Pith Number

pith:5F5NYXNF

pith:2026:5F5NYXNFKYVHF5CBP3KJLQ2IXK

not attested not anchored not stored refs pending

An organizing principle in the study of the Jacobian Conjecture

Frederico Xavier

arxiv:2606.22041 v1 · 2026-06-20 · 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{5F5NYXNFKYVHF5CBP3KJLQ2IXK}

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	2026-06-23T02:13:06.221919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e97adc5da5562a72f4417ed495c348bab4fdaede10307f935f2484b7b43d526e

Aliases

arxiv: 2606.22041 · arxiv_version: 2606.22041v1 · doi: 10.48550/arxiv.2606.22041 · pith_short_12: 5F5NYXNFKYVH · pith_short_16: 5F5NYXNFKYVHF5CB · pith_short_8: 5F5NYXNF

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/5F5NYXNFKYVHF5CBP3KJLQ2IXK \
  | 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: e97adc5da5562a72f4417ed495c348bab4fdaede10307f935f2484b7b43d526e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2d6dfa9f1416723cfb4817214872e2467bbb0eabc641ccce3ef81d3d94788ae",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-06-20T13:43:19Z",
    "title_canon_sha256": "a0002fdc990aec6f261746a0cb238ce8347acbe7c050381d531dc2e58a321470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22041",
    "kind": "arxiv",
    "version": 1
  }
}