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Telegram profile photo for Пифагоровы штаны

Channel

Пифагоровы штаны

@pifshtany

On this record: Topic · Growth · Engagement · What this channel posts · Reactions · Posts · Polls · Citations · Telegram's recommendations · Cite this entry

23,629subscribers

-523 since we began measuring on 6 August 2026

Risers and fallers across the register · movement among entries of 10,000–31,623.

Register entry

Telegram ID-1001212714528
TypeChannel
Username@pifshtany
Created8 May 2020 — measured — cross-checked against a third-party dataset (ext.tg_channel)
First recorded6 August 2026
Last confirmed live8 November 2026
Measurements held59
Confirmed unchanged1 time, most recently 8 November 2026
On Telegramt.me/pifshtany

Topic

Education — a classification, not a measurement. An on-box language model (Qwen3.6-35B-A3B-FP8, prompt version 1) read this channel’s own recent posts on 10 September 2026 and assigned it the closest of 31 fixed categories, at 100% confidence. This is a model’s judgement about what the channel is likely to be about, not a fact this register measured the way a subscriber count or a view count is measured — it can be revised on a later pass, and it carries no weight anywhere else on this page. How this classification works, and the other topics.

Growth

23,62924,15223,890.56 August 2026 — 24,152 subscribers6 August 2026 — 24,152 subscribers6 August 2026 — 24,138 subscribers7 August 2026 — 24,129 subscribers8 August 2026 — 24,122 subscribers9 August 2026 — 24,115 subscribers10 August 2026 — 24,108 subscribers12 August 2026 — 24,099 subscribers13 August 2026 — 24,089 subscribers15 August 2026 — 24,082 subscribers16 August 2026 — 24,059 subscribers17 August 2026 — 24,042 subscribers18 August 2026 — 24,039 subscribers19 August 2026 — 24,028 subscribers20 August 2026 — 24,017 subscribers21 August 2026 — 24,014 subscribers23 August 2026 — 24,017 subscribers24 August 2026 — 24,005 subscribers25 August 2026 — 23,993 subscribers26 August 2026 — 23,997 subscribers27 August 2026 — 23,987 subscribers28 August 2026 — 23,986 subscribers29 August 2026 — 23,973 subscribers30 August 2026 — 23,968 subscribers31 August 2026 — 23,955 subscribers1 September 2026 — 23,946 subscribers2 September 2026 — 23,933 subscribers3 September 2026 — 23,921 subscribers5 September 2026 — 23,901 subscribers9 September 2026 — 23,868 subscribers11 September 2026 — 23,854 subscribers13 September 2026 — 23,845 subscribers15 September 2026 — 23,842 subscribers17 September 2026 — 23,818 subscribers19 September 2026 — 23,801 subscribers26 September 2026 — 23,766 subscribers4 October 2026 — 23,747 subscribers13 October 2026 — 23,720 subscribers14 October 2026 — 23,706 subscribers16 October 2026 — 23,698 subscribers17 October 2026 — 23,695 subscribers18 October 2026 — 23,691 subscribers19 October 2026 — 23,689 subscribers21 October 2026 — 23,687 subscribers23 October 2026 — 23,693 subscribers25 October 2026 — 23,699 subscribers26 October 2026 — 23,688 subscribers27 October 2026 — 23,690 subscribers28 October 2026 — 23,689 subscribers29 October 2026 — 23,680 subscribers30 October 2026 — 23,679 subscribers31 October 2026 — 23,676 subscribers1 November 2026 — 23,669 subscribers3 November 2026 — 23,664 subscribers4 November 2026 — 23,657 subscribers5 November 2026 — 23,650 subscribers6 November 2026 — 23,643 subscribers7 November 2026 — 23,637 subscribers8 November 2026 — 23,629 subscribers6 August 20268 November 2026
59 measurements spanning 94 days, net -523. Dots are measurements; the straight line between them is drawn to join them, not to claim we know the path taken in between — snapshots are recorded only when a count changes, so gaps mean “no change observed”, never “interpolated”. The vertical axis spans 23,551–24,230 and does not start at zero.
Measurement log — every subscribers count we have recorded, most recent 20 of 59
Measured (UTC)SubscribersChange
8 Nov 2026, 03:1623,629-8
7 Nov 2026, 00:5823,637-6
6 Nov 2026, 02:4923,643-7
5 Nov 2026, 03:4023,650-7
4 Nov 2026, 06:4623,657-7
3 Nov 2026, 05:1123,664-5
1 Nov 2026, 06:5623,669-7
31 Oct 2026, 08:5423,676-3
30 Oct 2026, 06:5923,679-1
29 Oct 2026, 07:5123,680-9
28 Oct 2026, 07:4923,689-1
27 Oct 2026, 04:2623,690+2
26 Oct 2026, 01:5823,688-11
25 Oct 2026, 01:1923,699+6
23 Oct 2026, 00:3623,693+6
21 Oct 2026, 22:0523,687-2
19 Oct 2026, 12:5523,689-2
18 Oct 2026, 11:2723,691-4
17 Oct 2026, 14:3123,695-3
16 Oct 2026, 15:3923,698first reading

Engagement

168 posts held, back to 3 August 2026 — the reader has not yet reached the start of this channel’s public history, so older posts may sit further back, unread. Read across 114 pages of Telegram’s post history, 20 posts per page.

ERR · 30 days
3.67%
avg views ÷ 23,629 subscribers
Avg views / post
868
64 posts measured
Reaction rate
1.22%
reactions ÷ views · ER floor
Posts in window
64
of 168 held

ERR is average views per post over the last 30 days divided by subscribers, the definition TGStat uses, so this figure is comparable with the one you will see elsewhere. It falls structurally as a channel grows: a high ERR on a small channel and a low one on a large channel describe reach mathematics, not quality. We publish the figure and the sample it came from and pass no verdict on it.

ER is defined industry-wide as (forwards + reactions + comments) ÷ views — note the denominator is views, not subscribers. Telegram’s public web preview carries views and reactions but not forward or comment counts, so the reaction rate above is the reactions term only and is therefore a floor: the true ER for this channel is higher by an amount we have not measured and will not estimate. It is computed over the 53 of 64 measured posts that carry a reaction reading, and over those same posts' views.

What these figures were computed from
WindowRolling 30 days · latest post in window 7 November 2026
Posts held168 (3 August 2026 – 7 November 2026)
Views total55,537
Reactions total574
Forwards / commentsnot exposed by the public surface — not measured, not estimated
Readings taken8 Nov 2026, 01:44 UTC

Views are a single reading per post, taken at the time above. A post published in the last day or two is still accumulating views, which pulls the 30-day average down slightly. That is a property of the standard definition rather than a fault in it, so we keep the definition rather than “correcting” the number into something nobody can reproduce.

Precision. Telegram publishes view counts on its public widget in short form — 8.12K, 3.7M — so any reading at or above 1,000 reaches us rounded to three significant figures, and only counts below 1,000 are exact. Averages and rates derived from them are shown to the same precision rather than to the unit: a figure like 3,701,250 would assert digits nobody measured.

Reaction counts are published per emoji and rounded the same way, so a total below 1,000 is exact and a larger one is a sum that may carry a rounded component from each emoji above 1,000. Because it is a sum, it does not look rounded — read a large reaction total as three significant figures per contributing emoji rather than as the figure it prints.

What this channel posts

Video runtime
18m 33s
Average length
2m 39s

Measured directly from 7 videos with a duration reading, out of the posts we hold for this channel — not this channel’s whole posting history, only the sample this register has actually read. An exact reading to the second, taken from the post itself rather than from Telegram’s own rounded chrome, so it carries no ≈ mark.

Reaction mix

1,723 reactions across 145 posts, in 12 distinct kinds. The most used accounts for 49.0% of them.

Every reaction kind recorded on the sample, most used first
ReactionCountShareShare, drawn
❤84449.0%
👍44625.9%
🔥27415.9%
🥰462.67%
🤔452.61%
💯201.16%
🎉150.871%
😍110.638%
🙏80.464%
👏50.29%
🤩50.29%
😁40.232%

No sentiment is inferred, and none should be read in. This table is ordered by count and by nothing else. Emoji do not carry stable meaning across languages or communities — 🙏 is thanks in one channel and mourning in another — so we publish which ones were pressed and how often, and pass no judgement on what an audience meant by them.

Precision. Telegram publishes reaction counts per emoji and short-forms each one — 4.34K, 1.2M — so any single kind at or above 1,000 reaches us at three significant figures, and only counts below 1,000 are exact. The shares above are ratios of those figures and carry the same error. This is also why the total here can differ slightly from a reaction total printed elsewhere on the page: both are sums of the same rounded parts, taken over samples with different edges.

Coverage. Reactions were read on 146 of the 168 sampled posts in this sample. Summed by Telegram’s own count on each post — not by adding up the per-emoji breakdown above — those same posts carry 1,734 reactions in total: the kind of figure the paragraph above means by “a reaction total printed elsewhere on the page”.

Measured over the 168 most recent posts we hold, published 3 August 2026 to 7 November 2026, using the newest reading held for each. Telegram Stars are excluded: they are a payment, not a reaction, and they have their own section.

Recent posts

Telegram’s own ‘edited’ marker: 0 of 64 posts held from the last 30 days (0%) carried it when this register last read them. The marker says a post was changed after publishing, not what it said before — this register holds the earlier wording only where an edit fell between two of its own reads (see the edit ledger and how it is measured).

7 Nov 2026, 12:48 UTC471 views16 reactionsread 8 November 2026

Как быстро проверить, делится ли число на 11? 🤔 Есть простой математический лайфхак, который поможет проверить делимость числа на 11 без деления в столбик! Нужно поочерёдно поставить между цифрами числа знаки минус и плюс, начиная с минуса. Затем выполнить вычисления. Если получившееся число делится на 11 или равно нулю, значит, исходное число тоже делится на 11. Разберём на примерах: 🔜 Число 2728 Ставим знаки …

🔥10👍6

6 Nov 2026, 14:48 UTC635 views18 reactionsread 8 November 2026
Photo

Задача за ужином от «Пифагоровых штанов» 💥 На столе лежат 6 спичек. Нужно сложить из них 4 одинаковых треугольника, используя каждую спичку ровно один раз. Можно ли это сделать?

🔥9❤5🥰4

6 Nov 2026, 08:21 UTC714 views17 reactionsread 8 November 2026
File

Варианты осенней олимпиады «Пифагоровы штаны» 🚩 Осенью 2026 года прошла очередная авторская онлайн-олимпиада «Пифагоровы штаны». Задачи для неё разработали преподаватели нашей школы с Мехмата МГУ. Публикуем варианты олимпиады для дошкольников и учеников 1–8 классов. В них собраны задания на логику, математическое мышление и умение находить нестандартные решения. В нашем архиве также собраны варианты олимпиад прошл…

❤15🔥1🥰1

5 Nov 2026, 13:48 UTC664 views17 reactionsread 8 November 2026
Video

Как развивать абстрактное мышление ребёнка прямо во время выполнения домашнего задания? 😌 Анастасия Жукова, соосновательница школы «Пифагоровы штаны», рассказывает об одном простом приёме — методе математического обобщения. Попробуйте взять знакомую ребёнку текстовую задачу и заменить в ней числа на более крупные. Так ему придётся выйти за рамки привычного решения, увидеть закономерности и самостоятельно разобратьс…

❤10👍7

5 Nov 2026, 11:22 UTC682 views8 reactionsread 8 November 2026
Photo

По многочисленным просьбам мы открыли дополнительные места в зимнем математическом лагере 🎉 Если вы не успели записать ребёнка или только сейчас задумались о зимних каникулах, у вас появилась ещё одна возможность присоединиться к нам. С 4 по 10 января приглашаем ребят 3–8 классов в Дом отдыха МГУ «Красновидово» на неделю математики, научных открытий и новых знакомств. Что ждёт участников? 🎄 Математика каждый день…

❤3🔥3🥰2

4 Nov 2026, 09:20 UTC768 views11 reactionsread 8 November 2026
Photo

С Днём народного единства! Этот праздник напоминает нам, как важно поддерживать друг друга, уважать различия и находить то, что нас объединяет. Ведь дружба, взаимопомощь и стремление к знаниям не знают границ. Команда «Пифагоровых штанов» поздравляет вас с праздником! Желаем вашим семьям тепла, согласия и новых открытий вместе 💛

❤9🔥1🥰1

3 Nov 2026, 14:59 UTC764 views14 reactionsread 8 November 2026
Photo

Как меняется ребёнок в процессе обучения ❓ Сегодня на самые часто задаваемые вопросы отвечает преподаватель «Пифагоровых штанов» Виктория Боровская. Образование: Санкт-Петербургский государственный университет аэрокосмического приборостроения, Институт киберфизических систем. 🔴 Какие изменения в детях вы чаще всего замечаете после нескольких месяцев занятий? Самое приятное в работе преподавателя — наблюдать, как …

🥰6👍4❤3💯1

3 Nov 2026, 11:42 UTC735 views9 reactionsread 8 November 2026
Photo

Математика сближает: почему в лагере легко найти единомышленников 🌟 Представьте, что вокруг ребёнка ребята, которым тоже нравится решать сложные задачи, искать необычные решения и обсуждать математические идеи. В такой компании увлечения становятся поводом для знакомства, а общие интересы помогают быстро найти общий язык. 💡💡💡 Именно такая атмосфера ждёт участников зимнего лагеря «Пифагоровы штаны». С 4 по 10 янва…

❤5👍3💯1

2 Nov 2026, 14:14 UTC763 views3 reactionsread 8 November 2026
Video message

Video message, posted without a caption

🔥3

2 Nov 2026, 14:14 UTC739 viewsread 8 November 2026

Разбираем задачку для 4 класса 🧠 Вы просили показать, как к решению этой задачи может прийти ребёнок. 😌 Поэтому Анастасия Краснова — соосновательница школы «Пифагоровы штаны» — записала для вас видеоразбор, в котором объясняет ход рассуждений и показывает, как найти ответ без сложных вычислений. Смотрите кружочек ниже 👇🏻

2 Nov 2026, 12:56 UTC762 views24 reactionsread 8 November 2026
Photo

От первой олимпиады до международных побед: история нашего ученика Никиты 🏆 Когда Никита только начинал заниматься математикой, ему нравилось решать логические задачи и искать нестандартные решения. А сегодня в его копилке — золото международных олимпиад SIMOC и STEAM AHEAD, награда Gold Award на AMO и победа на IJMO в Китае. Но путь к этим достижениям не всегда был простым. Никита не с первого раза поступил в жел…

❤10👍6🔥6🎉2

2 Nov 2026, 10:47 UTC737 views10 reactionsread 6 November 2026
Photo

5 причин провести зимние каникулы в математическом лагере ❄ Зимние каникулы — целая неделя, которую можно провести по-разному. Мы предлагаем провести её в «Красновидово»: с математикой, новыми знакомствами, интересными открытиями и активным отдыхом. Собрали 5 причин присоединиться к нашей смене: 1⃣ Продвинуться в математике Ребят ждут 3–4 занятия олимпиадной математикой каждый день с опытными преподавателями. Мож…

❤5👍5

Showing the 12 most recent of 168 posts we hold for @pifshtany. View and reaction counts are the latest single reading for each post, not a live figure, and a recent post is still accumulating both. A view count marked ≈ was rounded by Telegram before we ever saw it — t.me prints views in full below 1,000 and to three significant figures above, so ≈1,200,000 means somewhere between 1,150,000 and 1,249,999. Unmarked counts are exact. Text is reproduced from the public post preview and truncated for length.

Polls

The 2 polls we hold for this entry, as Telegram rendered them when we read the post. A poll’s figures keep moving after that, so each one is dated.

23 Oct 2026, 11:32 UTCAnonymous Poll48 voters

Что для вас самое сложное в подготовке детей к математическим олимпиадам?

  1. Подбор заданий31%
  2. Объяснение решений40%
  3. Работа над ошибками21%
  4. Мотивация детей60%
  5. Свой ответ (оставляйте ниже)8%

The shares total 160%, above 100: this poll accepts more than one answer per voter. No per-option vote count is published, so the number of voters who chose each option is not derivable and is not shown.

13 Aug 2026, 09:29 UTCAnonymous Poll71 voters

Как думаете, что мы подготовили?

  1. Новый курс35%
  2. Новое направление в школе42%
  3. Новый формат занятий37%
  4. Свой вариант ответа в комментариях0%

The shares total 114%, above 100: this poll accepts more than one answer per voter. No per-option vote count is published, so the number of voters who chose each option is not derivable and is not shown.

Percentages only — there are no per-option vote counts here, because Telegram publishes none. The public post preview gives each option’s share and a single voter total, and nothing else. Multiplying one by the other would produce a per-option tally that looks measured and is not: the shares are rounded to whole numbers before we ever see them. We print what was published and leave the column that does not exist empty.

The shares need not add up to 100. Rounding alone puts many polls at 99 or 101. A poll that allows more than one answer per voter runs well past 100 by design, and several here do. The bars are drawn against a fixed 100% track at each option’s own percentage rather than normalised to the total, so a poll that exceeds it shows that it does instead of being quietly rescaled.

Read from the 168 most recent posts we hold, published 3 August 2026 to 7 November 2026. Telegram labels each poll by kind — an anonymous poll, a quiz, a closed set of final results — and that label is reproduced rather than paraphrased.

Forward network

Republishes

Channels on the register whose posts this channel has forwarded.

Built only from forwarded posts we have actually read, on both sides. Coverage is early and deliberately incomplete: a missing link means we have not read the post that would prove it, never that the relationship does not exist. Counts are distinct forwarded posts observed, so they only ever go up as we read more.

Mentions

Named by 7 registered channels — every channel on the register whose own posts have named this one, by its current username or any other username it currently holds, merged from two separately captured readings of the same fact so a namer caught by only one of them is not missed and a namer both caught is not counted twice. A username this channel has since dropped is not matched — that handle may belong to someone else now, and crediting today’s namer to yesterday’s owner would misattribute it.

A mention is a weaker signal than a forward and is counted separately for that reason — naming a channel is not republishing it, and a handle in a post body is easy to place deliberately. The post counts beside each row below are distinct posts in which the handle appeared, from posts we have read on both sides — the “Named by N registered channels” figure above is a different count, of distinct NAMING CHANNELS rather than posts, and is not the sum of the rows under it.

Channels Telegram recommends alongside this one

Telegram’s own answer, not this register’s. When this register asks Telegram’s API what is similar to this channel, this is the list it returns, in the exact order Telegram returns it — never re-sorted by subscribers or by anything else this register measures. The relationship, and the order, are Telegram’s; we record them and date them, and make no claim of our own about which of these channels actually resemble this one.

Знаменатель - Олимпиадная математика
@znamenatelclub · 7,220
#1
Анастасия Жукова | Про математику
@zhukova_pifshtany · 6,908
#2
matolimp
@matolimp · 31,902
#3
Математика. Творческая Лаборатория 2х2
@lab2x2 · 13,432
#4
Математические тропинки (Mattrop.ru)
@mattrop_ru · 9,537
#5
Математические кружки | «МТ кружки»
@mt_circles · 7,979
#6
Русская математическая школа (РМШ)
@russianmathschool · 8,940
#7
Кружок по математике
@mathfromnowhere · 5,112
#8
Профиматика для педагогов
@profimatika_for_teachers · 29,268
#9
Олимпиадная математика Олмат
@olmath · 15,706
#10
Анастасия Краснова | Математика Пифагоровы штаны
@kras_pifshtany · 7,038
#11
PhysX 3-6 класс. Курсы по физике
@physx_3_5 · 2,138
#12
Систематика
@systematika_org · 7,772
#13
Повышение квалификации по математике
@school_maths_ru · 3,619
#14
Математичка
@matemateachka · 4,211
#15
ФИЗ-мат, прак с Вероникой Кригер
@physmatkult · 2,431
#16
Математик Андрей
@matematik_andrei_channel · 966,632
#17
Математический драйв с Татьяной Коган
@math_drive · 1,099
#18
Олимпиадная математика «РАЗ-ДВА-ТРИ!» Москва
@mskmath123 · 1,909
#19
Квантландия | Интересные задачи и не только
@kvantland · 5,945
#20
Мышематика от Жени Кац
@mousemath · 9,544
#21
Вперед учиться
@Ready_Study_Go · 5,786
#22
БИО ФАКТ - Ученые детям 0+
@biofact_detyam · 5,379
#23
Искра знания
@iskra_znania · 9,943
#24
PRO.BEAUTY CLUB
@vsebudet4fresh · 10,635
#25
Аптеки Картинки | Здоровье и лекарства
@apteka_kartinki · 7,102
#26
Юлия Кузнецова (книги и курсы)
@kuznetsova_writer · 7,901
#27
Издательство Clever | Книги для детей
@clevermedia · 10,165
#28
Катана Капитана
@captainskatana · 11,514
#29
HIPER | Компьютерная техника и ИТ-решения
@hiper_russia · 4,422
#30
Канал Алины Чабуткиной
@nashi_ne_serie_budni · 7,364
#31
Книжные истории📚
@readtime_5636 · 13,633
#32
Эксмодетство: малыши
@eksmo_baby · 4,199
#33
АНФ. Думай по-своему
@alpinanonfiction · 10,993
#34
ГУСЕВА ПЕЧАТАЕТ …
@guseva_mom · 7,321
#35
Керхер Россия (Kärcher)
@karcherru · 8,133
#36
WORLD OF TECH • МИРТЕХ
@world_of_tech · 3,981
#37
Astra Make-Up Russia
@astramakeup_russia · 2,818
#38
Гуляем с Германом
@gulyaem_s_germanom · 19,116
#39
BelogorskLife
@belogorsk_life · 2,863
#40
Т2 Косметика
@T2Kosmetika · 4,199
#41
KEEMALA👩‍🍳рецепты и надежная техника для кухни
@keemala_shop · 5,396
#42
Анна Данилова: дети, театры, книги
@anndanilova5 · 13,767
#43
Revolution Beauty London
@revolutionbeautyrussia · 10,706
#44
Dr. Hauschka Community
@drhauschka · 1,213
#45
nemarshak
@nemarshak · 9,599
#46
Colin’s Russia
@colinsrussia · 10,011
#47
theDay | Астрология. Гороскопы. Таро
@theDay_ru · 3,261
#48

Read from Telegram’s recommendation API, most recently 17 September 2026. Telegram holds a list like this for a small and growing share of the register — how this is measured, and why most channel pages show nothing here.

Appears in Telegram’s recommendations for other channels

The reverse of the list above, and a different kind of signal. This does not require this channel to have ever been asked about directly — each row below is a channel we DID ask Telegram about, whose Telegram-generated list happened to include this one. A channel can appear here with an empty list above it, because being named by someone else’s query is independent of having been queried itself.

Математик Андрей
@matematik_andrei_channel · 966,632
Telegram ranks this channel #8 of 92 here — alongside 91 others — read 10 August 2026
matolimp
@matolimp · 31,902
Telegram ranks this channel #21 of 97 here — alongside 96 others — read 6 September 2026
Фоксфорд | Онлайн-школа
@foxford_edu · 37,458
Telegram ranks this channel #24 of 94 here — alongside 93 others — read 1 September 2026
Школа Свободных Наук
@FreeScienceSchool · 19,950
Telegram ranks this channel #35 of 87 here — alongside 86 others — read 28 September 2026
Алгоритмика
@algoritmikastudy · 35,693
Telegram ranks this channel #39 of 85 here — alongside 84 others — read 1 September 2026
Банда умников. Занятия с детьми
@banda_u · 24,437
Telegram ranks this channel #51 of 97 here — alongside 96 others — read 16 September 2026
Учу сердцем
@anna_tochka_znaniy · 50,449
Telegram ranks this channel #56 of 95 here — alongside 94 others — read 25 August 2026
Профиматика для педагогов
@profimatika_for_teachers · 29,268
Telegram ranks this channel #59 of 99 here — alongside 98 others — read 9 September 2026
Шамиль Ахмадуллин | УМНОШКОЛА
@shamilahmadullin · 177,305
Telegram ranks this channel #77 of 90 here — alongside 89 others — read 12 August 2026
УмноШкола Шамиля Ахмадуллина
@knshu23 · 66,786
Telegram ranks this channel #85 of 92 here — alongside 91 others — read 20 August 2026

This channel appears in 10 seed channels' Telegram-generated recommendation lists in total. Each is Telegram’s list for THAT channel, not this one — see how this is measured.

Cite this entry

A live page changes as we take new readings, so a citation should name the measurement it is based on, not just the URL. The line below cites the subscriber count as measured 8 November 2026 — this entry's latest reading, not the date you are reading this.

“Пифагоровы штаны” (@pifshtany), 23,629 subscribers as measured 8 November 2026. Telegram Register, tgregister.com/channel/pifshtany.

Full measurement history, CC BY 4.0. Every reading this register holds for this entry, not just the latest one, as a dated, downloadable record: CSV · JSON. Free to use with attribution to tgregister.com. Each file carries its own generation timestamp, which is the figure to cite for exactly when the data was retrieved.