Pith Number

pith:ZAVE2SYE

pith:2009:ZAVE2SYEU4OJR4IFCFQL64URDG

not attested not anchored not stored refs pending

Polarized endomorphisms of complex normal varieties

De-Qi Zhang, Noboru Nakayama

arxiv:0908.1688 v2 · 2009-08-12 · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAVE2SYEU4OJR4IFCFQL64URDG}

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	2026-05-18T00:05:15.142699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c82a4d4b04a71c98f1051160bf7291198fd962ef51a0e6000e9a5fd59c2aa686

Aliases

arxiv: 0908.1688 · arxiv_version: 0908.1688v2 · doi: 10.48550/arxiv.0908.1688 · pith_short_12: ZAVE2SYEU4OJ · pith_short_16: ZAVE2SYEU4OJR4IF · pith_short_8: ZAVE2SYE

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/ZAVE2SYEU4OJR4IFCFQL64URDG \
  | 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: c82a4d4b04a71c98f1051160bf7291198fd962ef51a0e6000e9a5fd59c2aa686

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43f68ea3f4de436af07e0627e6ff870314b7d9a41d87eb6b48ecfdc51ab9e75a",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-08-12T12:20:13Z",
    "title_canon_sha256": "614f60eb5c66359d96b99df7204c1c52c185745dbb1f7dcff122742cbf66026b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.1688",
    "kind": "arxiv",
    "version": 2
  }
}