Pith Number

pith:GQE3JUY4

pith:2005:GQE3JUY47OJBRYHHACYSC7NGM5

not attested not anchored not stored refs pending

Class Preserving Automorphisms of Finite p-groups

Manoj K. Yadav

arxiv:math/0510112 v4 · 2005-10-06 · 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{GQE3JUY47OJBRYHHACYSC7NGM5}

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	2026-05-18T03:45:32.310148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3409b4d31cfb9218e0e700b1217da6677cdde494f7c897e84d201b7bccd4a26c

Aliases

arxiv: math/0510112 · arxiv_version: math/0510112v4 · doi: 10.48550/arxiv.math/0510112 · pith_short_12: GQE3JUY47OJB · pith_short_16: GQE3JUY47OJBRYHH · pith_short_8: GQE3JUY4

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/GQE3JUY47OJBRYHHACYSC7NGM5 \
  | 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: 3409b4d31cfb9218e0e700b1217da6677cdde494f7c897e84d201b7bccd4a26c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dc022eda3b974934eff6a23d5ae979acf66b48d243a12cedd9ac2b22640cc6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2005-10-06T04:41:32Z",
    "title_canon_sha256": "080fdb377e7f201ed3d459ccc0189793e5d1c227d878b9dfecfce97029db8c19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510112",
    "kind": "arxiv",
    "version": 4
  }
}