Pith Number

pith:S232JPYP

pith:2026:S232JPYPJ5QGYOYOP3WAO2456C

not attested not anchored not stored refs pending

DeepLoop: Depth Scaling for Looped Transformers

Jiacheng Guo, Mengdi Wang, Quanquan Gu, Shuzhen Li, Yifan Zhang

arxiv:2607.13491 v1 · 2026-07-15 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S232JPYPJ5QGYOYOP3WAO2456C}

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	2026-07-16T01:22:15.668667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96b7a4bf0f4f606c3b0e7eec076b9df0875b4f665d36d10b674ccd6cdf30734e

Aliases

arxiv: 2607.13491 · arxiv_version: 2607.13491v1 · doi: 10.48550/arxiv.2607.13491 · pith_short_12: S232JPYPJ5QG · pith_short_16: S232JPYPJ5QGYOYO · pith_short_8: S232JPYP

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/S232JPYPJ5QGYOYOP3WAO2456C \
  | 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: 96b7a4bf0f4f606c3b0e7eec076b9df0875b4f665d36d10b674ccd6cdf30734e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "979e99954ec162f743bbe5ea6f8a202c8eff8ec04c070fc463e81f6d76ff9e2f",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-15T06:37:05Z",
    "title_canon_sha256": "41ede8a58ad6c97fb96e837cc6d0a6008c287bda18893d6890ba0994e3ef590a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13491",
    "kind": "arxiv",
    "version": 1
  }
}