Pith Number

pith:4VKMV4MW

pith:2019:4VKMV4MWGJ6SZ5DNX5ADEI4OXR

not attested not anchored not stored refs pending

Stationary characters on lattices of semisimple Lie groups

Cyril Houdayer, R\'emi Boutonnet

arxiv:1908.07812 v2 · 2019-08-21 · math.GR · math.DS · math.OA · 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{4VKMV4MWGJ6SZ5DNX5ADEI4OXR}

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	2026-07-05T03:07:42.132576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e554caf196327d2cf46dbf4032238ebc4c113bfda3a6811bccf7f7752a071f7b

Aliases

arxiv: 1908.07812 · arxiv_version: 1908.07812v2 · doi: 10.48550/arxiv.1908.07812 · pith_short_12: 4VKMV4MWGJ6S · pith_short_16: 4VKMV4MWGJ6SZ5DN · pith_short_8: 4VKMV4MW

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/4VKMV4MWGJ6SZ5DNX5ADEI4OXR \
  | 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: e554caf196327d2cf46dbf4032238ebc4c113bfda3a6811bccf7f7752a071f7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97a752c4ff66537fb1245c22487af6091a979ddb7cf4e84d2b001c359cef1eb7",
    "cross_cats_sorted": [
      "math.DS",
      "math.OA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-08-21T12:34:11Z",
    "title_canon_sha256": "3f128c8187077da4e0a60067432a9f0d34616a4628f0fe502a28bcc0bc83fe64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07812",
    "kind": "arxiv",
    "version": 2
  }
}