Pith Number

pith:WQ6APDNE

pith:2010:WQ6APDNEYJJUBUZ2SDUU5LZ6AF

not attested not anchored not stored refs pending

On the lifting of the Nagata automorphism

Alexei Belov-Kanel, Jie-Tai Yu

arxiv:1011.3349 v4 · 2010-11-15 · math.AC · math.AG · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQ6APDNEYJJUBUZ2SDUU5LZ6AF}

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	2026-05-18T00:29:06.157458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b43c078da4c25340d33a90e94eaf3e0160a5901c4e24a3662e4edfceef2776eb

Aliases

arxiv: 1011.3349 · arxiv_version: 1011.3349v4 · doi: 10.48550/arxiv.1011.3349 · pith_short_12: WQ6APDNEYJJU · pith_short_16: WQ6APDNEYJJUBUZ2 · pith_short_8: WQ6APDNE

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/WQ6APDNEYJJUBUZ2SDUU5LZ6AF \
  | 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: b43c078da4c25340d33a90e94eaf3e0160a5901c4e24a3662e4edfceef2776eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b7ec6e05956feda6be1a89aabdfd368c3570e18e6bbf629cb316bbcc0fe2d5",
    "cross_cats_sorted": [
      "math.AG",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-11-15T11:45:39Z",
    "title_canon_sha256": "f0c0ce283132b933665739baeb0138c682e1fa7b3f6240aab0e17defca8bb2f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3349",
    "kind": "arxiv",
    "version": 4
  }
}