Pith Number

pith:TMGJJFUN

pith:2014:TMGJJFUN7FISPLXCTB3BFALWEH

not attested not anchored not stored refs pending

A Multi-Step Richardson-Romberg Extrapolation Method For Stochastic Approximation

Lorick Huang (LPMA), Noufel Frikha (LPMA)

arxiv:1409.4748 v2 · 2014-09-16 · 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{TMGJJFUN7FISPLXCTB3BFALWEH}

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	2026-05-18T02:25:19.805912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0c94968df95127aee2987612817621e3ee0e34f4559e8404ff6393b1a8befa

Aliases

arxiv: 1409.4748 · arxiv_version: 1409.4748v2 · doi: 10.48550/arxiv.1409.4748 · pith_short_12: TMGJJFUN7FIS · pith_short_16: TMGJJFUN7FISPLXC · pith_short_8: TMGJJFUN

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/TMGJJFUN7FISPLXCTB3BFALWEH \
  | 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: 9b0c94968df95127aee2987612817621e3ee0e34f4559e8404ff6393b1a8befa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e992da768b6e2249d40ad1bffcfbff45f028db1219719bba80176cfb93706179",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-16T19:45:12Z",
    "title_canon_sha256": "9daa445e69b8f6abb49f4682a2ed48ef732283ef1b5ab8823fc57d121d028508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4748",
    "kind": "arxiv",
    "version": 2
  }
}