Pith Number

pith:7K3655ZC

pith:2013:7K3655ZCDHXLZUFINVQWSRDZDI

not attested not anchored not stored refs pending

Weak Convergence Rates of Population versus Single-Chain Stochastic Approximation MCMC Algorithms

Faming Liang, Mingqi Wu, Qifan Song

arxiv:1310.7479 v1 · 2013-10-28 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7K3655ZCDHXLZUFINVQWSRDZDI}

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	2026-05-18T03:08:39.009924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fab7eef72219eebcd0a86d616944791a0bee3781aacba40338a46b4af851b52d

Aliases

arxiv: 1310.7479 · arxiv_version: 1310.7479v1 · doi: 10.48550/arxiv.1310.7479 · pith_short_12: 7K3655ZCDHXL · pith_short_16: 7K3655ZCDHXLZUFI · pith_short_8: 7K3655ZC

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/7K3655ZCDHXLZUFINVQWSRDZDI \
  | 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: fab7eef72219eebcd0a86d616944791a0bee3781aacba40338a46b4af851b52d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af60c9f32901c1d140e5b9b485d0b83f7a0f08f83a29549d251fa5e44e5f56f5",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-10-28T16:23:50Z",
    "title_canon_sha256": "4a58142d560d9ec31cdf03a1204a3551d0ce140b007f83a1e66b6e5489d045b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7479",
    "kind": "arxiv",
    "version": 1
  }
}