Pith Number

pith:U7N2DPAZ

pith:2018:U7N2DPAZIE2GQV4O6ZPRSUJELV

not attested not anchored not stored refs pending

The Chromatic Number of Finite Group Cayley Tables

E.S. Mahmoodian, Kevin Halasz, Luis Goddyn

arxiv:1805.06979 v1 · 2018-05-17 · 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{U7N2DPAZIE2GQV4O6ZPRSUJELV}

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	2026-05-17T23:46:04.161176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7dba1bc19413468578ef65f1951245d7815fa9e507f0b6f7ab19e571bce51b8

Aliases

arxiv: 1805.06979 · arxiv_version: 1805.06979v1 · doi: 10.48550/arxiv.1805.06979 · pith_short_12: U7N2DPAZIE2G · pith_short_16: U7N2DPAZIE2GQV4O · pith_short_8: U7N2DPAZ

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/U7N2DPAZIE2GQV4O6ZPRSUJELV \
  | 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: a7dba1bc19413468578ef65f1951245d7815fa9e507f0b6f7ab19e571bce51b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0285f91cef10820f759b4f5817b54a40af37f6d37eaadb33a8c0600cd0282547",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-17T22:02:59Z",
    "title_canon_sha256": "2a70fe14044fbc01dbf0d5c460854029b4380a57427fb467bddf8d15ff916461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06979",
    "kind": "arxiv",
    "version": 1
  }
}