Pith Number

pith:AQXDKUK2

pith:2013:AQXDKUK2KUXQDUGQFXWIQBOJW3

not attested not anchored not stored refs pending

Computing in permutation groups without memory

Ben Fairbairn, Maximilien Gadouleau, Peter J. Cameron

arxiv:1310.6008 v1 · 2013-10-22 · cs.CC · cs.DM · 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{AQXDKUK2KUXQDUGQFXWIQBOJW3}

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	2026-05-18T03:09:23.480171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

042e35515a552f01d0d02dec8805c9b6fdf0e8cb194e14599320245367e7dfcc

Aliases

arxiv: 1310.6008 · arxiv_version: 1310.6008v1 · doi: 10.48550/arxiv.1310.6008 · pith_short_12: AQXDKUK2KUXQ · pith_short_16: AQXDKUK2KUXQDUGQ · pith_short_8: AQXDKUK2

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/AQXDKUK2KUXQDUGQFXWIQBOJW3 \
  | 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: 042e35515a552f01d0d02dec8805c9b6fdf0e8cb194e14599320245367e7dfcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83cba4f0acbafe190b604b3078a20db391073f23c2f44a75d95c616e912f24f8",
    "cross_cats_sorted": [
      "cs.DM",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-10-22T18:45:19Z",
    "title_canon_sha256": "7827ed44c9900dde67f2a6a216b5d4710fb490c549767b14ea3b4a6f0c6ddc6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6008",
    "kind": "arxiv",
    "version": 1
  }
}