Pith Number

pith:XXFASOPK

pith:2001:XXFASOPKBOVNDUM2GW44FZ6KCC

not attested not anchored not stored refs pending

On the exceptional zeros of Rankin-Selberg L-functions

Dinakar Ramakrishnan, Song Wang

arxiv:math/0108054 v1 · 2001-08-08 · 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{XXFASOPKBOVNDUM2GW44FZ6KCC}

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	2026-07-04T14:35:28.092800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdca0939ea0baad1d19a35b9c2e7ca108d7d927175db56cda465e4f6d45b26bb

Aliases

arxiv: math/0108054 · arxiv_version: math/0108054v1 · doi: 10.48550/arxiv.math/0108054 · pith_short_12: XXFASOPKBOVN · pith_short_16: XXFASOPKBOVNDUM2 · pith_short_8: XXFASOPK

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/XXFASOPKBOVNDUM2GW44FZ6KCC \
  | 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: bdca0939ea0baad1d19a35b9c2e7ca108d7d927175db56cda465e4f6d45b26bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5dde89c3ae87bb4cd3aaf071b022914080c4b1a7af0798a0a538c85496402ec",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2001-08-08T01:11:45Z",
    "title_canon_sha256": "8dd62a49b8f222cd447656ed38fd36e4bf159fc8d6b74a29f6a1efd99a17d67f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0108054",
    "kind": "arxiv",
    "version": 1
  }
}