Pith Number

pith:SMXITPKE

pith:2009:SMXITPKEME4FFR4Q4SO2ISNAGV

not attested not anchored not stored refs pending

Exponential ergodicity and Rayleigh-Schroedinger series for infinite dimensional diffusions

Alejandro F. Ramirez

arxiv:0910.4076 v3 · 2009-10-21 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SMXITPKEME4FFR4Q4SO2ISNAGV}

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	2026-05-18T01:09:50.151047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

932e89bd44613852c790e49da449a03548ef9d21bd6c3585c31971054e21d334

Aliases

arxiv: 0910.4076 · arxiv_version: 0910.4076v3 · doi: 10.48550/arxiv.0910.4076 · pith_short_12: SMXITPKEME4F · pith_short_16: SMXITPKEME4FFR4Q · pith_short_8: SMXITPKE

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/SMXITPKEME4FFR4Q4SO2ISNAGV \
  | 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: 932e89bd44613852c790e49da449a03548ef9d21bd6c3585c31971054e21d334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f98f294a4d64c29964848db4fd8e2235d050c7e3d960c5673abd2a5a1eaa6573",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-21T12:57:32Z",
    "title_canon_sha256": "5af7ec9261d408d6714770a8964c394342180ab2fc1f14c8d8f1e13aa882f9dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4076",
    "kind": "arxiv",
    "version": 3
  }
}