Pith Number

pith:AQEDV7DS

pith:2011:AQEDV7DSSWUWLPX6CKBYWZ2RXQ

not attested not anchored not stored refs pending

On graph-restrictive permutation groups

Gabriel Verret, Pablo Spiga, Primoz Potocnik

arxiv:1101.5186 v2 · 2011-01-27 · math.CO · 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{AQEDV7DSSWUWLPX6CKBYWZ2RXQ}

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	2026-05-18T04:30:04.465422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04083afc7295a965befe12838b6751bc05e4c23f3dd0cc2c0996357803209095

Aliases

arxiv: 1101.5186 · arxiv_version: 1101.5186v2 · doi: 10.48550/arxiv.1101.5186 · pith_short_12: AQEDV7DSSWUW · pith_short_16: AQEDV7DSSWUWLPX6 · pith_short_8: AQEDV7DS

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/AQEDV7DSSWUWLPX6CKBYWZ2RXQ \
  | 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: 04083afc7295a965befe12838b6751bc05e4c23f3dd0cc2c0996357803209095

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de6bdeaa3c6fe1503d0ccff1b0c1c305b1a7d5411e933d8301725e0cb5dba21",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-27T00:22:39Z",
    "title_canon_sha256": "04f9b1a678c6c799b369af407d76846b59d17542d6a9695bdb3bce146880b99b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5186",
    "kind": "arxiv",
    "version": 2
  }
}