A small tool to view real-world ActivityPub objects as JSON! Enter a URL
or username from Mastodon or a similar service below, and we'll send a
request with
the right
Accept
header
to the server to view the underlying object.
{
"@context": [
"https://www.w3.org/ns/activitystreams",
{
"ostatus": "http://ostatus.org#",
"atomUri": "ostatus:atomUri",
"inReplyToAtomUri": "ostatus:inReplyToAtomUri",
"conversation": "ostatus:conversation",
"sensitive": "as:sensitive",
"toot": "http://joinmastodon.org/ns#",
"votersCount": "toot:votersCount",
"blurhash": "toot:blurhash",
"focalPoint": {
"@container": "@list",
"@id": "toot:focalPoint"
}
}
],
"id": "https://mstdn.social/users/Zamfr/statuses/113533403873824590",
"type": "Note",
"summary": null,
"inReplyTo": "https://sauropods.win/users/futurebird/statuses/113532721775708525",
"published": "2024-11-23T17:17:41Z",
"url": "https://mstdn.social/@Zamfr/113533403873824590",
"attributedTo": "https://mstdn.social/users/Zamfr",
"to": [
"https://mstdn.social/users/Zamfr/followers"
],
"cc": [
"https://www.w3.org/ns/activitystreams#Public",
"https://sauropods.win/users/futurebird"
],
"sensitive": false,
"atomUri": "https://mstdn.social/users/Zamfr/statuses/113533403873824590",
"inReplyToAtomUri": "https://sauropods.win/users/futurebird/statuses/113532721775708525",
"conversation": "tag:sauropods.win,2024-11-23:objectId=37758032:objectType=Conversation",
"content": "<p><span class=\"h-card\" translate=\"no\"><a href=\"https://sauropods.win/@futurebird\" class=\"u-url mention\">@<span>futurebird</span></a></span> </p><p>There is a nice attempt in Visual complex analysis, by Tristan Needham.<br />He first encourages you to see exp(x) as (1 + x/n)**n for n-> infinity. Interest paid out continuously, you know.</p><p>That has a nice geometric equivalent for complex exp(x + iy). Namely, a stack of n triangles with height y/n. As n goes to infinity, that stack is a spiral, or a circle if the real part is zero</p><p>Edit: and the circle then maps to cos and sin</p>",
"contentMap": {
"en": "<p><span class=\"h-card\" translate=\"no\"><a href=\"https://sauropods.win/@futurebird\" class=\"u-url mention\">@<span>futurebird</span></a></span> </p><p>There is a nice attempt in Visual complex analysis, by Tristan Needham.<br />He first encourages you to see exp(x) as (1 + x/n)**n for n-> infinity. Interest paid out continuously, you know.</p><p>That has a nice geometric equivalent for complex exp(x + iy). Namely, a stack of n triangles with height y/n. As n goes to infinity, that stack is a spiral, or a circle if the real part is zero</p><p>Edit: and the circle then maps to cos and sin</p>"
},
"updated": "2024-11-23T20:06:58Z",
"attachment": [
{
"type": "Document",
"mediaType": "image/jpeg",
"url": "https://media.mstdn.social/media_attachments/files/113/533/380/819/316/993/original/79d28c00ca0c4e2d.jpg",
"name": "A graph of exp(x). Text below the graph: the fact that exp(x)' = exp(x) implies that the shaded triangle has unit base. It follows that ynew = (1 + delta)yold as delta vanishes. Now syart with x=0 ! And yold=1. Taking delta= x/n and repeatedly moving delta to the right, the height is ultimately multiplied by [1 +x/n] each time. So exp(x) = [1+x/n]**n",
"blurhash": "UAF#{z9G0Lxu-:WBRjxtIoofs:kBofWCoLWV",
"width": 3838,
"height": 2160
},
{
"type": "Document",
"mediaType": "image/jpeg",
"url": "https://media.mstdn.social/media_attachments/files/113/533/381/371/822/140/original/2f6bede70c4cc15b.jpg",
"name": "A graph of exp(z) with complex z, as spiral built from small triangles.\n\nText below:\nTaking epsilon = z/n = (x +iy)/n in the previous figure, we may now approximate a = [1 + z/n] as abs(b)=(1 + x/n); arg(b) = y/n\n\nThus, [1 + z/n]**n = [abs =(1 + x/n), arg= (y/n)] **n =[ abs = (1 + x/n)**n, arg= y] = [ abs = exp(x), arg= y]\n\nAnd the mystery is solved!",
"blurhash": "UIH1}Hxa0L?HxtofWBj[Rjj[jaR*j[WVayj[",
"width": 3838,
"height": 2160
}
],
"tag": [
{
"type": "Mention",
"href": "https://sauropods.win/users/futurebird",
"name": "@futurebird@sauropods.win"
}
],
"replies": {
"id": "https://mstdn.social/users/Zamfr/statuses/113533403873824590/replies",
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"type": "CollectionPage",
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"items": [
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]
}
}
}