Pith Number

pith:22VXNUPL

pith:2003:22VXNUPLIOLKDZOOKQ7R5GXTTV

not attested not anchored not stored refs pending

Familles de polynomes liees aux courbes modulaires X_1(l) unicursales et points rationnels non-triviaux de courbes elliptiques quotient

Andreas M. Schoepp, Franck Leprevost, Michael E. Pohst

arxiv:math/0301370 v1 · 2003-01-31 · 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{22VXNUPLIOLKDZOOKQ7R5GXTTV}

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	2026-05-18T01:38:29.220100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6ab76d1eb4396a1e5ce543f1e9af39d47b492d1312d60809d2c6b458597b284

Aliases

arxiv: math/0301370 · arxiv_version: math/0301370v1 · doi: 10.48550/arxiv.math/0301370 · pith_short_12: 22VXNUPLIOLK · pith_short_16: 22VXNUPLIOLKDZOO · pith_short_8: 22VXNUPL

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/22VXNUPLIOLKDZOOKQ7R5GXTTV \
  | 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: d6ab76d1eb4396a1e5ce543f1e9af39d47b492d1312d60809d2c6b458597b284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b76eb958e5f41747f3ee60574760be9a9c12e79f6d2ed8935d612deed2ef6f0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-01-31T14:29:07Z",
    "title_canon_sha256": "487f6c2672881550bb71de2df04950a5be796e238fab45b545e70efa2d4d7591"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301370",
    "kind": "arxiv",
    "version": 1
  }
}