Pith Number

pith:H4Q7QHWQ

pith:2012:H4Q7QHWQRWNNJGB2U6NSP3KS4H

not attested not anchored not stored refs pending

Pinchuk maps, function fields, and real Jacobian conjectures

L. Andrew Campbell

arxiv:1202.2949 v4 · 2012-02-14 · 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{H4Q7QHWQRWNNJGB2U6NSP3KS4H}

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	2026-05-18T03:36:06.510294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f21f81ed08d9ad4983aa79b27ed52e1da795fcbb9410b1998d2e7fc482a37a8

Aliases

arxiv: 1202.2949 · arxiv_version: 1202.2949v4 · doi: 10.48550/arxiv.1202.2949 · pith_short_12: H4Q7QHWQRWNN · pith_short_16: H4Q7QHWQRWNNJGB2 · pith_short_8: H4Q7QHWQ

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/H4Q7QHWQRWNNJGB2U6NSP3KS4H \
  | 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: 3f21f81ed08d9ad4983aa79b27ed52e1da795fcbb9410b1998d2e7fc482a37a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27efda921a51a90306d560f3c9aa17c60f399dcfb04accf1d0005dd537fe2bc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-14T06:56:14Z",
    "title_canon_sha256": "82f391097a6e4c16ab377d7560f6f6bc09974d84467d32d1606d884936bddad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2949",
    "kind": "arxiv",
    "version": 4
  }
}