Pith Number

pith:JDRIX7D3

pith:2005:JDRIX7D3Z7NT2TFXTRS7MN53OD

not attested not anchored not stored refs pending

The Jacobian Conjecture as a problem in combinatorics

David Wright

arxiv:math/0511214 v2 · 2005-11-08 · math.CO · 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{JDRIX7D3Z7NT2TFXTRS7MN53OD}

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	2026-07-04T14:51:40.570914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48e28bfc7bcfdb3d4cb79c65f637bb70fc95c2601ea57790eb0a6f24f2d689b4

Aliases

arxiv: math/0511214 · arxiv_version: math/0511214v2 · doi: 10.48550/arxiv.math/0511214 · pith_short_12: JDRIX7D3Z7NT · pith_short_16: JDRIX7D3Z7NT2TFX · pith_short_8: JDRIX7D3

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/JDRIX7D3Z7NT2TFXTRS7MN53OD \
  | 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: 48e28bfc7bcfdb3d4cb79c65f637bb70fc95c2601ea57790eb0a6f24f2d689b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "377250009f6bf7ca205a2b9972d8505428816352e01d5d487c7e0a821fa30ada",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-11-08T20:49:46Z",
    "title_canon_sha256": "b28ef95eba13461923ca0d8aa1a65cd00b84c1987a64fce60b4361658486fb35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511214",
    "kind": "arxiv",
    "version": 2
  }
}