Pith Number

pith:WHQVUCJX

pith:2013:WHQVUCJXB3CK3SVMZHPSXY2LQV

not attested not anchored not stored refs pending

Graphs with 3-rainbow index $n-1$ and $n-2$

Kang Yang, Xueliang Li, Yan Zhao

arxiv:1308.4251 v1 · 2013-08-20 · 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{WHQVUCJXB3CK3SVMZHPSXY2LQV}

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	2026-05-18T03:15:33.343743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e15a09370ec4adcaacc9df2be34b857da0d2690b0c2282d696a7baaed6c500

Aliases

arxiv: 1308.4251 · arxiv_version: 1308.4251v1 · doi: 10.48550/arxiv.1308.4251 · pith_short_12: WHQVUCJXB3CK · pith_short_16: WHQVUCJXB3CK3SVM · pith_short_8: WHQVUCJX

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/WHQVUCJXB3CK3SVMZHPSXY2LQV \
  | 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: b1e15a09370ec4adcaacc9df2be34b857da0d2690b0c2282d696a7baaed6c500

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d77a54e4bd02f39f1aa52036d8e0d75e4966beb57e7741bbb1309f46f9a952ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-20T08:24:35Z",
    "title_canon_sha256": "40dd45f72e1be828e6465091287f6827c0221afa7ed30421e95eca8a0b91dcff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4251",
    "kind": "arxiv",
    "version": 1
  }
}