Pith Number

pith:VDQD2IIL

pith:2015:VDQD2IILBQ62IDLECPLG5ULAWW

not attested not anchored not stored refs pending

A new proof of a known special case of the Jacobian Conjecture

Vered Moskowicz

arxiv:1505.07303 v3 · 2015-05-27 · 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{VDQD2IILBQ62IDLECPLG5ULAWW}

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	2026-05-18T01:46:13.181288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8e03d210b0c3da40d6413d66ed160b5867b5360c1ba41afe924d0365fc2e3bc

Aliases

arxiv: 1505.07303 · arxiv_version: 1505.07303v3 · doi: 10.48550/arxiv.1505.07303 · pith_short_12: VDQD2IILBQ62 · pith_short_16: VDQD2IILBQ62IDLE · pith_short_8: VDQD2IIL

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/VDQD2IILBQ62IDLECPLG5ULAWW \
  | 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: a8e03d210b0c3da40d6413d66ed160b5867b5360c1ba41afe924d0365fc2e3bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "174b8bb8f2f9542c477dd5d02a57107874cedb61997e9ac54dd4bac64ef1cd03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-05-27T19:57:26Z",
    "title_canon_sha256": "2fa8a2d6f5c7e0ac53975b956461c5c02ab93c73a621b987eb95bbfcfe38992d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07303",
    "kind": "arxiv",
    "version": 3
  }
}