Pith Number

pith:SI2ONHR4

pith:2022:SI2ONHR45B44BLW3WPFLXWKJ2H

not attested not anchored not stored refs pending

A Proof of Lehoczky's Theorem on Drawdowns

P.J. Fitzsimmons

arxiv:2209.04695 v1 · 2022-09-10 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SI2ONHR45B44BLW3WPFLXWKJ2H}

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

Drawdowns of diffusions

Receipt and verification

First computed	2026-07-05T04:56:22.178297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9234e69e3ce879c0aedbb3cabbd949d1f65a41393855b4d57da7e1e3cb76f0bc

Aliases

arxiv: 2209.04695 · arxiv_version: 2209.04695v1 · doi: 10.48550/arxiv.2209.04695 · pith_short_12: SI2ONHR45B44 · pith_short_16: SI2ONHR45B44BLW3 · pith_short_8: SI2ONHR4

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/SI2ONHR45B44BLW3WPFLXWKJ2H \
  | 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: 9234e69e3ce879c0aedbb3cabbd949d1f65a41393855b4d57da7e1e3cb76f0bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "354945ea3da18f53c00cae1d94bc5f362fd9bdd9e7f44bf6833bd87d4795ca59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-09-10T15:33:55Z",
    "title_canon_sha256": "f27ada2c945dd4e3a057e590887a1113b67fa15ae2f5b3241d0e90e8674047c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.04695",
    "kind": "arxiv",
    "version": 1
  }
}