Pith Number

pith:PNRMOEQY

pith:2011:PNRMOEQYLTZGVX56RPS7A2K4WU

not attested not anchored not stored refs pending

On class preserving automorphisms of groups of order 32

Deepak Gumber, Hemant Kalra

arxiv:1101.3971 v1 · 2011-01-20 · 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{PNRMOEQYLTZGVX56RPS7A2K4WU}

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	2026-05-18T04:31:20.733723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b62c712185cf26adfbe8be5f0695cb53a85e3b0a37fdea3169c1c1c0724e4da

Aliases

arxiv: 1101.3971 · arxiv_version: 1101.3971v1 · doi: 10.48550/arxiv.1101.3971 · pith_short_12: PNRMOEQYLTZG · pith_short_16: PNRMOEQYLTZGVX56 · pith_short_8: PNRMOEQY

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/PNRMOEQYLTZGVX56RPS7A2K4WU \
  | 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: 7b62c712185cf26adfbe8be5f0695cb53a85e3b0a37fdea3169c1c1c0724e4da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05aa83422c6b38f18d4a1a12131318a10466121f984323468c0f38d1fa777724",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-01-20T17:10:37Z",
    "title_canon_sha256": "6fedd2de4860f691ca9f6f91586d0c087c6debc0fa842a8f6cda0307e6407d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3971",
    "kind": "arxiv",
    "version": 1
  }
}