Pith Number

pith:EILXNIKK

pith:2010:EILXNIKKUDMZ6VPSOQ4YMZJPUD

not attested not anchored not stored refs pending

The dual optimizer for the growth-optimal portfolio under transaction costs

Johannes Muhle-Karbe, Stefan Gerhold, Walter Schachermayer

arxiv:1005.5105 v2 · 2010-05-27 · q-fin.PM · math.OC · 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{EILXNIKKUDMZ6VPSOQ4YMZJPUD}

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	2026-05-18T04:39:38.809762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

221776a14aa0d99f55f2743986652fa0e96f5301222c3ad38dcc0f653e825a5c

Aliases

arxiv: 1005.5105 · arxiv_version: 1005.5105v2 · doi: 10.48550/arxiv.1005.5105 · pith_short_12: EILXNIKKUDMZ · pith_short_16: EILXNIKKUDMZ6VPS · pith_short_8: EILXNIKK

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/EILXNIKKUDMZ6VPSOQ4YMZJPUD \
  | 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: 221776a14aa0d99f55f2743986652fa0e96f5301222c3ad38dcc0f653e825a5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b6346be4cf967796db4aec700043f217a09a5dd6773540e5ac5aed1ea81f783",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2010-05-27T16:16:45Z",
    "title_canon_sha256": "09333e80969689c45cc8dcab41a3ba2114edd37d7fbecddd9cd212c6d646f85c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5105",
    "kind": "arxiv",
    "version": 2
  }
}