Pith Number

pith:KAN5226P

pith:2012:KAN5226PBWI7JPAUGIGIFZDRLQ

not attested not anchored not stored refs pending

A new proof of the Abhyankar-Moh-Suzuki Theorem

Leonid Makar-Limanov

arxiv:1212.0163 v1 · 2012-12-01 · 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{KAN5226PBWI7JPAUGIGIFZDRLQ}

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	2026-05-18T03:39:27.070802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

501bdd6bcf0d91f4bc14320c82e4715c3601008406224fdd4c7d165985437ecf

Aliases

arxiv: 1212.0163 · arxiv_version: 1212.0163v1 · doi: 10.48550/arxiv.1212.0163 · pith_short_12: KAN5226PBWI7 · pith_short_16: KAN5226PBWI7JPAU · pith_short_8: KAN5226P

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/KAN5226PBWI7JPAUGIGIFZDRLQ \
  | 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: 501bdd6bcf0d91f4bc14320c82e4715c3601008406224fdd4c7d165985437ecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a4a8af3844544bd71d75cc818b881a3dffc686858b779922699e60a2ad14dbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-12-01T21:26:53Z",
    "title_canon_sha256": "55e308550fa7764616d22ad9c270307105d59f377e520a73f0a57fb97d750537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0163",
    "kind": "arxiv",
    "version": 1
  }
}