Pith Number

pith:D6WI3DXP

pith:2016:D6WI3DXPG3ZYZI6BC5ZKPF6QO3

not attested not anchored not stored refs pending

Plancherel decomposition of Howe duality and Euler factorization of automorphic functionals

Yiannis Sakellaridis

arxiv:1610.06202 v1 · 2016-10-19 · 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{D6WI3DXPG3ZYZI6BC5ZKPF6QO3}

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	2026-05-18T01:01:44.020708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fac8d8eef36f38ca3c11772a797d076f046b440ffa376be09f075e0775434fd

Aliases

arxiv: 1610.06202 · arxiv_version: 1610.06202v1 · doi: 10.48550/arxiv.1610.06202 · pith_short_12: D6WI3DXPG3ZY · pith_short_16: D6WI3DXPG3ZYZI6B · pith_short_8: D6WI3DXP

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/D6WI3DXPG3ZYZI6BC5ZKPF6QO3 \
  | 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: 1fac8d8eef36f38ca3c11772a797d076f046b440ffa376be09f075e0775434fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d5c73adf31cb5c4928a8870fddbf48f8fe8d500ddca9a3eced1980306b47465",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-10-19T20:26:10Z",
    "title_canon_sha256": "8575502d8426ee25b55e41484b3a52f90be944d5cf521a99d3fa66e6c6befe39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06202",
    "kind": "arxiv",
    "version": 1
  }
}