Pith Number

pith:XTQMONJJ

pith:2012:XTQMONJJWU66BO3LBHATNBB353

not attested not anchored not stored refs pending

The Distance Coloring of Graphs

Lian-Ying Miao, Yi-Zheng Fan

arxiv:1212.1029 v3 · 2012-12-05 · 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{XTQMONJJWU66BO3LBHATNBB353}

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	2026-05-18T02:41:09.198838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce0c73529b53de0bb6b09c136843beef8d70454fbadc543af4fd337550f872f

Aliases

arxiv: 1212.1029 · arxiv_version: 1212.1029v3 · doi: 10.48550/arxiv.1212.1029 · pith_short_12: XTQMONJJWU66 · pith_short_16: XTQMONJJWU66BO3L · pith_short_8: XTQMONJJ

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/XTQMONJJWU66BO3LBHATNBB353 \
  | 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: bce0c73529b53de0bb6b09c136843beef8d70454fbadc543af4fd337550f872f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30f54d5fdf77578d09de7390b2a4c7313e1e2303dd00f25357f89adb04dc2e65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-05T14:03:43Z",
    "title_canon_sha256": "82d360219c09602bbb5810cf9674cefd02fa7aa9c36d031d2ee1117ef7bf240e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1029",
    "kind": "arxiv",
    "version": 3
  }
}