pith. sign in
Pith Number

pith:ZACXSWLV

pith:2014:ZACXSWLVRO3XJLKYT3GZSFSCUV
not attested not anchored not stored refs pending

Ergodicity of Approximate MCMC Chains with Applications to Large Data Sets

Aaron Smith, Natesh S. Pillai

arxiv:1405.0182 v2 · 2014-05-01 · math.ST · math.PR · stat.CO · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZACXSWLVRO3XJLKYT3GZSFSCUV}

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 2026-05-18T01:34:55.529610Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c8057959758bb774ad589ecd991642a549ef65ed30bdcc0044d6d3fafeffd51d

Aliases

arxiv: 1405.0182 · arxiv_version: 1405.0182v2 · doi: 10.48550/arxiv.1405.0182 · pith_short_12: ZACXSWLVRO3X · pith_short_16: ZACXSWLVRO3XJLKY · pith_short_8: ZACXSWLV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZACXSWLVRO3XJLKYT3GZSFSCUV \
  | 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: c8057959758bb774ad589ecd991642a549ef65ed30bdcc0044d6d3fafeffd51d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "36421ae35bc43353131f4713c88204871e2bb600fb0478745f5aa1b965323787",
    "cross_cats_sorted": [
      "math.PR",
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-05-01T15:13:51Z",
    "title_canon_sha256": "44f8424175d71a7def233a6b64c8e87a3b6ca490da18c57ed5e8c969bafbaf49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0182",
    "kind": "arxiv",
    "version": 2
  }
}