Pith Number

pith:6K4TV42L

pith:2018:6K4TV42LCO7JUZ5LFFWRCLYQTB

not attested not anchored not stored refs pending

A Multidimensional Fatou Lemma for Conditional Expectations

E. Babaei, I. V. Evstigneev, K. R. Schenk-Hopp\'e

arxiv:1811.00640 v1 · 2018-11-01 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6K4TV42LCO7JUZ5LFFWRCLYQTB}

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	2026-05-18T00:01:42.617093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2b93af34b13be9a67ab296d112f10985213e398cf83b4fe63b75709c89774cd

Aliases

arxiv: 1811.00640 · arxiv_version: 1811.00640v1 · doi: 10.48550/arxiv.1811.00640 · pith_short_12: 6K4TV42LCO7J · pith_short_16: 6K4TV42LCO7JUZ5L · pith_short_8: 6K4TV42L

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/6K4TV42LCO7JUZ5LFFWRCLYQTB \
  | 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: f2b93af34b13be9a67ab296d112f10985213e398cf83b4fe63b75709c89774cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f852d1819f1fe6ca23769b5b4632342c094ab66f4490113d1418f5d8c5e4ae33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-11-01T21:31:01Z",
    "title_canon_sha256": "27d49914307f1d2465ead5f17feea01461d039377f12a39ef4bdfb72597d9286"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00640",
    "kind": "arxiv",
    "version": 1
  }
}