Pith Number

pith:IL7ZR7IK

pith:2019:IL7ZR7IKHUXXS4D44A3N5U2ZDW

not attested not anchored not stored refs pending

Uniform Bounds for Periods of Endomorphisms of Varieties

Keping Huang

arxiv:1908.06231 v3 · 2019-08-17 · math.NT · 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{IL7ZR7IKHUXXS4D44A3N5U2ZDW}

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	2026-07-05T00:38:33.293460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42ff98fd0a3d2f79707ce036ded3591d83902668fa1935f28ba5ba3c7424c6c7

Aliases

arxiv: 1908.06231 · arxiv_version: 1908.06231v3 · doi: 10.48550/arxiv.1908.06231 · pith_short_12: IL7ZR7IKHUXX · pith_short_16: IL7ZR7IKHUXXS4D4 · pith_short_8: IL7ZR7IK

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/IL7ZR7IKHUXXS4D44A3N5U2ZDW \
  | 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: 42ff98fd0a3d2f79707ce036ded3591d83902668fa1935f28ba5ba3c7424c6c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06cb4005e97a67359687e79598e7cb62356309aa47ba513d540138b282336cd7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-17T03:20:48Z",
    "title_canon_sha256": "dd89c483feda7685d5b9d0a538dd569efbc9ab2cb118ffce3507ed9572b0a976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06231",
    "kind": "arxiv",
    "version": 3
  }
}