Pith Number

pith:ISDZ3P4Q

pith:2013:ISDZ3P4Q3SOWT4YAJZGWTIEVP4

not attested not anchored not stored refs pending

Finite primitive permutation groups containing a permutation having at most four cycles

Cheryl Praeger, Joy Morris, Pablo Spiga, Simon Guest

arxiv:1307.6881 v1 · 2013-07-25 · 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{ISDZ3P4Q3SOWT4YAJZGWTIEVP4}

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	2026-05-18T03:17:33.556356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44879dbf90dc9d69f3004e4d69a0957f23a5e62f6370dd252135232ab2167d38

Aliases

arxiv: 1307.6881 · arxiv_version: 1307.6881v1 · doi: 10.48550/arxiv.1307.6881 · pith_short_12: ISDZ3P4Q3SOW · pith_short_16: ISDZ3P4Q3SOWT4YA · pith_short_8: ISDZ3P4Q

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/ISDZ3P4Q3SOWT4YAJZGWTIEVP4 \
  | 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: 44879dbf90dc9d69f3004e4d69a0957f23a5e62f6370dd252135232ab2167d38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae7973ebdf0649650a0be46ecb86fd8e473248fa598311251bdf1d9e3b712def",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-07-25T21:09:05Z",
    "title_canon_sha256": "89efe24ad3eaf73d0b31950380fb39c7217fb355445bc9a90aac838f387faaae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6881",
    "kind": "arxiv",
    "version": 1
  }
}