Pith Number

pith:GPQWHQUZ

pith:2010:GPQWHQUZQPCKHIYSAI4TOEDRZY

not attested not anchored not stored refs pending

A note on the plane Jacobian conjecture

Nguyen van Chau

arxiv:1005.3866 v2 · 2010-05-21 · 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{GPQWHQUZQPCKHIYSAI4TOEDRZY}

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	2026-05-18T00:35:36.511440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33e163c29983c4a3a3120239371071ce3871be697bfe4f92b716fffd63f3321b

Aliases

arxiv: 1005.3866 · arxiv_version: 1005.3866v2 · doi: 10.48550/arxiv.1005.3866 · pith_short_12: GPQWHQUZQPCK · pith_short_16: GPQWHQUZQPCKHIYS · pith_short_8: GPQWHQUZ

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/GPQWHQUZQPCKHIYSAI4TOEDRZY \
  | 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: 33e163c29983c4a3a3120239371071ce3871be697bfe4f92b716fffd63f3321b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e131c6ba718dc4a8bb725d564929f655e600c124cafccd9b45b4828617eda7d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-05-21T00:49:03Z",
    "title_canon_sha256": "fdb0d2d94627041c34cc3927777da269e11aa5b98cda01421b5526f065f5d12f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3866",
    "kind": "arxiv",
    "version": 2
  }
}