Pith Number

pith:EJK4QXPS

pith:2011:EJK4QXPSEIYWFTQHIOQ7L3E2MT

not attested not anchored not stored refs pending

Estimates for the Poisson kernel and the evolution kernel on nilpotent meta-abelian groups

Richard Penney, Roman Urban

arxiv:1108.2515 v2 · 2011-08-11 · math.FA · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJK4QXPSEIYWFTQHIOQ7L3E2MT}

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	2026-05-18T02:55:57.712472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2255c85df2223162ce0743a1f5ec9a64d502416effb8ac780dd9a2dae83b4d74

Aliases

arxiv: 1108.2515 · arxiv_version: 1108.2515v2 · doi: 10.48550/arxiv.1108.2515 · pith_short_12: EJK4QXPSEIYW · pith_short_16: EJK4QXPSEIYWFTQH · pith_short_8: EJK4QXPS

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/EJK4QXPSEIYWFTQHIOQ7L3E2MT \
  | 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: 2255c85df2223162ce0743a1f5ec9a64d502416effb8ac780dd9a2dae83b4d74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45e3ac53add6c225ed4c27bfb45814787a0e799a0ae5dd8fd5678b36ece0a5cc",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-08-11T20:40:24Z",
    "title_canon_sha256": "a2939793fe77b94020a123794aeba6a9f4469c31277ba824f20321137a61aa70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2515",
    "kind": "arxiv",
    "version": 2
  }
}