Pith Number

pith:HE4XTG4W

pith:2015:HE4XTG4WSTFS3PUTDC2LAX2P2Y

not attested not anchored not stored refs pending

A characterization of L(2, 1)-labeling number for trees with maximum degree 3

Dong Chen, Pak Kiu Sun, Qiaojun Shu, Wai Chee Shiu, Weifan Wang

arxiv:1509.00275 v1 · 2015-09-01 · 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{HE4XTG4WSTFS3PUTDC2LAX2P2Y}

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	2026-05-18T01:34:14.589621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3939799b9694cb2dbe9318b4b05f4fd602f2f6d51baf47aa4d4ac35193f87734

Aliases

arxiv: 1509.00275 · arxiv_version: 1509.00275v1 · doi: 10.48550/arxiv.1509.00275 · pith_short_12: HE4XTG4WSTFS · pith_short_16: HE4XTG4WSTFS3PUT · pith_short_8: HE4XTG4W

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/HE4XTG4WSTFS3PUTDC2LAX2P2Y \
  | 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: 3939799b9694cb2dbe9318b4b05f4fd602f2f6d51baf47aa4d4ac35193f87734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06dfc1bf27fc559063f4ac7143827991a1b484922c37f243c81ddfeb16169142",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-01T13:24:18Z",
    "title_canon_sha256": "7d4f21147c3fc949309fb4d84a18908711ae764b0f139ca3c4620e0fc5839e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00275",
    "kind": "arxiv",
    "version": 1
  }
}