Pith Number

pith:AR3PRJEF

pith:2013:AR3PRJEFG77FFNDLQXEW524Q45

not attested not anchored not stored refs pending

The distribution of the first elementary divisor of the reductions of a generic Drinfeld module of arbitrary rank

Alina Carmen Cojocaru, Andrew Michael Shulman

arxiv:1304.2100 v2 · 2013-04-08 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AR3PRJEFG77FFNDLQXEW524Q45}

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	2026-05-18T03:07:23.533035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0476f8a48537fe52b46b85c96eeb90e75ac51ec116b2c7d87f3263f76e460163

Aliases

arxiv: 1304.2100 · arxiv_version: 1304.2100v2 · doi: 10.48550/arxiv.1304.2100 · pith_short_12: AR3PRJEFG77F · pith_short_16: AR3PRJEFG77FFNDL · pith_short_8: AR3PRJEF

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/AR3PRJEFG77FFNDLQXEW524Q45 \
  | 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: 0476f8a48537fe52b46b85c96eeb90e75ac51ec116b2c7d87f3263f76e460163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c45cd3ba739040699d4649592982fa3c9bf7713dc208e19915403256dfcc8d26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-08T04:42:07Z",
    "title_canon_sha256": "0cc7f361bb55afaba02cdf4e121904087161d682b7829f587ff4d75d6563545a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2100",
    "kind": "arxiv",
    "version": 2
  }
}