Pith Number

pith:OTJIGZOG

pith:2012:OTJIGZOGJDH3BAZGF5UON6PBWA

not attested not anchored not stored refs pending

On the Rational Real Jacobian Conjecture

L. Andrew Campbell

arxiv:1210.0251 v4 · 2012-09-30 · 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{OTJIGZOGJDH3BAZGF5UON6PBWA}

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	2026-05-18T03:07:03.907687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74d28365c648cfb083262f68e6f9e1b00cc6def1c1120614f061de84f4a18f9b

Aliases

arxiv: 1210.0251 · arxiv_version: 1210.0251v4 · doi: 10.48550/arxiv.1210.0251 · pith_short_12: OTJIGZOGJDH3 · pith_short_16: OTJIGZOGJDH3BAZG · pith_short_8: OTJIGZOG

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/OTJIGZOGJDH3BAZGF5UON6PBWA \
  | 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: 74d28365c648cfb083262f68e6f9e1b00cc6def1c1120614f061de84f4a18f9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cc7aa06ab1c64f571a61fce2be16be6a89807d12c608f95d32865d4942f5ded",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-30T22:43:34Z",
    "title_canon_sha256": "8b7d5d6f95972fed64c482389e7bc9af506034571babedd4844880505b4cde19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0251",
    "kind": "arxiv",
    "version": 4
  }
}