Pith Number

pith:FIHIZPUJ

pith:2025:FIHIZPUJLCKM6D4XDWUSMGR7EQ

not attested not anchored not stored refs pending

Gaussian Universality of Products Over Split Reductive Groups and the Satake Isomorphism

Jiahe Shen

arxiv:2502.06143 v1 · 2025-02-10 · math.PR · 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{FIHIZPUJLCKM6D4XDWUSMGR7EQ}

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	2026-07-05T10:11:48.271173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a0e8cbe895894cf0f971da9261a3f24004494b274d10586ae2d41474da51205

Aliases

arxiv: 2502.06143 · arxiv_version: 2502.06143v1 · doi: 10.48550/arxiv.2502.06143 · pith_short_12: FIHIZPUJLCKM · pith_short_16: FIHIZPUJLCKM6D4X · pith_short_8: FIHIZPUJ

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/FIHIZPUJLCKM6D4XDWUSMGR7EQ \
  | 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: 2a0e8cbe895894cf0f971da9261a3f24004494b274d10586ae2d41474da51205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6507b034799867e315494450cd79c340bfd39f880e8b8c3166d7d4e90fe9b1f5",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-02-10T04:19:37Z",
    "title_canon_sha256": "f3d1f5af4340ff2ada2fe23c76eecd4ec2e8004a9e4805ca7cf5ffa5bf2be86b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06143",
    "kind": "arxiv",
    "version": 1
  }
}