Pith Number

pith:GM66ZQDW

pith:2010:GM66ZQDWOVCRRQKH27KD5LIKNR

not attested not anchored not stored refs pending

Extensions of Finite Abelian Groups

Guhan Venkat

arxiv:1002.2473 v2 · 2010-02-12 · 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{GM66ZQDWOVCRRQKH27KD5LIKNR}

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	2026-05-18T00:23:19.792889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333decc076754518c147d7d43ead0a6c5b01d87f4b0338597a9eb1fb97360c22

Aliases

arxiv: 1002.2473 · arxiv_version: 1002.2473v2 · doi: 10.48550/arxiv.1002.2473 · pith_short_12: GM66ZQDWOVCR · pith_short_16: GM66ZQDWOVCRRQKH · pith_short_8: GM66ZQDW

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/GM66ZQDWOVCRRQKH27KD5LIKNR \
  | 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: 333decc076754518c147d7d43ead0a6c5b01d87f4b0338597a9eb1fb97360c22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a036bc8df53529155a94cdfa2270890e774684e53c49dbd8307cef06e2f8c2c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-02-12T04:42:17Z",
    "title_canon_sha256": "6ab2721934a63377dcb9c7edb49b97a14fa4c694818ae69846835f069feb637a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2473",
    "kind": "arxiv",
    "version": 2
  }
}