Pith Number

pith:S2Z3YGGB

pith:2016:S2Z3YGGB2VKXJWIFKBIT4TDH2D

not attested not anchored not stored refs pending

Portfolio Optimisation Under Flexible Dynamic Dependence Modelling

Leopoldo Catania, Mauro Bernardi

arxiv:1601.05199 v1 · 2016-01-20 · q-fin.PM · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2Z3YGGB2VKXJWIFKBIT4TDH2D}

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	2026-05-18T01:22:15.851399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96b3bc18c1d55574d90550513e4c67d0f8f6e14bbecc245403a0245b21ae40da

Aliases

arxiv: 1601.05199 · arxiv_version: 1601.05199v1 · doi: 10.48550/arxiv.1601.05199 · pith_short_12: S2Z3YGGB2VKX · pith_short_16: S2Z3YGGB2VKXJWIF · pith_short_8: S2Z3YGGB

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/S2Z3YGGB2VKXJWIFKBIT4TDH2D \
  | 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: 96b3bc18c1d55574d90550513e4c67d0f8f6e14bbecc245403a0245b21ae40da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbd86817f9efbdd31e5f547abc5648e0e89050643a6ebbfc12c9075d363d0c48",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2016-01-20T08:42:28Z",
    "title_canon_sha256": "3461070447fedc66c261a34207aa8be8c7d1ec4dededbfe8b2cbed609bd05e78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05199",
    "kind": "arxiv",
    "version": 1
  }
}