Pith Number

pith:W7MHX3M3

pith:2014:W7MHX3M33Q4C5GOVSTWAU5PTIK

not attested not anchored not stored refs pending

Class-preserving automorphisms of some finite $p$-groups

Deepak Gumber, Mahak Sharma

arxiv:1407.5921 v1 · 2014-07-22 · 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{W7MHX3M33Q4C5GOVSTWAU5PTIK}

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	2026-05-18T02:47:06.395474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7d87bed9bdc382e99d594ec0a75f3428f07134f3fed2bfca559a28dc486c690

Aliases

arxiv: 1407.5921 · arxiv_version: 1407.5921v1 · doi: 10.48550/arxiv.1407.5921 · pith_short_12: W7MHX3M33Q4C · pith_short_16: W7MHX3M33Q4C5GOV · pith_short_8: W7MHX3M3

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/W7MHX3M33Q4C5GOVSTWAU5PTIK \
  | 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: b7d87bed9bdc382e99d594ec0a75f3428f07134f3fed2bfca559a28dc486c690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "069f39501b949a43c59b899c1b20a4adf0869888aa9b53e982d40abd45ae97fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-22T16:15:06Z",
    "title_canon_sha256": "2cee0d4b2266bfea3520910fbcb7eeced10e0462ef4023679626aa97e54473ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5921",
    "kind": "arxiv",
    "version": 1
  }
}