Pith Number

pith:XSTB654X

pith:2012:XSTB654X5PMZZVEZGYH5PMGNSZ

not attested not anchored not stored refs pending

Nilpotent Gelfand pairs and spherical transforms of Schwartz functions III. Isomorphisms between Schwartz spaces under Vinberg's condition

Fulvio Ricci, Oksana Yakimova, Veronique Fischer

arxiv:1210.7962 v1 · 2012-10-30 · math.FA · math.AC · 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{XSTB654X5PMZZVEZGYH5PMGNSZ}

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	2026-05-18T03:41:57.506204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bca61f7797ebd99cd499360fd7b0cd967d1a045f319fb4198be567ad1426d63e

Aliases

arxiv: 1210.7962 · arxiv_version: 1210.7962v1 · doi: 10.48550/arxiv.1210.7962 · pith_short_12: XSTB654X5PMZ · pith_short_16: XSTB654X5PMZZVEZ · pith_short_8: XSTB654X

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/XSTB654X5PMZZVEZGYH5PMGNSZ \
  | 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: bca61f7797ebd99cd499360fd7b0cd967d1a045f319fb4198be567ad1426d63e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b8869c5913e827344bd314f25ee720ffff93ed0e582a62d2bfc6b90eb121075",
    "cross_cats_sorted": [
      "math.AC",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-30T11:11:52Z",
    "title_canon_sha256": "d1653a1a4a634eadf24c26ea163ef99d56e2a824876519d5a248f43b6c6d957e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7962",
    "kind": "arxiv",
    "version": 1
  }
}