Pith Number

pith:XQABWLBB

pith:2010:XQABWLBBABCLBJ4QYLY2XXQ3J5

not attested not anchored not stored refs pending

Classification of non-degenerate projective varieties with non-zero prolongation and application to target rigidity

Baohua Fu, Jun-Muk Hwang

arxiv:1011.4751 v1 · 2010-11-22 · 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{XQABWLBBABCLBJ4QYLY2XXQ3J5}

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	2026-05-18T04:35:04.032413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc001b2c210044b0a790c2f1abde1b4f6434a90a6dbe70d0ef51a729c415e86c

Aliases

arxiv: 1011.4751 · arxiv_version: 1011.4751v1 · doi: 10.48550/arxiv.1011.4751 · pith_short_12: XQABWLBBABCL · pith_short_16: XQABWLBBABCLBJ4Q · pith_short_8: XQABWLBB

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/XQABWLBBABCLBJ4QYLY2XXQ3J5 \
  | 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: bc001b2c210044b0a790c2f1abde1b4f6434a90a6dbe70d0ef51a729c415e86c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75dad169bfb792ed20e3c61dc6bf0e2a4faf3cf0566ca31bffb552342ed4469d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-22T09:05:27Z",
    "title_canon_sha256": "a52cad66f5b482bd2350aaf173268cadc4bf9fcf513b9bc299b0f9a21ca785da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4751",
    "kind": "arxiv",
    "version": 1
  }
}