Pith Number

pith:RNLX4OPF

pith:2012:RNLX4OPFHDTZAW4FTZIZ4IICAF

not attested not anchored not stored refs pending

A closed form expression for the Drinfeld modular polynomial $\Phi_T(X,Y)$

Alp Bassa, Peter Beelen

arxiv:1203.6288 v1 · 2012-03-28 · 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{RNLX4OPFHDTZAW4FTZIZ4IICAF}

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	2026-05-18T03:59:03.701798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b577e39e538e7905b859e519e210201665ccda9697bbe74889817cc9d58790f

Aliases

arxiv: 1203.6288 · arxiv_version: 1203.6288v1 · doi: 10.48550/arxiv.1203.6288 · pith_short_12: RNLX4OPFHDTZ · pith_short_16: RNLX4OPFHDTZAW4F · pith_short_8: RNLX4OPF

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/RNLX4OPFHDTZAW4FTZIZ4IICAF \
  | 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: 8b577e39e538e7905b859e519e210201665ccda9697bbe74889817cc9d58790f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a471c94616d845088278813d5fec52ba8e93838681c9de44f8994e7021e6f99",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-28T15:08:12Z",
    "title_canon_sha256": "9236e4a68df20cac3fc91eb69ea2a7d196fb60d4db09f54841ca50d422e436aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6288",
    "kind": "arxiv",
    "version": 1
  }
}