Pith Number

pith:EWGPVP4E

pith:2013:EWGPVP4EJAU3ZFXSU6STW6DGBZ

not attested not anchored not stored refs pending

Approximating Markov chains and V-geometric ergodicity via weak perturbation theory

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

arxiv:1309.2857 v3 · 2013-09-11 · 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{EWGPVP4EJAU3ZFXSU6STW6DGBZ}

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	2026-05-18T03:01:24.124606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

258cfabf844829bc96f2a7a53b78660e542904c01c650f101365f438b04a123b

Aliases

arxiv: 1309.2857 · arxiv_version: 1309.2857v3 · doi: 10.48550/arxiv.1309.2857 · pith_short_12: EWGPVP4EJAU3 · pith_short_16: EWGPVP4EJAU3ZFXS · pith_short_8: EWGPVP4E

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/EWGPVP4EJAU3ZFXSU6STW6DGBZ \
  | 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: 258cfabf844829bc96f2a7a53b78660e542904c01c650f101365f438b04a123b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "535bf9eeff7a56a44402266034395e3e030d9b8d8b5f4914b2c14e844085f7c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-11T15:22:16Z",
    "title_canon_sha256": "b524892e8640353397607d43396e38475d7994f13d4bc9822096b4064694d4ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2857",
    "kind": "arxiv",
    "version": 3
  }
}