Pith Number

pith:4VZ56Q3G

pith:2017:4VZ56Q3GITPJX45YIRTUPVRUYC

not attested not anchored not stored refs pending

Dense $3$-uniform hypergraphs containing a large clique

Biao Wu, Yuejian Peng

arxiv:1701.06139 v1 · 2017-01-22 · 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{4VZ56Q3GITPJX45YIRTUPVRUYC}

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	2026-05-18T00:52:19.178562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e573df436644de9bf3b8446747d634c090fe31e7e8022f92031a16c18a3f21ec

Aliases

arxiv: 1701.06139 · arxiv_version: 1701.06139v1 · doi: 10.48550/arxiv.1701.06139 · pith_short_12: 4VZ56Q3GITPJ · pith_short_16: 4VZ56Q3GITPJX45Y · pith_short_8: 4VZ56Q3G

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/4VZ56Q3GITPJX45YIRTUPVRUYC \
  | 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: e573df436644de9bf3b8446747d634c090fe31e7e8022f92031a16c18a3f21ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "428f1c5f099edc7ca86eacfeeae012269c9e97c65c1c78c3b429e50e475d5c02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-22T08:43:48Z",
    "title_canon_sha256": "56e7ff839e5e69add9d708e72ab182a9e7fab53989b90e7732736d79cf79f3cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06139",
    "kind": "arxiv",
    "version": 1
  }
}