Pith Number

pith:YISJKKDO

pith:2012:YISJKKDO22YASI55BQ2AKCBKHZ

not attested not anchored not stored refs pending

Combinatorial coloring of 3-colorable graphs

Ken-ichi Kawarabayashi, Mikkel Thorup

arxiv:1205.1254 v1 · 2012-05-06 · cs.DM · cs.DS · 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{YISJKKDO22YASI55BQ2AKCBKHZ}

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	2026-05-18T03:56:11.676359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c22495286ed6b00923bd0c3405082a3e6ce686556156c8dab2648bf969ece910

Aliases

arxiv: 1205.1254 · arxiv_version: 1205.1254v1 · doi: 10.48550/arxiv.1205.1254 · pith_short_12: YISJKKDO22YA · pith_short_16: YISJKKDO22YASI55 · pith_short_8: YISJKKDO

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/YISJKKDO22YASI55BQ2AKCBKHZ \
  | 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: c22495286ed6b00923bd0c3405082a3e6ce686556156c8dab2648bf969ece910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e10abf14f045c83f861f0e948e8a385499baa7eb4407a3f4d0d42656ceb1d02c",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-05-06T23:25:11Z",
    "title_canon_sha256": "f288bed9c636f03b3b439090f22a767eab032db76c659461ea024c16010f0fc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1254",
    "kind": "arxiv",
    "version": 1
  }
}