Pith Number

pith:233EMVX5

pith:2015:233EMVX5BXREGSUCCE27QPYNE4

not attested not anchored not stored refs pending

Moduli Interpretations for Noncongruence Modular Curves

William Yun Chen

arxiv:1510.05687 v5 · 2015-10-19 · 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{233EMVX5BXREGSUCCE27QPYNE4}

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	2026-05-18T00:35:49.058090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6f64656fd0de2434a821135f83f0d2714df039204e11428574edd7e8c37c9fb

Aliases

arxiv: 1510.05687 · arxiv_version: 1510.05687v5 · doi: 10.48550/arxiv.1510.05687 · pith_short_12: 233EMVX5BXRE · pith_short_16: 233EMVX5BXREGSUC · pith_short_8: 233EMVX5

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/233EMVX5BXREGSUCCE27QPYNE4 \
  | 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: d6f64656fd0de2434a821135f83f0d2714df039204e11428574edd7e8c37c9fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8ee52c790e06059b23a616552315ab5a5346196c00b7180288400b67578a835",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-10-19T20:50:47Z",
    "title_canon_sha256": "25a50ed42c89d5043a936c1533b4cbc3ec2682c123e22dc82260e00b58c4e0f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05687",
    "kind": "arxiv",
    "version": 5
  }
}