Pith Number

pith:QJ72YPCU

pith:2015:QJ72YPCUYS2KLGL5LUUUMQKOEX

not attested not anchored not stored refs pending

A bound on element orders in the holomorph of a finite group

Alexander Bors

arxiv:1510.02014 v1 · 2015-10-07 · 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{QJ72YPCUYS2KLGL5LUUUMQKOEX}

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	2026-05-18T01:30:49.883034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

827fac3c54c4b4a5997d5d2946414e25edb3bdbd9a117197cfdb0afb36b21487

Aliases

arxiv: 1510.02014 · arxiv_version: 1510.02014v1 · doi: 10.48550/arxiv.1510.02014 · pith_short_12: QJ72YPCUYS2K · pith_short_16: QJ72YPCUYS2KLGL5 · pith_short_8: QJ72YPCU

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/QJ72YPCUYS2KLGL5LUUUMQKOEX \
  | 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: 827fac3c54c4b4a5997d5d2946414e25edb3bdbd9a117197cfdb0afb36b21487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea4a1c7dcd0745a66422372f8d549b966c25f337e8911404d8054b188a0e9aaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-07T16:31:41Z",
    "title_canon_sha256": "f2481cb0b97953def6e308dcb8f125fed01a143a060ac6fb954f7a27c504ebfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02014",
    "kind": "arxiv",
    "version": 1
  }
}