Pith Number

pith:ABVB62I5

pith:2017:ABVB62I56LUTQAVGGWOCUOB3AY

not attested not anchored not stored refs pending

Non-abelian finite groups whose character sums are invariant but are not Cayley isomorphism

A. Abdollahi, M. Zallaghi

arxiv:1710.04446 v1 · 2017-10-12 · math.GR · 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{ABVB62I56LUTQAVGGWOCUOB3AY}

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	2026-05-18T00:33:01.026623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

006a1f691df2e93802a6359c2a383b060aa2647e7c01f59c2d1d4ffc5723ab1b

Aliases

arxiv: 1710.04446 · arxiv_version: 1710.04446v1 · doi: 10.48550/arxiv.1710.04446 · pith_short_12: ABVB62I56LUT · pith_short_16: ABVB62I56LUTQAVG · pith_short_8: ABVB62I5

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/ABVB62I56LUTQAVGGWOCUOB3AY \
  | 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: 006a1f691df2e93802a6359c2a383b060aa2647e7c01f59c2d1d4ffc5723ab1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aab90d992b7de6090ab46a52e7bb2feb6799e38a4204b7de215964c6761b875",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-10-12T11:03:14Z",
    "title_canon_sha256": "8d2e39cf9ccb8881efcf911ad8e095b32004d3a1ec918c87562ad8b7f5064ed2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04446",
    "kind": "arxiv",
    "version": 1
  }
}