Pith Number

pith:43K5LMY3

pith:2026:43K5LMY3ARM55JOIZSZVI32VBG

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Diffusion Crossover: Defining Evolutionary Recombination in Diffusion Models via Noise Sequence Interpolation

Chisato Kumada, Satoru Hiwa, Tomoyuki Hiroyasu

Diffusion models support evolutionary crossover by applying spherical interpolation to parent noise sequences in the reverse process.

arxiv:2604.14790 v2 · 2026-04-16 · cs.AI

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\pithnumber{43K5LMY3ARM55JOIZSZVI32VBG}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

By applying spherical linear interpolation (Slerp) to the noise sequences associated with selected parent images, the proposed method generates offspring that inherit characteristics from both parents while preserving the geometric structure of the diffusion process.

C2weakest assumption

That step-wise interpolation of noise sequences in the DDPM reverse process produces offspring images that are semantically meaningful and useful for evolutionary recombination, rather than arbitrary blends that fail to preserve parental traits in a controllable way.

C3one line summary

Diffusion crossover formulates evolutionary recombination as step-wise spherical linear interpolation of noise sequences in the DDPM reverse process to generate semantically consistent offspring from parent images.

Receipt and verification

First computed	2026-07-01T01:17:50.536027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6d5d5b31b0459dea5c8ccb3546f55099d5e90920e28eef1bc7662e912d4deeb

Aliases

arxiv: 2604.14790 · arxiv_version: 2604.14790v2 · doi: 10.48550/arxiv.2604.14790 · pith_short_12: 43K5LMY3ARM5 · pith_short_16: 43K5LMY3ARM55JOI · pith_short_8: 43K5LMY3

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/43K5LMY3ARM55JOIZSZVI32VBG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e6d5d5b31b0459dea5c8ccb3546f55099d5e90920e28eef1bc7662e912d4deeb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39a3186d10f89a34782264ad47c6426083715d68a82e5707dcd6a286f119c9d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-04-16T08:50:57Z",
    "title_canon_sha256": "a7049d81fc3c4bd69f939cc597b54bb421e6d637376bddc3124276692479db96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.14790",
    "kind": "arxiv",
    "version": 2
  }
}