Pith Number

pith:CPPZL3XG

pith:2017:CPPZL3XGNJENKER5VJC7JO5QAW

not attested not anchored not stored refs pending

The Jacobian conjecture and injectivity conditions

Saminathan Ponnusamy, Victor V. Starkov

arxiv:1705.10921 v1 · 2017-05-31 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CPPZL3XGNJENKER5VJC7JO5QAW}

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	2026-05-18T00:43:19.857913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13df95eee66a48d5123daa45f4bbb005a29d9d71f862c9ad19b3e9bbd633e497

Aliases

arxiv: 1705.10921 · arxiv_version: 1705.10921v1 · doi: 10.48550/arxiv.1705.10921 · pith_short_12: CPPZL3XGNJEN · pith_short_16: CPPZL3XGNJENKER5 · pith_short_8: CPPZL3XG

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/CPPZL3XGNJENKER5VJC7JO5QAW \
  | 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: 13df95eee66a48d5123daa45f4bbb005a29d9d71f862c9ad19b3e9bbd633e497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d337b6c30b3d27b04a9a1c403fe881138fe3ba026eb0e18f2ca1a1c7eb49ee25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-05-31T02:35:35Z",
    "title_canon_sha256": "4376343ce7623276e2c8dafa1b5706b6bdf817b59e8f5c7aedfea95c44243ab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10921",
    "kind": "arxiv",
    "version": 1
  }
}