Pith Number

pith:NBV63JEG

pith:2009:NBV63JEGAQM34TD2AF5SSY6UBJ

not attested not anchored not stored refs pending

The Nagaev-Guivarc'h method via the Keller-Liverani theorem

Fran\c{c}oise P\`ene (LM), Lo\"ic Herv\'e (IRMAR)

arxiv:0901.4617 v3 · 2009-01-29 · 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{NBV63JEGAQM34TD2AF5SSY6UBJ}

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	2026-05-18T04:40:09.573775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

686beda4860419be4c7a017b2963d40a61b5d52e894af111bcea44c48e33a527

Aliases

arxiv: 0901.4617 · arxiv_version: 0901.4617v3 · doi: 10.48550/arxiv.0901.4617 · pith_short_12: NBV63JEGAQM3 · pith_short_16: NBV63JEGAQM34TD2 · pith_short_8: NBV63JEG

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/NBV63JEGAQM34TD2AF5SSY6UBJ \
  | 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: 686beda4860419be4c7a017b2963d40a61b5d52e894af111bcea44c48e33a527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65b8ac80f3ed34e4f839970676267f641ba09a18d09a069e594aca7dc51482b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-01-29T07:46:23Z",
    "title_canon_sha256": "2dcfd90a08b12a669a50efa4f03ca36e57ee5f721cca84ea9356c743c73f027d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4617",
    "kind": "arxiv",
    "version": 3
  }
}