Pith Number

pith:7PCK5G6B

pith:2014:7PCK5G6BFV7MP62AKPRCUZO2L5

not attested not anchored not stored refs pending

Entropy and Optimization of Portfolios

Krzysztof Urbanowicz

arxiv:1409.7002 v1 · 2014-08-01 · 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{7PCK5G6BFV7MP62AKPRCUZO2L5}

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	2026-05-18T02:42:00.047907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc4ae9bc12d7ec7fb4053e22a65da5f6fd717d057129b8da979857c8bd91e35

Aliases

arxiv: 1409.7002 · arxiv_version: 1409.7002v1 · doi: 10.48550/arxiv.1409.7002 · pith_short_12: 7PCK5G6BFV7M · pith_short_16: 7PCK5G6BFV7MP62A · pith_short_8: 7PCK5G6B

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/7PCK5G6BFV7MP62AKPRCUZO2L5 \
  | 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: fbc4ae9bc12d7ec7fb4053e22a65da5f6fd717d057129b8da979857c8bd91e35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50d5221cb6461ecff3acba41bcf90c48d8b862b50ba9c50e5221dc312bac8f37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.ST",
    "submitted_at": "2014-08-01T21:57:17Z",
    "title_canon_sha256": "7a2967691f86d3a807d8b39fc4af069a1534894b384c662ad51c980a75737766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7002",
    "kind": "arxiv",
    "version": 1
  }
}