Pith Number

pith:C27FHKJJ

pith:2001:C27FHKJJRXHUJCZ6WLE2SPPNJQ

not attested not anchored not stored refs pending

Explicit Hilbert spaces for certain unipotent representations III

Alexander Dvorsky, Siddhartha Sahi

arxiv:math/0110339 v1 · 2001-10-31 · 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{C27FHKJJRXHUJCZ6WLE2SPPNJQ}

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	2026-05-18T01:05:37.488194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16be53a9298dcf448b3eb2c9a93ded4c2926fd2e5fb9bef67a28e5de1666f69b

Aliases

arxiv: math/0110339 · arxiv_version: math/0110339v1 · doi: 10.48550/arxiv.math/0110339 · pith_short_12: C27FHKJJRXHU · pith_short_16: C27FHKJJRXHUJCZ6 · pith_short_8: C27FHKJJ

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/C27FHKJJRXHUJCZ6WLE2SPPNJQ \
  | 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: 16be53a9298dcf448b3eb2c9a93ded4c2926fd2e5fb9bef67a28e5de1666f69b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c49c03daebb92a09087f52b92a4e28081187646fc9551f820c93047324629e89",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2001-10-31T20:58:12Z",
    "title_canon_sha256": "308d49e0797c2e911950c77ab5f11aa5c6486c46f67e997a29c5c366e132a16c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0110339",
    "kind": "arxiv",
    "version": 1
  }
}