Pith Number

pith:4W5P4YZD

pith:2015:4W5P4YZDQVPJHDU575P5LRZ4K7

not attested not anchored not stored refs pending

Test vectors for local cuspidal Rankin-Selberg integrals of GL(n), and reduction modulo $\ell$

Nadir Matringe, Robert Kurinczuk

arxiv:1501.07587 v4 · 2015-01-29 · math.RT · 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{4W5P4YZDQVPJHDU575P5LRZ4K7}

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	2026-05-18T00:34:16.262921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5bafe6323855e938e9dff5fd5c73c57d63b52e994453eaf8f19adc384a01036

Aliases

arxiv: 1501.07587 · arxiv_version: 1501.07587v4 · doi: 10.48550/arxiv.1501.07587 · pith_short_12: 4W5P4YZDQVPJ · pith_short_16: 4W5P4YZDQVPJHDU5 · pith_short_8: 4W5P4YZD

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/4W5P4YZDQVPJHDU575P5LRZ4K7 \
  | 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: e5bafe6323855e938e9dff5fd5c73c57d63b52e994453eaf8f19adc384a01036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1be23c35161672beec64e6ab54b739d273622f9829eadf3840e0e338bed081c5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-01-29T20:48:13Z",
    "title_canon_sha256": "6a54d6ccb616ded1db93a0e33bfb393f93be94904adb3dfe477d9f8c109e4743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07587",
    "kind": "arxiv",
    "version": 4
  }
}