Pith Number

pith:FZVYOVQ6

pith:2013:FZVYOVQ6LSSFZDXJVN7262EUKQ

not attested not anchored not stored refs pending

Reduction Theorems for the Strong Real Jacobian Conjecture

L. Andrew Campbell

arxiv:1303.3853 v4 · 2013-03-15 · 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{FZVYOVQ6LSSFZDXJVN7262EUKQ}

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	2026-05-18T03:01:10.786044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e6b87561e5ca45c8ee9ab7faf68945434be1147581d5d2275729a2f3f8577a9

Aliases

arxiv: 1303.3853 · arxiv_version: 1303.3853v4 · doi: 10.48550/arxiv.1303.3853 · pith_short_12: FZVYOVQ6LSSF · pith_short_16: FZVYOVQ6LSSFZDXJ · pith_short_8: FZVYOVQ6

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/FZVYOVQ6LSSFZDXJVN7262EUKQ \
  | 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: 2e6b87561e5ca45c8ee9ab7faf68945434be1147581d5d2275729a2f3f8577a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab995e6f93d5bf5314b6d055608a4ea63c382f06a053c764e76cd14e2674f96c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-15T18:29:52Z",
    "title_canon_sha256": "ef850a76f107ce32d0671ab3f9fc248bbae7839d6cfac5ebf23ddf102fa745a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3853",
    "kind": "arxiv",
    "version": 4
  }
}