Pith Number

pith:MP4RVHNH

pith:2008:MP4RVHNHAOV2I2LIJQRTUJXEZO

not attested not anchored not stored refs pending

Plane Jacobian Conjecture for rational polynomials

Nguyen van Chau

arxiv:0804.3172 v3 · 2008-04-20 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MP4RVHNHAOV2I2LIJQRTUJXEZO}

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	2026-05-18T00:35:36.542719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f91a9da703aba469684c233a26e4cbb2b09194698f51c86eec2b9452415ef1

Aliases

arxiv: 0804.3172 · arxiv_version: 0804.3172v3 · doi: 10.48550/arxiv.0804.3172 · pith_short_12: MP4RVHNHAOV2 · pith_short_16: MP4RVHNHAOV2I2LI · pith_short_8: MP4RVHNH

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/MP4RVHNHAOV2I2LIJQRTUJXEZO \
  | 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: 63f91a9da703aba469684c233a26e4cbb2b09194698f51c86eec2b9452415ef1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "887ca411c35f84d7143c47216df50abfd44c1a3df59c916522d4751738a1f5db",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-04-20T04:43:56Z",
    "title_canon_sha256": "95893221434fecc531a7c5b569d3b667b3cad894d4b903f13ebbe9e674fc4dde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.3172",
    "kind": "arxiv",
    "version": 3
  }
}