Pith Number

pith:6SIRWZJZ

pith:2012:6SIRWZJZ7RJTUOTIBYWLJ4ZWWX

not attested not anchored not stored refs pending

Limit theorems for stationary Markov processes with L2-spectral gap

Deborah Ferre (IRMAR), James Ledoux (IRMAR), Lo\"ic Herv\'e (IRMAR)

arxiv:1201.4579 v1 · 2012-01-22 · 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{6SIRWZJZ7RJTUOTIBYWLJ4ZWWX}

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	2026-05-18T03:50:09.127998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4911b6539fc533a3a680e2cb4f336b5ccfd6be9b694b9c43884fd0e725134bd

Aliases

arxiv: 1201.4579 · arxiv_version: 1201.4579v1 · doi: 10.48550/arxiv.1201.4579 · pith_short_12: 6SIRWZJZ7RJT · pith_short_16: 6SIRWZJZ7RJTUOTI · pith_short_8: 6SIRWZJZ

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/6SIRWZJZ7RJTUOTIBYWLJ4ZWWX \
  | 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: f4911b6539fc533a3a680e2cb4f336b5ccfd6be9b694b9c43884fd0e725134bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae7c590f086c6b58dacd7dcfd6e183a62b966512b0e7ecb65eb99de49b85ff0c",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-22T17:31:11Z",
    "title_canon_sha256": "9e8d3cdd77360def096313844a975801c6ca9fc1d72af4a4350a2ae4f820f0d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4579",
    "kind": "arxiv",
    "version": 1
  }
}