Pith Number

pith:O4KVUXNA

pith:2016:O4KVUXNAIF3TAGW6VYE4D2UMHN

not attested not anchored not stored refs pending

Properties of chromatic polynomials of hypergraphs not held for chromatic polynomials of graphs

Fengming Dong, Ruixue Zhang

arxiv:1611.04245 v3 · 2016-11-14 · 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{O4KVUXNAIF3TAGW6VYE4D2UMHN}

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	2026-05-18T00:46:02.367894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77155a5da04177301adeae09c1ea8c3b6b05aac0206212170d3f7441f61b82b6

Aliases

arxiv: 1611.04245 · arxiv_version: 1611.04245v3 · doi: 10.48550/arxiv.1611.04245 · pith_short_12: O4KVUXNAIF3T · pith_short_16: O4KVUXNAIF3TAGW6 · pith_short_8: O4KVUXNA

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/O4KVUXNAIF3TAGW6VYE4D2UMHN \
  | 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: 77155a5da04177301adeae09c1ea8c3b6b05aac0206212170d3f7441f61b82b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec6d15de950e9d5da9556a68938ee009863db7906ea01dd4aa3e320fbf89b987",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-14T04:06:05Z",
    "title_canon_sha256": "c221e8e1ef7c7c22026436c42378de596fff05d77b90fe38587bba6a2bdd6cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04245",
    "kind": "arxiv",
    "version": 3
  }
}