Pith Number

pith:DYZP76R5

pith:2020:DYZP76R5NNLSZI46RKZNG5NNMZ

not attested not anchored not stored refs pending

Neighbor product distinguishing total colorings of corona of subcubic graphs

Aijun Dong, Wenwen Zhang

arxiv:2011.10455 v3 · 2020-11-20 · 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{DYZP76R5NNLSZI46RKZNG5NNMZ}

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	2026-07-05T02:34:10.251261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e32fffa3d6b572ca39e8ab2d375ad665c1614f2164a1a5349f5137ce0cd1579

Aliases

arxiv: 2011.10455 · arxiv_version: 2011.10455v3 · doi: 10.48550/arxiv.2011.10455 · pith_short_12: DYZP76R5NNLS · pith_short_16: DYZP76R5NNLSZI46 · pith_short_8: DYZP76R5

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/DYZP76R5NNLSZI46RKZNG5NNMZ \
  | 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: 1e32fffa3d6b572ca39e8ab2d375ad665c1614f2164a1a5349f5137ce0cd1579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e40203099ea6527268f2f5af815ebac9c63d677116acf39570acb211c3f4e11",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-11-20T15:34:50Z",
    "title_canon_sha256": "5ac348d936debda7e3f2c6cc658f7765cb8bfc5f7005b168b32d4653cd4b1d20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.10455",
    "kind": "arxiv",
    "version": 3
  }
}