Pith Number

pith:LZYS5Y2N

pith:2026:LZYS5Y2NGOD76NSOMOLEKW2HQ4

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Reasoning on the Manifold: Bidirectional Consistency for Self-Verification in Diffusion Language Models

Guanghao Li, Hengyu Zeng, Jian Pu, Jiaoyang Ruan, Jie Fu, Liang Du, Xin Gao, Yinda Chen

Diffusion language models can verify their own reasoning by measuring how stable generated sequences remain under a forward-masking and backward-reconstruction cycle on the learned manifold.

arxiv:2604.16565 v3 · 2026-04-17 · cs.LG · cs.AI

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\pithnumber{LZYS5Y2NGOD76NSOMOLEKW2HQ4}

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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

Our results establish intrinsic geometric stability as a robust indicator of correctness for dLLMs.

C2weakest assumption

Valid generation trajectories reside as stable attractors on the high-density manifold of the learned distribution, and the forward-masking backward-reconstruction cycle accurately quantifies this stability as a proxy for correctness.

C3one line summary

Bidirectional Manifold Consistency (BMC) is a geometric, training-free metric that quantifies stability of reasoning trajectories in diffusion LLMs to enable self-verification, rejection sampling, and alignment without ground truth.

Receipt and verification

First computed	2026-05-28T02:04:47.980747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e712ee34d3387ff364e6396455b47873837b572eb67bb677b205690ee447ad1

Aliases

arxiv: 2604.16565 · arxiv_version: 2604.16565v3 · doi: 10.48550/arxiv.2604.16565 · pith_short_12: LZYS5Y2NGOD7 · pith_short_16: LZYS5Y2NGOD76NSO · pith_short_8: LZYS5Y2N

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LZYS5Y2NGOD76NSOMOLEKW2HQ4 \
  | 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: 5e712ee34d3387ff364e6396455b47873837b572eb67bb677b205690ee447ad1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca0d68b4cc54b8bef24b861f412c993ea74f64ec3962751313e1980d92074ca4",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-04-17T10:17:16Z",
    "title_canon_sha256": "b3efce7e3030e59293df698065a15bb60510f6d3c385101269500421119326cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.16565",
    "kind": "arxiv",
    "version": 3
  }
}