Pith Number

pith:HD2VS3DY

pith:2000:HD2VS3DYSG7QM4YOUJRHCMCDIS

not attested not anchored not stored refs pending

Modularity of the Rankin-Selberg L-series, and multiplicity one for SL(2)

Dinakar Ramakrishnan

arxiv:math/0007203 v1 · 2000-07-01 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HD2VS3DYSG7QM4YOUJRHCMCDIS}

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	2026-05-18T01:05:38.418773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38f5596c7891bf06730ea26271304344b4b5a7e08a4fcb646b44bfc03fbe5ec9

Aliases

arxiv: math/0007203 · arxiv_version: math/0007203v1 · doi: 10.48550/arxiv.math/0007203 · pith_short_12: HD2VS3DYSG7Q · pith_short_16: HD2VS3DYSG7QM4YO · pith_short_8: HD2VS3DY

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/HD2VS3DYSG7QM4YOUJRHCMCDIS \
  | 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: 38f5596c7891bf06730ea26271304344b4b5a7e08a4fcb646b44bfc03fbe5ec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f504e09143a1c7897d28c18e6ea9ddfd15d1796e63dd8ad7fc01fec74b52556c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2000-07-01T00:00:00Z",
    "title_canon_sha256": "05bde6df49b4a6b9adacc2d7cae3eec73d520ff8bda9fd6a6e0d507bc34942f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0007203",
    "kind": "arxiv",
    "version": 1
  }
}