Pith Number

pith:NKHL4JPN

pith:2011:NKHL4JPNQ7YB7S54IRDXIRJCXD

not attested not anchored not stored refs pending

On the distribution of the number of points on a family of curves over finite fields

Alexandru Zaharescu, Kit-Ho Mak

arxiv:1110.4693 v1 · 2011-10-21 · 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{NKHL4JPNQ7YB7S54IRDXIRJCXD}

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	2026-05-18T04:10:35.293648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a8ebe25ed87f01fcbbc4447744522b8d647f74f4409a900a34e30caca569c8f

Aliases

arxiv: 1110.4693 · arxiv_version: 1110.4693v1 · doi: 10.48550/arxiv.1110.4693 · pith_short_12: NKHL4JPNQ7YB · pith_short_16: NKHL4JPNQ7YB7S54 · pith_short_8: NKHL4JPN

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/NKHL4JPNQ7YB7S54IRDXIRJCXD \
  | 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: 6a8ebe25ed87f01fcbbc4447744522b8d647f74f4409a900a34e30caca569c8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df674f416cd2f395aff1be1e8f22bef942a555ec75ab4d849fd4dfa597716ae8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-21T03:11:46Z",
    "title_canon_sha256": "4389538023b1408a66ed8ec4528120b217f2cc5b3c5b64afe7dbdfd2c1d35951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4693",
    "kind": "arxiv",
    "version": 1
  }
}