Pith Number

pith:4CBLB6U5

pith:2007:4CBLB6U5WV2N57LPNQ36OZT6TO

not attested not anchored not stored refs pending

Plane Jacobian conjecture for simple polynomials

Nguyen van Chau

arxiv:0711.3894 v1 · 2007-11-25 · 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{4CBLB6U5WV2N57LPNQ36OZT6TO}

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	2026-05-18T00:35:36.554855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e082b0fa9db574defd6f6c37e7667e9bab1100c39d4422b1b76b05b9b98c81e2

Aliases

arxiv: 0711.3894 · arxiv_version: 0711.3894v1 · doi: 10.48550/arxiv.0711.3894 · pith_short_12: 4CBLB6U5WV2N · pith_short_16: 4CBLB6U5WV2N57LP · pith_short_8: 4CBLB6U5

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/4CBLB6U5WV2N57LPNQ36OZT6TO \
  | 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: e082b0fa9db574defd6f6c37e7667e9bab1100c39d4422b1b76b05b9b98c81e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c292d3e292c0a7e23be3b70c2e1441708d3a48a0a7492c3567a6f1406e67d677",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-11-25T11:44:37Z",
    "title_canon_sha256": "52e4c3505b14c9d85c900b42e5502d55967f83a0c186209b72078517a0f4dec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.3894",
    "kind": "arxiv",
    "version": 1
  }
}