Pith Number

pith:KGSUILVM

pith:2012:KGSUILVMIKMKA73CINPEJNOXND

not attested not anchored not stored refs pending

A counterexample to the Cantelli conjecture through the Skorokhod embedding problem

Aline Kurtzmann, Victor Kleptsyn

arxiv:1202.2250 v2 · 2012-02-10 · math.PR · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGSUILVMIKMKA73CINPEJNOXND}

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	2026-05-18T01:29:13.660478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a5442eac4298a07f62435e44b5d768e983c829c3fc69570ded6398aa033168

Aliases

arxiv: 1202.2250 · arxiv_version: 1202.2250v2 · doi: 10.48550/arxiv.1202.2250 · pith_short_12: KGSUILVMIKMK · pith_short_16: KGSUILVMIKMKA73C · pith_short_8: KGSUILVM

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/KGSUILVMIKMKA73CINPEJNOXND \
  | 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: 51a5442eac4298a07f62435e44b5d768e983c829c3fc69570ded6398aa033168

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "844c3605049dd5bbd351f2188f09756c3f0ba90c274fe835b8290574ef13d053",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-10T13:12:01Z",
    "title_canon_sha256": "54371c35ec528e3f9718c4b43aaffae711241b2b449ea71628563fbc6525aeba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2250",
    "kind": "arxiv",
    "version": 2
  }
}