Pith Number

pith:MDIVNUVN

pith:2022:MDIVNUVNCL6QL2EG5XE3HBU7SJ

not attested not anchored not stored refs pending

The minimum number of clique-saturating edges

Fuhong Ma, Jialin He, Jie Ma, Xinyang Ye

arxiv:2201.03983 v2 · 2022-01-11 · 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{MDIVNUVNCL6QL2EG5XE3HBU7SJ}

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	2026-07-05T03:48:11.055338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d156d2ad12fd05e886edc9b3869f9265ce3350a8827e36987578f0f3e01c7b

Aliases

arxiv: 2201.03983 · arxiv_version: 2201.03983v2 · doi: 10.48550/arxiv.2201.03983 · pith_short_12: MDIVNUVNCL6Q · pith_short_16: MDIVNUVNCL6QL2EG · pith_short_8: MDIVNUVN

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/MDIVNUVNCL6QL2EG5XE3HBU7SJ \
  | 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: 60d156d2ad12fd05e886edc9b3869f9265ce3350a8827e36987578f0f3e01c7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d414b0b1069f4e94a5c316c1b36bcd688b20ad47fe21dae8bf77aab7e3fa3bf7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-01-11T14:59:59Z",
    "title_canon_sha256": "2a9897ce3b8df9b307805cbcb70f55fc156a2133fca9d40a1ac366c9147cb775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.03983",
    "kind": "arxiv",
    "version": 2
  }
}