Pith Number

pith:GAC3VMNK

pith:2018:GAC3VMNKP36GVXSWH64FP3KQOE

not attested not anchored not stored refs pending

On the irregularity of uniform hypergraphs

Erfang Shan, Lele Liu, Liying Kang

arxiv:1802.02146 v1 · 2018-02-06 · 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{GAC3VMNKP36GVXSWH64FP3KQOE}

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	2026-05-18T00:24:09.194127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3005bab1aa7efc6ade563fb857ed507110a387f9539f7bb185f58c7b97859501

Aliases

arxiv: 1802.02146 · arxiv_version: 1802.02146v1 · doi: 10.48550/arxiv.1802.02146 · pith_short_12: GAC3VMNKP36G · pith_short_16: GAC3VMNKP36GVXSW · pith_short_8: GAC3VMNK

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/GAC3VMNKP36GVXSWH64FP3KQOE \
  | 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: 3005bab1aa7efc6ade563fb857ed507110a387f9539f7bb185f58c7b97859501

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32dfdfc00932c8abad540afa464ef7be02376d732c8919b32be696ab0d608b59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-06T15:29:51Z",
    "title_canon_sha256": "1ee991746617d894d38fe32a6d6c5c26d64a4de50f5b84e763e480e7bfee6678"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02146",
    "kind": "arxiv",
    "version": 1
  }
}