Pith Number

pith:H5SNINY2

pith:2018:H5SNINY2DFA2EQXYIZE3IFFRHD

not attested not anchored not stored refs pending

The average number of rational points on genus two curves is bounded

Levent Alpoge

arxiv:1804.05859 v1 · 2018-04-16 · 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{H5SNINY2DFA2EQXYIZE3IFFRHD}

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	2026-05-18T00:18:24.856761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f64d4371a1941a242f84649b414b138e8beabbc7064fa3801bc546751ef3495

Aliases

arxiv: 1804.05859 · arxiv_version: 1804.05859v1 · doi: 10.48550/arxiv.1804.05859 · pith_short_12: H5SNINY2DFA2 · pith_short_16: H5SNINY2DFA2EQXY · pith_short_8: H5SNINY2

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/H5SNINY2DFA2EQXYIZE3IFFRHD \
  | 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: 3f64d4371a1941a242f84649b414b138e8beabbc7064fa3801bc546751ef3495

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37bf0977086979c427740f7c22fa0299a64f5a136fd0b317e132952858066e6",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-16T18:00:13Z",
    "title_canon_sha256": "fd734436015615f43c84733a9e9e0a25904733ec3e820c8540f0d586bdf1b853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05859",
    "kind": "arxiv",
    "version": 1
  }
}