Pith Number

pith:QI6ZQN3V

pith:2019:QI6ZQN3VSID32DD7ZOHNREB7JQ

not attested not anchored not stored refs pending

Some classes satisfying the 2-dimensional Jacobian conjecture and a proof of the complex conjecture until degree 104

Thuy Nguyen

arxiv:1902.05923 v5 · 2019-02-15 · 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{QI6ZQN3VSID32DD7ZOHNREB7JQ}

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	2026-07-05T10:39:57.480859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

823d9837759207bd0c7fcb8ed8903f4c25f0872a79e60b574a556c3f6f511dc6

Aliases

arxiv: 1902.05923 · arxiv_version: 1902.05923v5 · doi: 10.48550/arxiv.1902.05923 · pith_short_12: QI6ZQN3VSID3 · pith_short_16: QI6ZQN3VSID32DD7 · pith_short_8: QI6ZQN3V

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/QI6ZQN3VSID32DD7ZOHNREB7JQ \
  | 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: 823d9837759207bd0c7fcb8ed8903f4c25f0872a79e60b574a556c3f6f511dc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbe345d43af4e52989d9c9bc6f2fd125f6c1297ca58fb40c9989bef322ee37c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-02-15T18:11:19Z",
    "title_canon_sha256": "12f2e1534b0f57615abffa831386f9c4997070dd09ffcb2cc834f424d280bd73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05923",
    "kind": "arxiv",
    "version": 5
  }
}