Pith Number

pith:T5BE3DPM

pith:2018:T5BE3DPMLBAI3LDPWNLJXGEYVF

not attested not anchored not stored refs pending

Calculating CVaR and bPOE for Common Probability Distributions With Application to Portfolio Optimization and Density Estimation

Matthew Norton, Stan Uryasev, Valentyn Khokhlov

arxiv:1811.11301 v2 · 2018-11-27 · q-fin.RM · math.OC · math.PR · stat.OT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5BE3DPMLBAI3LDPWNLJXGEYVF}

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	2026-05-17T23:53:50.091727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f424d8dec58408dac6fb3569b9898a94292ff1aab324e40839b5135643935df

Aliases

arxiv: 1811.11301 · arxiv_version: 1811.11301v2 · doi: 10.48550/arxiv.1811.11301 · pith_short_12: T5BE3DPMLBAI · pith_short_16: T5BE3DPMLBAI3LDP · pith_short_8: T5BE3DPM

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/T5BE3DPMLBAI3LDPWNLJXGEYVF \
  | 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: 9f424d8dec58408dac6fb3569b9898a94292ff1aab324e40839b5135643935df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b448fe219ccca2716e87c256e1350e3abcbcb7361905c7b868e8b51853e1caa6",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR",
      "stat.OT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2018-11-27T23:00:06Z",
    "title_canon_sha256": "b2b33fb40ccee7c0c4e6cab16b8fef7c4a5c350d248bbcf97b843a9cc5a997a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.11301",
    "kind": "arxiv",
    "version": 2
  }
}