Pith Number

pith:LM4GI2BZ

pith:2016:LM4GI2BZGQZZJ62NZIMCEP7X3Q

not attested not anchored not stored refs pending

Building blocks of polarized endomorphisms of normal projective varieties

De-Qi Zhang, Sheng Meng

arxiv:1606.01345 v4 · 2016-06-04 · 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{LM4GI2BZGQZZJ62NZIMCEP7X3Q}

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	2026-05-18T00:05:14.783403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b38646839343394fb4dca18223ff7dc2fecc579ca0b374977ca587c0d3ebcd9

Aliases

arxiv: 1606.01345 · arxiv_version: 1606.01345v4 · doi: 10.48550/arxiv.1606.01345 · pith_short_12: LM4GI2BZGQZZ · pith_short_16: LM4GI2BZGQZZJ62N · pith_short_8: LM4GI2BZ

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/LM4GI2BZGQZZJ62NZIMCEP7X3Q \
  | 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: 5b38646839343394fb4dca18223ff7dc2fecc579ca0b374977ca587c0d3ebcd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "413b8d3b60bc05fd25ea8ae6ed5c239ea41a787e1f4dd5992b60ada43be228ec",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-06-04T08:41:09Z",
    "title_canon_sha256": "98991072a3f60e5d1602b08bd0ab01c445760c9d0a4f3d4e9a1954404c226917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01345",
    "kind": "arxiv",
    "version": 4
  }
}