Pith Number

pith:ZVUOJ25P

pith:2013:ZVUOJ25PNANBTMMFBLATEYLSIH

not attested not anchored not stored refs pending

Permutation groups and transformation semigroups: results and problems

Jo\~ao Ara\'ujo, Peter J. Cameron

arxiv:1308.3585 v1 · 2013-08-16 · 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{ZVUOJ25PNANBTMMFBLATEYLSIH}

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	2026-05-18T03:15:44.482077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd68e4ebaf681a19b1850ac132617241d92f2c8b8084c2193b3300313f6ef87b

Aliases

arxiv: 1308.3585 · arxiv_version: 1308.3585v1 · doi: 10.48550/arxiv.1308.3585 · pith_short_12: ZVUOJ25PNANB · pith_short_16: ZVUOJ25PNANBTMMF · pith_short_8: ZVUOJ25P

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/ZVUOJ25PNANBTMMFBLATEYLSIH \
  | 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: cd68e4ebaf681a19b1850ac132617241d92f2c8b8084c2193b3300313f6ef87b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb0fe3ad387c9b64ed9f0ec9fa5309b0d10bc4ade4e20582ddf8fddd53d89c11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-08-16T09:38:11Z",
    "title_canon_sha256": "cb12face9448d90782ce594569a50cbc1774ee47d3d64ea0c01849c56bd023ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3585",
    "kind": "arxiv",
    "version": 1
  }
}