Pith Number

pith:LL2KFLBT

pith:2011:LL2KFLBTM3PW4SE7BD26KINQA2

not attested not anchored not stored refs pending

Directional Variance Adjustment: improving covariance estimates for high-dimensional portfolio optimization

Christian W. Hesse, Daniel Bartz, Kerr Hatrick, Klaus-Robert M\"uller, Steven Lemm

arxiv:1109.3069 v3 · 2011-09-14 · q-fin.PM · cs.CE · q-fin.ST

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LL2KFLBTM3PW4SE7BD26KINQA2}

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	2026-05-18T02:21:36.757811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af4a2ac3366df6e489f08f5e521b006ba2d106fdd5a38f8e76bc4a8d6baa60a

Aliases

arxiv: 1109.3069 · arxiv_version: 1109.3069v3 · doi: 10.48550/arxiv.1109.3069 · pith_short_12: LL2KFLBTM3PW · pith_short_16: LL2KFLBTM3PW4SE7 · pith_short_8: LL2KFLBT

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/LL2KFLBTM3PW4SE7BD26KINQA2 \
  | 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: 5af4a2ac3366df6e489f08f5e521b006ba2d106fdd5a38f8e76bc4a8d6baa60a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c5088851320ace49170c77d381c681a4bc7ce9210833ff836c61c7e8d752e42",
    "cross_cats_sorted": [
      "cs.CE",
      "q-fin.ST"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2011-09-14T13:13:51Z",
    "title_canon_sha256": "c83230e6d5f527744ae0ae0b374d5764f5885c08aec8b5117d1704e04d9c2449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3069",
    "kind": "arxiv",
    "version": 3
  }
}