Pith Number

pith:YD6GZVTP

pith:2026:YD6GZVTPBAB3MWU2TDRTAR7WJK

not attested not anchored not stored refs resolved

Noise scheduling and linear dynamics in diffusion models on Lie groups

Javad Komijani

A specific noise schedule in Lie group diffusion makes the Wilson action expectation decay linearly with time.

arxiv:2605.17326 v1 · 2026-05-17 · hep-lat

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\usepackage{pith}
\pithnumber{YD6GZVTPBAB3MWU2TDRTAR7WJK}

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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

A specific noise schedule leads to a linear decay of the expectation value of the Wilson action as a function of diffusion time in diffusion processes on Lie groups.

C2weakest assumption

The diffusion process is defined directly on the Lie group manifold with the chosen noise schedule, and the Wilson action remains a well-defined observable whose expectation value can be tracked linearly without additional corrections from the group structure or discretization.

C3one line summary

A specific noise schedule in Lie-group diffusion models yields linear decay of the Wilson action expectation value versus diffusion time, emerging naturally without an added drift term.

References

11 extracted · 11 resolved · 5 Pith anchors

[1] Gardiner, Crispin W. , title =. 1985 , edition = 1985

[2] Score-Based Generative Modeling through Stochastic Differential Equations 2020 · arXiv:2011.13456

[3] Denoising Diffusion Probabilistic Models 2020 · arXiv:2006.11239

[4] Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow 2022 · arXiv:2209.03003

[5] Flow Matching for Generative Modeling 2022 · arXiv:2210.02747

Receipt and verification

First computed	2026-05-20T00:03:52.247980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0fc6cd66f0803b65a9a98e33047f64a9986e7e3829a1ffb5a02c796bf3499a5

Aliases

arxiv: 2605.17326 · arxiv_version: 2605.17326v1 · doi: 10.48550/arxiv.2605.17326 · pith_short_12: YD6GZVTPBAB3 · pith_short_16: YD6GZVTPBAB3MWU2 · pith_short_8: YD6GZVTP

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YD6GZVTPBAB3MWU2TDRTAR7WJK \
  | 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: c0fc6cd66f0803b65a9a98e33047f64a9986e7e3829a1ffb5a02c796bf3499a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e867cdaec8a4a4187ccf3aff645a8831932766659323518afcf18fb8ed9a235",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2026-05-17T08:34:31Z",
    "title_canon_sha256": "8f0650f3da75ed613ff06334de416b0bd2b51eeaa8e2ec39f2d016d4afa7be7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17326",
    "kind": "arxiv",
    "version": 1
  }
}