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    <title>Chameth.com - posts like the-longest-way-to-represent-a-date but not docker-automatic-nginx-proxy, why-you-should-be-using-https</title>
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    <updated>2026-03-14T00:00:00Z</updated>
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    <author>
        <name>Chris Smith</name>
    </author>
    <entry>
        <title>The longest way to represent a date</title>
        <link href="https://chameth.com/the-longest-way-to-represent-a-date/"/>
        <updated>2026-03-14T00:00:00Z</updated>
        <id>https://chameth.com/the-longest-way-to-represent-a-date/</id>
        <content xml:lang="en" type="html">&lt;p&gt;The other day, someone on IRC posed this question: “What is the longest way to represent a date using any means possible that isn’t just repeated filler?”&lt;/p&gt;
&lt;p&gt;Some people jumped for writing the date out in languages that had longer translations. My immediate reaction was instead to suggest an obnoxious string-based representation of a unix timestamp: “one second after one second after one second after … midnight on January 1st 1970”. It’s &lt;em&gt;very&lt;/em&gt; repetitive, but it’s not filler: taking out any of the repetitions would change the value. Effectively it’s a &lt;a href=&#34;https://en.wikipedia.org/wiki/Successor_function&#34;&gt;successor function&lt;/a&gt; for unix timestamps, writ long. Some quick napkin maths suggests the full string representation would be around 30GiB&lt;sup id=&#34;fnref:1&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:1&#34; role=&#34;doc-noteref&#34;&gt;1&lt;/a&gt;&lt;/sup&gt;.&lt;/p&gt;
&lt;p&gt;An obvious approach to make it bigger is to make it more precise. If we do the same sort of successor function for &lt;em&gt;milliseconds&lt;/em&gt; it’d be a bit over 1000x longer&lt;sup id=&#34;fnref:2&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:2&#34; role=&#34;doc-noteref&#34;&gt;2&lt;/a&gt;&lt;/sup&gt;. It actually ends up being just over 35TiB&lt;sup id=&#34;fnref:3&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:3&#34; role=&#34;doc-noteref&#34;&gt;3&lt;/a&gt;&lt;/sup&gt;.&lt;/p&gt;
&lt;p&gt;There’s no reason to stop there, though. You can step down to microseconds, nanoseconds, and so on… or… we can just skip right to the end. How about: “one oscillation of the caesium-133 hyperfine transition frequency after one oscillation of the caesium-133 hyperfine transition frequency after … midnight on January 1st 1970”? There are over 9 billion of those every second, and the phrasing is &lt;em&gt;wordy&lt;/em&gt;. That comes out to almost 1ZiB&lt;sup id=&#34;fnref:4&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:4&#34; role=&#34;doc-noteref&#34;&gt;4&lt;/a&gt;&lt;/sup&gt;. If we pooled all the data storage on the planet together we could save a couple hundred of these timestamps.&lt;/p&gt;
&lt;p&gt;One final step, then: why use the unix epoch when we could use the universe’s own&lt;sup id=&#34;fnref:5&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:5&#34; role=&#34;doc-noteref&#34;&gt;5&lt;/a&gt;&lt;/sup&gt;? We’re something around 4×10^17 seconds past the big bang, so… hold on, I need to look up some units… that’d be over 200,000 yobibytes&lt;sup id=&#34;fnref:6&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:6&#34; role=&#34;doc-noteref&#34;&gt;6&lt;/a&gt;&lt;/sup&gt;. There’s not actually a standard prefix for that order of magnitude, according to Wikipedia. I think it should be 200 robibytes. Does anyone have a contact at the IEC?&lt;/p&gt;
&lt;p&gt;That is a big number. Is it impossibly big? If we wanted to track our current time, we’d need to write around 600GiB/s&lt;sup id=&#34;fnref:7&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:7&#34; role=&#34;doc-noteref&#34;&gt;7&lt;/a&gt;&lt;/sup&gt; to disk. That’s a bit more than we can manage at the minute, but isn’t completely outrageous. What about storage? Apparently hard drives require around a million atoms to store a bit of data. There’s some research showing it’s possible to use as few as 12, but I don’t think it’s anything that can be used at scale anytime soon&lt;sup id=&#34;fnref:8&#34;&gt;&lt;a class=&#34;footnote-ref&#34; href=&#34;#fn:8&#34; role=&#34;doc-noteref&#34;&gt;8&lt;/a&gt;&lt;/sup&gt;. So just for the direct data storage, not counting all the other infrastructure you need for a disk drive to &lt;em&gt;work&lt;/em&gt; we’d need around 10^36 atoms. If we sourced our atoms for our local &lt;a href=&#34;https://en.wikipedia.org/wiki/Instrumental_convergence#Paperclip_maximizer&#34;&gt;paperclip maximiser&lt;/a&gt; we’d need around 200 trillion paperclips. For just one timestamp.&lt;/p&gt;
&lt;p&gt;On the plus side, this timestamp format would compress &lt;em&gt;wonderfully&lt;/em&gt;.&lt;/p&gt;
&lt;div class=&#34;footnotes&#34; role=&#34;doc-endnotes&#34;&gt;
&lt;hr/&gt;
&lt;ol&gt;
&lt;li id=&#34;fn:1&#34;&gt;
&lt;p&gt;17 bytes of repetition * 1773528583 seconds ~= 3×10^10. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:1&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li id=&#34;fn:2&#34;&gt;
&lt;p&gt;There’d be a thousand times more repetitions, and each one would have the extra five bytes from the “milli” prefix. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:2&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li id=&#34;fn:3&#34;&gt;
&lt;p&gt;22 bytes of repetition * 1773528583000 milliseconds ~= 3×10^13. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:3&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li id=&#34;fn:4&#34;&gt;
&lt;p&gt;72 bytes of repetition * 1773528583 seconds * 9192631770 oscillations per second ~= 1×10^21. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:4&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li id=&#34;fn:5&#34;&gt;
&lt;p&gt;Other than it being impractical, not known to a decent accuracy, and the myriad other problems, of course. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:5&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li id=&#34;fn:6&#34;&gt;
&lt;p&gt;72 bytes of repetition * 4×10^17 seconds * 9192631770 oscillations per second ~= 3×10^29. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:6&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li id=&#34;fn:7&#34;&gt;
&lt;p&gt;72 bytes of repetition * 9192631770 oscillations per second ~= 6×10^11. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:7&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li id=&#34;fn:8&#34;&gt;
&lt;p&gt;Not that we could scale conventional drives up this much, either. &lt;a class=&#34;footnote-backref&#34; href=&#34;#fnref:8&#34; role=&#34;doc-backlink&#34;&gt;↩︎&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;/ol&gt;
&lt;/div&gt;
</content>
    </entry>
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