Pith Number

pith:GJGMR7AF

pith:2005:GJGMR7AFRKD76ONJBLYZGAPG4W

not attested not anchored not stored refs pending

The Jacobian Conjecture is stably equivalent to the Dixmier Conjecture

Alexei Belov-Kanel, Maxim Kontsevich

arxiv:math/0512171 v2 · 2005-12-08 · math.RA · math.AC · 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{GJGMR7AFRKD76ONJBLYZGAPG4W}

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	2026-05-18T00:29:02.188042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

324cc8fc058a87ff39a90af19301e6e5bec55ceaabc5cc664b151ed87f13afa3

Aliases

arxiv: math/0512171 · arxiv_version: math/0512171v2 · doi: 10.48550/arxiv.math/0512171 · pith_short_12: GJGMR7AFRKD7 · pith_short_16: GJGMR7AFRKD76ONJ · pith_short_8: GJGMR7AF

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/GJGMR7AFRKD76ONJBLYZGAPG4W \
  | 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: 324cc8fc058a87ff39a90af19301e6e5bec55ceaabc5cc664b151ed87f13afa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4632ba2e46c9ec0ffb25b1c191e8371a0ea5e0e0286996f54e96568c27785ea",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2005-12-08T11:14:26Z",
    "title_canon_sha256": "8a1c647b3892f491b7b99907c152f00b96ccbad5be00d10a254bab78a00203fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512171",
    "kind": "arxiv",
    "version": 2
  }
}