Pith Number

pith:VJSQCD3H

pith:2009:VJSQCD3HE34L2ABEYSTMZTVKD6

not attested not anchored not stored refs pending

Normal subgroup generated by a plane polynomial automorphism

Jean-Philippe Furter, St\'ephane Lamy

arxiv:0910.1616 v2 · 2009-10-08 · math.GR · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJSQCD3HE34L2ABEYSTMZTVKD6}

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	2026-05-18T00:17:55.886218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa65010f6726f8bd0024c4a6ccceaa1fb23773452ba873556044a78b9a466294

Aliases

arxiv: 0910.1616 · arxiv_version: 0910.1616v2 · doi: 10.48550/arxiv.0910.1616 · pith_short_12: VJSQCD3HE34L · pith_short_16: VJSQCD3HE34L2ABE · pith_short_8: VJSQCD3H

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/VJSQCD3HE34L2ABEYSTMZTVKD6 \
  | 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: aa65010f6726f8bd0024c4a6ccceaa1fb23773452ba873556044a78b9a466294

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f8a7d71f0bd804f699d7b5b977d865c12054d64d7539358ca5e66746978f0b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-10-08T21:17:09Z",
    "title_canon_sha256": "8b66a10a247753f423ac310bbddbd357de2a44e662ccca8a73d21c329dbe8e4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1616",
    "kind": "arxiv",
    "version": 2
  }
}