Pith Number

pith:FQGNUF44

pith:2012:FQGNUF4435IT4C5GNZLXWXOCBA

not attested not anchored not stored refs pending

A relation between Clar covering polynomial and cube polynomial

Heping Zhang, Pak-Kiu Sun, Wai-Chee Shiu

arxiv:1210.5322 v1 · 2012-10-19 · 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{FQGNUF4435IT4C5GNZLXWXOCBA}

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	2026-05-18T03:42:45.536418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c0cda179cdf513e0ba66e577b5dc2083d8976c9ac3fa20ef41ce9a946193668

Aliases

arxiv: 1210.5322 · arxiv_version: 1210.5322v1 · doi: 10.48550/arxiv.1210.5322 · pith_short_12: FQGNUF4435IT · pith_short_16: FQGNUF4435IT4C5G · pith_short_8: FQGNUF44

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/FQGNUF4435IT4C5GNZLXWXOCBA \
  | 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: 2c0cda179cdf513e0ba66e577b5dc2083d8976c9ac3fa20ef41ce9a946193668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acd5a8585444230af49d5fd42fb72613579b93d447a1ead6eb24cf9bc360e588",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-19T05:55:42Z",
    "title_canon_sha256": "0754f0ac51811c9fc4694a6ed94c53718146a92cb22dfe24273ec56fe7eac82f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5322",
    "kind": "arxiv",
    "version": 1
  }
}