Pith Number

pith:J6ARTDBD

pith:2025:J6ARTDBD5RHRBY46M75HJ77JAY

not attested not anchored not stored refs pending

The geometry of secondary terms in arithmetic statistics

Michael Kural

arxiv:2504.17909 v1 · 2025-04-24 · 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{J6ARTDBD5RHRBY46M75HJ77JAY}

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.

Cited by

1 paper in Pith

On the counting function of cubic function fields

Receipt and verification

First computed	2026-07-05T10:53:58.543497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f81198c23ec4f10e39e67fa74ffe906161d845cf9980f871ab10a080fac0ef2

Aliases

arxiv: 2504.17909 · arxiv_version: 2504.17909v1 · doi: 10.48550/arxiv.2504.17909 · pith_short_12: J6ARTDBD5RHR · pith_short_16: J6ARTDBD5RHRBY46 · pith_short_8: J6ARTDBD

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/J6ARTDBD5RHRBY46M75HJ77JAY \
  | 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: 4f81198c23ec4f10e39e67fa74ffe906161d845cf9980f871ab10a080fac0ef2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5c37d1aa440505661bff336b68302a276df6e5773caf06fe24a692643b88e54",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-24T19:54:31Z",
    "title_canon_sha256": "7133d98061584fb2d61f76fbc4e3276c5524d176bd39920d302f5a747d83b94b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.17909",
    "kind": "arxiv",
    "version": 1
  }
}