Pith Number

pith:J63S4VFO

pith:2016:J63S4VFONGQIDREFUFJE2VU6WJ

not attested not anchored not stored refs pending

Long-Term Growth Rate of Expected Utility for Leveraged ETFs: Martingale Extraction Approach

Hyungbin Park, Tim Leung

arxiv:1612.01013 v1 · 2016-12-03 · q-fin.MF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J63S4VFONGQIDREFUFJE2VU6WJ}

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	2026-05-18T00:55:53.583180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fb72e54ae69a081c485a1524d569eb24e9769aa359dd9a65fd17331fdeaa27e

Aliases

arxiv: 1612.01013 · arxiv_version: 1612.01013v1 · doi: 10.48550/arxiv.1612.01013 · pith_short_12: J63S4VFONGQI · pith_short_16: J63S4VFONGQIDREF · pith_short_8: J63S4VFO

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/J63S4VFONGQIDREFUFJE2VU6WJ \
  | 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: 4fb72e54ae69a081c485a1524d569eb24e9769aa359dd9a65fd17331fdeaa27e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab9ef84eb9ae841f383391d4dfc74969a6b95237d59cbe5f4ea0b1ff799d64d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-12-03T20:11:13Z",
    "title_canon_sha256": "9f1367d8abd5976da2d275a6ba4f2df7e308b9bb89cfa56f7d2c921917c205b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01013",
    "kind": "arxiv",
    "version": 1
  }
}