Pith Number

pith:GZIUNUL3

pith:2018:GZIUNUL3KYG3XUTSC4OA6BGXWX

not attested not anchored not stored refs pending

Perfect 3-Colorings on 4-Regular Graph of Order 8

Ashish Kumar Upadhyay, Sayantan Maity, Sk Rabiul Islam

arxiv:1806.08755 v2 · 2018-06-22 · 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{GZIUNUL3KYG3XUTSC4OA6BGXWX}

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	2026-05-18T00:11:56.549003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

365146d17b560dbbd272171c0f04d7b5fdd252a60e61be2e45421a4e12ed1712

Aliases

arxiv: 1806.08755 · arxiv_version: 1806.08755v2 · doi: 10.48550/arxiv.1806.08755 · pith_short_12: GZIUNUL3KYG3 · pith_short_16: GZIUNUL3KYG3XUTS · pith_short_8: GZIUNUL3

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/GZIUNUL3KYG3XUTSC4OA6BGXWX \
  | 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: 365146d17b560dbbd272171c0f04d7b5fdd252a60e61be2e45421a4e12ed1712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2089933d363bae9496c3128a23e6684a37f7263003643bb1dba08032b6f82cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-06-22T16:36:54Z",
    "title_canon_sha256": "e9f548b0cc16af811cd6706e9c9adbe90195ae3ca6d210cbd608be2de98e83a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08755",
    "kind": "arxiv",
    "version": 2
  }
}