Pith Number

pith:OYX23HIE

pith:2021:OYX23HIEQKGEYCFKNKGZGAQGTR

not attested not anchored not stored refs pending

Equidistribution of rational points and the geometric sieve for toric varieties

Zhizhong Huang

arxiv:2111.01509 v2 · 2021-11-02 · 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{OYX23HIEQKGEYCFKNKGZGAQGTR}

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	2026-07-05T03:57:54.914861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

762fad9d04828c4c08aa6a8d9302069c501fb4b16337f29e9027975397f71680

Aliases

arxiv: 2111.01509 · arxiv_version: 2111.01509v2 · doi: 10.48550/arxiv.2111.01509 · pith_short_12: OYX23HIEQKGE · pith_short_16: OYX23HIEQKGEYCFK · pith_short_8: OYX23HIE

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/OYX23HIEQKGEYCFKNKGZGAQGTR \
  | 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: 762fad9d04828c4c08aa6a8d9302069c501fb4b16337f29e9027975397f71680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47b93fbe716cc8d3161977af9a1c0fb971fd705b19f5dba5cd555679fecf541a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-11-02T11:26:19Z",
    "title_canon_sha256": "0328243eeb192dac791832af206dd80b1b1abe73de19ffe2991f6f3e5b9e445b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.01509",
    "kind": "arxiv",
    "version": 2
  }
}