Viewing enriched Twitter post
@alz_zyd_ It boggles my mind that someone thought this is a good proof of such an essential theorem. I absolutely would have proven it your way if someone asked me to teach it to them. Your instincts here are excellent! Also, I highly recommend the 3B1B videos: https://t.co/mhxnQHYWC8
{
"media": [
{
"type": "photo",
"url": "https://crmoxkoizveukayfjuyo.supabase.co/storage/v1/object/public/media/posts/2003970779164348458/media_0.jpg?",
"filename": "media_0.jpg"
}
],
"processed_at": "2025-12-31T18:30:58.773576",
"pipeline_version": "2.0"
}{
"type": "tweet",
"id": "2003970779164348458",
"url": "https://x.com/BlancheMinerva/status/2003970779164348458",
"twitterUrl": "https://twitter.com/BlancheMinerva/status/2003970779164348458",
"text": "@alz_zyd_ It boggles my mind that someone thought this is a good proof of such an essential theorem. I absolutely would have proven it your way if someone asked me to teach it to them.\n\nYour instincts here are excellent!\n\nAlso, I highly recommend the 3B1B videos: https://t.co/mhxnQHYWC8",
"source": "Twitter for iPhone",
"retweetCount": 0,
"replyCount": 2,
"likeCount": 12,
"quoteCount": 0,
"viewCount": 2535,
"createdAt": "Wed Dec 24 23:27:20 +0000 2025",
"lang": "en",
"bookmarkCount": 17,
"isReply": true,
"inReplyToId": "2003717621557133776",
"conversationId": "2003717621557133776",
"displayTextRange": [
10,
287
],
"inReplyToUserId": "1661136128",
"inReplyToUsername": "alz_zyd_",
"author": {
"type": "user",
"userName": "BlancheMinerva",
"url": "https://x.com/BlancheMinerva",
"twitterUrl": "https://twitter.com/BlancheMinerva",
"id": "1125849026308575239",
"name": "Stella Biderman",
"isVerified": false,
"isBlueVerified": false,
"verifiedType": null,
"profilePicture": "https://pbs.twimg.com/profile_images/1452862756655357955/4RQeg_aM_normal.jpg",
"coverPicture": "",
"description": "",
"location": "",
"followers": 17424,
"following": 827,
"status": "",
"canDm": true,
"canMediaTag": true,
"createdAt": "Tue May 07 19:44:59 +0000 2019",
"entities": {
"description": {
"urls": []
},
"url": {}
},
"fastFollowersCount": 0,
"favouritesCount": 11695,
"hasCustomTimelines": true,
"isTranslator": false,
"mediaCount": 659,
"statusesCount": 13087,
"withheldInCountries": [],
"affiliatesHighlightedLabel": {},
"possiblySensitive": false,
"pinnedTweetIds": [
"1965543445591990450"
],
"profile_bio": {
"description": "Ensuring that tech companies don't have a monopoly on being able to do research on cutting edge AI @AiEleuther. She/her",
"entities": {
"description": {
"user_mentions": [
{
"id_str": "0",
"indices": [
99,
110
],
"name": "",
"screen_name": "AiEleuther"
}
]
},
"url": {
"urls": [
{
"display_url": "stellabiderman.ai",
"expanded_url": "https://www.stellabiderman.ai/",
"indices": [
0,
23
],
"url": "https://t.co/TOWgmeqCnA"
}
]
}
}
},
"isAutomated": false,
"automatedBy": null
},
"extendedEntities": {},
"card": {
"binding_values": [
{
"key": "player_url",
"value": {
"string_value": "https://www.youtube.com/embed/spUNpyF58BY"
}
},
{
"key": "player_image_large",
"value": {
"image_value": {
"height": 320,
"url": "https://pbs.twimg.com/card_img/2005737648476786689/4XpaxHSk?format=jpg&name=800x320_1",
"width": 569
}
}
},
{
"key": "player_image",
"value": {
"image_value": {
"height": 158,
"url": "https://pbs.twimg.com/card_img/2005737648476786689/4XpaxHSk?format=jpg&name=280x280",
"width": 280
}
}
},
{
"key": "app_star_rating",
"value": {
"string_value": "4.67896"
}
},
{
"key": "description",
"value": {
"string_value": "An animated introduction to the Fourier Transform.Help fund future projects: https://www.patreon.com/3blue1brownAn equally valuable form of support is to sim..."
}
},
{
"key": "player_width",
"value": {
"string_value": "1280"
}
},
{
"key": "domain",
"value": {
"string_value": "www.youtube.com"
}
},
{
"key": "app_is_free",
"value": {
"string_value": "true"
}
},
{
"key": "site",
"value": {
"scribe_key": "publisher_id",
"user_value": {
"id_str": "10228272"
}
}
},
{
"key": "player_image_original",
"value": {
"image_value": {
"height": 720,
"url": "https://pbs.twimg.com/card_img/2005737648476786689/4XpaxHSk?format=jpg&name=orig",
"width": 1280
}
}
},
{
"key": "app_url_resolved",
"value": {
"string_value": "vnd.youtube://www.youtube.com/watch?v=spUNpyF58BY&feature=applinks"
}
},
{
"key": "app_num_ratings",
"value": {
"string_value": "45,244,964"
}
},
{
"key": "app_price_amount",
"value": {
"string_value": "0.0"
}
},
{
"key": "player_height",
"value": {
"string_value": "720"
}
},
{
"key": "vanity_url",
"value": {
"scribe_key": "vanity_url",
"string_value": "youtube.com"
}
},
{
"key": "app_name",
"value": {
"string_value": "YouTube"
}
},
{
"key": "app_id",
"value": {
"scribe_key": "publisher_app_id",
"string_value": "544007664"
}
},
{
"key": "player_image_small",
"value": {
"image_value": {
"height": 81,
"url": "https://pbs.twimg.com/card_img/2005737648476786689/4XpaxHSk?format=jpg&name=144x144",
"width": 144
}
}
},
{
"key": "title",
"value": {
"string_value": "But what is the Fourier Transform? A visual introduction."
}
},
{
"key": "app_price_currency",
"value": {
"string_value": "USD"
}
},
{
"key": "app_url",
"value": {
"string_value": "https://t.co/redirect?url=vnd.youtube%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DspUNpyF58BY%26feature%3Dapplinks&sig=f85f78da50c5f3d1b8367184f80d4cf3d954615f&ssr=true&slug=mhxnQHYWC8"
}
},
{
"key": "card_url",
"value": {
"scribe_key": "card_url",
"string_value": "https://t.co/mhxnQHYWC8"
}
},
{
"key": "player_image_color",
"value": {
"image_color_value": {
"palette": [
{
"percentage": 90.83,
"rgb": {
"blue": 0,
"green": 0,
"red": 0
}
},
{
"percentage": 2.86,
"rgb": {
"blue": 124,
"green": 110,
"red": 55
}
},
{
"percentage": 2.19,
"rgb": {
"blue": 7,
"green": 59,
"red": 58
}
},
{
"percentage": 1.97,
"rgb": {
"blue": 9,
"green": 103,
"red": 103
}
},
{
"percentage": 0.69,
"rgb": {
"blue": 16,
"green": 17,
"red": 37
}
}
]
}
}
},
{
"key": "player_image_x_large",
"value": {
"image_value": {
"height": 720,
"url": "https://pbs.twimg.com/card_img/2005737648476786689/4XpaxHSk?format=png&name=2048x2048_2_exp",
"width": 1280
}
}
}
],
"card_platform": {
"platform": {
"audience": {
"name": "production"
},
"device": {
"name": "iPhone",
"version": "13"
}
}
},
"name": "player",
"url": "https://t.co/mhxnQHYWC8",
"user_refs_results": [
{
"rest_id": "10228272",
"result": {
"__typename": "User",
"action_counts": {
"favorites_count": 6038
},
"avatar": {
"image_url": "https://pbs.twimg.com/profile_images/1984471345854566400/5pd8GpgC_normal.jpg"
},
"banner": {
"image_url": "https://pbs.twimg.com/profile_banners/10228272/1764705659"
},
"core": {
"created_at": "Tue Nov 13 21:43:46 +0000 2007",
"name": "YouTube",
"screen_name": "YouTube"
},
"dm_permissions": {
"can_dm": false
},
"exclusive_tweet_following": false,
"identity_profile_labels_highlighted_label": {},
"location": {
"location": "San Bruno, CA"
},
"media_permissions": {
"can_media_tag": true
},
"notifications_settings": {},
"pinned_items": {},
"privacy": {},
"private_super_following": false,
"profile_bio": {
"description": "your 2025 Recap just dropped! link in bio 👇",
"entities": {
"description": {},
"url": {
"urls": [
{
"display_url": "youtube.com/recap",
"expanded_url": "http://youtube.com/recap",
"indices": [
0,
23
],
"url": "https://t.co/URnyVVvAVr"
}
]
}
}
},
"profile_image_shape": "Square",
"profile_metadata": {
"profile_interstitial_type": "",
"profile_link_color": "C9191D"
},
"profile_translation": {
"translator_type_enum": "Regular"
},
"properties": {
"has_extended_profile": false
},
"relationship_counts": {
"followers": 68026682,
"following": 1144
},
"relationship_perspectives": {},
"rest_id": "10228272",
"super_follow_eligible": false,
"super_followed_by": false,
"super_following": false,
"tweet_counts": {
"media_tweets": 16067,
"tweets": 60593
},
"website": {
"url": "https://t.co/URnyVVvAVr"
},
"verification": {
"is_blue_verified": true,
"verified_type": "Business"
}
}
}
]
},
"place": {},
"entities": {
"urls": [
{
"display_url": "youtube.com/watch?v=spUNpy…",
"expanded_url": "https://www.youtube.com/watch?v=spUNpyF58BY",
"indices": [
264,
287
],
"url": "https://t.co/mhxnQHYWC8"
}
],
"user_mentions": [
{
"id_str": "1661136128",
"indices": [
0,
9
],
"name": "alz",
"screen_name": "alz_zyd_"
}
]
},
"quoted_tweet": null,
"retweeted_tweet": null,
"isLimitedReply": false,
"article": null
}