Pith Number

pith:2VP4S3SP

pith:2013:2VP4S3SPB42ZOMQWLMHU437QBS

not attested not anchored not stored refs pending

Zero-separating invariants for finite groups

Jonathan Elmer, Martin Kohls

arxiv:1308.0991 v1 · 2013-08-05 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VP4S3SPB42ZOMQWLMHU437QBS}

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	2026-05-18T02:49:09.997954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d55fc96e4f0f359732165b0f4e6ff00cac6a4f0203d7fcda2b1c4788c4d0a261

Aliases

arxiv: 1308.0991 · arxiv_version: 1308.0991v1 · doi: 10.48550/arxiv.1308.0991 · pith_short_12: 2VP4S3SPB42Z · pith_short_16: 2VP4S3SPB42ZOMQW · pith_short_8: 2VP4S3SP

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/2VP4S3SPB42ZOMQWLMHU437QBS \
  | 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: d55fc96e4f0f359732165b0f4e6ff00cac6a4f0203d7fcda2b1c4788c4d0a261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d386014cea478117197953d59130b6234dfa113ca16dc78e36373e93afa32c3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-05T14:29:22Z",
    "title_canon_sha256": "a83fbbc734b335840ed6b22135075e2b52024e60902cbfc13dd97b8cf9ea33d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0991",
    "kind": "arxiv",
    "version": 1
  }
}