Pith Number

pith:WKXC5K6E

pith:2011:WKXC5K6E4LUICUSZQZXM6JATFJ

not attested not anchored not stored refs pending

Robust maximization of asymptotic growth under covariance uncertainty

Erhan Bayraktar, Yu-Jui Huang

arxiv:1107.2988 v4 · 2011-07-15 · 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{WKXC5K6E4LUICUSZQZXM6JATFJ}

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	2026-05-18T03:14:07.093872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2ae2eabc4e2e8815259866ecf24132a752dcf46bf36745090b631e1f3d84fb1

Aliases

arxiv: 1107.2988 · arxiv_version: 1107.2988v4 · doi: 10.48550/arxiv.1107.2988 · pith_short_12: WKXC5K6E4LUI · pith_short_16: WKXC5K6E4LUICUSZ · pith_short_8: WKXC5K6E

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/WKXC5K6E4LUICUSZQZXM6JATFJ \
  | 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: b2ae2eabc4e2e8815259866ecf24132a752dcf46bf36745090b631e1f3d84fb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d56bb8178b8c223c1ae9577a82bda691efad21eee25a746de51ba6d1a660081d",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2011-07-15T03:21:11Z",
    "title_canon_sha256": "82ebff64126808b297f6516cdfc76e431da42997179bdfd44b34c1568351bae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2988",
    "kind": "arxiv",
    "version": 4
  }
}