Pith Number

pith:LQ3OMK4L

pith:2013:LQ3OMK4LUNC7GSXW7OBZFJBCEC

not attested not anchored not stored refs pending

Clique numbers of graph unions

Juba Ziani, Maria Chudnovsky

arxiv:1307.6443 v1 · 2013-07-24 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQ3OMK4LUNC7GSXW7OBZFJBCEC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:17:36.507015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c36e62b8ba345f34af6fb8392a42220b9ef957b5431668444f0d201552fdc18

Aliases

arxiv: 1307.6443 · arxiv_version: 1307.6443v1 · doi: 10.48550/arxiv.1307.6443 · pith_short_12: LQ3OMK4LUNC7 · pith_short_16: LQ3OMK4LUNC7GSXW · pith_short_8: LQ3OMK4L

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/LQ3OMK4LUNC7GSXW7OBZFJBCEC \
  | 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: 5c36e62b8ba345f34af6fb8392a42220b9ef957b5431668444f0d201552fdc18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a837663be1b9f470e7e9e49e19160dbf96de549dc2145f6f9faea8bbb2ccc30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-24T14:58:00Z",
    "title_canon_sha256": "31e12ed8e8f6ad3363975bd2daae40eef9c3423d90bccd534ad553b7155baed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6443",
    "kind": "arxiv",
    "version": 1
  }
}