Pith Number

pith:6GUP3N4C

pith:2024:6GUP3N4CFZ6CHR4GKNOZCVJ52N

not attested not anchored not stored refs pending

Enhancing Portfolio Optimization with Transformer-GAN Integration: A Novel Approach in the Black-Litterman Framework

Enmin Zhu, Jerome Yen

arxiv:2404.02029 v3 · 2024-04-02 · cs.CE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GUP3N4CFZ6CHR4GKNOZCVJ52N}

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	2026-07-05T08:11:02.985980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1a8fdb7822e7c23c786535d91553dd3605fd3e90b277ba5b2b7f70311459e46

Aliases

arxiv: 2404.02029 · arxiv_version: 2404.02029v3 · doi: 10.48550/arxiv.2404.02029 · pith_short_12: 6GUP3N4CFZ6C · pith_short_16: 6GUP3N4CFZ6CHR4G · pith_short_8: 6GUP3N4C

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/6GUP3N4CFZ6CHR4GKNOZCVJ52N \
  | 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: f1a8fdb7822e7c23c786535d91553dd3605fd3e90b277ba5b2b7f70311459e46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a7412f8459c5e9fbe520295232002ad2b7dba882889797f69357b4e7416b671",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2024-04-02T15:17:12Z",
    "title_canon_sha256": "1fb09f1a30211e4079a44933e30c0d2bfb07556665fa07feb8f5872f15f1a2ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.02029",
    "kind": "arxiv",
    "version": 3
  }
}