Pith Number

pith:MF3EPXFF

pith:2010:MF3EPXFFIF4GP67ZWGMSOXNGTJ

not attested not anchored not stored refs pending

Nilpotent Gelfand pairs and spherical transforms of Schwartz functions II. Taylor expansion on singular sets

Fulvio Ricci, Oksana Yakimova, Veronique Fischer

arxiv:1008.4699 v2 · 2010-08-27 · math.AC · math.FA · 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{MF3EPXFFIF4GP67ZWGMSOXNGTJ}

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	2026-05-18T04:24:07.222510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

617647dca5417867fbf9b199275da69a44da7f83c0496bc1e85ab7ca6508d05b

Aliases

arxiv: 1008.4699 · arxiv_version: 1008.4699v2 · doi: 10.48550/arxiv.1008.4699 · pith_short_12: MF3EPXFFIF4G · pith_short_16: MF3EPXFFIF4GP67Z · pith_short_8: MF3EPXFF

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/MF3EPXFFIF4GP67ZWGMSOXNGTJ \
  | 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: 617647dca5417867fbf9b199275da69a44da7f83c0496bc1e85ab7ca6508d05b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e363d4e88d5e937291e5131af61a1661008d5ff7c82df6685a4f0d18bd4fa50",
    "cross_cats_sorted": [
      "math.FA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-08-27T12:19:33Z",
    "title_canon_sha256": "61f236fa4b20d530e90bfa52a6244314a0366467fe33280d24f0a59590d08f4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4699",
    "kind": "arxiv",
    "version": 2
  }
}