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",
"Hashtag": "as:Hashtag"
}
],
"id": "https://mathstodon.xyz/users/joshuagrochow/statuses/114728543436792345",
"type": "Note",
"summary": null,
"inReplyTo": "https://mathstodon.xyz/users/joshuagrochow/statuses/114728541668069779",
"published": "2025-06-22T18:57:23Z",
"url": "https://mathstodon.xyz/@joshuagrochow/114728543436792345",
"attributedTo": "https://mathstodon.xyz/users/joshuagrochow",
"to": [
"https://www.w3.org/ns/activitystreams#Public"
],
"cc": [
"https://mathstodon.xyz/users/joshuagrochow/followers"
],
"sensitive": false,
"atomUri": "https://mathstodon.xyz/users/joshuagrochow/statuses/114728543436792345",
"inReplyToAtomUri": "https://mathstodon.xyz/users/joshuagrochow/statuses/114728541668069779",
"conversation": "tag:mathstodon.xyz,2025-06-22:objectId=159602609:objectType=Conversation",
"content": "<p>This is an example of amortized complexity and Strassen's "asymptotic spectra" (nice monograph by Zuiddam & Wigderson: <a href=\"https://www.math.ias.edu/~avi/PUBLICATIONS/WigdersonZu_Final_Draft_Oct2023.pdf\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://www.</span><span class=\"ellipsis\">math.ias.edu/~avi/PUBLICATIONS</span><span class=\"invisible\">/WigdersonZu_Final_Draft_Oct2023.pdf</span></a>)</p><p>Strassen developed this to understand the <a href=\"https://mathstodon.xyz/tags/complexity\" class=\"mention hashtag\" rel=\"tag\">#<span>complexity</span></a> of matrix multiplication and <a href=\"https://mathstodon.xyz/tags/tensors\" class=\"mention hashtag\" rel=\"tag\">#<span>tensors</span></a>, but it turns out to also show up in a bunch of places:<br />- <a href=\"https://mathstodon.xyz/tags/Entropy\" class=\"mention hashtag\" rel=\"tag\">#<span>Entropy</span></a><br />- <a href=\"https://mathstodon.xyz/tags/Quantum\" class=\"mention hashtag\" rel=\"tag\">#<span>Quantum</span></a> information<br />- Shannon capacity of graphs<br />- Communication complexity <a href=\"https://en.wikipedia.org/wiki/Communication_complexity#Information_Complexity\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://</span><span class=\"ellipsis\">en.wikipedia.org/wiki/Communic</span><span class=\"invisible\">ation_complexity#Information_Complexity</span></a><br />- Circuit complexity (Robere & Zuiddam <a href=\"https://eccc.weizmann.ac.il/report/2021/035\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://</span><span class=\"ellipsis\">eccc.weizmann.ac.il/report/202</span><span class=\"invisible\">1/035</span></a>)</p><p><a href=\"https://mathstodon.xyz/tags/math\" class=\"mention hashtag\" rel=\"tag\">#<span>math</span></a> <a href=\"https://mathstodon.xyz/tags/probability\" class=\"mention hashtag\" rel=\"tag\">#<span>probability</span></a> <a href=\"https://mathstodon.xyz/tags/ComputationalComplexity\" class=\"mention hashtag\" rel=\"tag\">#<span>ComputationalComplexity</span></a> <a href=\"https://mathstodon.xyz/tags/TCS\" class=\"mention hashtag\" rel=\"tag\">#<span>TCS</span></a> <a href=\"https://mathstodon.xyz/tags/InformationTheory\" class=\"mention hashtag\" rel=\"tag\">#<span>InformationTheory</span></a></p>",
"contentMap": {
"en": "<p>This is an example of amortized complexity and Strassen's "asymptotic spectra" (nice monograph by Zuiddam & Wigderson: <a href=\"https://www.math.ias.edu/~avi/PUBLICATIONS/WigdersonZu_Final_Draft_Oct2023.pdf\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://www.</span><span class=\"ellipsis\">math.ias.edu/~avi/PUBLICATIONS</span><span class=\"invisible\">/WigdersonZu_Final_Draft_Oct2023.pdf</span></a>)</p><p>Strassen developed this to understand the <a href=\"https://mathstodon.xyz/tags/complexity\" class=\"mention hashtag\" rel=\"tag\">#<span>complexity</span></a> of matrix multiplication and <a href=\"https://mathstodon.xyz/tags/tensors\" class=\"mention hashtag\" rel=\"tag\">#<span>tensors</span></a>, but it turns out to also show up in a bunch of places:<br />- <a href=\"https://mathstodon.xyz/tags/Entropy\" class=\"mention hashtag\" rel=\"tag\">#<span>Entropy</span></a><br />- <a href=\"https://mathstodon.xyz/tags/Quantum\" class=\"mention hashtag\" rel=\"tag\">#<span>Quantum</span></a> information<br />- Shannon capacity of graphs<br />- Communication complexity <a href=\"https://en.wikipedia.org/wiki/Communication_complexity#Information_Complexity\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://</span><span class=\"ellipsis\">en.wikipedia.org/wiki/Communic</span><span class=\"invisible\">ation_complexity#Information_Complexity</span></a><br />- Circuit complexity (Robere & Zuiddam <a href=\"https://eccc.weizmann.ac.il/report/2021/035\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://</span><span class=\"ellipsis\">eccc.weizmann.ac.il/report/202</span><span class=\"invisible\">1/035</span></a>)</p><p><a href=\"https://mathstodon.xyz/tags/math\" class=\"mention hashtag\" rel=\"tag\">#<span>math</span></a> <a href=\"https://mathstodon.xyz/tags/probability\" class=\"mention hashtag\" rel=\"tag\">#<span>probability</span></a> <a href=\"https://mathstodon.xyz/tags/ComputationalComplexity\" class=\"mention hashtag\" rel=\"tag\">#<span>ComputationalComplexity</span></a> <a href=\"https://mathstodon.xyz/tags/TCS\" class=\"mention hashtag\" rel=\"tag\">#<span>TCS</span></a> <a href=\"https://mathstodon.xyz/tags/InformationTheory\" class=\"mention hashtag\" rel=\"tag\">#<span>InformationTheory</span></a></p>"
},
"updated": "2025-06-22T18:59:42Z",
"attachment": [],
"tag": [
{
"type": "Hashtag",
"href": "https://mathstodon.xyz/tags/informationtheory",
"name": "#informationtheory"
},
{
"type": "Hashtag",
"href": "https://mathstodon.xyz/tags/tcs",
"name": "#tcs"
},
{
"type": "Hashtag",
"href": "https://mathstodon.xyz/tags/ComputationalComplexity",
"name": "#ComputationalComplexity"
},
{
"type": "Hashtag",
"href": "https://mathstodon.xyz/tags/probability",
"name": "#probability"
},
{
"type": "Hashtag",
"href": "https://mathstodon.xyz/tags/math",
"name": "#math"
},
{
"type": "Hashtag",
"href": "https://mathstodon.xyz/tags/quantum",
"name": "#quantum"
},
{
"type": "Hashtag",
"href": "https://mathstodon.xyz/tags/entropy",
"name": "#entropy"
},
{
"type": "Hashtag",
"href": "https://mathstodon.xyz/tags/tensors",
"name": "#tensors"
},
{
"type": "Hashtag",
"href": "https://mathstodon.xyz/tags/complexity",
"name": "#complexity"
}
],
"replies": {
"id": "https://mathstodon.xyz/users/joshuagrochow/statuses/114728543436792345/replies",
"type": "Collection",
"first": {
"type": "CollectionPage",
"next": "https://mathstodon.xyz/users/joshuagrochow/statuses/114728543436792345/replies?only_other_accounts=true&page=true",
"partOf": "https://mathstodon.xyz/users/joshuagrochow/statuses/114728543436792345/replies",
"items": []
}
},
"likes": {
"id": "https://mathstodon.xyz/users/joshuagrochow/statuses/114728543436792345/likes",
"type": "Collection",
"totalItems": 0
},
"shares": {
"id": "https://mathstodon.xyz/users/joshuagrochow/statuses/114728543436792345/shares",
"type": "Collection",
"totalItems": 1
}
}