Pith Number

pith:RI56Q7VI

pith:2026:RI56Q7VI6KGT64HXSK7TLNDKFL

not attested not anchored not stored refs pending

Scaling LLM Knowledge Boundaries via Distribution-Optimized Synthesis

Chengtao Gan, Enpei Niu, Huajun Chen, Jingdian Lu, Jun Zhou, Lei Liang, Liangyurui Liu, Menghao Qian, Songze Li, Wen Zhang, Xiangjin Hu, Xiaoke Guo, Yarong Lan, Yuanxiang Liu, Yuan Yuan, Zhaoyan Gong, Zhaoyang Wang, Zhiqiang Liu, Zhongpu Bo

arxiv:2606.23271 v1 · 2026-06-22 · cs.CL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RI56Q7VI6KGT64HXSK7TLNDKFL}

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	2026-06-23T03:14:15.423679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a3be87ea8f28d3f70f792bf35b46a2af8672918d66d221056d17f75cc920fb2

Aliases

arxiv: 2606.23271 · arxiv_version: 2606.23271v1 · doi: 10.48550/arxiv.2606.23271 · pith_short_12: RI56Q7VI6KGT · pith_short_16: RI56Q7VI6KGT64HX · pith_short_8: RI56Q7VI

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/RI56Q7VI6KGT64HXSK7TLNDKFL \
  | 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: 8a3be87ea8f28d3f70f792bf35b46a2af8672918d66d221056d17f75cc920fb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9ff1bb6735cc264e21db9f16a0740e648ca4c338c26e8d5163957cbb701c875",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CL",
    "submitted_at": "2026-06-22T12:50:00Z",
    "title_canon_sha256": "5216427425dcb0690b3a65cdacadda5502df32a8b0f3d51e67e5fa8c668ef078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23271",
    "kind": "arxiv",
    "version": 1
  }
}