Pith Number

pith:PI3TKPYR

pith:2011:PI3TKPYRDNUSBKUDBRZEJVS2X5

not attested not anchored not stored refs pending

List version of ($p$,1)-total labellings

Guanghui Wang, Guizhen Liu, Yong Yu

arxiv:1105.1906 v1 · 2011-05-10 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PI3TKPYRDNUSBKUDBRZEJVS2X5}

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	2026-05-18T04:22:30.323104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a37353f111b6920aa830c7244d65abf73f58400939f83a2e230529b60110e13

Aliases

arxiv: 1105.1906 · arxiv_version: 1105.1906v1 · doi: 10.48550/arxiv.1105.1906 · pith_short_12: PI3TKPYRDNUS · pith_short_16: PI3TKPYRDNUSBKUD · pith_short_8: PI3TKPYR

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/PI3TKPYRDNUSBKUDBRZEJVS2X5 \
  | 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: 7a37353f111b6920aa830c7244d65abf73f58400939f83a2e230529b60110e13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "510aba492988636729d60474240a9cd0ea3d4904aaf03de06aef91c57c4df0a7",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-10T11:01:14Z",
    "title_canon_sha256": "13b2f1ed33440d511f9aadc092487f4ed9ad013cd623a5861e66a45403a7abb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1906",
    "kind": "arxiv",
    "version": 1
  }
}