Pith Number

pith:PV5ZX64V

pith:2009:PV5ZX64VQDSR3LZJBO3A4VC3H5

not attested not anchored not stored refs pending

A generalized Harish-Chandra isomorphism

Ernest Vinberg, Maxim Nazarov, Sergey Khoroshkin

arxiv:0912.1100 v3 · 2009-12-06 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PV5ZX64VQDSR3LZJBO3A4VC3H5}

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	2026-05-18T04:35:14.874141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d7b9bfb9580e51daf290bb60e545b3f631b48cc68004f6d2e011f17cab8dbc2

Aliases

arxiv: 0912.1100 · arxiv_version: 0912.1100v3 · doi: 10.48550/arxiv.0912.1100 · pith_short_12: PV5ZX64VQDSR · pith_short_16: PV5ZX64VQDSR3LZJ · pith_short_8: PV5ZX64V

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/PV5ZX64VQDSR3LZJBO3A4VC3H5 \
  | 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: 7d7b9bfb9580e51daf290bb60e545b3f631b48cc68004f6d2e011f17cab8dbc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf8acd735fbe78b75f36c1ce0f541868b4a53313ddb0cce0ad1c4b551ec5c57f",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-12-06T13:12:44Z",
    "title_canon_sha256": "931022a25475f5f2d365b76766609e828f099838c56de94a7de968b2c7365183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1100",
    "kind": "arxiv",
    "version": 3
  }
}