6.2: the number of papers citing none of the author's own work is $\mathbf{0}$, and the mean is $8.64$ citations per paper. In total $156$ distinct papers are cited, $59$ of them from $1$–$100$ and $97$ from $101$–$199$.
Observation 6.3 The heaviest single paper is the previous census itself. What was written as a map was cited by $40$ of the following $99$ — a census looks like a summing-up when it is written, and turns out afterwards to be a foundation. This does not mean Paper 100 is the better paper — it is equally explained by the formal fact that a census is convenient to point at when stating one's position. This paper does not decide between the two.
7. Shorter, and Then Denser
Measurement 7.1: measure the length of the body and the number of checks in four bands.
| Band | Mean body (characters) | Mean checks | Checks per thousand characters |
|---|---|---|---|
| $101$–$128$ | $9847$ | $0.0$ | $0.00$ |
| $129$–$149$ | $7957$ | $8.3$ | $1.04$ |
| $150$–$174$ | $\mathbf{7650}$ | $10.7$ | $1.40$ |
| $175$–$199$ | $8663$ | $\mathbf{12.5}$ | $\mathbf{1.44}$ |
Observation 7.2 The length fell by $22\%$ from $9847$ to $7650$ characters and then recovered to $8663$, while the checks per thousand characters never fell, rising through $0.00$, $1.04$, $1.40$, $1.44$. What grew was not the volume but the density.
8. The Brake Is Everywhere
Measurement 8.1:
| Quantity | Value over $101$–$199$ |
|---|---|
| Papers carrying a scope note | $\mathbf{99\ /\ 99}$ ($100\%$) |
| Papers stating that no new theorem or law is claimed | $85\ /\ 99$ ($86\%$) |
| Total warning marks | $126$ ($1.3$ per paper) |
| Total emphasis marks | $292$ ($2.9$ per paper) |
Observation 8.2 The scope note is present without exception. The warning marks, meanwhile, number less than half the emphasis marks — the corpus declares what it does not show as a frame, while inside the text it points more often at what it found. Whether that ratio is right is not judged here.
9. Scope and Close
What this paper measured:
- The numbered check begins at Paper 129 and continues through all $71$ (Measurement 2.1): $0/28$ up to $128$.
- The fence settled late (Measurement 3.1): $7\%\to19\%\to20\%\to72\%$.
- The belief about the separator is refuted (Measurements 4.1, 4.2): $64\%\to48\%$, with $0\%$ in the $160$s.
- The refutation appeared only when the measurement was corrected (Observation 4.4): the first tally had looked like a rise.
- $23$ named fences, none repeated (Measurement 5.1).
- The most cited is Paper 100 (Measurement 6.1): $40$ of $99$.
- Shorter, then denser (Measurement 7.1): checks per thousand characters $0.00\to1.44$.
- Scope notes $99/99$ (Measurement 8.1).
References
- Yamagishi, Y. (2026). The Uniqueness Theorem of $n = 2$ for Spherically Symmetric Density Distributions [Paper 1]. Zenodo. 10.5281/zenodo.21403186
- Yamagishi, Y. (2026). Making the Curvature Constant Does Not Fix the Density [Paper 23]. Zenodo. 10.5281/zenodo.22090231
- Yamagishi, Y. (2026). Convention and Fact [Paper 95]. Zenodo. 10.5281/zenodo.21758621
- Yamagishi, Y. (2026). The Crossing of Royal Roads [Paper 100]. Zenodo. 10.5281/zenodo.21758864
- Yamagishi, Y. (2026). Modules Are Not Walls but Limits [Paper 113]. Zenodo. 10.5281/zenodo.21962996
- Yamagishi, Y. (2026). Scale Invariance Fixes an Exponent in Four Different Ways [Paper 117]. Zenodo. 10.5281/zenodo.22005515
- Yamagishi, Y. (2026). $\hbar$ Is Not on the Mathematical Side of the Inequality [Paper 129]. Zenodo. 10.5281/zenodo.22079681
- Yamagishi, Y. (2026). The Four Means Are One Family, and There Is Only One Equality Fence [Paper 194]. Zenodo. 10.5281/zenodo.22106809
- Yamagishi, Y. (2026). “Stable” Is Six Separate Words, and What Separates Them Is What You Perturb [Paper 195]. Zenodo. 10.5281/zenodo.22107170
- Yamagishi, Y. (2026). “Pressure” Is Four Separate Quantities, and Sharing a Unit Guarantees Nothing [Paper 196]. Zenodo. 10.5281/zenodo.22107518
- Yamagishi, Y. (2026). “Converges” Is Four Separate Claims, and What Separates Them Is What You May Discard [Paper 197]. Zenodo. 10.5281/zenodo.22107590
- Yamagishi, Y. (2026). “Straight” Does Not Mean “Shortest”, and There Are Two Fences [Paper 198]. Zenodo. 10.5281/zenodo.22107954
- Yamagishi, Y. (2026). What Decides Whether You Come Home Is the Exponent in the Denominator [Paper 199]. Zenodo. 10.5281/zenodo.22108396
Reference
Yamagishi, Y. (2026). The Two Hundredth Census: Measuring the Corpus as Its Own Data [Paper 200]. YOI: https://www.yamagishiyuuki.com/yoi/200
DOI: 10.5281/zenodo.22108829
ORCID: 0009-0006-8587-3450
PDF (English) · PDF (Japanese) · Date proof of the English PDF (OpenTimestamps .ots) · SHA256SUMS
The record page for this paper (in Japanese, with the PDFs in each language and the date proof): YOI 200. This paper is a preprint and has not been peer reviewed.