Pith Number

pith:ODCNKO7A

pith:2011:ODCNKO7AGLIDT2DW74XUJ4KXN7

not attested not anchored not stored refs pending

Sylow $p$-groups of polynomial permutations on the integers mod $p^n$

Daniel Krenn, Sophie Frisch

arxiv:1112.1228 v3 · 2011-12-06 · 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{ODCNKO7AGLIDT2DW74XUJ4KXN7}

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	2026-05-18T02:43:45.793615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70c4d53be032d039e876ff2f44f1576fd8dc9450c685e16f8657d52048b3e294

Aliases

arxiv: 1112.1228 · arxiv_version: 1112.1228v3 · doi: 10.48550/arxiv.1112.1228 · pith_short_12: ODCNKO7AGLID · pith_short_16: ODCNKO7AGLIDT2DW · pith_short_8: ODCNKO7A

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/ODCNKO7AGLIDT2DW74XUJ4KXN7 \
  | 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: 70c4d53be032d039e876ff2f44f1576fd8dc9450c685e16f8657d52048b3e294

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "755caf9eb3a88bdf851ced7fb2bf32726b41d62ec0110568a0606dd018752d2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-12-06T10:51:36Z",
    "title_canon_sha256": "4178ac9350f8a37b95d6476a1fbe8620f8384cd0bc9b07f7ae8198484e1fbd8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1228",
    "kind": "arxiv",
    "version": 3
  }
}