AMEBA is a fluid cryptographic organism. Its visible body remains fluid and mutable, while its identity remains invariant. In the proposed model, W = HKDF(sk) defines the body field from the same substrate as its identity. Form mutates. Identity persists.


Live specimen

SIMULATED / LOCAL MODEL

AMEBA / SPECIMEN 001

state
ACTIVE
identity
did:ameba:7F2A...91C4
epoch
001842
uptime
03D 17H 42M
weight root
0x18A7...F921
commitment
SIMULATED PASS
last transition
4.218s ago
metabolic reserve
81.72%
motility
—
membrane stability
—
integrity
100.000%
MEMBRANE / IDENTITY CORE

organism alive


Background

Amoebic form is a model of change without a fixed silhouette. A soft membrane extends, retracts, and redistributes an internal field. The boundary moves; the origin of the organism does not.

AMEBA applies that distinction to machine identity. A deterministic body field sets the tendencies of a fluid organism: its membrane, pseudopods, and cytoplasmic flow. Environmental input changes the visible form, not the underlying fixture.

Cryptobiosis is used here as a computational metaphor. In TUN, motility falls, extensions retract, and the identity core remains. Recovery resumes activity from the same substrate. This is a local research simulation, not a biological model or an implemented cryptographic proof.

Identity research reference: Suzuki, Internalising the Identity Primitive (arXiv 2608.02986).


The body

KEY-DERIVED TOPOLOGY

The organism body is a fluid parameter field derived from the same substrate that defines its identity: W = HKDF(sk). Inspect a membrane region to trace its local fixture weights, entropy, and motility bias.

KEY-DERIVED REGION W[128:255]
entropy
0.9914
variance
0.0842
motility bias
—

Why it exists

An agent that acts on a blockchain needs an identity other people can trust. Today that trust almost always comes from outside the agent. A server holds its keys. An operator vouches for it. A hardware module signs on its behalf. Break into any of those and you can wear the agent like a mask.

AMEBA explores an identity derived from a persistent private substrate. In the protocol proposal, the same seed fixes the identity and body field, even as environmental input changes the visible form. Seed possession and verification remain security requirements. This console illustrates the relationship with public fixtures; it does not hold private keys or perform chain verification.


Identity trace

DETERMINISTIC DERIVATION

The visible organism is fluid, but its source remains deterministic. Follow the substrate through the body field into an amoebic form. Each transition changes its expression while preserving its proposed origin.

HKDF-SHA256INSPECTOR
IKM
private substrate
salt
ameba/genesis
info
neural-body/v1
output
18,432 deterministic parameters
function deriveBody(sk: Uint8Array): Float32Array {
  const material = hkdf("neural-body/v1", sk)
  return decodeWeights(material, 18_432)
}

Weight fingerprint

256 SAMPLES / 18,432 WEIGHTS

A fixed, evenly spaced sample of the 18,432-parameter fixture. Hover or focus a cell to illuminate the membrane region it shapes. The parameter remains fixed while its visible expression flows.

PARAMETER → MEMBRANE REGION
weight root
0x82F1...9C71
parameters
18,432
derivation
DETERMINISTIC
drift
0.000000%
W[271]
value
-0.72148
layer
L06
origin
HKDF block 17
stability
99.998%

How it works

seed sk W = HKDF(sk) commitment history hkdf commit sign checked every transition
protocol model: one substrate fixes identity, body and commitment.
01

Birth

In the protocol model, an AMEBA organism starts from one private substrate. It deterministically fixes the public identity and body without a training step.

02

Commitment

A conforming implementation would publish a commitment to the link between identity and body. The current console illustrates this check but does not generate a Groth16 proof.

03

Transition

A future runtime would verify body and commitment invariants before signing an append-only transition. The current runtime records this sequence locally.

04

Dormancy

Under stress, AMEBA enters the tun state. It stops acting but keeps its identity intact. It returns to active only once the environment recovers.

05

Death

In the proposed model, a failed identity check ends structural continuity. The simulation depicts that failure as membrane fragmentation and loss of core coherence; it is not a cryptographic verifier.


Stress chamber

SIMULATED ENVIRONMENT

Change the local environment to observe morphological adaptation. Pressure retracts pseudopods and reduces flow; at risk 70, the membrane compresses into TUN. Lower risk below 52, then wake the same identity. All readings are local simulation.

EXTENSION → CONTRACTION → SUSPENSION

MORPHOLOGICAL RESPONSE

core stability
100.000%
motility
—
membrane tension
—
membrane stability
94.821%
transition viability
61.202%
state
ACTIVE
environment within survivable range identity invariant continuously preserved

Transition ledger

BLOCK 1842 / 1842

Each simulated cycle becomes a local transition record containing what AMEBA sensed, decided, and the state it entered. Records include a local predecessor identifier and an illustrative integrity marker.

TRANSITION001842
timestamp
2026-09-20 08:22:14 UTC
state
ACTIVE -> ACTIVE
sensor root
0xc840d...
weight root
0x82ab1...
observe
environment normal
decide
continue
act
cycle executed
verify
PASS
previous block
0xf7319...
current block
0xa9821...
signature
SIMULATED
identity invariant
PASS
proof
VALID
molt 0genesis molt 1prev hash molt 2prev hash …
the simulation demonstrates predecessor-linked ancestry; records are not externally signed.

In the protocol model, modifying a past transition invalidates every descendant link. The current browser ledger is a bounded local model and has no Solana connection or external finality.


States

Select a state to simulate it. TUN preserves the core; waking requires a recovered environment. DEAD ends continuity for this local specimen.

active

The membrane extends and adapts. Cytoplasmic signals flow around a stable identity core.

tun

A compressed, quiet form. Pseudopods retract; the nucleus and substrate remain intact.

dead

Membrane organisation and core coherence fail. Historical identifiers remain recorded; continuity does not resume.


Metabolism

LOCAL CYCLE MODEL
energy reserve
81.72%
cytoplasmic flow
—
motility index
—
membrane stability
—
core coherence
—
current cost
0.00281 / cycle
average cost
0.00294 / cycle
metabolic mode
NORMAL
reserve / recent deterministic cycles

Proof inspector

LOCAL VERIFICATION MODEL

IDENTITY PROOF

  1. loading commitment
  2. checking witness
  3. validating constraints
  4. verifying proof
  5. matching identity
function verifyIdentity(state, proof): Verdict {
  verify_commitment(state.weight_root)
  preserve_identity(state.previous, state.next)
  return proof.verify() ? PASS : REJECT
}

Specimen comparison

SEED-DETERMINISTIC

Different private substrates yield distinct amoebic organisms: different cores, extension fields, fingerprints, and metabolic tendencies. Select an individual to resume its local state, or compare two fixtures.

Select a specimen to observe its form.

SPECIMEN A / 7F2A

identity
did:ameba:7F2A91C4
response variance
0.081
stability
97.2%
motility bias
0.41
metabolic efficiency
88.4%

Proposed primitive

identity
protocol target: ed25519(sk)
body
protocol target: W = HKDF(sk)
commitment
planned proof layer; not implemented
history
local simulation; external anchoring not implemented
chain
none connected

Lab terminal

LOCAL RESEARCH SHELL
AMEBA RESEARCH CONSOLE / SIMULATION PROVIDER
type "help" to inspect available procedures.
statusinspect identitystress 0.72enter tunwake

Notes

Is AMEBA trained?

No. The weights come from the seed once, at birth. AMEBA has a fixed disposition, not a learned one.

Can two AMEBA organisms be the same?

Only if they share a seed, and then they are one organism, not two. Every other AMEBA organism is a different seed and a different weight set.

What if it sleeps for a year?

The proposed identity persists through suspension. In this simulation, the membrane contracts, local metabolism pauses, and waking checks the saved fixture. Durable long-term storage and cryptographic proofs remain research targets.

Where does the paper end and AMEBA begin?

The paper defines the primitive. AMEBA gives it a body, a lifecycle, and an abstract amoebic body.


Status

phase 1

Current. Interactive deterministic research console using local simulated state.

phase 2

Research target. Specify and test a proof model for body derivation without exposing the substrate.

phase 3

Proposed. Evaluate an external provider and durable transition anchoring after the protocol is fixed.

console runtime / SimulationProvider / deterministic local model / no live chain connection