Hopium Machines, ranked properly — all 6,969 of them
An independent rarity analysis of Hopium Machines on Robinhood Chain, computed from all 6,969 metadata records rather than the 612 that happen to be listed. Two of the seven traits carry no information, and scoring them moves individual machines by more than 4,500 places. Every listed machine re-ranked, with the working shown.
Snapshot 18 August 2026, 05:40 UTC. Prices move; the rarity does not.
The short version
#4,663 is the whole collection
One machine holds three one-of-one traits at once: The Void
background, an OFF screen, 0 promises. Nothing is close — it
scores 32.3 bits against 20.3 for second place. Its
token number is the chain ID of the chain it lives on.
Two of the seven traits are noise
Exit Liquidity is "You" on all 6,969. Promise Rate is
Hat written a second way. Scoring them — which the published rank
does — moves individual machines by up to
4,602 places.
38 raspberries, independently verified
The collection claims "exactly 38 raspberries". Counted from all 6,969
records: 38. The claim holds. They are the rarest hat at
0.545% of supply, and 13 are for sale.
No two are alike
All 6,969 machines carry a distinct combination of the five real
traits — 0 duplicates in the entire collection. Unusual for a
generated set this size, and it means every rank is a real position.
How the ranking was built
Method · and why it disagrees with the marketplace
This ranking scores the whole collection — all 6,969
machines — and only then asks which of them happen to be for sale. Ranking
the 612 listed machines against each other would be meaningless: rarity
is a property of the collection, not of the shop window.
Read the collection from its own contract, not from a marketplace.tokenURI() on 0x7da15c761409cb921a81f0e003704cff418b700b returns an IPFS path.
All 6,969 metadata records were pulled from that directory
(QmeqvTnMhd4DM5P41aQcE5oCm96UAabCZ436E5EL896ybL). Nothing here depends on an indexer having
finished its job.
Cross-check the counts against a second source. Every trait
count computed from IPFS matches the count OpenSea displays on its own
item pages, to the unit. Two independent sources agree, so the data is
not in dispute — the disagreement that follows is purely about
scoring.
Drop the traits that carry no information. A trait every token
shares tells you nothing, and a trait that merely restates another tells
you the same thing twice. Both are identified below, with the evidence.
Score by information content. Each trait earns a machine
-log2(share) bits; the score is the sum. A 1-of-6,969 trait
is worth 12.8 bits, a trait half the collection has is worth
1. This is the same measure OpenRarity uses — the only change is
which traits go into it.
Why not just add up the percentages
Summing raw trait percentages lets one very common trait swamp a
genuinely rare one, and the total has no natural scale. Information content
composes the way probabilities actually compose, and one bit always means
the same thing: twice as rare. The percentage-sum ranking was computed too;
the top of the collection is stable across both, which is the useful thing
to know about a method — where it agrees, and where it does not.
Finding 1 — Promise Rate is not a trait, it is Hat restated
The one that moves the ranks
Every machine lists a "Promise Rate". It looks like an
independent attribute with five values and a nicely skewed distribution. It
is not. Across all 6,969 machines, the Hat determines it completely:
Hat
Machines
Promise Rate — every single one
None
1,643
2 promises / 3.5 days (1,642), 0 promises / 3.5 days (1)
Beanie
1,526
3 promises / 3.5 days (1,526)
Party Hat
1,369
3 promises / 3.5 days (1,369)
Crown
1,120
3 promises / 3.5 days (1,120)
Propeller
947
3 promises / 3.5 days (947)
Halo
326
5 promises / 3.5 days (326)
Raspberry
38
7 promises / 3.5 days (38)
There is exactly one exception in the whole collection, and it is the
one-of-one: machine #4,663 has no hat and prints 0 promises instead of 2,
because it is switched off. Every other bare head prints 2, every Beanie,
Party Hat, Crown and Propeller prints 3, every Halo 5, every Raspberry 7.
Promise Rate adds no information that Hat did not already carry.
Scoring it anyway counts the hat twice, and that is not a rounding
error:
Flattered — the bare heads
"None" is the most common hat (1,643 machines,
23.6%), and "2 promises" is those same
1,642 machines counted a second
time. Of the 156 bare-headed machines currently listed, the
median published rank is #1,056 — and the median rank on
real traits is #4,176. Machine #292 is the
extreme: published #2,229, actually
#6,831.
Penalised — a common hat
A Crown or Propeller machine has its hat scored twice as
common, pushing it down the list. Machine #5,645 is the
worst case: it sits at #924 on real traits and is
published at #2,463 — 1,539
places worse than it deserves.
Verified against OpenSea's own published numbers
Rather than assert that the marketplace scores all seven traits, that
model was built and then checked against the rank OpenSea actually displays,
on seven machines picked from the top, the middle and the distorted part of
the collection:
Six exact, and one off by a single place — #3,693, which
shares an identical score with #1,088; the two are a tie and the order inside
a tie is arbitrary, so their two ranks can be handed out either way round.
19.5% of the collection sits in a tied pair like that (no tie group is
larger than two), which means any rank here can differ from a published one
by one place for that reason alone. It changes nothing that follows: the
distortions this report is about are thousands of places, not one. The middle
column is a model of the marketplace's scoring rather than a reading
of it — landing on the published number six times out of seven, and once
beside it by a tie, is what makes the right-hand column a fair comparison
rather than an opinion.
Finding 2 — "Exit Liquidity: You" is on every single machine
All 6,969 carry it. It is a good joke and it is zero information: a trait
everyone has cannot distinguish anyone. It contributes exactly 0 bits to
every machine, so it cannot change the order — but it does pad the trait
count from five real attributes to seven, which is how a machine with nothing
remarkable about it still reads as "7 traits" on a listing page.
Finding 3 — machine #4,663, and the chain it lives on
The best-hidden thing in the collection
Robinhood Chain's chain ID is 4663. The one machine in
this collection that came off the line switched off is #4,663. That is
not a coincidence anybody stumbled into — it is the signature on the work.
Background
The Void
1 of 6,969
0.014%
Body
Money Printer
1,157 of 6,969
16.602%
Screen
OFF
1 of 6,969
0.014%
Attachment
None
1,621 of 6,969
23.260%
Hat
None
1,643 of 6,969
23.576%
Promise Rate
0 promises / 3.5 days
1 of 6,969
0.014%
Exit Liquidity
You
6,969 of 6,969
100.000%
Three separate one-of-one traits land on the same token. It scores
32.31 bits; machine #6,715 in second place scores
20.29. That gap is a factor of about 4,162× — not a
close race, and the one machine in the collection whose rank no scoring
method argues about. It is currently
not for sale.
612 active listings · snapshot 18 August 2026, 05:40 UTC
This is the table the report was written for. Ranks are
positions in the whole 6,969-machine collection, not positions among
the listings — the machine at the top of this table is the
5th rarest of 6,969, and it happens to be for sale. Only
27 of the 100 rarest machines in the collection are listed
at all, which is the single most useful number here: the top of this
collection is held, not traded.
Price is the best active listing in ETH on Robinhood Chain at
the snapshot, converted at $1,894.99/ETH. Where the published
rank is far better than the true rank the cell is flagged. Listings expire and
prices move — open the link before acting on any row.
What the table says if you read it for value
Arithmetic, not advice
Genuinely rare, priced as if it isn't
Machines inside the top 800 of 6,969 — the 11%
rarest — whose ask sits at the cheap end of the book:
Neither list is a recommendation. They are the two ends of
one disagreement between two scoring methods, and the disagreement is fully
specified above so you can decide which one you believe. The rarity is
arithmetic; what anyone will pay for it is not.
The full trait breakdown
All 6,969 machines · counted from source
Every value of every trait across the entire collection.
Values held by 50 machines or fewer are highlighted. These counts match
OpenSea's displayed counts exactly — the data is not in dispute, only what to
do with it.
Background 9 values
Value
Count
Share
Liquidation Red
888
12.742%
Wen Yellow
881
12.642%
Moon Dust
881
12.642%
Hopium Green
875
12.556%
Bag Purple
870
12.484%
Cope Blue
867
12.441%
Midnight Rug
854
12.254%
Exit Pink
852
12.226%
The Void
1
0.014%
Body 6 values
Value
Count
Share
Slot Machine
1,190
17.076%
Toaster
1,174
16.846%
Vending Machine
1,160
16.645%
Money Printer
1,157
16.602%
ATM
1,146
16.444%
Washing Machine
1,142
16.387%
Screen 9 values
Value
Count
Share
Static
1,172
16.817%
Green Candles
1,117
16.028%
Up Only
1,031
14.794%
SOON
1,029
14.765%
Rug
864
12.398%
Wojak
819
11.752%
404
622
8.925%
GM
314
4.506%
OFF
1
0.014%
Attachment 5 values
Value
Count
Share
None
1,621
23.260%
Antenna
1,554
22.299%
Exhaust
1,428
20.491%
Hopium Pipe
1,307
18.754%
Copium Tank
1,059
15.196%
Hat 7 values
The trait that drives the top of the collection.
Value
Count
Share
None
1,643
23.576%
Beanie
1,526
21.897%
Party Hat
1,369
19.644%
Crown
1,120
16.071%
Propeller
947
13.589%
Halo
326
4.678%
Raspberry
38
0.545%
Promise Rate 5 values
Excluded from the ranking: fully determined by Hat (Finding 1). Shown for completeness.
Value
Count
Share
3 promises / 3.5 days
4,962
71.201%
2 promises / 3.5 days
1,642
23.561%
5 promises / 3.5 days
326
4.678%
7 promises / 3.5 days
38
0.545%
0 promises / 3.5 days
1
0.014%
Exit Liquidity 1 values
Excluded from the ranking: every machine has it, so it distinguishes nothing (Finding 2).
Value
Count
Share
You
6,969
100.000%
Market snapshot
Context · 18 August 2026, 05:40 UTC
6,969machines
2,211owners
612listed · 8.8%
0.00070floor ETH · $1.32
0.00250median ask ETH
10,337sales all time
3.22ETH volume
13/38raspberries listed
The collection was created on 16 August 2026 and has already turned
over 10,337 sales against 6,969 machines — every machine has
changed hands roughly 1.5 times in its first few days.
Total volume is 3.22 ETH. That combination only exists
because gas on this chain is close to free: the same 10,337 trades
on Ethereum mainnet would have cost far more in fees than the collection has
ever been worth. That is the genuinely interesting fact about Hopium Machines
and it has nothing to do with the art —
it is what a chain with no meaningful gas cost does to
behaviour.
Of the 100 rarest machines in the collection, 27 are for sale.
Of the 38 raspberries, 13 are; of the 326 halos,
63. Machine #4,663 is
not listed.
Who actually holds them
Ownership was read directly from the contract — ownerOf() for
every token, 6,969 of 6,969 resolved — rather than taken from an
indexer. There are 2,213 distinct holding addresses. The ten
largest hold 1,276 machines between them, 18.3% of the
collection; the largest single address holds 197.
1,866 addresses (84% of all holders) hold
exactly one machine.
That count is 2,213 against the 2,211 OpenSea reports —
a difference of 2. Two independent methods
landing 2 apart on a 6,969-token collection is
agreement, not a conflict; the small gap is the kind of thing a marketplace
index produces by excluding an escrow or burn address. The number used
everywhere else on this page is the one read off the chain.
A free mint capped at one per wallet cannot produce a
18% top-ten concentration on its own. It got there by buying, which
is what 10,337 sales in 2 days on a near-zero-gas
chain looks like from the other side of the book.
Check it yourself
Every input, and the code that turned it into this page
If you find an error in any of this it is worth telling me:
hankelsner.com. A number
that moves gets corrected on this page with the correction stated, not quietly
edited.
Questions
What is the rarest Hopium Machine?
Machine #4,663. It is the only one with The Void background, the only one whose screen is OFF and the only one that prints 0 promises — three one-of-one traits on a single token. It scores 32.3 bits of rarity against 20.3 for the next machine, a gap of roughly 4,162 times. Its number is also the chain ID of Robinhood Chain, which is 4663.
How many Raspberry hats are in Hopium Machines?
Exactly 38. The collection description claims 38, and an independent count of all 6,969 metadata records confirms it. Raspberry is the rarest hat at 0.545% of supply; Halo is next at 326 (4.68%).
Why does this report disagree with OpenSea's rarity rank?
OpenSea scores all seven traits. Two of them carry no information. Exit Liquidity is 'You' on every single machine, and Promise Rate is a direct restatement of Hat — every Halo prints 5 promises, every Raspberry prints 7, every bare head prints 2. Scoring Promise Rate as though it were independent counts the Hat trait twice, which flatters machines with no hat and penalises machines with a common one.
How much does the difference actually matter?
For the 156 listed machines with no hat, the median published rank is #1,056 while the median rank on independent traits is #4,176 — a gap of about 3,120 places. The largest single distortion in the collection is 4,602 places.
Are any two Hopium Machines identical?
No. All 6,969 machines carry a distinct combination of the five independent traits — 0 duplicates anywhere in the collection, which is unusual at this supply.
Where does the data come from?
The contract's own tokenURI points at IPFS directory QmeqvTnMhd4DM5P41aQcE5oCm96UAabCZ436E5EL896ybL. All 6,969 records were read from there rather than from a marketplace API, so the trait counts do not depend on anyone's index being complete. They match OpenSea's displayed trait counts exactly.
What is Hopium Machines?
A 6,969-piece ERC-721 collection on Robinhood Chain (chain 4663), created 16 August 2026, free to mint at one per wallet, minted through OpenSea. Contract 0x7da15c761409cb921a81f0e003704cff418b700b, symbol HOPIUM. The art is machines that print promises; the collection describes itself as “trustless, gasless, worthless”.
More on this chain
This report is one page of a longer look at Robinhood Chain.
The guide covers what the chain is, what deploying and
minting actually cost, and how ETH gets on and off it;
the front page has the short version, and every figure there
came off a live node or a real receipt.