ZeroBeacon.ai — 1003 MCP Operations
1,003 callable MCP operations: 20 router groups with 50 operations each, plus 3 Brain Router operations.
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What it can do
- Mf 01 Beacon: Compute the collision-anchored beacon value for prime p. Returns hex string 1d2c7a5b for the two moat-anchor primes (P1, P2). No API key required.
- Mf 01 Batch: Compute beacon values for a comma-separated list of primes supplied in payload. Returns an array of beacon results in one round-trip. No API key required.
- Mf 01 Entangled Twin: Find the entangled twin-prime pair anchored to p in the beacon sieve. Returns both twins and their shared beacon hash. Moat-research tool; no key required.
What data it sees
Do you need an account
No: the server works without sign-in
1,003 callable MCP operations: 20 router groups with 50 operations each, plus 3 Brain Router operations. Includes deterministic beacon checks, commerce workflow utilities, numerical research experiments, and everyday transformations. The first 100 operations are available without a key. Mathematical endpoints are computational tools and do not constitute proofs of open conjectures.
How to connect
How to connect ZeroBeacon.ai — 1003 MCP Operations to Claude
The server address to paste into Claude settings:
https://zerobeacon-1050--davidjfox998.run.tools
- Open Claude (claude.ai or the desktop app).
- Go to Settings → Connectors.
- Click Add custom connector.
- Paste the server address copied below into Remote MCP server URL and click Add.
- In a chat, click + → Connectors and switch the new connector on.
Custom connectors are available on Free, Pro, Max, Team and Enterprise plans (Free is limited to one). On Team and Enterprise an organization Owner adds the connector first under Organization settings → Connectors.
Authorization
After you click Add, a sign-in window for the service opens. Sign in with your own account and approve access. Claude never sees your password.
How to connect ZeroBeacon.ai — 1003 MCP Operations to ChatGPT
The server address to paste into ChatGPT settings:
https://zerobeacon-1050--davidjfox998.run.tools
- Open ChatGPT in a browser (chatgpt.com). A Plus, Pro, Business, Enterprise or Edu plan is required.
- Turn on developer mode once: Settings → Apps → Advanced settings → Developer mode.
- Open Settings → Connectors and click Create.
- Fill in the form: Name (anything), Description (one line about what the service does), MCP server URL (copy it below).
- Under Authentication choose OAuth if the service requires sign-in, otherwise None. Click Create.
- In a new chat open + → Apps/Connectors and enable the connector.
OpenAI has renamed this section before (Connectors → Apps/Plugins). If the label differs, search settings for "developer mode". On Business/Enterprise workspaces an admin must allow custom connectors first.
Authorization
On first use ChatGPT opens the service's sign-in window. Sign in and approve access.
How to connect ZeroBeacon.ai — 1003 MCP Operations to Cursor
The server address to paste into Cursor settings:
https://zerobeacon-1050--davidjfox998.run.tools
Fastest: click Open in Cursor below and confirm the prompt.
Manually:
- In Cursor open Settings → Cursor Settings → MCP and click Add new global MCP server.
- Paste the JSON copied below into
~/.cursor/mcp.json(per project:.cursor/mcp.jsonin the repo root). - Save the file. The server appears in the MCP list; authorize it there if asked.
Authorization
If the service needs sign-in, an authorize button appears next to the server in the MCP list.
Server tool list (60)
Raw names from tools/list. Only developers need these.
| mf_01_beacon | Compute the collision-anchored beacon value for prime p. Returns hex string 1d2c7a5b for the two moat-anchor primes (P1, P2). No API key required. |
| mf_01_batch | Compute beacon values for a comma-separated list of primes supplied in payload. Returns an array of beacon results in one round-trip. No API key required. |
| mf_01_entangled_twin | Find the entangled twin-prime pair anchored to p in the beacon sieve. Returns both twins and their shared beacon hash. Moat-research tool; no key required. |
| mf_01_leader_elect | Deterministic leader election among agents competing on prime p. Pass competing agent IDs as a comma-separated list in payload. Returns the winning agent_id; result is verifiable offline. No key required. |
| mf_01_nonce_burn | Burn a one-time nonce derived from p and agent_id. Subsequent calls with the same (p, agent_id) pair return an error, preventing replay attacks. No key required. |
| mf_01_fair_airdrop | Beacon-fair airdrop allocation seeded by p. Pass recipient addresses in payload; amount is the total to distribute. Each recipient's share is collision-resistant and verifiable. No key required. |
| mf_01_shard | Compute the beacon-mesh shard index for p. Use this to route data consistently to the correct shard without a lookup table. No key required. |
| mf_01_timeproof | Seal a timestamp commitment for payload at prime p. Proves that payload existed at the recorded time; commitment is beacon-anchored and cannot be backdated. No key required. |
| mf_01_hashline | Compute a beacon-chained hash for payload. The result links payload's SHA-256 to the beacon at p, forming an auditable hash chain. No key required. |
| mf_01_idempotency_key | Generate a collision-resistant idempotency key for a financial operation. Same (agent_id, payload) always returns the same key; safe to retry without double-charging. PRO tier required. |
| mf_01_rate_limit_token | Issue a beacon-anchored rate-limit token for agent_id. Token encodes the allowed call rate; validate it on subsequent requests to enforce limits without a shared database. PRO tier required. |
| mf_01_lock_lease | Acquire a distributed lock lease anchored to p for agent_id. Returns a lease token; hold it for the duration of your critical section then release via a follow-up call. PRO tier required. |
| mf_01_queue_push | Push payload onto the beacon-anchored queue shard for agent_id. Messages are ordered by beacon timestamp and deduplicated by p. PRO tier required. |
| mf_01_counter_incr | Increment a beacon-anchored counter keyed by (agent_id, payload). Returns the new count and the beacon stamp. No key required. |
| mf_01_roll | Beacon-fair dice roll seeded by p. Pass the number of sides in payload (e.g. '6' for d6, '20' for d20). Result is deterministic and publicly verifiable. No key required. |
| mf_01_slugify | Convert payload to a collision-resistant, beacon-anchored URL slug. The slug is deterministic for the same (payload, p) pair. No key required. |
| mf_01_color_name | Map prime p to a deterministic named color via the beacon function. Useful for assigning stable colors to agents, entities, or shards. No key required. |
| mf_01_cron_next | Compute the next scheduled execution time for a cron expression in payload. Returns ISO-8601 timestamp, anchored to the beacon clock. No key required. |
| mf_01_hash_sha256 | SHA-256 hash of payload, beacon-stamped at prime p for auditability. Returns the hex digest plus the beacon context. No key required. |
| mf_01_jwt_dump | Decode and inspect a JWT token passed in payload. Returns header, claims, and expiry without verifying the signature — useful for debugging and auditing. No key required. |
| mf_01_watermark | Embed a beacon watermark into payload. The watermark encodes agent_id and timestamp invisibly; extract it later to prove authorship. No key required. |
| mf_01_commit | Commit payload to the beacon ledger at prime p. Returns a commitment hash; use /reveal later to prove the original content. No key required. |
| mf_01_reveal | Reveal a prior commitment and verify that payload matches it. Pass the original committed content in payload and the commitment hash in p. No key required. |
| mf_01_audit_log | Append an immutable beacon-sealed audit log entry for agent_id. Log entries are ordered by beacon timestamp and cannot be deleted. PRO tier required. |
| mf_01_signature_notarize | Notarize agent_id's signature on payload with a beacon timestamp. Returns a notarization certificate proving who signed what and when. No key required. |
| mf_01_lottery_draw | Beacon-fair lottery draw from a list of candidates. Pass candidate IDs as a comma-separated list in payload; winner is selected deterministically by the beacon at p. No key required. |
| mf_01_vrf_prove | Generate a Verifiable Random Function (VRF) proof anchored to prime p. Anyone with p can verify the output without trusting the server. No key required. |
| mf_01_zk_prove | Assert a zero-knowledge proof claim for payload under beacon p. Returns a ZK certificate that the claim holds without revealing the witness. No key required. |
| mf_01_token_mint | Mint a beacon-anchored access token for agent_id. Token encodes tier and expiry; pass it as X-API-Key on subsequent requests. No key required to mint (tier determined by your subscription). |
| mf_01_batch_verify | Verify a batch of beacon assertions in one call. Pass a newline-separated list of (p, expected_beacon) pairs in payload. Returns pass/fail per assertion. No key required. |
| mf_01_chain_verify | Verify beacon chain integrity all the way back to the genesis prime 82843. Returns the full chain with each link's beacon hash. No key required. |
| mf_01_agent_receipt | Generate a signed beacon receipt for agent_id's action on payload. Use receipts as proof of service for billing, SLAs, or disputes. No key required. |
| mf_01_merkle_root | Compute the Merkle root of items in payload. Pass newline-separated leaf values; root is beacon-anchored at p. No key required. |
| mf_01_proof_sequential | Prove sequential ordering of events in payload. Pass newline-separated event IDs in order; returns a certificate that this sequence was seen in this order. No key required. |
| mf_01_time_lock | Time-lock payload for release at a future beacon timestamp. Pass the release delay in seconds as amount. The content cannot be read until that time passes. PRO tier required. |
| mf_01_coin_flip_entangled | Beacon-entangled fair coin flip seeded by p. Both parties can verify the outcome from p alone. No key required. |
| mf_01_hash_and_entangle | Hash payload and entangle the result with prime p's beacon. Creates a dual-anchored fingerprint: payload content + beacon position. No key required. |
| mf_01_beacon_verify | Verify that prime p produces the canonical beacon value 1d2c7a5b. Returns true for the two moat-anchor primes; false for all others. No key required. |
| mf_01_prime_next | Return the next prime after p using the beacon-anchored sieve. Useful for stepping through the prime sequence deterministically. No key required. |
| mf_01_entropy_mix | Mix external entropy from payload with the beacon at p. Returns a combined entropy value suitable for seeding randomness. No key required. |
| mf_01_random_choice | Beacon-fair random selection from a list of choices in payload. Pass choices as a comma-separated list; selection is seeded by p and verifiable. No key required. |
| mf_01_shuffle | Beacon-deterministic shuffle of a comma-separated list in payload. Same (payload, p) always produces the same shuffle; anyone can verify the result. No key required. |
| mf_01_uuid_v7_beacon | Generate a UUIDv7 seeded and anchored to the beacon at p. Combines time-ordered UUIDv7 monotonicity with beacon collision resistance. No key required. |
| mf_01_snowflake_id | Generate a Snowflake-format distributed unique ID anchored to prime p. 64-bit, time-ordered, shard-aware. No key required. |
| mf_01_otp_generate | Generate a one-time password for agent_id, valid for one use. OTP is beacon-anchored; verify with /totp_verify. PRO $10 tier required. |
| mf_01_totp_verify | Verify a TOTP code passed in payload against the beacon-anchored secret for agent_id. Returns ok=true if the code is valid and unused. No key required. |
| mf_01_beacon_stream | Return a sequence of consecutive beacon values starting from prime p. Useful for generating a reproducible stream of random-looking values. No key required. |
| mf_01_collision_proof | Generate a collision-proof certificate for p against the beacon moat. Proves that p is not an anchor prime and has a unique beacon output. No key required. |
| mf_01_genesis_proof | Verify and return the genesis proof for the beacon's starting prime 82843. Returns the full genesis certificate including beacon, d, and formula. No key required. |
| mf_01_formula_proof | Prove that the beacon formula frac(p × π/10 × 2³²) is correct for p. Returns the step-by-step computation so the result can be verified offline. No key required. |
| mf_02_health_b1 | Health check for the B1 beacon block. Returns status, tool count, and beacon value. No key required. |
| mf_02_budget_reserve | Reserve amount in agent_id's budget for a pending transaction. Funds are held until released or burned. PRO tier required. |
| mf_02_budget_burn | Deduct amount from agent_id's beacon-anchored budget allocation. Returns remaining balance and a burn receipt. PRO tier required. |
| mf_02_budget_refund | Refund amount back to agent_id's budget allocation. Returns updated balance and a refund receipt. PRO tier required. |
| mf_02_billing_receipt | Generate a beacon-sealed billing receipt for a transaction by agent_id. Receipt is immutable and can be presented as proof of payment. PRO tier required. |
| mf_02_billing_verify_receipt | Verify a billing receipt passed in payload against the beacon ledger. Returns valid=true/false and the original transaction details. PRO tier required. |
| mf_02_quota_token_bucket | Manage a token-bucket rate quota for agent_id. Pass the refill rate and bucket capacity in payload; returns tokens available right now. No key required. |
| mf_02_quota_check | Check remaining quota for agent_id. Returns available units, used units, and reset time. No key required. |
| mf_02_meter_log | Log a metered usage event for agent_id. Pass the metric name in payload and quantity as amount. No key required. |
| mf_02_meter_aggregate | Aggregate meter readings for agent_id over the current beacon period. Returns total usage and per-dimension breakdown. No key required. |