Pith Number

pith:KLKNCJLT

pith:2010:KLKNCJLTFHGJW5KOCMZK2QQH3T

not attested not anchored not stored refs pending

The bounded spherical functions for the free two step nilpotent Lie group

Veronique Fischer

arxiv:1012.1884 v1 · 2010-12-08 · math.CA · 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{KLKNCJLTFHGJW5KOCMZK2QQH3T}

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	2026-05-18T04:33:49.404162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d4d1257329cc9b754e1332ad4207dcd92a0349ec987e2977afca5e4b287084

Aliases

arxiv: 1012.1884 · arxiv_version: 1012.1884v1 · doi: 10.48550/arxiv.1012.1884 · pith_short_12: KLKNCJLTFHGJ · pith_short_16: KLKNCJLTFHGJW5KO · pith_short_8: KLKNCJLT

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/KLKNCJLTFHGJW5KOCMZK2QQH3T \
  | 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: 52d4d1257329cc9b754e1332ad4207dcd92a0349ec987e2977afca5e4b287084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac52dedc0d50d202edd0250f6e174acc2bccbc354d1b19566800795e9d912b04",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-12-08T22:15:08Z",
    "title_canon_sha256": "0a5cb60d39117801f446230080cd7fa20ef7a5f81a14a2f8710485a348e10c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1884",
    "kind": "arxiv",
    "version": 1
  }
}