Pith Number

pith:7ZKECBI6

pith:2011:7ZKECBI63KVA3OK7UCSIY42PRU

not attested not anchored not stored refs pending

Power map permutations and symmetric differences in finite groups

Guillermo Mantilla-Soler, M\'arton Hablicsek

arxiv:1109.2256 v1 · 2011-09-10 · 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{7ZKECBI63KVA3OK7UCSIY42PRU}

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	2026-05-18T03:07:21.108378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe5441051edaaa0db95fa0a48c734f8d2c57aab756ebe60a4416ab810385ce7e

Aliases

arxiv: 1109.2256 · arxiv_version: 1109.2256v1 · doi: 10.48550/arxiv.1109.2256 · pith_short_12: 7ZKECBI63KVA · pith_short_16: 7ZKECBI63KVA3OK7 · pith_short_8: 7ZKECBI6

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/7ZKECBI63KVA3OK7UCSIY42PRU \
  | 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: fe5441051edaaa0db95fa0a48c734f8d2c57aab756ebe60a4416ab810385ce7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28fdadeb6f502f5f1e6bf06b5863cbb61d030d2533e3b58c61964fb6e46a2e4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-09-10T19:45:43Z",
    "title_canon_sha256": "ae16020cd525447bd1c5d4860536f72eebb1eec2ca84b0940e502337e5f64d8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2256",
    "kind": "arxiv",
    "version": 1
  }
}