Pith Number

pith:WGLFYOUO

pith:2018:WGLFYOUO5ODFWAME464J3UGORD

not attested not anchored not stored refs pending

On automorphisms of finite $p$-groups

Deepak Gumber, Hemant Kalra

arxiv:1803.07853 v1 · 2018-03-21 · 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{WGLFYOUO5ODFWAME464J3UGORD}

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	2026-05-18T00:20:28.733500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1965c3a8eeb865b0184e7b89dd0ce88edc2dc677410abaf3aaea889b09c32cf

Aliases

arxiv: 1803.07853 · arxiv_version: 1803.07853v1 · doi: 10.48550/arxiv.1803.07853 · pith_short_12: WGLFYOUO5ODF · pith_short_16: WGLFYOUO5ODFWAME · pith_short_8: WGLFYOUO

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/WGLFYOUO5ODFWAME464J3UGORD \
  | 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: b1965c3a8eeb865b0184e7b89dd0ce88edc2dc677410abaf3aaea889b09c32cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c96bc334c2397c31eb596fa677b344b3cc31c6ed02b89244b68575dd1fe6e8d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-03-21T10:58:23Z",
    "title_canon_sha256": "a84763906fd206c92a1cd050348164bf7cd2d7058404f44e1d5b540383af2306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07853",
    "kind": "arxiv",
    "version": 1
  }
}