Pith Number

pith:T2KWFFAQ

pith:2009:T2KWFFAQXC2KKOQRJOLLHIQDBY

not attested not anchored not stored refs pending

Abelianization of p-groups with derived subgroup of prime order

Guhan Venkat

arxiv:0910.5848 v4 · 2009-10-30 · 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{T2KWFFAQXC2KKOQRJOLLHIQDBY}

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	2026-05-18T00:23:19.815360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e95629410b8b4a53a114b96b3a2030e35edb037d898066f794c54a9ec671f1c

Aliases

arxiv: 0910.5848 · arxiv_version: 0910.5848v4 · doi: 10.48550/arxiv.0910.5848 · pith_short_12: T2KWFFAQXC2K · pith_short_16: T2KWFFAQXC2KKOQR · pith_short_8: T2KWFFAQ

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/T2KWFFAQXC2KKOQRJOLLHIQDBY \
  | 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: 9e95629410b8b4a53a114b96b3a2030e35edb037d898066f794c54a9ec671f1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1df5c257cdb65de24296a4b9038214fcb68f26a2200eb68925d19c07443050ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-10-30T11:23:28Z",
    "title_canon_sha256": "c682b5d1ed05d524f08280ec78c80c37e205c604d5ea3076fa8af0eb7798e579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5848",
    "kind": "arxiv",
    "version": 4
  }
}