Pith Number

pith:KXKQAWRO

pith:2019:KXKQAWRO7TZN7VZO3XF5QPILO6

not attested not anchored not stored refs pending

The rational cuspidal divisor class group of $X_0(N)$

Hwajong Yoo

arxiv:1908.06411 v4 · 2019-08-18 · 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{KXKQAWRO7TZN7VZO3XF5QPILO6}

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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

Rational torsion of generalised Drinfeld modular Jacobians of prime power level

Receipt and verification

First computed	2026-07-05T05:21:38.680394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55d5005a2efcf2dfd72eddcbd83d0b77a6c6766ab232111c0921844e39d94c9e

Aliases

arxiv: 1908.06411 · arxiv_version: 1908.06411v4 · doi: 10.48550/arxiv.1908.06411 · pith_short_12: KXKQAWRO7TZN · pith_short_16: KXKQAWRO7TZN7VZO · pith_short_8: KXKQAWRO

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/KXKQAWRO7TZN7VZO3XF5QPILO6 \
  | 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: 55d5005a2efcf2dfd72eddcbd83d0b77a6c6766ab232111c0921844e39d94c9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "404977eac00725d5721c0cac8a71080d053cef4fd8978a9afad9d39a797ebe20",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-18T09:43:37Z",
    "title_canon_sha256": "9517a7443a4fd9663c92304b525b6c03e20c1b93b4d67a851f5cced79a215f21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06411",
    "kind": "arxiv",
    "version": 4
  }
}