Pith Number

pith:JWBNT7QB

pith:2012:JWBNT7QB2CMK2BGKJ6V5SBNVMF

not attested not anchored not stored refs pending

A new upper bound on the acyclic chromatic indices of planar graphs

Qiaojun Shu, Weifan Wang, Yiqiao Wang

arxiv:1205.6869 v1 · 2012-05-31 · 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{JWBNT7QB2CMK2BGKJ6V5SBNVMF}

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	2026-05-18T03:54:36.693594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d82d9fe01d098ad04ca4fabd905b56169e49035a094cbfb2f830d49cebeaaf3

Aliases

arxiv: 1205.6869 · arxiv_version: 1205.6869v1 · doi: 10.48550/arxiv.1205.6869 · pith_short_12: JWBNT7QB2CMK · pith_short_16: JWBNT7QB2CMK2BGK · pith_short_8: JWBNT7QB

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/JWBNT7QB2CMK2BGKJ6V5SBNVMF \
  | 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: 4d82d9fe01d098ad04ca4fabd905b56169e49035a094cbfb2f830d49cebeaaf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9391fa4f6e0d4dec3fb04e5ae41ee6591441ed0b9f6763ca07b6bb020deb54e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-31T02:05:04Z",
    "title_canon_sha256": "7c513f1464c8898a1d11956ed900066fc727e2101ba8369aba1996e6dddbe1d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6869",
    "kind": "arxiv",
    "version": 1
  }
}