Pith Number

pith:O6HRAS55

pith:2010:O6HRAS55ZGIAY4KWIQPCYWNDIM

not attested not anchored not stored refs pending

Asymptotics of stationary solutions of multivariate stochastic recursions with heavy tailed inputs and related limit theorems

Dariusz Buraczewski, Ewa Damek, Mariusz Mirek

arxiv:1011.1685 v2 · 2010-11-07 · 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{O6HRAS55ZGIAY4KWIQPCYWNDIM}

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	2026-05-18T04:10:47.143856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

778f104bbdc9900c7156441e2c59a3431bd5e3c27e85f224d35ff203fcff04ac

Aliases

arxiv: 1011.1685 · arxiv_version: 1011.1685v2 · doi: 10.48550/arxiv.1011.1685 · pith_short_12: O6HRAS55ZGIA · pith_short_16: O6HRAS55ZGIAY4KW · pith_short_8: O6HRAS55

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/O6HRAS55ZGIAY4KWIQPCYWNDIM \
  | 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: 778f104bbdc9900c7156441e2c59a3431bd5e3c27e85f224d35ff203fcff04ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "126e615433265271443d62a9cd86b5fb3d3b798b979a21ed4041f36d5c6ce700",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-07T23:02:57Z",
    "title_canon_sha256": "98d1bb6b70ccd4c13f7b64c50835680d238eb36307ebddf5075abf1d0c4ef981"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1685",
    "kind": "arxiv",
    "version": 2
  }
}