Pith Number

pith:4YCXX6YV

pith:2015:4YCXX6YVTCBXOAA2CXN2IPD2XY

not attested not anchored not stored refs pending

Jacobian Conjecture and Nilpotency

Elzbieta Adamus, Pawel Bogdan, Teresa Crespo, Zbigniew Hajto

arxiv:1508.02012 v1 · 2015-08-09 · 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{4YCXX6YVTCBXOAA2CXN2IPD2XY}

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	2026-05-18T01:35:34.496464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6057bfb15988377001a15dba43c7abe24a9753d52e959d511ca3d0ab598bf8f

Aliases

arxiv: 1508.02012 · arxiv_version: 1508.02012v1 · doi: 10.48550/arxiv.1508.02012 · pith_short_12: 4YCXX6YVTCBX · pith_short_16: 4YCXX6YVTCBXOAA2 · pith_short_8: 4YCXX6YV

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/4YCXX6YVTCBXOAA2CXN2IPD2XY \
  | 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: e6057bfb15988377001a15dba43c7abe24a9753d52e959d511ca3d0ab598bf8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b801e963209f1817ec536cf9650db8c815756d6fe2567db72c7a452d3bb8718",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-09T11:27:58Z",
    "title_canon_sha256": "cd96266fd3fba1cca16ee7ca90180b80a6de4d3a083c1de5f1835a0a7a753d8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02012",
    "kind": "arxiv",
    "version": 1
  }
}