Pith Number

pith:CQ3FMSWT

pith:2011:CQ3FMSWTFML7ZJ2TRZCATMKSZO

not attested not anchored not stored refs pending

The chromatic spectrum of 3-uniform bi-hypergraphs

Kaishun Wang, Kefeng Diao, Ping Zhao

arxiv:1105.2672 v1 · 2011-05-13 · 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{CQ3FMSWTFML7ZJ2TRZCATMKSZO}

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	2026-05-18T04:22:09.833116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1436564ad32b17fca7538e4409b152cbb8914be7275912f31bb763fd8c870f53

Aliases

arxiv: 1105.2672 · arxiv_version: 1105.2672v1 · doi: 10.48550/arxiv.1105.2672 · pith_short_12: CQ3FMSWTFML7 · pith_short_16: CQ3FMSWTFML7ZJ2T · pith_short_8: CQ3FMSWT

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/CQ3FMSWTFML7ZJ2TRZCATMKSZO \
  | 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: 1436564ad32b17fca7538e4409b152cbb8914be7275912f31bb763fd8c870f53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d34bf5d168219c1deef26d3bb6da8c1d4c4a25e5396d0499336d2316007564d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-13T09:48:18Z",
    "title_canon_sha256": "0c55e3d66f3038baa66720d38849bcdc3a354a8b7c9877d60d9e6964547276aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2672",
    "kind": "arxiv",
    "version": 1
  }
}