Pith Number

pith:3VSILOEA

pith:2016:3VSILOEAKL5VHBJHBMLIS5A3XF

not attested not anchored not stored refs pending

On the algorithmic complexity of adjacent vertex closed distinguishing colorings number of graphs

Ali Dehghan, Mohsen Mollahajiaghaei

arxiv:1611.03181 v1 · 2016-11-10 · 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{3VSILOEAKL5VHBJHBMLIS5A3XF}

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	2026-05-18T00:59:41.083131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd6485b88052fb5385270b1689741bb94be7d86d412d01f89adedc782f8e3607

Aliases

arxiv: 1611.03181 · arxiv_version: 1611.03181v1 · doi: 10.48550/arxiv.1611.03181 · pith_short_12: 3VSILOEAKL5V · pith_short_16: 3VSILOEAKL5VHBJH · pith_short_8: 3VSILOEA

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/3VSILOEAKL5VHBJHBMLIS5A3XF \
  | 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: dd6485b88052fb5385270b1689741bb94be7d86d412d01f89adedc782f8e3607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a59c1eef69213e7c5cae145af306319e0048e258244b860857b175ed1caf71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-10T04:07:03Z",
    "title_canon_sha256": "7c5394eabd58a384f2745656140f4c96d62f1535c1e929ac727333f43b5054c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03181",
    "kind": "arxiv",
    "version": 1
  }
}