Neverness to Everness (NTE) packs most of its long-term progression into a tight weekly loop that resets every Monday at 5:00 AM server time (UTC+8 on Asia, with America and Europe shifting to local equivalents). Clearing the full set each week feeds Fons, Esper Ability materials, Beetle Coins, and rare auction-only items that you cannot recover after the timer rolls over. The list below covers every weekly activity in the game, what unlocks it, and how to finish it cleanly.
Quick answer: Each week, clear three Anomaly Pilgrimage runs (Never-Ending Arachne and Morphix), drain your City Stamina on Hethereau Hobbies, bid at Ebisu's Auction House in The Kape, run Realm of Greed via Blind Mammon, accept the Special City Commission from your Old Mailbox, complete Pink Paws Heist for up to 1,000,000 Fons, and finish your weekly Circle Bounty (battle pass) quests before the Monday 5:00 AM reset.

Weekly reset window and how to verify it
The weekly reset shares the same clock as the daily reset, but only fires on Mondays at 5:00 AM server time. Asia uses UTC+8, America uses EST, and Europe uses BST or CET equivalents. The simplest check is your City Stamina bar, which appears next to the city map icon in the upper-left of the screen. If it has refilled to its full cap, the weekly reset has already triggered for your server.
You can also confirm the timer from the Exploration Guide. Open it from the in-game smartphone or press F1 on PC, then look at the lower-right corner of the daily task list for the countdown.
Weekly activity overview
| Activity | Cap per week | Unlock requirement | Primary reward |
|---|---|---|---|
| Anomaly Pilgrimage (Never-Ending Arachne) | 3 reward claims | Finish "Deal? Deal!" main quest | Esper Ability materials, Dress Sleeves of Vanity |
| Anomaly Pilgrimage (Morphix) | Shared 3-claim pool | Finish Pawn Moonlight Episode | Esper Ability materials, Good Boy Stamp |
| City Stamina (Hethereau Hobbies) | Full bar to spend | Unlock City Tycoon | ~1,000 Fons per 1 Stamina |
| Ebisu's Auction House | 1 inventory refresh | Finish "Deal? Deal!" / Chapter 3 | Gluttonous Eye, Covetous Coins, Good Boy Stamp |
| Realm of Greed (Blind Mammon) | 1 reward claim | Finish Yarn Ball or Fons commission, own a property, buy Gluttonous Eye | Up to 45,000+ Fons (scales with Mammon level) |
| Special City Commission | 1 reward claim | Own second apartment, complete first City Delivery | Fons (scales with Old Mailbox level) |
| Pink Paws Heist | Cap of 1,000,000 Fons | City Tycoon Level 10 | Fons, Beetle Coins, Mammon encounter |
| Circle Bounty weekly quests | All weekly missions | Battle pass active | Battle pass EXP, Annulith, summons |

Anomaly Pilgrimage (weekly bosses)
Anomaly Pilgrimage is the highest-priority weekly because it drops the Esper Ability upgrade materials that gate every character's late-game power spike. There are currently two bosses in the rotation: The Never-Ending Arachne and Morphix. The reward pool is shared, so you get three reward claims total per week, not three per boss.
Step 1: Unlock the bosses through the main story. The Never-Ending Arachne becomes available after the "Deal? Deal!" Episode, accessed at the Ebisu Auction House door in the New Herland District. Morphix unlocks after the Pawn Moonlight Episode and is fought at the Green Wall Slope door in Bridge Crossings.
Step 2: Open Anomaly Pilgrimage from the menu, pick the boss, and choose the highest difficulty you can clear. Difficulty does not change the claim cap, but higher tiers give better materials.
Step 3: Defeat the boss, then spend 60 Character Pixels to claim the reward. Repeat up to three times across either boss. The window closes at the Monday reset.

City Stamina and Hethereau Hobbies
City Stamina refills to full at the Monday reset and does not carry over, so any unspent points are lost. Each point of Stamina converts to roughly 1,000 Fons regardless of which Hethereau Hobby you pick, which means you can play whatever you enjoy without losing efficiency. Performing well in a minigame lets you spend more Stamina per attempt, which mostly saves real-world time.
The Hobby roster includes Racing (City Tycoon Level 2), Swift Travel (Level 3), Sea Angler, Little Sparrow, Owner's Selection (after the second coffee shop), and City Delivery. Leveling City Tycoon raises your Stamina cap and unlocks more Hobbies, which compounds your weekly Fons output.
Ebisu's Auction House at The Kape
The Auction House inventory refreshes weekly, and several items, including the Gluttonous Eye and Covetous Coins required for Mammon, are exclusive to this venue. Some weeks also list the Good Boy Stamp for skill upgrades.
Step 1: Finish the "Deal? Deal!" main quest to unlock The Kape. Teleport to the Never-Ending Arachne marker in the New Herland District and pick The Kape option.

Step 2: Talk to Iris inside, let her teleport you to the auction room, then interact again to join the live auction.
Step 3: Outbid the NPCs on the items you need. Bids cost Fons, so prioritize Mammon upgrade materials first. If the listings are not useful, you can manually refresh the pool.

Realm of Greed (Blind Mammon)
The Realm of Greed is the home-instance fight against Mammon and pays out a large Fons lump sum once per week. The payout scales with the Blind Mammon plushie's level, so upgrading it directly increases your weekly income.

Step 1: Complete the Yarn Ball or Fons Anomaly Commission, accessed from the Anomaly Commissions screen on the map. This unlocks the Blind Mammon plushie reward.
Step 2: Own a property (the first apartment is enough) so the Blind Mammon furniture can be placed at home. Then buy the Gluttonous Eye at Ebisu's Auction House to activate it, plus Covetous Coins to raise its level.
Step 3: Interact with the activated Blind Mammon, choose "Enter Realm of Greed," and defeat Mammon before the on-screen timer expires. If the timer runs out, the Fons earned during the run are forfeited.

Special City Commission (Old Mailbox)
The Old Mailbox in your second apartment delivers a once-per-week Fons bounty that does not consume City Stamina. The reward scales with the Mailbox's furniture level, so upgrade it before accepting the commission to lock in the highest payout.
Step 1: Purchase the second apartment (commonly the Eden or Wiener Apartments path) and complete your first standard City Delivery to activate the Mailbox.
Step 2: Interact with the Old Mailbox at home and accept the Special City Commission. Complete the short delivery or task it generates, then return to claim the Fons. The reward is gated to a single claim per week.
Pink Paws Heist
Pink Paws Heist is a Hethereau Hobby that unlocks at City Tycoon Level 10 and pays out up to 1,000,000 Fons per week. The mode drops you into a multi-level bank with a 15-minute timer to loot money and valuables, and the deeper floors hold richer loot but tougher enemies and a tighter extraction window. The final boss encounter inside the heist is Mammon, which doubles as a separate Fons source on top of the standard Realm of Greed claim.
The 1,000,000 Fons cap is the weekly ceiling. Once you hit it, additional runs do not pay out the heist bonus, so plan one or two strong runs rather than many short ones.

Circle Bounty weekly quests (battle pass)
Circle Bounty is the battle pass system in NTE. It contains daily, weekly, and seasonal quests that all feed into the same EXP track. The weekly missions reset alongside everything else on Monday and award the bulk of your battle pass EXP outside of the daily login chunk. Reaching at least Level 50 unlocks the last major reward tier, which includes summons, and levels beyond that drop Beetle Coins and Fons.
Hit the weekly EXP cap if your version of the pass exposes one, and clear the seasonal missions in parallel since they do not refresh weekly and tend to require longer-term goals like cumulative damage or commission counts.
Recommended weekly order
Run the activities in dependency order so unlocks chain into each other. Start with Anomaly Pilgrimage on Monday morning while your Character Pixels are full, since Esper materials are the rarest weekly drop. Then drain City Stamina on whichever Hethereau Hobby you prefer for the Fons base. Visit Ebisu's Auction House next to lock in the Gluttonous Eye or Covetous Coins, run Realm of Greed at home, accept the Special City Commission, and finish with Pink Paws Heist to push toward the 1,000,000 Fons weekly cap. Circle Bounty weeklies tend to complete passively while you do the rest.
Missing one or two weeks will not break your account, but the Esper material claims and the Pink Paws cap are the two losses that compound the fastest. If you only have time for a short session, prioritize those two and let the rest fill in around your daily play.