Pith Number

pith:QARX5RGU

pith:2010:QARX5RGUHF2C5A5NFQSSZ4OMJV

not attested not anchored not stored refs pending

On the modularity level of modular abelian varieties over number fields

Enrique Gonzalez-Jimenez, Xavier Guitart

arxiv:1002.0492 v1 · 2010-02-02 · 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{QARX5RGUHF2C5A5NFQSSZ4OMJV}

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	2026-05-18T02:37:45.068379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80237ec4d439742e83ad2c252cf1cc4d5c5e88fd92d55d1f54ca050c0b540226

Aliases

arxiv: 1002.0492 · arxiv_version: 1002.0492v1 · doi: 10.48550/arxiv.1002.0492 · pith_short_12: QARX5RGUHF2C · pith_short_16: QARX5RGUHF2C5A5N · pith_short_8: QARX5RGU

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/QARX5RGUHF2C5A5NFQSSZ4OMJV \
  | 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: 80237ec4d439742e83ad2c252cf1cc4d5c5e88fd92d55d1f54ca050c0b540226

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cc5b47585c6dcc8174d40c6772a64f98638de002f040de60fc9fa0d02295045",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-02-02T14:07:22Z",
    "title_canon_sha256": "467fd59154a92cf0caeb1f76743ef53ba3b29aa295e950005e3a9f8b5a0db62d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0492",
    "kind": "arxiv",
    "version": 1
  }
}