Pith Number

pith:G6JD6EAP

pith:2011:G6JD6EAP55Z2LXPSK6V66JYJF2

not attested not anchored not stored refs pending

On Functional CLT for Reversible Markov Chains with nonlinear growth of the Variance

Costel Peligrad, Magda Peligrad, Martial Longla

arxiv:1112.2751 v3 · 2011-12-13 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6JD6EAP55Z2LXPSK6V66JYJF2}

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	2026-05-18T03:26:10.446240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37923f100fef73a5ddf257abef27092ebcc3db137bf0a63e64b510ab9a21b40c

Aliases

arxiv: 1112.2751 · arxiv_version: 1112.2751v3 · doi: 10.48550/arxiv.1112.2751 · pith_short_12: G6JD6EAP55Z2 · pith_short_16: G6JD6EAP55Z2LXPS · pith_short_8: G6JD6EAP

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/G6JD6EAP55Z2LXPSK6V66JYJF2 \
  | 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: 37923f100fef73a5ddf257abef27092ebcc3db137bf0a63e64b510ab9a21b40c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3baced5b466845e8e82207a72d816094726007def7eca05e0e781eea361a6da",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-13T00:03:08Z",
    "title_canon_sha256": "59749723ec6613752fabe83e8e81416a48d28e4c5a70181b09695f3312fd363e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2751",
    "kind": "arxiv",
    "version": 3
  }
}