Pith Number

pith:O3DGCSYF

pith:2002:O3DGCSYFKUKLOT3QSSPTYPZK6X

not attested not anchored not stored refs pending

Minimal representations: spherical vectors and automorphic functionals

Alexander Polishchuk, David Kazhdan

arxiv:math/0209315 v1 · 2002-09-24 · math.RT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3DGCSYFKUKLOT3QSSPTYPZK6X}

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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

Fourier coefficients of minimal and next-to-minimal automorphic representations of simply-laced groups

Receipt and verification

First computed	2026-07-04T14:36:28.490068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76c6614b055514b74f70949f3c3f2af5f2e9956ae88024b769c95253207244df

Aliases

arxiv: math/0209315 · arxiv_version: math/0209315v1 · doi: 10.48550/arxiv.math/0209315 · pith_short_12: O3DGCSYFKUKL · pith_short_16: O3DGCSYFKUKLOT3Q · pith_short_8: O3DGCSYF

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/O3DGCSYFKUKLOT3QSSPTYPZK6X \
  | 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: 76c6614b055514b74f70949f3c3f2af5f2e9956ae88024b769c95253207244df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "144b5ca5dbf57da707a6fb16bc8b75d265dd69ffe05a4bb7843e3668d1a546ec",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2002-09-24T01:53:22Z",
    "title_canon_sha256": "4674c3556fa0421574fef270c1f408f9c806aefca9735b8a259f89cf00a72e01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209315",
    "kind": "arxiv",
    "version": 1
  }
}