Pith Number

pith:HD42MSTW

pith:2016:HD42MSTWK34GC5VQV4UG6UR5MX

not attested not anchored not stored refs pending

A Risk-Neutral Equilibrium Leading to Uncertain Volatility Pricing

Johannes Muhle-Karbe, Marcel Nutz

arxiv:1612.09152 v2 · 2016-12-29 · q-fin.MF · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HD42MSTWK34GC5VQV4UG6UR5MX}

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	2026-05-18T00:26:51.863005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38f9a64a7656f86176b0af286f523d65cc0a18a0d5c22719ad69d67f1c46987a

Aliases

arxiv: 1612.09152 · arxiv_version: 1612.09152v2 · doi: 10.48550/arxiv.1612.09152 · pith_short_12: HD42MSTWK34G · pith_short_16: HD42MSTWK34GC5VQ · pith_short_8: HD42MSTW

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/HD42MSTWK34GC5VQV4UG6UR5MX \
  | 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: 38f9a64a7656f86176b0af286f523d65cc0a18a0d5c22719ad69d67f1c46987a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9a4cd042e9ae25066e9a436eda279ac3932cd88f7f1045de230729ddb852f4c",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2016-12-29T14:12:31Z",
    "title_canon_sha256": "72d68b8918b7d64f011adec49576b84871a9a002cb751ee7479e4907c07daff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09152",
    "kind": "arxiv",
    "version": 2
  }
}