Pith Number

pith:HSWZQTMG

pith:2012:HSWZQTMGLQ7F3LCMBEIO7BIJO3

not attested not anchored not stored refs pending

Poincar\'e series for non-Riemannian locally symmetric spaces

Fanny Kassel, Toshiyuki Kobayashi

arxiv:1209.4075 v2 · 2012-09-18 · math.RT · math-ph · math.GR · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSWZQTMGLQ7F3LCMBEIO7BIJO3}

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	2026-05-18T01:19:51.131589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cad984d865c3e5dac4c0910ef850976f1c8bc0092af7f2f64cf6ecd9ed621fc

Aliases

arxiv: 1209.4075 · arxiv_version: 1209.4075v2 · doi: 10.48550/arxiv.1209.4075 · pith_short_12: HSWZQTMGLQ7F · pith_short_16: HSWZQTMGLQ7F3LCM · pith_short_8: HSWZQTMG

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/HSWZQTMGLQ7F3LCMBEIO7BIJO3 \
  | 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: 3cad984d865c3e5dac4c0910ef850976f1c8bc0092af7f2f64cf6ecd9ed621fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b9a859f3e9fe0347a83d2fda4db4949fd818abead00bcb35bf86c63f6629ae6",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-18T19:57:17Z",
    "title_canon_sha256": "6e2ac2fab42e042e83f5b6f2d64ee53f4beb954c7d857086e243843b3ab0286e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4075",
    "kind": "arxiv",
    "version": 2
  }
}