Pith Number

pith:YKNUS6YX

pith:2001:YKNUS6YXYPLHXYW6NRCUQOU7UY

not attested not anchored not stored refs pending

An Average Case NP-Complete Graph Coloring Problem

Leonid A. Levin, Ramarathnam Venkatesan

arxiv:cs/0112001 v10 · 2001-12-02 · 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{YKNUS6YXYPLHXYW6NRCUQOU7UY}

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	2026-05-18T00:02:22.830084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c29b497b17c3d67be2de6c45483a9fa633aa2b6f0f8f27b149cfc9dd08303911

Aliases

arxiv: cs/0112001 · arxiv_version: cs/0112001v10 · doi: 10.48550/arxiv.cs/0112001 · pith_short_12: YKNUS6YXYPLH · pith_short_16: YKNUS6YXYPLHXYW6 · pith_short_8: YKNUS6YX

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/YKNUS6YXYPLHXYW6NRCUQOU7UY \
  | 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: c29b497b17c3d67be2de6c45483a9fa633aa2b6f0f8f27b149cfc9dd08303911

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc2378297c12263b1887bc8d5744d3f6a4e45ef1abb3c1f212439f044a8e521a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2001-12-02T21:44:23Z",
    "title_canon_sha256": "faab5fd74d6f73041fcd29898f894fb9c9d62358bf597ba96426522969222490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0112001",
    "kind": "arxiv",
    "version": 10
  }
}