Pith Number

pith:PR63QM4K

pith:2013:PR63QM4K7Y5DQSSJFWMOKV2LSR

not attested not anchored not stored refs pending

Affine transformations of finite vector spaces with large orders or few cycles

Cheryl Praeger, Joy Morris, Pablo Spiga, Simon Guest

arxiv:1306.1368 v1 · 2013-06-06 · 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{PR63QM4K7Y5DQSSJFWMOKV2LSR}

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	2026-05-18T03:21:34.444255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c7db8338afe3a384a492d98e5574b9458dfbb378417eb4e00d7153c120c7a54

Aliases

arxiv: 1306.1368 · arxiv_version: 1306.1368v1 · doi: 10.48550/arxiv.1306.1368 · pith_short_12: PR63QM4K7Y5D · pith_short_16: PR63QM4K7Y5DQSSJ · pith_short_8: PR63QM4K

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/PR63QM4K7Y5DQSSJFWMOKV2LSR \
  | 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: 7c7db8338afe3a384a492d98e5574b9458dfbb378417eb4e00d7153c120c7a54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08cf8aa4a5737481e710746b0be28c50284997d32425cece52c43c88d5c8a971",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-06-06T10:44:22Z",
    "title_canon_sha256": "42d8c4f51a0c4b1d4c493b0098271c3b199c5c4e0c2dc930ac266622bd557db2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1368",
    "kind": "arxiv",
    "version": 1
  }
}