Pith Number

pith:XPU3CL4G

pith:2015:XPU3CL4GW6YQTD3OKGN7XFCOPZ

not attested not anchored not stored refs pending

Heath-Jarrow-Morton-Musiela equation with L\'evy perturbation

Jerzy Zabczyk, Micha{\l} Barski

arxiv:1512.04714 v1 · 2015-12-15 · q-fin.MF · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPU3CL4GW6YQTD3OKGN7XFCOPZ}

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	2026-05-18T01:24:19.603777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbe9b12f86b7b1098f6e519bfb944e7e4a55f03f603238c808d2fd61894c79a8

Aliases

arxiv: 1512.04714 · arxiv_version: 1512.04714v1 · doi: 10.48550/arxiv.1512.04714 · pith_short_12: XPU3CL4GW6YQ · pith_short_16: XPU3CL4GW6YQTD3O · pith_short_8: XPU3CL4G

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/XPU3CL4GW6YQTD3OKGN7XFCOPZ \
  | 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: bbe9b12f86b7b1098f6e519bfb944e7e4a55f03f603238c808d2fd61894c79a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bc3dbd45a17b491d43d13a042347a7240fc7617dc065d04b0809c20792b8ded",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2015-12-15T10:36:13Z",
    "title_canon_sha256": "024fef666da1b1d510bbb966bda46d6d2089e9fcca2c3d42264e093fae973160"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04714",
    "kind": "arxiv",
    "version": 1
  }
}