Pith Number

pith:EPX75IPA

pith:2022:EPX75IPAZ57VOWG4BHEVEGPJEI

not attested not anchored not stored refs pending

Yurinskii's Coupling for Martingales

Matias D. Cattaneo, Ricardo P. Masini, William G. Underwood

arxiv:2210.00362 v4 · 2022-10-01 · math.ST · econ.EM · stat.ME · 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{EPX75IPAZ57VOWG4BHEVEGPJEI}

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	2026-07-05T11:47:55.366605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23effea1e0cf7f5758dc09c95219e9220038742385b22c6034e35435356a9a40

Aliases

arxiv: 2210.00362 · arxiv_version: 2210.00362v4 · doi: 10.48550/arxiv.2210.00362 · pith_short_12: EPX75IPAZ57V · pith_short_16: EPX75IPAZ57VOWG4 · pith_short_8: EPX75IPA

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/EPX75IPAZ57VOWG4BHEVEGPJEI \
  | 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: 23effea1e0cf7f5758dc09c95219e9220038742385b22c6034e35435356a9a40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "131614d4a11bd211bb02d2e85654fb5abaaf542c998c5708af0ec6ebc6599f39",
    "cross_cats_sorted": [
      "econ.EM",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-10-01T20:40:52Z",
    "title_canon_sha256": "6d647c541fce789c49d5bcc2871ccab23ab9e9dc4b53fe378802b93d50e533b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.00362",
    "kind": "arxiv",
    "version": 4
  }
}