Pith Number

pith:PHDLNEEG

pith:2016:PHDLNEEGXZUV4UQHCGWGT2UR3P

not attested not anchored not stored refs pending

Robust Markowitz mean-variance portfolio selection under ambiguous covariance matrix *

Amine Ismail (LPMA), CREST), Huy\^en Pham (LPMA

arxiv:1610.06805 v2 · 2016-10-21 · 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{PHDLNEEGXZUV4UQHCGWGT2UR3P}

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	2026-05-18T00:48:53.883908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79c6b69086be695e520711ac69ea91dbc327b0562d31a26fd908bd5684dcbb77

Aliases

arxiv: 1610.06805 · arxiv_version: 1610.06805v2 · doi: 10.48550/arxiv.1610.06805 · pith_short_12: PHDLNEEGXZUV · pith_short_16: PHDLNEEGXZUV4UQH · pith_short_8: PHDLNEEG

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/PHDLNEEGXZUV4UQHCGWGT2UR3P \
  | 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: 79c6b69086be695e520711ac69ea91dbc327b0562d31a26fd908bd5684dcbb77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1b9a73248ed73109a6b0715cd3bfd9930b32e29bbfacf525b2db6c6dd86361e",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2016-10-21T14:35:47Z",
    "title_canon_sha256": "eaf6e1d7cdb963e3db6fcf87c8c0379ae5abe509540e6a52749ef3861e239f2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06805",
    "kind": "arxiv",
    "version": 2
  }
}