Pith Number

pith:FZ4KJ3CP

pith:2017:FZ4KJ3CPGD2BAJ7ZKYO3WOKNRL

not attested not anchored not stored refs pending

Polynomial maps with nilpotent Jacobians in dimension three II

Dan Yan

arxiv:1710.02802 v1 · 2017-10-08 · 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{FZ4KJ3CPGD2BAJ7ZKYO3WOKNRL}

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	2026-05-18T00:33:28.789948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e78a4ec4f30f41027f9561dbb394d8acb991f67eb8426324e3565a6cb323859

Aliases

arxiv: 1710.02802 · arxiv_version: 1710.02802v1 · doi: 10.48550/arxiv.1710.02802 · pith_short_12: FZ4KJ3CPGD2B · pith_short_16: FZ4KJ3CPGD2BAJ7Z · pith_short_8: FZ4KJ3CP

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/FZ4KJ3CPGD2BAJ7ZKYO3WOKNRL \
  | 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: 2e78a4ec4f30f41027f9561dbb394d8acb991f67eb8426324e3565a6cb323859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09365480a2d601fb62dd25f315ad36356fa5884c670af885d2d6f4b05c582d0d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-08T08:16:39Z",
    "title_canon_sha256": "038fd04b39d5e4c2194a0291603291e5c68ea6c6facc24f4e6de7942bd07707a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02802",
    "kind": "arxiv",
    "version": 1
  }
}