Pith Number

pith:4AVSGTFT

pith:1999:4AVSGTFTYAGKKMTFU3PQ7JCWDH

not attested not anchored not stored refs pending

On explicit lifts of cusp forms from GL_m to classical groups

David Ginzburg, David Soudry, Stephen Rallis

arxiv:math/9911264 v1 · 1999-11-01 · 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{4AVSGTFTYAGKKMTFU3PQ7JCWDH}

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	2026-05-18T01:05:32.345718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02b234cb3c00ca53265a6df0fa45619c9ddb68aa5cf9fb6e0e70cb57561eabe

Aliases

arxiv: math/9911264 · arxiv_version: math/9911264v1 · doi: 10.48550/arxiv.math/9911264 · pith_short_12: 4AVSGTFTYAGK · pith_short_16: 4AVSGTFTYAGKKMTF · pith_short_8: 4AVSGTFT

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/4AVSGTFTYAGKKMTFU3PQ7JCWDH \
  | 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: e02b234cb3c00ca53265a6df0fa45619c9ddb68aa5cf9fb6e0e70cb57561eabe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf52abe4e894079abb0cf965502142315c84ad5d78315f183bc84d10e389e211",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "1999-11-01T00:00:00Z",
    "title_canon_sha256": "fcd2969e7d3f5eb9fd236a3de8e6333c5702882125c4eb6221393962389685ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911264",
    "kind": "arxiv",
    "version": 1
  }
}