Pith Number

pith:YNHC7BVW

pith:2017:YNHC7BVW3JB3N5V7QMU7NCLT5H

not attested not anchored not stored refs pending

Notes on Fano Ratio and Portfolio Optimization

Willie Yu, Zura Kakushadze

arxiv:1711.10640 v2 · 2017-11-29 · q-fin.PM · q-fin.RM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNHC7BVW3JB3N5V7QMU7NCLT5H}

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	2026-05-18T00:18:46.024741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c34e2f86b6da43b6f6bf8329f68973e9ff706c76c49f1780e2b3f50d3014f6f5

Aliases

arxiv: 1711.10640 · arxiv_version: 1711.10640v2 · doi: 10.48550/arxiv.1711.10640 · pith_short_12: YNHC7BVW3JB3 · pith_short_16: YNHC7BVW3JB3N5V7 · pith_short_8: YNHC7BVW

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/YNHC7BVW3JB3N5V7QMU7NCLT5H \
  | 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: c34e2f86b6da43b6f6bf8329f68973e9ff706c76c49f1780e2b3f50d3014f6f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c2add91ac45adda5513ba55db41975bac4b66c190e02e0f34845609398ef3fa",
    "cross_cats_sorted": [
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2017-11-29T01:28:49Z",
    "title_canon_sha256": "c5e3a12e275b7de34d5c6935651a4eb4a4a74fc4201793e84b25fc4bba287885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10640",
    "kind": "arxiv",
    "version": 2
  }
}