Pith Number

pith:2YKDWBE6

pith:2026:2YKDWBE65TKRJU4JGTKJ5QKS2N

not attested not anchored not stored refs pending

On the Robustness of Distribution Support under Diffusion Guidance

Nisha Chandramoorthy, Ruijia Cao, Yuchen Wu

Guided diffusion processes keep samples close to the target support when given exact score functions.

arxiv:2605.07220 v2 · 2026-05-08 · cs.LG

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\usepackage{pith}
\pithnumber{2YKDWBE65TKRJU4JGTKJ5QKS2N}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

we show that, given exact access to the score functions, guided diffusion processes almost always generate samples that remain close to the target support.

C2weakest assumption

The analysis requires exact access to the score functions of the diffusion process and applies specifically to discretization schemes induced by exponential integrators for DDIM and DDPM.

C3one line summary

Guided diffusion generates samples near the target distribution support under exact score access, explaining its empirical success in producing plausible outputs.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-25T02:01:22.627199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6143b049eecd514d38934d49ec152d359f1e4bf936aded267ceae9bdc2cc542

Aliases

arxiv: 2605.07220 · arxiv_version: 2605.07220v2 · doi: 10.48550/arxiv.2605.07220 · pith_short_12: 2YKDWBE65TKR · pith_short_16: 2YKDWBE65TKRJU4J · pith_short_8: 2YKDWBE6

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/2YKDWBE65TKRJU4JGTKJ5QKS2N \
  | 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: d6143b049eecd514d38934d49ec152d359f1e4bf936aded267ceae9bdc2cc542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0470d06e416f170dacb8986b677637b9bc84ad6683d9452b4c07199c730ca123",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-08T04:12:02Z",
    "title_canon_sha256": "c2aca92d63fd5a15aeb5fd39dde77f64527924e8253646a4d9b255ad1ec2aef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.07220",
    "kind": "arxiv",
    "version": 2
  }
}