Pith Number

pith:VW4RA37K

pith:2014:VW4RA37K7RUEGWUUIBNGA3SMWD

not attested not anchored not stored refs pending

The Jacobian Conjecture, a Reduction of the Degree to the Quadratic Case

A. de Goursac, A. Sportiello, A. Tanasa

arxiv:1411.6558 v2 · 2014-11-17 · math.AG · hep-th · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VW4RA37K7RUEGWUUIBNGA3SMWD}

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	2026-05-18T00:12:46.288970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adb9106feafc68435a94405a606e4cb0ff37e6310609fb5d3189ca5c1787c1e7

Aliases

arxiv: 1411.6558 · arxiv_version: 1411.6558v2 · doi: 10.48550/arxiv.1411.6558 · pith_short_12: VW4RA37K7RUE · pith_short_16: VW4RA37K7RUEGWUU · pith_short_8: VW4RA37K

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/VW4RA37K7RUEGWUUIBNGA3SMWD \
  | 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: adb9106feafc68435a94405a606e4cb0ff37e6310609fb5d3189ca5c1787c1e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c05f85fef37ac92fde66a5388b2e9756d9fef9abcdb68bff2272fc8a9a53ec81",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-11-17T16:24:12Z",
    "title_canon_sha256": "b6a630a91c0c1ddd3f154eab94ac18fc22dba2fe7a552d73002d4254b12560bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6558",
    "kind": "arxiv",
    "version": 2
  }
}