Pith Number

pith:33UGUDG5

pith:2012:33UGUDG5STLOTSDDYZLG4YNFTO

not attested not anchored not stored refs pending

The distance-t chromatic index of graphs

Ross J. Kang, Tom\'a\v{s} Kaiser

arxiv:1205.4171 v3 · 2012-05-18 · 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{33UGUDG5STLOTSDDYZLG4YNFTO}

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.

Cited by

1 paper in Pith

Coloring, List Coloring, and Painting Squares of Graphs (and other related problems)

Receipt and verification

First computed	2026-05-18T01:28:44.539050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dee86a0cdd94d6e9c863c6566e61a59bb46d45a8475957654112fc29960a3b35

Aliases

arxiv: 1205.4171 · arxiv_version: 1205.4171v3 · doi: 10.48550/arxiv.1205.4171 · pith_short_12: 33UGUDG5STLO · pith_short_16: 33UGUDG5STLOTSDD · pith_short_8: 33UGUDG5

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/33UGUDG5STLOTSDDYZLG4YNFTO \
  | 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: dee86a0cdd94d6e9c863c6566e61a59bb46d45a8475957654112fc29960a3b35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "526a4bbc296bba9d2c0b0ebb045d18414f7fd65d5307fedbb474b3d86fbfc442",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-18T15:04:54Z",
    "title_canon_sha256": "c089215998c268b89b084b43c3125f499c585b8b34aeb6711c384c4b5f770fd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4171",
    "kind": "arxiv",
    "version": 3
  }
}