Pith Number

pith:775ADGGC

pith:2015:775ADGGCOSV5ANEWIX2VX4CRGA

not attested not anchored not stored refs pending

Optimal Rebalancing Frequencies for Multidimensional Portfolios

Ibrahim Ekren, Johannes Muhle-Karbe, Ren Liu

arxiv:1510.05097 v4 · 2015-10-17 · 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{775ADGGCOSV5ANEWIX2VX4CRGA}

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	2026-05-18T00:36:10.048684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fffa0198c274abd0349645f55bf05130043680e3908f310f56cf1e00ac8a840f

Aliases

arxiv: 1510.05097 · arxiv_version: 1510.05097v4 · doi: 10.48550/arxiv.1510.05097 · pith_short_12: 775ADGGCOSV5 · pith_short_16: 775ADGGCOSV5ANEW · pith_short_8: 775ADGGC

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/775ADGGCOSV5ANEWIX2VX4CRGA \
  | 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: fffa0198c274abd0349645f55bf05130043680e3908f310f56cf1e00ac8a840f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804dc063fff3650bf5f64eefd58f1774efc9af13a633c6d6baa478e1ea63848c",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2015-10-17T08:16:48Z",
    "title_canon_sha256": "c5d5f47eb5f2fe2559f7df4da8c934329b931ba42da4bf601ab5456a68e92429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05097",
    "kind": "arxiv",
    "version": 4
  }
}