Pith Number

pith:54FSRD5I

pith:2009:54FSRD5IJW73GIQDM25WXWBWDP

not attested not anchored not stored refs pending

Polarized endomorphisms of uniruled varieties (with Appendix by Y. Fujimoto and N. Nakayama)

De-Qi Zhang

arxiv:0903.1256 v1 · 2009-03-06 · 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{54FSRD5IJW73GIQDM25WXWBWDP}

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	2026-05-17T23:53:20.050597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef0b288fa84dbfb3220366bb6bd8361bfbf8a4fd8c1436b836f3721255acc175

Aliases

arxiv: 0903.1256 · arxiv_version: 0903.1256v1 · doi: 10.48550/arxiv.0903.1256 · pith_short_12: 54FSRD5IJW73 · pith_short_16: 54FSRD5IJW73GIQD · pith_short_8: 54FSRD5I

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/54FSRD5IJW73GIQDM25WXWBWDP \
  | 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: ef0b288fa84dbfb3220366bb6bd8361bfbf8a4fd8c1436b836f3721255acc175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ed6578f7501ca5afd864da8f0f221b48d185fd77a54a53663436a5a0c8b0d18",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-06T17:03:52Z",
    "title_canon_sha256": "832604570361657600005249f1669130456f6b1bd1d3dccb6a9e2d4c0ded102a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1256",
    "kind": "arxiv",
    "version": 1
  }
}