Pith Number

pith:NDJEEPKI

pith:2026:NDJEEPKI2UMKEENQP4M4BQDZHZ

not attested not anchored not stored refs pending

Training-Free Looped Transformers

Chen Liang, Jonathan Li, Lizhang Chen, Ni Lao, Qiang Liu

arxiv:2605.23872 v1 · 2026-05-22 · cs.LG · cs.NA · math.NA · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NDJEEPKI2UMKEENQP4M4BQDZHZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

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.

Receipt and verification

First computed	2026-05-25T02:02:37.026199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68d2423d48d518a211b07f19c0c0793e7deecd3b550875f4e1a6a4e86e7819d9

Aliases

arxiv: 2605.23872 · arxiv_version: 2605.23872v1 · doi: 10.48550/arxiv.2605.23872 · pith_short_12: NDJEEPKI2UMK · pith_short_16: NDJEEPKI2UMKEENQ · pith_short_8: NDJEEPKI

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/NDJEEPKI2UMKEENQP4M4BQDZHZ \
  | 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: 68d2423d48d518a211b07f19c0c0793e7deecd3b550875f4e1a6a4e86e7819d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc3ea13304781cd71cc795fd62b65fff8085b11bb3f994bed66cc081c3a419ba",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-22T17:31:16Z",
    "title_canon_sha256": "e94a9ac1d2b5c7aba1c18e9d200c11bc69f29ab8f2b2af8a4cffbf9c4d19632e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23872",
    "kind": "arxiv",
    "version": 1
  }
}