Pith Number

pith:EURXH6Y4

pith:2016:EURXH6Y4UUAGKVBUHC4N2EKFL4

not attested not anchored not stored refs pending

$p$-subgroups of units in $\mathbb{Z}G$

Leo Margolis, Wolfgang Kimmerle

arxiv:1605.09599 v1 · 2016-05-31 · math.RA · math.GR · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EURXH6Y4UUAGKVBUHC4N2EKFL4}

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	2026-05-18T01:13:10.517779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

252373fb1ca50065543438b8dd11455f1ee37ca203f4f071dfd26169c23710dc

Aliases

arxiv: 1605.09599 · arxiv_version: 1605.09599v1 · doi: 10.48550/arxiv.1605.09599 · pith_short_12: EURXH6Y4UUAG · pith_short_16: EURXH6Y4UUAGKVBU · pith_short_8: EURXH6Y4

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/EURXH6Y4UUAGKVBUHC4N2EKFL4 \
  | 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: 252373fb1ca50065543438b8dd11455f1ee37ca203f4f071dfd26169c23710dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd2cef0617e6823a38519d89f6e814408a7e1d042d49eff53b84f59d9f991e54",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-05-31T12:30:23Z",
    "title_canon_sha256": "b3522894316e0ddf3af1c20ed7ac647a2fee9d7a4b841e5431eb0e6322e15ee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09599",
    "kind": "arxiv",
    "version": 1
  }
}