Pith Number

pith:BWSVIEA4

pith:2014:BWSVIEA4QPRAXLFZHIRHYZ3ZL5

not attested not anchored not stored refs pending

A stochastic approximation approach to quasi-stationary distributions on finite spaces

Bertrand Cloez (MISTEA, INRIA Sophia Antipolis), Michel Bena\"im (UNINE)

arxiv:1405.0448 v3 · 2014-05-02 · 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{BWSVIEA4QPRAXLFZHIRHYZ3ZL5}

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	2026-05-18T00:56:53.216122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0da554101c83e20bacb93a227c67795f5258c300a9fffb9fb1386d7d57003e29

Aliases

arxiv: 1405.0448 · arxiv_version: 1405.0448v3 · doi: 10.48550/arxiv.1405.0448 · pith_short_12: BWSVIEA4QPRA · pith_short_16: BWSVIEA4QPRAXLFZ · pith_short_8: BWSVIEA4

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/BWSVIEA4QPRAXLFZHIRHYZ3ZL5 \
  | 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: 0da554101c83e20bacb93a227c67795f5258c300a9fffb9fb1386d7d57003e29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d417e9b6a6ea7643493a441b5088ab3b545afc5be3fdd632da51a50b3668ddc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-05-02T16:35:13Z",
    "title_canon_sha256": "e8f2c1d493fcfb96ab151ea0c218085cc1434ff74382b598a631904fbf749bb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0448",
    "kind": "arxiv",
    "version": 3
  }
}