Pith Number

pith:ZBLB7HBW

pith:2001:ZBLB7HBWGLDKMV3BAKAQPHGXNG

not attested not anchored not stored refs pending

Non-extendable isomorphisms between affine varieties

Jie-Tai Yu, Vladimir Shpilrain

arxiv:math/0110232 v1 · 2001-10-21 · 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{ZBLB7HBWGLDKMV3BAKAQPHGXNG}

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	2026-05-18T01:05:37.536921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8561f9c3632c6a657610281079cd769a67b3d4c23dede8fa242f7d0357e29b6

Aliases

arxiv: math/0110232 · arxiv_version: math/0110232v1 · doi: 10.48550/arxiv.math/0110232 · pith_short_12: ZBLB7HBWGLDK · pith_short_16: ZBLB7HBWGLDKMV3B · pith_short_8: ZBLB7HBW

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/ZBLB7HBWGLDKMV3BAKAQPHGXNG \
  | 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: c8561f9c3632c6a657610281079cd769a67b3d4c23dede8fa242f7d0357e29b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b5321fb28e2094b9fa2ccc50f65a938aeea12fb8ac4fbd898f50b1531797586",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-10-21T03:55:22Z",
    "title_canon_sha256": "ed9a5f73a59a05dee52b7879e49bea96760945aebb144308a02387d2c59a9509"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110232",
    "kind": "arxiv",
    "version": 1
  }
}