Pith Number

pith:F75A6PKK

pith:2026:F75A6PKKLT73R2QWYL3UZTT375

not attested not anchored not stored refs pending

ComBench: A Benchmark for Rigorous Proof Reasoning and Constructive Realization in Olympiad-Level Combinatorics

Bangjie Xu, Dongrui Liu, Haodi Lei, Haoran Zhang, Ning Ding, Qianjia Cheng, Runzhe Zhan, Shunkai Zhang, Xiaoye Qu, Xinmiao Han, Yafu Li, Yizhuo Li, Yu Cheng, Yucheng Su, Yun Luo, Yu Qiao, Zhilin Wang, Zhouchen Lin

arxiv:2606.10479 v1 · 2026-06-09 · 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{F75A6PKKLT73R2QWYL3UZTT375}

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	2026-06-10T01:10:21.408893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ffa0f3d4a5cffb8ea16c2f74cce7bff7946f2f937e3a68398f9702fd59cd2ef

Aliases

arxiv: 2606.10479 · arxiv_version: 2606.10479v1 · doi: 10.48550/arxiv.2606.10479 · pith_short_12: F75A6PKKLT73 · pith_short_16: F75A6PKKLT73R2QW · pith_short_8: F75A6PKK

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/F75A6PKKLT73R2QWYL3UZTT375 \
  | 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: 2ffa0f3d4a5cffb8ea16c2f74cce7bff7946f2f937e3a68398f9702fd59cd2ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64cb1afacc14d44191f65115aed4e76e09b3daf5b10df53836a9a41694890344",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-09T06:50:15Z",
    "title_canon_sha256": "556de02d528f4d9a7f907d44f1e6dfc311a6c80aed2c2488ba8371e20f7da25d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.10479",
    "kind": "arxiv",
    "version": 1
  }
}