Pith Number

pith:YL3LKNA6

pith:2026:YL3LKNA6DW72BNWMQ2SXGAEIWM

not attested not anchored not stored refs pending

When Does Recurrence Become an Algorithm? Convergence Selection in Weight-Tied Looped Transformers

Junhao Hu, Tao Xie, Tong Zhang, Yun Peng

arxiv:2607.20594 v1 · 2026-07-22 · cs.LG · cs.AI · 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{YL3LKNA6DW72BNWMQ2SXGAEIWM}

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	2026-07-24T00:23:24.449585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f6b5341e1dbfa0b6cc86a5730088b32434054d152bfef6834a53b7030d9639

Aliases

arxiv: 2607.20594 · arxiv_version: 2607.20594v1 · doi: 10.48550/arxiv.2607.20594 · pith_short_12: YL3LKNA6DW72 · pith_short_16: YL3LKNA6DW72BNWM · pith_short_8: YL3LKNA6

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/YL3LKNA6DW72BNWMQ2SXGAEIWM \
  | 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: c2f6b5341e1dbfa0b6cc86a5730088b32434054d152bfef6834a53b7030d9639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4ff7d17b30138081696b4bd9b5b7a7907d5cadb6b0582edd3ba10ff93acbfba",
    "cross_cats_sorted": [
      "cs.AI",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-22T16:04:31Z",
    "title_canon_sha256": "574cf7962a95a7abf650ef1500b772095836fda49352c3bbe8afde16ad3ab122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20594",
    "kind": "arxiv",
    "version": 1
  }
}