Pith Number

pith:6C7ZTJKL

pith:2013:6C7ZTJKLWKQKB3RNCPF6FJ6CJ3

not attested not anchored not stored refs pending

Automorphisms of groups and converse of Schur's theorem

Deepak Gumber, Hemant Kalra, Sandeep Singh

arxiv:1303.4966 v1 · 2013-03-20 · 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{6C7ZTJKLWKQKB3RNCPF6FJ6CJ3}

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	2026-05-18T03:30:15.531652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0bf99a54bb2a0a0ee2d13cbe2a7c24ec692de3a6a8678bd8ef7b288aa9d9467

Aliases

arxiv: 1303.4966 · arxiv_version: 1303.4966v1 · doi: 10.48550/arxiv.1303.4966 · pith_short_12: 6C7ZTJKLWKQK · pith_short_16: 6C7ZTJKLWKQKB3RN · pith_short_8: 6C7ZTJKL

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/6C7ZTJKLWKQKB3RNCPF6FJ6CJ3 \
  | 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: f0bf99a54bb2a0a0ee2d13cbe2a7c24ec692de3a6a8678bd8ef7b288aa9d9467

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77c04cb5549c53cb2dc0ff01def3355b0f0b1768ef8a855efc471b98d47fdaee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-03-20T15:29:48Z",
    "title_canon_sha256": "ba2294bfe5e351d565e440f12c40526c838d3248e45a191124f199ca72d701cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4966",
    "kind": "arxiv",
    "version": 1
  }
}