Pith Number

pith:MGOEMA7U

pith:2018:MGOEMA7UBECGTI43HX6S4M3MQ3

not attested not anchored not stored refs pending

A high dimensional Central Limit Theorem for martingales, with applications to context tree models

Alexandre Belloni, Roberto I. Oliveira

arxiv:1809.02741 v1 · 2018-09-08 · math.ST · math.PR · 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{MGOEMA7UBECGTI43HX6S4M3MQ3}

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.

Cited by

1 paper in Pith

Gaussian Approximation for Asynchronous Q-learning

Receipt and verification

First computed	2026-05-18T00:06:15.442922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

619c4603f4090469a39b3dfd2e336c86f0b64200a6e273e251c1b31d64b8963c

Aliases

arxiv: 1809.02741 · arxiv_version: 1809.02741v1 · doi: 10.48550/arxiv.1809.02741 · pith_short_12: MGOEMA7UBECG · pith_short_16: MGOEMA7UBECGTI43 · pith_short_8: MGOEMA7U

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/MGOEMA7UBECGTI43HX6S4M3MQ3 \
  | 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: 619c4603f4090469a39b3dfd2e336c86f0b64200a6e273e251c1b31d64b8963c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44c0b04ac2b74e99278af30227f527b46aa774119c6d2c34eca33be843842251",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-09-08T02:15:18Z",
    "title_canon_sha256": "edf8ddb421fd860de79409d5313fef98bb7fb2dbcef2fa94ef7a2a020fa99817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02741",
    "kind": "arxiv",
    "version": 1
  }
}