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
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Accept
header
to the server to view the underlying object.
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"published": "2023-05-30T00:34:28Z",
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"content": "<p>See also the resources page for this paper: <a href=\"https://cs.uwaterloo.ca/~csk/spectre/\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://</span><span class=\"\">cs.uwaterloo.ca/~csk/spectre/</span><span class=\"invisible\"></span></a></p>",
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"en": "<p>See also the resources page for this paper: <a href=\"https://cs.uwaterloo.ca/~csk/spectre/\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://</span><span class=\"\">cs.uwaterloo.ca/~csk/spectre/</span><span class=\"invisible\"></span></a></p>"
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"id": "https://mathstodon.xyz/users/jsm28/statuses/110454821110400701/activity",
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"published": "2023-05-30T00:33:36Z",
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"published": "2023-05-30T00:33:36Z",
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"content": "<p>In plane tiling, it is completely standard that tiles may be reflected; nevertheless, some people were dissatisfied that the aperiodic hat monotile requires reflections to tile the plane. In our new preprint, we present the Spectre, the first example of a vampire einstein: an aperiodic monotile that tiles the plane without reflections. <a href=\"https://arxiv.org/abs/2305.17743\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://</span><span class=\"\">arxiv.org/abs/2305.17743</span><span class=\"invisible\"></span></a></p>",
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"en": "<p>In plane tiling, it is completely standard that tiles may be reflected; nevertheless, some people were dissatisfied that the aperiodic hat monotile requires reflections to tile the plane. In our new preprint, we present the Spectre, the first example of a vampire einstein: an aperiodic monotile that tiles the plane without reflections. <a href=\"https://arxiv.org/abs/2305.17743\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://</span><span class=\"\">arxiv.org/abs/2305.17743</span><span class=\"invisible\"></span></a></p>"
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"id": "https://mathstodon.xyz/users/jsm28/statuses/110311748905890480/activity",
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"published": "2023-05-04T18:08:27Z",
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"published": "2023-03-28T11:42:52Z",
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"published": "2023-03-28T11:42:52Z",
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"content": "<p>This article on the aperiodic monotile includes a quote from Robert Berger who found the very first aperiodic set of tiles (thanks to <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@11011110\" class=\"u-url mention\">@<span>11011110</span></a></span> for tracking down his subsequent career in a 2011 Wikipedia deletion discussion): <a href=\"https://www.nytimes.com/2023/03/28/science/mathematics-tiling-einstein.html\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://www.</span><span class=\"ellipsis\">nytimes.com/2023/03/28/science</span><span class=\"invisible\">/mathematics-tiling-einstein.html</span></a></p>",
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"en": "<p>This article on the aperiodic monotile includes a quote from Robert Berger who found the very first aperiodic set of tiles (thanks to <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@11011110\" class=\"u-url mention\">@<span>11011110</span></a></span> for tracking down his subsequent career in a 2011 Wikipedia deletion discussion): <a href=\"https://www.nytimes.com/2023/03/28/science/mathematics-tiling-einstein.html\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://www.</span><span class=\"ellipsis\">nytimes.com/2023/03/28/science</span><span class=\"invisible\">/mathematics-tiling-einstein.html</span></a></p>"
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"published": "2023-03-23T22:09:51Z",
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"published": "2023-03-23T22:09:51Z",
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"cc": [
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"atomUri": "https://mathstodon.xyz/users/jsm28/statuses/110074881058441953",
"inReplyToAtomUri": "https://mathstodon.xyz/users/Danpiker/statuses/110072853652942458",
"conversation": "tag:mathstodon.xyz,2023-03-23:objectId=45089694:objectType=Conversation",
"content": "<p><span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@Danpiker\" class=\"u-url mention\">@<span>Danpiker</span></a></span> <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@nilesjohnson\" class=\"u-url mention\">@<span>nilesjohnson</span></a></span> <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@christianp\" class=\"u-url mention\">@<span>christianp</span></a></span> My conclusion was that for a two-dimensional topological disk monotile, the only flexibility is varying the side lengths as discussed in the paper; you can't change the sides away from straight lines or change the angles. The metatile shapes are much more flexible, however.</p>",
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"en": "<p><span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@Danpiker\" class=\"u-url mention\">@<span>Danpiker</span></a></span> <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@nilesjohnson\" class=\"u-url mention\">@<span>nilesjohnson</span></a></span> <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@christianp\" class=\"u-url mention\">@<span>christianp</span></a></span> My conclusion was that for a two-dimensional topological disk monotile, the only flexibility is varying the side lengths as discussed in the paper; you can't change the sides away from straight lines or change the angles. The metatile shapes are much more flexible, however.</p>"
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"published": "2023-03-21T21:02:39Z",
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"conversation": "tag:mathstodon.xyz,2023-03-21:objectId=44853221:objectType=Conversation",
"content": "<p><span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@robinhouston\" class=\"u-url mention\">@<span>robinhouston</span></a></span> That agrees with the figure Adam came up with (computed as a ratio of unreflected to reflected rather than as a proportion of all tiles): <a href=\"https://cp4space.hatsya.com/2023/03/21/aperiodic-monotile/\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://</span><span class=\"ellipsis\">cp4space.hatsya.com/2023/03/21</span><span class=\"invisible\">/aperiodic-monotile/</span></a></p>",
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"en": "<p><span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@robinhouston\" class=\"u-url mention\">@<span>robinhouston</span></a></span> That agrees with the figure Adam came up with (computed as a ratio of unreflected to reflected rather than as a proportion of all tiles): <a href=\"https://cp4space.hatsya.com/2023/03/21/aperiodic-monotile/\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://</span><span class=\"ellipsis\">cp4space.hatsya.com/2023/03/21</span><span class=\"invisible\">/aperiodic-monotile/</span></a></p>"
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"atomUri": "https://mathstodon.xyz/users/jsm28/statuses/110061637994668080",
"inReplyToAtomUri": "https://sauropods.win/users/barrygoldman1/statuses/110061581814552734",
"conversation": "tag:mathstodon.xyz,2023-03-21:objectId=44834606:objectType=Conversation",
"content": "<p><span class=\"h-card\" translate=\"no\"><a href=\"https://sauropods.win/@barrygoldman1\" class=\"u-url mention\">@<span>barrygoldman1</span></a></span> <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@csk\" class=\"u-url mention\">@<span>csk</span></a></span> <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@tao\" class=\"u-url mention\">@<span>tao</span></a></span> Figure 3.2.4(a) in Tilings and Patterns is a periodic tiling by the Voderberg tile.</p>",
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"en": "<p><span class=\"h-card\" translate=\"no\"><a href=\"https://sauropods.win/@barrygoldman1\" class=\"u-url mention\">@<span>barrygoldman1</span></a></span> <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@csk\" class=\"u-url mention\">@<span>csk</span></a></span> <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@tao\" class=\"u-url mention\">@<span>tao</span></a></span> Figure 3.2.4(a) in Tilings and Patterns is a periodic tiling by the Voderberg tile.</p>"
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"content": "<p><span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@robinhouston\" class=\"u-url mention\">@<span>robinhouston</span></a></span> Open as well, and probably much harder to resolve than the case with only 180-degree rotations.</p>",
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"content": "<p><span class=\"h-card\" translate=\"no\"><a href=\"https://nrw.social/@markuswerle\" class=\"u-url mention\">@<span>markuswerle</span></a></span> <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@csk\" class=\"u-url mention\">@<span>csk</span></a></span> My diagrams were done in TikZ (sources included in the paper sources on the arXiv), the other authors used other tools.</p>",
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"de": "<p><span class=\"h-card\" translate=\"no\"><a href=\"https://nrw.social/@markuswerle\" class=\"u-url mention\">@<span>markuswerle</span></a></span> <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@csk\" class=\"u-url mention\">@<span>csk</span></a></span> My diagrams were done in TikZ (sources included in the paper sources on the arXiv), the other authors used other tools.</p>"
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"content": "<p>@benjohn@noparticular.place <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@csk\" class=\"u-url mention\">@<span>csk</span></a></span> The idea for those proof structure diagrams came from e.g. Greenfeld-Tao 2022 (see page 5 of their preprint). <a href=\"https://arxiv.org/abs/2211.15847\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://</span><span class=\"\">arxiv.org/abs/2211.15847</span><span class=\"invisible\"></span></a></p>",
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"en": "<p>@benjohn@noparticular.place <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@csk\" class=\"u-url mention\">@<span>csk</span></a></span> The idea for those proof structure diagrams came from e.g. Greenfeld-Tao 2022 (see page 5 of their preprint). <a href=\"https://arxiv.org/abs/2211.15847\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://</span><span class=\"\">arxiv.org/abs/2211.15847</span><span class=\"invisible\"></span></a></p>"
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"content": "<p>An aperiodic monotile (joint work with David Smith, <span class=\"h-card\" translate=\"no\"><a href=\"https://mathstodon.xyz/@csk\" class=\"u-url mention\">@<span>csk</span></a></span> and Chaim Goodman-Strauss): <a href=\"https://arxiv.org/abs/2303.10798\" target=\"_blank\" rel=\"nofollow noopener noreferrer\" translate=\"no\"><span class=\"invisible\">https://</span><span class=\"\">arxiv.org/abs/2303.10798</span><span class=\"invisible\"></span></a></p>",
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