Pith Number

pith:ULZJY5VH

pith:2006:ULZJY5VHMJVS3QMNZSZ225S2O4

not attested not anchored not stored refs pending

The minimal entropy martingale measure for general Barndorff-Nielsen/Shephard models

Gallus Steiger, Thorsten Rheinl\"ander

arxiv:math/0610219 v1 · 2006-10-06 · math.PR · q-fin.ST

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ULZJY5VHMJVS3QMNZSZ225S2O4}

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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	2026-05-18T01:08:49.643424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2f29c76a7626b2dc18dccb3ad765a771bc8e45e650c4bcaf91675a9f9450390

Aliases

arxiv: math/0610219 · arxiv_version: math/0610219v1 · doi: 10.48550/arxiv.math/0610219 · pith_short_12: ULZJY5VHMJVS · pith_short_16: ULZJY5VHMJVS3QMN · pith_short_8: ULZJY5VH

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/ULZJY5VHMJVS3QMNZSZ225S2O4 \
  | 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: a2f29c76a7626b2dc18dccb3ad765a771bc8e45e650c4bcaf91675a9f9450390

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e23be3cd8f95ce50ab5033ce63bd2a0aed4477982bebed180189d193bf49b28",
    "cross_cats_sorted": [
      "q-fin.ST"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-10-06T07:30:33Z",
    "title_canon_sha256": "bd11fb377d861c5f2f37d542372a06f41b9867e6fc092727cf4c25c3fe642ccb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610219",
    "kind": "arxiv",
    "version": 1
  }
}