Pith Number

pith:VBK7P4NW

pith:2024:VBK7P4NW5YQXBRVTL6A63URYPU

not attested not anchored not stored refs pending

An explicit formula for the orbital integrals on the spherical Hecke algebra of $\mathrm{GL}_3$

Sungmun Cho, Yuchan Lee

arxiv:2404.04666 v2 · 2024-04-06 · math.NT · math.RT

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\usepackage{pith}
\pithnumber{VBK7P4NW5YQXBRVTL6A63URYPU}

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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.

Cited by

1 paper in Pith

Stable orbital integrals for classical Lie algebras and smooth integral models

Receipt and verification

First computed	2026-07-05T08:05:58.444124Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a855f7f1b6ee2170c6b35f81edd2387d3db41c4667cb747493effbe3d09b1b30

Aliases

arxiv: 2404.04666 · arxiv_version: 2404.04666v2 · doi: 10.48550/arxiv.2404.04666 · pith_short_12: VBK7P4NW5YQX · pith_short_16: VBK7P4NW5YQXBRVT · pith_short_8: VBK7P4NW

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/VBK7P4NW5YQXBRVTL6A63URYPU \
  | 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: a855f7f1b6ee2170c6b35f81edd2387d3db41c4667cb747493effbe3d09b1b30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc78305f9c3f204c5589f7c9eb21eb3531c805778726b218bf1d892676786b4e",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-04-06T15:49:08Z",
    "title_canon_sha256": "7e4dd63dd3e2fc523c14e4b2a91ea7e7ee64207f9bce916a3e1358487a702077"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.04666",
    "kind": "arxiv",
    "version": 2
  }
}