Pith Number

pith:HQGZN54V

pith:2007:HQGZN54V5RYKDZUVOHNWMADCBD

not attested not anchored not stored refs pending

Stable Tameness of Two-Dimensional Polynomial Automorphisms Over a Regular Ring

Arno van den Essen, David Wright, Joost Berson

arxiv:0707.3151 v10 · 2007-07-23 · math.AC · 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{HQGZN54V5RYKDZUVOHNWMADCBD}

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	2026-05-18T03:57:37.560504Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c0d96f795ec70a1e69571db66006208ef09883ae4955c2c5c1e0267a3128011

Aliases

arxiv: 0707.3151 · arxiv_version: 0707.3151v10 · doi: 10.48550/arxiv.0707.3151 · pith_short_12: HQGZN54V5RYK · pith_short_16: HQGZN54V5RYKDZUV · pith_short_8: HQGZN54V

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/HQGZN54V5RYKDZUVOHNWMADCBD \
  | 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: 3c0d96f795ec70a1e69571db66006208ef09883ae4955c2c5c1e0267a3128011

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6618f5c20210d4fa3c88eb424f136475fead1dfe2817b53a59b5818db3e145b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2007-07-23T17:42:17Z",
    "title_canon_sha256": "a9acb56de0ef2f4c2890fd551e61c5cf4fce1972187eb5871982ff8b289385e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.3151",
    "kind": "arxiv",
    "version": 10
  }
}