Pith Number

pith:CC6N4P2W

pith:2026:CC6N4P2WMH5SOPTXNPQWDKEUBT

not attested not anchored not stored refs pending

The Mathematics of Heuristic Portfolio Optimization (HPO)

Miquel Noguer i Alonso

arxiv:2606.12612 v1 · 2026-06-10 · 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{CC6N4P2WMH5SOPTXNPQWDKEUBT}

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	2026-06-12T00:07:56.344024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10bcde3f5661fb273e776be161a8940cf1360e9d1adf12e408884c0a2d912be7

Aliases

arxiv: 2606.12612 · arxiv_version: 2606.12612v1 · doi: 10.48550/arxiv.2606.12612 · pith_short_12: CC6N4P2WMH5S · pith_short_16: CC6N4P2WMH5SOPTX · pith_short_8: CC6N4P2W

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/CC6N4P2WMH5SOPTXNPQWDKEUBT \
  | 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: 10bcde3f5661fb273e776be161a8940cf1360e9d1adf12e408884c0a2d912be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd6ac76ae2789a5ed79d280a6c34e41bb6303d49a689e9566801223ed1f666f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2026-06-10T19:13:53Z",
    "title_canon_sha256": "2efc407f0f7622f34bb9b94078b2e5c9b9419cf4baebe3cae1183905e800510f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12612",
    "kind": "arxiv",
    "version": 1
  }
}