Pith Number

pith:ERWYZJVF

pith:2015:ERWYZJVFVJRBVNBJHXI7BWRBB5

not attested not anchored not stored refs pending

Rainbow connectivity of the non-commuting graph of a finite group

Kaishun Wang, Xuanlong Ma, Yulong Wei

arxiv:1506.04378 v1 · 2015-06-14 · 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{ERWYZJVFVJRBVNBJHXI7BWRBB5}

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	2026-05-18T01:49:54.694638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

246d8ca6a5aa621ab4293dd1f0da210f687fde8e000e893b839722aabc1a820f

Aliases

arxiv: 1506.04378 · arxiv_version: 1506.04378v1 · doi: 10.48550/arxiv.1506.04378 · pith_short_12: ERWYZJVFVJRB · pith_short_16: ERWYZJVFVJRBVNBJ · pith_short_8: ERWYZJVF

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/ERWYZJVFVJRBVNBJHXI7BWRBB5 \
  | 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: 246d8ca6a5aa621ab4293dd1f0da210f687fde8e000e893b839722aabc1a820f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369abbd75ee3dc8b87db9050c01e159cba74c822c6523d4c4f72dbf6e14b773e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-14T11:04:38Z",
    "title_canon_sha256": "47e8d896eedc59564127a8fec9fca9286ac0cd5535fb4495fa7596fc258843bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04378",
    "kind": "arxiv",
    "version": 1
  }
}