Pith Number

pith:OUWLGZSH

pith:2026:OUWLGZSHA5GY2CMZKAYM7U62QX

not attested not anchored not stored refs pending

On saturation problems involving clique number and matching number

Guorong Gao, Jianfeng Hou, Yue Ma, Zian Chen

arxiv:2606.09733 v1 · 2026-06-08 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OUWLGZSHA5GY2CMZKAYM7U62QX}

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	2026-06-09T02:09:06.650436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

752cb36647074d8d09995030cfd3da85d8f0f8c10c9f506e9c58161ba0f5871c

Aliases

arxiv: 2606.09733 · arxiv_version: 2606.09733v1 · doi: 10.48550/arxiv.2606.09733 · pith_short_12: OUWLGZSHA5GY · pith_short_16: OUWLGZSHA5GY2CMZ · pith_short_8: OUWLGZSH

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/OUWLGZSHA5GY2CMZKAYM7U62QX \
  | 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: 752cb36647074d8d09995030cfd3da85d8f0f8c10c9f506e9c58161ba0f5871c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b916f182bba20c17324f1927153d6708b09fe761e2f465bb5baf9720634223a6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-08T16:59:24Z",
    "title_canon_sha256": "ef543d033e09e22a29fe3eea68810e0080b6ba92fca3d64f9b81a33922e21409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09733",
    "kind": "arxiv",
    "version": 1
  }
}