Pith Number

pith:WWZ5BDHC

pith:2013:WWZ5BDHCOP64LLEQVDPOEJOWH5

not attested not anchored not stored refs pending

Characterizations of 2-Colorable (Bipartite) and 3-Colorable Graphs

E. Sampathkumar, M. A. Sriraj

arxiv:1304.0083 v1 · 2013-03-30 · 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{WWZ5BDHCOP64LLEQVDPOEJOWH5}

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	2026-05-18T03:29:26.023768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b3d08ce273fdc5ac90a8dee225d63f5f1660f60b645164636b4f7b76e40efa

Aliases

arxiv: 1304.0083 · arxiv_version: 1304.0083v1 · doi: 10.48550/arxiv.1304.0083 · pith_short_12: WWZ5BDHCOP64 · pith_short_16: WWZ5BDHCOP64LLEQ · pith_short_8: WWZ5BDHC

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/WWZ5BDHCOP64LLEQVDPOEJOWH5 \
  | 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: b5b3d08ce273fdc5ac90a8dee225d63f5f1660f60b645164636b4f7b76e40efa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "614632bf972ac82cd30407bf0c1dc67ea44f71d3180929f6fd946d44b2579e99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-30T10:13:00Z",
    "title_canon_sha256": "595dc4e0a7c3e55de4da0afe929542b18152ad2b420960f8d593684e1ca5100f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0083",
    "kind": "arxiv",
    "version": 1
  }
}