Pith Number

pith:NCVFJDEM

pith:2011:NCVFJDEMCIWAQOAB6WKH76FT6A

not attested not anchored not stored refs pending

Further hardness results on the rainbow vertex-connection number of graphs

Huishu Lian, Lily Chen, Xueliang Li

arxiv:1110.1915 v1 · 2011-10-10 · math.CO · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NCVFJDEMCIWAQOAB6WKH76FT6A}

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	2026-05-18T04:11:19.326580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68aa548c8c122c083801f5947ff8b3f0045d1d1976f0122b9c48dcbb641bbadb

Aliases

arxiv: 1110.1915 · arxiv_version: 1110.1915v1 · doi: 10.48550/arxiv.1110.1915 · pith_short_12: NCVFJDEMCIWA · pith_short_16: NCVFJDEMCIWAQOAB · pith_short_8: NCVFJDEM

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/NCVFJDEMCIWAQOAB6WKH76FT6A \
  | 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: 68aa548c8c122c083801f5947ff8b3f0045d1d1976f0122b9c48dcbb641bbadb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60981e83ad1f65a39d6eba9b90bf41020f40e6ba79532cb5a4500d24699a0b19",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-10T03:19:42Z",
    "title_canon_sha256": "f95e9ab582d8ee0dcde0f893be3698ede5ff5eacf0f3caa776373ef3cd25ef88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1915",
    "kind": "arxiv",
    "version": 1
  }
}