Pith Number

pith:LL6E6EUZ

pith:2014:LL6E6EUZ2HKGP67INBW45NOJW3

not attested not anchored not stored refs pending

On the shape of possible counterexamples to the Jacobian Conjecture

Christian Valqui, Jorge A. Guccione, Juan J. Guccione

arxiv:1401.1784 v3 · 2014-01-08 · 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{LL6E6EUZ2HKGP67INBW45NOJW3}

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	2026-05-18T01:13:21.247804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5afc4f1299d1d467fbe8686dceb5c9b6cef8faca10962930b37138ecf26775ea

Aliases

arxiv: 1401.1784 · arxiv_version: 1401.1784v3 · doi: 10.48550/arxiv.1401.1784 · pith_short_12: LL6E6EUZ2HKG · pith_short_16: LL6E6EUZ2HKGP67I · pith_short_8: LL6E6EUZ

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/LL6E6EUZ2HKGP67INBW45NOJW3 \
  | 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: 5afc4f1299d1d467fbe8686dceb5c9b6cef8faca10962930b37138ecf26775ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08956e799421f9384c76f1a510d171b786509d0a76510d92a3b7c39e05e8adc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-01-08T19:34:27Z",
    "title_canon_sha256": "b7550e7647f9d80edc4005627a09be5acb0cc0b336a43488d92e274636f87508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1784",
    "kind": "arxiv",
    "version": 3
  }
}