Pith Number

pith:VEY3Z4BR

pith:2016:VEY3Z4BRGOHZUMUMMODMKNL7QW

not attested not anchored not stored refs pending

The multiple holomorph of a finitely generated abelian group

A. Caranti, F. Dalla Volta

arxiv:1611.05662 v2 · 2016-11-17 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VEY3Z4BRGOHZUMUMMODMKNL7QW}

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	2026-05-18T00:48:32.535085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a931bcf031338f9a328c6386c5357f85af6e4db375c1564d859153a1b2c12760

Aliases

arxiv: 1611.05662 · arxiv_version: 1611.05662v2 · doi: 10.48550/arxiv.1611.05662 · pith_short_12: VEY3Z4BRGOHZ · pith_short_16: VEY3Z4BRGOHZUMUM · pith_short_8: VEY3Z4BR

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/VEY3Z4BRGOHZUMUMMODMKNL7QW \
  | 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: a931bcf031338f9a328c6386c5357f85af6e4db375c1564d859153a1b2c12760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "797fdc2f30a02f2ecd9cd110ed7273c705969075816eeec962976bfd698345c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-11-17T12:49:17Z",
    "title_canon_sha256": "b84f714be11386704bcd33efced1e192b2a6d2edf0a1871e89b106531b99379e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05662",
    "kind": "arxiv",
    "version": 2
  }
}