Pith Number

pith:32TDBDKI

pith:2009:32TDBDKIS7A4XY7XX4SCU5JRUA

not attested not anchored not stored refs pending

A general form of Gelfand-Kazhdan criterion

Binyong Sun, Chen-bo Zhu

arxiv:0903.1409 v6 · 2009-03-08 · 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{32TDBDKIS7A4XY7XX4SCU5JRUA}

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	2026-05-18T04:12:34.180487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea6308d4897c1cbe3f7bf242a7531a021863f40a3cc63f88300d1a69f4a4980

Aliases

arxiv: 0903.1409 · arxiv_version: 0903.1409v6 · doi: 10.48550/arxiv.0903.1409 · pith_short_12: 32TDBDKIS7A4 · pith_short_16: 32TDBDKIS7A4XY7X · pith_short_8: 32TDBDKI

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/32TDBDKIS7A4XY7XX4SCU5JRUA \
  | 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: dea6308d4897c1cbe3f7bf242a7531a021863f40a3cc63f88300d1a69f4a4980

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfb683dd9d6540a92c24ac2370e79cfa607ecaa429044393159bcd367b1f22e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-03-08T12:16:42Z",
    "title_canon_sha256": "137b7c81a7b4faf678715bb486abe1b13b6986c957cc12a9503cde4c3eb98c34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1409",
    "kind": "arxiv",
    "version": 6
  }
}