Pith Number

pith:OZOT5JDS

pith:2013:OZOT5JDS65KAUHASCMZ4TOCAJL

not attested not anchored not stored refs pending

Multi-level stochastic approximation algorithms

Noufel Frikha (LPMA)

arxiv:1310.2052 v2 · 2013-10-08 · 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{OZOT5JDS65KAUHASCMZ4TOCAJL}

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	2026-05-18T02:45:31.887905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

765d3ea472f7540a1c121333c9b8404ad07aee331fdca7eb94f6a36a1fb276ca

Aliases

arxiv: 1310.2052 · arxiv_version: 1310.2052v2 · doi: 10.48550/arxiv.1310.2052 · pith_short_12: OZOT5JDS65KA · pith_short_16: OZOT5JDS65KAUHAS · pith_short_8: OZOT5JDS

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/OZOT5JDS65KAUHASCMZ4TOCAJL \
  | 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: 765d3ea472f7540a1c121333c9b8404ad07aee331fdca7eb94f6a36a1fb276ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a927a949581361b752b9df373e019d3831badb2ffe28d25fac9bbf15832c09dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-08T09:15:37Z",
    "title_canon_sha256": "bca527d948a8f998171e5227a69008670f94af9bdbd8ff1bf2f1ab60d8f5ea6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2052",
    "kind": "arxiv",
    "version": 2
  }
}