Pith Number

pith:IT5VEQXN

pith:2016:IT5VEQXNBVIKV3JQ22QA2BX4XP

not attested not anchored not stored refs pending

Analytic solution to variance optimization with no short-selling

Fabio Caccioli, G\'abor Papp, Imre Kondor

arxiv:1612.07067 v2 · 2016-12-21 · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IT5VEQXNBVIKV3JQ22QA2BX4XP}

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	2026-05-18T00:26:01.541176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44fb5242ed0d50aaed30d6a00d06fcbbe104d9b2bf6d7f3cd03b848d52fe0e0f

Aliases

arxiv: 1612.07067 · arxiv_version: 1612.07067v2 · doi: 10.48550/arxiv.1612.07067 · pith_short_12: IT5VEQXNBVIK · pith_short_16: IT5VEQXNBVIKV3JQ · pith_short_8: IT5VEQXN

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/IT5VEQXNBVIKV3JQ22QA2BX4XP \
  | 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: 44fb5242ed0d50aaed30d6a00d06fcbbe104d9b2bf6d7f3cd03b848d52fe0e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d0690688135b1b7ac10adfa63d8cde3a7bb9a6f6a67d9b1cdbe8f1d568a4a79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2016-12-21T11:44:38Z",
    "title_canon_sha256": "aa6e3a6f8631a6f5a0878f6454e2c3a920970777024992f576b93a865bd3e2b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07067",
    "kind": "arxiv",
    "version": 2
  }
}